DOE-STD-3013-2018, Stabilization, Packaging and Storage of Plutonium-Bearing Materials
This Standard provides criteria for stabilization of plutonium-bearing materials at DOE facilities to safe and stable forms and packaging for storage with minimal surveillance for up to 50 years. This Standard applies to plutonium-bearing metals and oxides containing at least 30 wt% plutonium plus uranium. For enriched uranium metal, the plutonium content must be sufficiently high that the material is not acceptable at the Oak Ridge Y-12 Plant (Y/LB-15). As a practical limit for oxide materials containing significant quantities of uranium, the plutonium content must be greater than the
applicable Safeguards Termination Limit. There is no lower limit for uranium. This Standard does not apply to materials destined for disposal in accordance with waste acceptance criteria for Waste Isolation Pilot Plant (WIPP) or other approved waste disposal sites, such as plutonium residues or transuranic (TRU) waste; Irradiated Fuels; sealed sources; material packaged per DOE M 441.1-1; materials containing greater than 0.5 wt% uranium-233; or plutonium solutions. Supersedes DOE-STD-3013-2012.
Supersedes:
Version history and related documents
Supersedes
Earlier documents this one replaced.
Document text
Text extracted from the attached file. Refer to the original document for the authoritative version.
Section 1
NOT MEASUREMENT
SENSITIVE
DOE-STD-3013-2018
November 2018
DOE STANDARD
STABILIZATION, PACKAGING, AND STORAGE
OF PLUTONIUM-BEARING MATERIALS
U.S. Department of Energy AREA PACK
Washington, D.C. 20585
DISTRIBUTION STATEMENT A. Approved for public release; distribution is unlimited.
z
TS
Available on the Department of Energy Technical Standards Program website at
http://www.standards.doe.gov
DOE-STD-3013-2018
i
FOREWORD
This Standard provides guidance for the stabilization, packaging, and safe storage of plutonium-
bearing metals and oxides containing at least 30 wt% plutonium plus uranium. It supersedes
DOE-STD-3013-2012, “Stabilization, Packaging, and Storage of Plutonium-Bearing Materials,”
and is approved for use by all DOE organizations and their contractors. Metals are stabilized by
removing liquids, organics, and corrosion products, and oxides are stabilized by heating in an
oxidizing atmosphere at an elevated temperature. Requirements for design, construction, and
testing of the storage container are included. Loading limits for the storage container and
safety-related requirements for the packaging process are specified. Broad requirements for
container surveillance during storage are outlined, and record-keeping requirements are
detailed.
1. This Department of Energy (DOE) Standard supersedes DOE-STD-3013-2012, “Stabilization,
Packaging, and Storage of Plutonium-Bearing Materials,” and is approved for use by all DOE
organizations and their contractors. This Standard deals with stabilization, packaging, and
storage of plutonium-bearing materials. Plutonium-bearing materials stabilized and
packaged to meet earlier versions of the standard remain DOE-STD-3013 compliant without
further evaluation.
2. Responsibility for management of this Standard has been assigned to the Office of
Environmental Management (EM), and implementing actions will be taken by Assistant
Manager for Nuclear Materials Stabilization (AMNMS), Savannah River Operations Office.
Beneficial comments (recommendations, additions, deletions) and pertinent data that may
improve this document should be sent to AMNMS. Questions regarding this Standard should
be addressed to AMNMS. Modifications of any kind (Revisions or Change Notices) to this
Standard must be submitted to AMNMS.
3. DOE technical standards, such as this Standard, do not establish requirements. However, all
or part of the provisions in a DOE standard can become requirements under the following
circumstances:
• they are explicitly stated to be requirements in a DOE requirements document; or
• the organization makes a commitment to meet the Standard in a contract or in an
implementation plan or program plan required by a DOE requirements document.
4. Throughout this Standard, the word “shall” is used to denote actions that must be
performed if the objectives of this Standard are to be met. If the provisions of this Standard
become requirements through one of the ways discussed above, then the “shall” statements
would become requirements.
5. Requests for equivalency for any DOE-STD-3013 criteria or evaluations/determinations listed
below shall be submitted in writing to AMNMS for approval:
• Technical evaluation of an alternate analytical method for stabilization verification;
• Technical evaluation of a qualified process to reduce testing requirements for stabilized
DOE-STD-3013-2018
ii
material;
• Use of approved evaluations/equivalencies to previous revisions of DOE-STD-3013 for
Section 2
materials yet to be packaged;
• Determination that a proposed alternative criterion or alternative approach to satisfying
one or more criteria is technically equivalent, in terms of safety, to the Standard Criteria;
or
• Technical evaluation of a well-defined expansion of scope, under closely controlled
conditions.
AMNMS will provide a DOE-approved recommendation to the responsible DOE official
making the request. For copies of approved documents, contact the AMNMS.
DOE-STD-3013-2018
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TABLE OF CONTENTS
ACRONYMS ............................................................................................................. VII
1. SCOPE ................................................................................................................... 1
2. PURPOSE .............................................................................................................. 2
3. APPLICABILITY .................................................................................................... 2
4. REFERENCES ......................................................................................................... 2
4.1. DOE Documents .................................................................................................. 2
4.2. Other Government Documents ............................................................................. 2
4.3. Non-Government Documents ............................................................................... 2
5. DEFINITIONS ....................................................................................................... 3
6. STABILIZATION, PACKAGING, AND STORAGE CRITERIA ..................................... 4
6.1. Stabilized Materials .............................................................................................. 4
6.2. 3013 Container ................................................................................................... 6
6.3. Contents ............................................................................................................. 9
6.4. Storage - Integrated Surveillance and Monitoring Program ...................................... 9
6.5. Documentation ..................................................................................................10
6.6. Quality Assurance ...............................................................................................12
APPENDIX A. TECHNICAL BASES FOR STABILIZATION, PACKAGING AND STORAGE
OF PLUTONIUM-BEARING MATERIALS ................................................................... A-1
A.1. SCOPE ............................................................................................................... A-1
A.2. PURPOSE .......................................................................................................... A-3
A.3. APPLICABILITY ................................................................................................ A-4
A.4. REFERENCES ..................................................................................................... A-4
A.5. ACRONYMS AND DEFINITIONS ........................................................................ A-4
DOE-STD-3013-2018
iv
A.6. STABILIZATION, PACKAGING, AND STORAGE CRITERIA ................................. A-5
A.6.1. Stabilized Materials ...................................................................................... A-5
A.6.2. 3013 Container ......................................................................................... A-19
Section 3
A.6.3. Contents ................................................................................................... A-25
A.6.4. Storage - Integrated Surveillance and Monitoring Program ............................ A-31
A.6.5. Documentation .......................................................................................... A-32
A.6.6. Quality Assurance ...................................................................................... A-33
APPENDIX B. DERIVATION AND GUIDANCE ON USE OF THE PRESSURE EQUATION
B-1
B.1. INTRODUCTION ................................................................................................ B-1
B.2. DERIVATION ..................................................................................................... B-3
B.2.1. Geometry Consideration ............................................................................... B-3
B.2.2. Material ...................................................................................................... B-5
B.2.3. Defining the pressure terms ......................................................................... B-8
B.3. APPLICATION OF THE PRESSURE EQUATION ................................................. B-14
B.3.1. Estimated Temperatures ............................................................................ B-14
B.3.2. Example Calculations ................................................................................. B-15
B.4. PLUTONIUM RADIOACTIVE DECAY AND THERMAL POWER ........................... B-20
B.4.1. Expected Isotopic Compositions .................................................................. B-20
APPENDIX C. REFERENCES ................................................................................... C-1
APPENDIX D. CONCLUDING MATERIAL ................................................................ D-1
DOE-STD-3013-2018
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TABLE OF TABLES
Table A-1. Deliquescent RH of chloride salts used in pyroprocessing. DRH values are at 25 °C
unless otherwise indicated....................................................................................... A-18
Table A-2. Calculated temperatures (°C) in a 9975 package .............................................. A-27
Table A-3. Comparative models for oxide at 19 watts calculated temperatures (ºC) ............ A-28
Table B-1. Symbols and units ........................................................................................... B-1
Table B-2. Volumes associated with the container configurations that have been used to date.
All volumes are in liters. ............................................................................................ B-4
Table B-3. The bounding values of the H2 fraction for use in the pressure equation that results
in the lines in Figure B-4. ........................................................................................ B-11
Table B-4. Values of parameters used to calculate particle density .................................... B-15
Table B-5. Values of parameters used to calculate pressure of a typical loading ................. B-16
Table B-6. Values of parameters used to calculate pressure for material with unknown density B-
17
Table B-7. The effect of moisture content on the maximum pressure. ............................... B-20
Table B-8. The effect of material mass on the maximum pressure. .................................... B-20
Table B-9. Decay energy for relevant nuclides ................................................................. B-22
Section 4
Table B-10. Isotopic mix and specific thermal power for various grades of plutonium oxide . B-22
TABLE OF FIGURES
Figure B-1. Illustration of the components of free gas volume.............................................B-1
Figure B-2. Comparison of calculated densities to measured particle densities for SRS
destructive examination of materials. The blue dots are the calculated densities using
Equation 6. The red x’s are 90% of the calculated densities. ........................................ B-6
Figure B-3. The packing fraction of MIS represented material (red x’s) and material from 3013
containers that have undergone destructive evaluation through 2010 (black circles). ..... B-8
Figure B-4. Plotted are the calculated H2 fractions observed during DE of compliant 3013
containers for the four packaging sites and for the non-compliant Hanford High Moisture
file://Users/l106403/Documents/MIS/3013%20Standard%20revisions/DOE_STD_3013%20revision/Comment%20resolution%20phase/DOE-STD-3013-YR%20rev%203Jul2018%20clean%20copy%20revcom%20responses.docx#_Toc518376392
DOE-STD-3013-2018
vi
Container (HHMC). The blue dashed line is the H2 fraction bounding value from statistical
analysis of the DE data excluding the HHMC. The green dash-dot line is an empirical
boundary that ties the H2 fraction statistical value of 0.13 to the bounding value for the
entire DE population of 0.25. ................................................................................... B-10
Figure B-5. Bounding pressure as a function of bulk density for the statistical model in B.3.2.3.
............................................................................................................................. B-19
Figure B-6. Specific thermal power as a function of time for several grades of plutonium oxide.
............................................................................................................................. B-23
file://Users/l106403/Documents/MIS/3013%20Standard%20revisions/DOE_STD_3013%20revision/Comment%20resolution%20phase/DOE-STD-3013-YR%20rev%203Jul2018%20clean%20copy%20revcom%20responses.docx#_Toc518376396
file://Users/l106403/Documents/MIS/3013%20Standard%20revisions/DOE_STD_3013%20revision/Comment%20resolution%20phase/DOE-STD-3013-YR%20rev%203Jul2018%20clean%20copy%20revcom%20responses.docx#_Toc518376396
file://Users/l106403/Documents/MIS/3013%20Standard%20revisions/DOE_STD_3013%20revision/Comment%20resolution%20phase/DOE-STD-3013-YR%20rev%203Jul2018%20clean%20copy%20revcom%20responses.docx#_Toc518376397
file://Users/l106403/Documents/MIS/3013%20Standard%20revisions/DOE_STD_3013%20revision/Comment%20resolution%20phase/DOE-STD-3013-YR%20rev%203Jul2018%20clean%20copy%20revcom%20responses.docx#_Toc518376397
DOE-STD-3013-2018
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ACRONYMS
AMNMS Assistant Manager for Nuclear Materials Stabilization,
Savannah River Operations Office
ANSI American National Standards Institute
ASME American Society of Mechanical Engineers
CFR Code of Federal Regulations
DOE United States Department of Energy
DSA Documented Safety Analysis
EM Office of Environmental Management
IDC
ISMP
Item Description Code
Integrated Surveillance and Monitoring Program
LOI Loss on Ignition
MBA Material Balance Area
MC&A
MIS-WG
Materials Control and Accountability
Materials Identification and Surveillance Working Group
SARP Safety Analysis Report for Packaging
TGA Thermogravimetric Analysis
TRU Transuranic
WIPP Waste Isolation Pilot Plant
Section 5
DOE-STD-3013-2018
1
1. SCOPE
This Standard provides criteria for stabilization of plutonium-bearing materials at DOE
facilities to safe and stable forms and packaging for storage with minimal surveillance
for up to 50 years. This Standard applies to plutonium-bearing metals and oxides
containing at least 30 wt% plutonium plus uranium. For enriched uranium metal, the
plutonium content must be sufficiently high that the material is not acceptable at the
Oak Ridge Y-12 Plant (Y/LB-15). As a practical limit for oxide materials containing
significant quantities of uranium, the plutonium content must be greater than the
applicable Safeguards Termination Limit. There is no lower limit for uranium. This
Standard does not apply to materials destined for disposal in accordance with waste
acceptance criteria for Waste Isolation Pilot Plant (WIPP) or other approved waste
disposal sites, such as plutonium residues or transuranic (TRU) waste; Irradiated Fuels;
sealed sources; material packaged per DOE M 441.1-1; materials containing greater
than 0.5 wt% uranium-233; or plutonium solutions.
A significant portion of the DOE plutonium oxide inventory contains chloride. For
example, the oxide material from electrorefining processes can contain percent levels of
chloride. The presence of even lower levels of chloride can catalyze stress corrosion
cracking in stainless steel, the material specified in this Standard for the containers
(Section 6.2.2.1). The Standard does not impose a limit on chloride content because the
extent of corrosion is limited by the available moisture, rather than the available
chloride. The Standard does require humidity controls to prevent salt deliquescence
between thermal stabilization and packaging (Section 6.1.2.4 and Section 6.1.4). The
humidity control and the available moisture limitation (Section 6.1.2.3) in this Standard
are considered sufficient to avoid significant corrosion.
This Standard addresses the safety envelope of the storage container. The design,
construction, and testing criteria (Section 6.2) assure that the outer container will
remain a robust barrier during anticipated storage conditions. Low levels of removable
contamination (above clean-area limits) are allowed on the exterior of the inner
container (Section 6.2.3.2.3) prior to packaging into the outer container. In addition,
once the inner is packaged into the outer container, the inner container integrity cannot
be assured. This Standard does not address the safety aspects (e.g., contamination
inside the outer container, reactivity of metal, internal pressurization, etc.) associated
with opening the containers. Storage facility design, safeguards and security interfaces,
and transportation requirements are addressed in detail in other DOE directives (e. g.,
policies and orders) and other agencies’ regulations. Such requirements are not
repeated in this Standard. Users of this Standard are advised to consult and assure
adherence with other applicable directives and implementing documents (for example,
Safety Analysis Report for Packaging (SARP) documents, facility-specific Documented
Safety Analyses (DSAs), and receiving site acceptance requirements).
DOE-STD-3013-2018
2
2. PURPOSE
These criteria provide a basis for assuring that plutonium-bearing materials will be stable
for safe, long-term storage at DOE facilities requiring minimal surveillance under
anticipated handling, shipping, and storage conditions until their final disposition.
Section 6
3. APPLICABILITY
All DOE organizations and their contractors may use this Standard.
4. REFERENCES
4.1. DOE Documents
AMNMS-15-0014 Integrated Surveillance and Monitoring Program for
Materials Packaged to Meet DOE-STD-3013, May, 2015.
DOE Manual 441.1-1, Chg 1 Nuclear Material Packaging Manual, February 24, 2016.
DOE Order 414.1D, Chg 1 Quality Assurance, May 8, 2013.
DOE Order 440.1B, Chg 2 Worker Protection Management for DOE Including The
National Nuclear Security Administration Federal and
Contractor Employees, March 14, 2013
DOE-STD-1098-2008, Chg Notice 1 Radiological Control, June 16, 2009.
Y/LB-15, 920/Rev. 1 Criteria for Acceptance and Technical Assessment for
Acceptance of Enriched Uranium at the Y-12 Plant, March
1997.
4.2. Other Government Documents
10 CFR Part 835, Occupational Radiation Protection
49 CFR Part 178, Specifications for Packagings
4.3. Non-Government Documents
ANSI N14.5-2014, Standard for Radioactive Materials - Leakage Tests on Packages for
Shipment, American National Standards Institute, Inc. (ANSI), New York, NY, 2014
ASME Boiler & Pressure Code, Section VIII, American Society for Mechanical Engineers
(ASME), 2017
DOE-STD-3013-2018
3
5. DEFINITIONS
3013 Container The assembled combination of containers required by this
Standard.
Design Pressure A characteristic of a sealed container, which indicates its
ability to withstand internal pressurization. In the language of
the American Society of Mechanical Engineers (ASME) Boiler
and Pressure Vessel Code, it is the “Maximum Allowable
Working Pressure.”
Fabricated Fuel Nuclear reactor fuel elements (pins, plates, assemblies, etc.)
consisting of plutonium-bearing material completely contained
within a cladding (including end fittings), manufactured and
maintained with a very high quality and quality assurance.
Free Gas Volume That portion of the sealed container that is available to the fill
gas and any gases generated during storage. See Appendix B
for further discussion.
Item Description
Code
A site-specific code used to categorize material for Material
Control and Accountability (MC&A) purposes that may be
indicative of process of origin or chemical impurities.
Irradiated Fuel Nuclear material, including Fabricated Fuel, that in its existing
form, has been subjected to irradiation in a nuclear reactor or
accelerator.
Loss on Ignition For this standard, defined as mass loss measured after a
weighed sample is heated in air to 1000 °C for at least one
hour, to measure any weight change due to residual volatile
species.
Material Temperature The lowest temperature within a mass of heated material. In
other words, all of the material is at or above this
temperature.
Oxide Plutonium oxide with accompanying non-plutonium
constituents that have been exposed to oxidizing conditions.
Non-plutonium constituents include other actinides, such as
uranium and americium, and compounds, such as magnesium
oxide and sodium chloride, derived from chemicals used in
plutonium or fuel materials processing.
DOE-STD-3013-2018
4
Oxidizing Atmosphere For this Standard, defined as gaseous atmosphere in which
the supplied gas is air or a gas mixture of O2 and an inert gas
such as He, Ar, or N2, in which the O2 percentage is equal to
or greater than air.
Thermal Power The rate of heat generated by radioactive decay of the
material.
Safeguards
Termination Limit
The maximum plutonium concentration upon which Materials
Control and Accountability and physical protection can be
terminated.
Section 7
Thermogravimetric
Analysis
For this Standard, defined as heating a sample in an inert
atmosphere to 1000 °C and measuring weight change during
the heating due to residual volatile species.
Thermogravimetric
Analysis with Fourier
Transform Infrared
or Mass Spectrometry
For this Standard, defined as heating a sample in an inert
atmosphere to 1000 °C and measuring both the weight
change and analyzing the gas generated using either a Fourier
Transform Infrared or Mass Spectrometer.
6. STABILIZATION, PACKAGING, AND STORAGE CRITERIA
When measured values are compared with the following criteria in this Standard,
measurement uncertainty must be included to provide confidence that these criteria are
met. This applies specifically to material temperature (6.1.2.1), moisture content
(6.1.2.3 and 6.1.4), mass of plutonium and other fissionable isotopes (6.3.2.1), total
mass of contents (6.3.2.1), total thermal power (6.3.2.2) and relative humidity (6.1.2.4
and 6.1.4).
6.1. Stabilized Materials
Because of the significant differences in the chemical and physical properties of metals,
oxides, and engineered materials (and in their processing methods) criteria are provided
for each material category.
6.1.1. Plutonium-Bearing Metals and Alloys
6.1.1.1. Metal pieces to be packaged shall have a specific surface area less than 1 cm2/g and
in no case shall pieces less than 10 g be packaged. This limit may be implemented
by either restricting pieces such that each weighs at least 50 g or by performing
calculations for each material type and performing appropriate physical
measurements (for example, weight, dimensional measurements, etc.) on each
piece. Foils, turnings and wires shall not be packaged under this Standard.
DOE-STD-3013-2018
5
6.1.1.2. At the time of packaging, metals shall be visually free of non-adherent corrosion
products (including oxide), liquids, and organic materials such as plastics and oils.
6.1.1.3. Briquettes made by pressing plutonium turnings shall not be stored under the
provisions of this Standard.
6.1.2. Oxides
6.1.2.1. Stabilization Conditions: Oxides shall be stabilized by heating the material in an
oxidizing atmosphere to a material temperature of at least 950 °C (1742 °F) for at
least 2 hours.
6.1.2.2. (a) Stabilization Verification: Materials that have been stabilized shall have their
moisture content measured by using a demonstrated, technically appropriate
method. Approved methods are Thermogravimetric Analysis (TGA), TGA with mass
spectrometer or infrared spectrometer, Loss on Ignition (LOI) (limited to oxide of
80% or greater plutonium plus uranium), Full-batch LOI, or previously approved
alternative measurement techniques per Foreword Item 5.
(b) Process Qualification: Materials that have been stabilized and packaged using a
“qualified process” shall be subject to reduced testing requirements. A qualified
process is one that has been demonstrated and approved as indicated in the
Foreword, Item 5, to consistently produce in a production environment, materials for
packaging which meet the requirements of Criterion 6.1.2.3. Once the process has
been qualified, material testing is required only to the extent necessary to show
continued process control.
6.1.2.3. Stabilization Verification Criterion: The moisture content of oxide to be packaged in
any type of sealed container shall be less than 0.5 wt% at the time of packaging.
Section 8
6.1.2.4. Handling after Stabilization: Oxides suspected to contain chloride salts (see
A.6.1.2.4) must have the time and relative humidity to which they are exposed after
stabilization controlled such that deliquescence does not occur. Specifically, oxides
suspected to contain alkaline earth chlorides above trace levels (see A.6.1.2.4) shall
not be exposed after stabilization to a relative humidity greater than 15%. This
Section also applies to material in Deferred Packaging Section 6.1.4.
6.1.3. Engineered Materials
At the time of packaging, these materials shall be visually free of liquids and organic
materials such as plastics and oils.
6.1.3.1. Unirradiated Fabricated Fuel, consisting of sintered plutonium-uranium oxide pellets
clad with zircalloy or stainless steel having adequate quality and surveillance history
DOE-STD-3013-2018
6
to assure its integrity is considered to meet all the requirements of Section 6.1.2
without additional stabilization or testing. Fuel pellets extracted from such fuel are
also considered to meet all the requirements of Section 6.1.2 at the time they are
declad. Clad metal fuel with a similar assurance of cladding integrity is considered to
meet all the requirements of Section 6.1.1.
6.1.3.2. Unclad sintered plutonium-uranium oxide fuel pellets that satisfy Criterion 6.1.2.3
are considered to meet the requirements of Section 6.1.2 without additional
stabilization. Sintered plutonium-uranium oxide pellets that cannot meet the
requirements of Criterion 6.1.2.3 shall be stabilized according to Criterion 6.1.2.1,
and shall be tested and meet Criteria 6.1.2.2 and 6.1.2.3 of this Standard prior to
packaging.
6.1.4. Storage after Stabilization – Deferred Packaging
Oxide that has previously been stabilized as specified in Criterion 6.1.2.1, met the
testing and stabilization criteria specified in 6.1.2.2 and 6.1.2.3 at the time of
stabilization, and was placed in a closed container (such as a convenience can) may be
packaged into the inner and outer containers described in this Standard without
additional stabilization, provided the container and contents appear unchanged and the
moisture content can be shown to be less than 0.5 wt%. The moisture content may be
determined, for example, by measurement at the time of packaging into the inner
container or by adding any weight gain during the time between stabilization and
packaging into the inner container to the moisture content at the time of stabilization.
Oxides suspected to contain chloride salts must have the time and relative humidity to
which they are exposed after stabilization controlled such that deliquescence does not
occur. Specifically, oxides suspected to contain alkaline earth chlorides above trace
levels (see A.6.1.2.4) shall not be exposed after stabilization to a relative humidity
greater than 15%, same as 6.1.2.4 above.
6.2. 3013 Container
6.2.1. Container Design Concept
6.2.1.1. The container shall consist of a minimum of two individually sealed, nested
containers to isolate the stored materials from the environment. The outer container
provides the pressure boundary to prevent release of the contents. The inner
container provides an additional isolation boundary. It is also an internal pressure
indicator for oxides. The outer and inner containers shall be sealed by welding. The
use of convenience containers within the inner container is optional when packaging
plutonium-bearing metals or alloys and engineered materials, but is required when
packaging plutonium-bearing oxides.
Section 9
DOE-STD-3013-2018
7
6.2.1.2. Interior containers* shall be sized to fit in the next outer container with adequate
clearance for welding the next outer container.
6.2.1.3. Both the outer and all interior containers shall allow for non-destructive assay of
contents by typical MC&A techniques and inspection/surveillance by radiography.
6.2.1.4. When packaging plutonium bearing oxides, the inner container shall allow for an
indication, detectable by non-destructive means, of a buildup of internal pressure of
790 kPa (100 psig) or greater. If a convenience container is used, it shall allow
sufficient gas leakage so that this pressure indication is representative of the entire
volume of the inner container.
6.2.1.5. The minimum Design Pressure of the outer container shall be 4920 kPa (699 psig).
Appendix B discusses potential pressurization mechanisms and the maximum
anticipated pressure.
6.2.1.6. The outer container shall be designed to the requirements outlined in DOE Order
440.1B, Chg 2, Attachment 1, Section 7, and shall be capable of being designated
“Safety Class.”
6.2.2. Container Construction
6.2.2.1. Both the inner and outer containers shall be fabricated of 304L or 316L series
stainless steel or equivalent. Closure welding shall be performed using procedures
that minimize sensitization of the materials of construction to minimize stress
corrosion cracking. Any additional interior containers shall be made of materials
compatible with the inner and outer containers.
6.2.2.2. Neither the outer nor the interior containers* shall include combustible or organic
material in their construction. Further, neither elastomeric gaskets nor organic
coatings may be applied to any of the containers, including the convenience
container.
6.2.2.3. The loaded and assembled outer container shall fit within a right circular cylinder
with the following maximum dimensions:
(a) Inside diameter 127 mm (5.00 in.); and
(b) Internal height of 255 mm (10.04 in.).
6.2.2.4. Both the inner and outer containers shall have unique permanent identification
markings, such as by etching or engraving.
* The term “interior containers” means the inner container and any convenience containers.
DOE-STD-3013-2018
8
6.2.3. Container Testing Criteria
6.2.3.1. Design Qualification Testing
(a) The outer container shall remain leaktight as defined by American National
Standards Institute (ANSI) N14.5 after a free drop of the 3013 container
(outer container, inner container, and simulated contents) from a 9-meter
(30 ft.) height onto a flat, essentially unyielding, horizontal surface. The drop
test shall follow the test procedures specified in applicable portions of 49
Code of Federal Regulations (CFR) Section 178.603, and shall be conducted
using containers as specified by 49 CFR Section 178.601, loaded with non-
radioactive material that simulates the planned loading for the container.
(b) The inner container shall remain leaktight as defined by ANSI N14.5 after a
free drop of the container (including simulated contents) from a 1.3-meter (4
ft.) height onto a flat, essentially unyielding, horizontal surface. The drop test
shall follow the test procedures specified in applicable portions of 49 CFR
Section 178.603, and shall be conducted using containers as specified by 49
CFR Section 178.601, loaded with non-radioactive material that simulates the
planned loading for the container.
Section 10
(c) The outer container shall remain leaktight, as defined in ANSI N14.5, after a
hydrostatic proof-test to 1.5 times the Design Pressure (see 6.2.1.5). The
test shall be conducted using containers as specified by 49 CFR Section
178.601.
6.2.3.2. Testing and Inspection Following Container Closure
(a) Both the inner and outer containers shall be tested for leaktightness, as
defined in ANSI N14.5, at their time of closure.
(b) Container leak tests shall be performed within 30 days of container closure.
(c) Initial baseline for pressure indication, required for oxides but not metals,
shall be performed within 30 days of inner container closure.
(d) The exterior surface of the outer container shall not, at the time of assembly
and closure, exceed the removable surface contamination values specified by
10 CFR 835, Appendix D and DOE-STD-1098-2017 at the time of assembly
and closure. The interior surface shall be similarly contamination-free at least
until the inner container is inserted.
DOE-STD-3013-2018
9
(e) The removable surface contamination level on the exterior surface of the
inner container, at the time of its closure into the outer container, shall be as
low as reasonably achievable, and shall not exceed 2000 dpm/100 cm2.
6.3. Contents
6.3.1. Container Fill Gas
6.3.1.1. The atmosphere within any of the containers (including the convenience container, if
used) shall not react adversely with the containers or contained materials.
6.3.1.2. The atmospheres within the inner and outer containers shall not preclude leak-
testing of the containers.
6.3.2. Contained Materials
6.3.2.1. The total mass of plutonium and other fissionable isotopes within either metal or
oxide contents shall not exceed 4.40 kg (9.70 lb.). The total mass of the contents,
whether metal or oxide, shall not exceed 5.00 kg (11.02 lb.).
6.3.2.2. If necessary, the mass shall be reduced from that specified in Criterion 6.3.2.1 to
ensure that the total thermal power of the contained materials will not exceed 19
watts at any time during the 50-year storage life.
6.3.2.3. Foreign objects shall be removed from the material prior to packaging.
6.3.2.4. The oxide sample taken for stabilization verification shall be representative of the
stabilized material to be sealed in the inner container at the time of packaging.
6.3.2.5. Contained materials shall not affect the required performance of the inner or outer
container.
6.3.2.6. Only similar materials should be combined in an inner container or convenience
container and packaged for storage.
6.3.2.7. Oxide materials packaged to this Standard shall be represented in the Materials
Identification and Surveillance Program.
6.4. Storage - Integrated Surveillance and Monitoring Program
Periodic surveillance of 3013 containers is required throughout the storage period to
assure continued safe storage of the plutonium-bearing materials. An integrated,
complex-wide surveillance and monitoring program (ISMP) has been established and is
documented in reference AMNMS-15-0014.
DOE-STD-3013-2018
10
6.4.1. Roles of Materials Identification and Surveillance Working Group (MIS-WG) in the ISMP
The Materials Identification and Surveillance Working Group (MIS-WG) shall direct Shelf-
life testing, identify containers for surveillance, define examinations and analyses to be
performed, and evaluate the resultant data.
6.4.2. Changes to the ISMP
The MIS-WG may recommend changes to the ISMP as needed. Changes to the ISMP
shall be approved by the AMNMS.
Section 11
6.4.3. Roles of Packaging and Storage Sites in the ISMP
Sites packaging 3013 containers shall document all baseline data as required by the
ISMP. Sites storing 3013 containers shall assure that all baseline and surveillance data
are entered into the database (see section 6.5) and shall participate in the activities
defined by the ISMP. Additional sites may be added with the approval of the AMNMS.
6.5. Documentation
6.5.1. Database
An electronic database shall be maintained as a source of relevant information about
stored materials and 3013 containers. This database may consist of several files (which,
in themselves, may be databases), some of which may be classified. For completeness,
the database should be coordinated and generally compatible with the Material Control
and Accountability (MC&A) database(s).
6.5.2. Database content elements
6.5.2.1. The database shall include, as a minimum, available information on the following
material characteristics:
(a) Chemical and physical form;
(b) Best available isotopic distribution including all actinides, and the effective
date(s) of analysis;
(c) Quantity (mass) of material contents;
(d) Conditions of material stabilization verification, including test results (if a
qualified process has been used for stabilization and packaging, then this
entry shall be the mean and standard deviation obtained during qualification
testing and results from the three most recent materials measurements for
process control);
DOE-STD-3013-2018
11
(e) Source of stored material (e.g., site, facility and Material Balance Area (MBA)
that generated the material, and Item Description Code (IDC), if available;
(f) Specific stabilization conditions to include date, temperature, processing
duration and equipment used, and oxidizing atmosphere (and a notation that
a qualified process was used, if applicable); and
(g) Other information relative to the contents such as expected major impurities
with source of impurity data (e.g., process knowledge, destructive
examination, prompt gamma analysis, or X-ray fluorescence analysis).
6.5.2.2. The database shall include, as a minimum, identification of the following 3013
container characteristics:
(a) Nominal fill gas of each container on sealing (e.g., air, helium, or argon);
(b) Leak test data record for the outer and inner containers;
(c) 3013 container configuration - quantity and type of containers;
(d) Date of packaging for each container;
(e) Initial radiation field [gamma and neutron at contact and 300 mm (12 in.)],
including how it was measured;
(f) Baseline 3013 container gross weight, dimensions, and tare weight;
(g) The unique identification number associated with each container;
(h) The manufacturer lot identification number for each container;
(i) Baseline inspection for pressure indication (e.g., lid deflection) for oxide
containers; and
(j) Contamination measurements of the outer and inner containers.
6.5.2.3. The database shall include, as a minimum, the following records from surveillance
and inspections:
(a) Surveillance results, including analytical data;
(b) Records of tests performed;
(c) Dates of inspections; and
(d) Names of individuals performing inspections.
DOE-STD-3013-2018
12
6.6. Quality Assurance
Activities in accordance with this standard shall be performed in accordance with the
DOE-approved site/facility Quality Assurance Program (QAP). The site/facility processes
that implement the QAP shall ensure that applicable QA criteria for activities covered by
this standard are adequately addressed [DOE Order 414.1D, Chg 1].
Section 12
DOE-STD-3013-2018
A-1
APPENDIX A. TECHNICAL BASES FOR STABILIZATION, PACKAGING AND
STORAGE OF PLUTONIUM-BEARING MATERIALS
This appendix summarizes the technical bases for the criteria in the body of this
Standard. The section numbers in this appendix correspond to the section numbers in
the body of the Standard.
The intent of this appendix is to provide the logic underlying the technical bases, to
summarize the salient technical points and to provide guidance where applicable. The
reader is directed to the primary technical source information for the technical details.
A.1. SCOPE
This Standard establishes criteria for stabilization, packaging, and safe storage of
plutonium-bearing metal and oxides at DOE facilities. Storage containers that meet
these criteria should maintain their integrity (i.e., should not require repackaging) for a
minimum of 50 years.
This Standard applies to plutonium-bearing oxides and metals containing at least 30
wt% plutonium plus uranium. It may be used for metallic weapons components,
including those that are classified, but it is not intended for intact weapon components,
including pits. The scope of DOE-STD-3013-96 [USDOE 1996] was limited to materials
containing at least 50 wt% plutonium. Information developed since the issuance of that
standard demonstrates that a broader range of oxide materials, including those with
lower plutonium assays, stabilized in accordance with the criteria of this Standard, can
be packaged and stored safely. Stabilization data gathered from the Materials
Identification and Surveillance (MIS) program and other information sources for oxide
materials is considered adequately robust to support selection of 30 wt% plutonium plus
uranium as the lower cutoff for this Standard.
Regarding the uranium content, and the implied equivalence of uranium for plutonium, a
report [Haschke et al., 1997] assessed the inclusion of mixed plutonium-uranium oxides
containing less than 50 wt% plutonium in materials covered by DOE-STD-3013-96.
Issues addressed included thermal stabilization, specific surface areas, moisture re-
adsorption behavior, loss-on-ignition (LOI) analysis, and criticality safety of the oxide.
While some differences in chemical behavior are expected (especially under oxidizing
conditions at elevated temperature), the report suggests that “substitution of uranium
oxide for plutonium oxide does not detrimentally alter the thermal stabilization behavior
or long-term storage behavior of those oxides.” The authors specifically concluded that
the risk of dispersing plutonium-containing particles should not be altered appreciably in
mixed oxides.
DOE-STD-3013-2018
A-2
Depleted, normal, and
enriched uranium have
much lower specific
activity than plutonium.
Therefore, direct
radiolytic and thermal
reactions in storage
containers of high-
uranium materials are
expected to be strongly
diminished or negligible
compared to containers
containing appreciable
plutonium. The
suitability of mixed
oxides for long-term
storage is underpinned
by extensive
experience with
plutonium-uranium
mixed oxide (MOX) fuel
in the commercial
nuclear power sector.
This Standard does not
apply to material
destined for disposal as
TRU Waste.
This Standard does not
restrict the isotopic
composition of
plutonium, but relies
instead on the 19-watt
thermal power limit to
cap the content of
short half-life
radionuclides. The 19-
watt limit restricts the
238Pu content to
approximately 33
grams and the 241Am
Section 13
THE MIS PROGRAM
The Materials Identification and Surveillance (MIS) Program has characterized
an extensive selection of oxide items that are believed to reasonably
represent the behavior of the currently identified 3013 oxide material in
storage for 50 years. These items are considered part of the MIS inventory.
Plutonium metal is not considered in the MIS Program. Metals are generally
considered “easy” to store in hermetically sealed containers, provided
pyrophoric constituents are minimized and the storage atmosphere is
relatively inert. Plutonium oxide is potentially more complex than metal, but
its behavior is reasonably well understood with a few exceptions. The oxide
materials of greatest concern are those that contain chloride salt impurities
(NaCl, KCl, CaCl2, and MgCl2). Other common impurities include oxides and
other compounds of calcium, magnesium, iron, and nickel. The stabilization
process removes a fraction of the chlorides, volatilizing some and converting
some to oxides. In general it also converts the other metal compounds to
oxides.
The oxide materials are predominantly plutonium, but some, including the
fuels materials, are mostly uranium. Most of the plutonium has a weapons
grade isotopic composition, containing approximately 6% 240Pu. However,
some materials have significantly higher concentrations of 240Pu, the higher
plutonium isotopes, and americium.
The oxides that represent stored 3013 materials are characterized for
chemical and physical attributes in the MIS Program. If an item is determined
to be unique from characterization data, then the material is examined in
storage conditions and placed in instrumented container as part of the shelf-
life inventory. The purpose of the shelf-life program is to provide an early
warning of storage behavior that could result in container failures in storage
facilities. In addition to the materials that are provided by the sites, the MIS
Program is including in the shelf-life studies materials that have
characteristics that push the limits of the standard to understand the
sensitivity of the standard limits to actual phenomena associated with storage
container failure.
The performance of materials in storage environments is impacted by
moisture content as well as the presence of impurities, their concentration
(for some impurities) and their chemical form. Therefore, the most rigorous
representation is accomplished by having samples of the major process
streams in the MIS inventory. If sites identify process streams that are not
yet in the MIS inventory, a sample from that stream may need to be added to
the inventory if the behavior of the material could be different from what has
already been tested.
DOE-STD-3013-2018
A-3
content to approximately 165 grams, assuming in each case that no other significant
heat generating species are present. Sealed sources and irradiated fuels are excluded
from the scope of this Standard, as are unstabilized forms such as solutions.
Fifty years was selected as a reasonable upper limit to the time that material might have
to be stored. This is not to imply that the containers may fail after 50 years, but
evaluation of surveillance results will be needed to extend the approved life beyond 50
years.
Section 14
Chloride impurities in oxides are of concern because of the possibility of internal
corrosion if significant moisture is also present. The Standard addresses this risk by
mandating limits on moisture content and on relative humidity (RH) of the atmosphere
in which the material is handled between stabilization and sealing of the inner container.
This approach is taken because there are clearer technical bases and technical means
for achieving specific moisture limits than there are for setting specific limits on chlorine
content. Restricting RH precludes forming significant corrosion sites through formation
of liquid droplets inside the container after it is sealed. Restricting the total moisture
limits both gas generation and corrosion potential.
A.2. PURPOSE
This Standard supersedes DOE-STD-3013-2012 [USDOE 2012]. Information developed
since issuance of that Standard has led to changes that improve the assurance of safety,
and/or improve practical aspects of stabilization, packaging and storage without
compromising safety. Among those changes are the following in the criteria section
(note that the stabilization process, the stability criterion and the container are
unchanged from DOE-STD-3013-2012):
• The RH limit after thermal stabilization was clarified to indicate that it applies
only when chloride salts may be present in the material.
• Use of convenience containers is required when packaging plutonium-bearing
oxides.
• Free Gas Volume limit was deleted based on improved understanding of gas
generation, documented in Appendix B.
• All packaging and storage sites are required to participate in the Integrated
Surveillance and Monitoring Program (ISMP). The mechanism and approval
process for revisions of the ISMP are specified. Criteria for site specific
surveillance programs are removed.
• Several criteria are moved to different sections of the Standard for clarification.
Changes in the technical basis section include the following:
• Updated results and implications from the surveillance studies on storage
behavior on representative oxide materials covering the full range of actinide
DOE-STD-3013-2018
A-4
content and bounding moisture conditions specified in the scope statement.
These studies and destructive examinations have provided evidence that
corrosion events occur within the 3013 container and that they could be
controlled by the form and quantity of a deliquescent salt and the RH in the
container.
• A critical assumption in earlier versions of the Standard shows a pressurization
analysis where the reaction with plutonium dioxide fixes oxygen from adsorbed
water and leaves a hydrogen-rich atmosphere. The research supporting this
Standard has shown other gas producing reactions can occur. Overall, observed
products include hydrogen, oxygen, carbon dioxide, nitrous oxide and methane.
This work has also demonstrated that pressures are not observed to approach
the design pressure of the container and are more likely to be less than 100 psia.
A.3. APPLICABILITY
No further basis provided.
A.4. REFERENCES
No further basis provided.
A.5. ACRONYMS AND DEFINITIONS
AMNMS Assistant Manager for Nuclear Materials Stabilization,
Savannah River Operations Office
ARIES Advanced Recovery and Integrated Extraction System
DDT Deflagration to Detonation Transition
DE Destructive examination
DOE U.S. Department of Energy
DRH Deliquescence relative humidity
IR Infrared (spectroscopy)
ISMP Integrated Surveillance and Monitoring Program
Section 15
LANL Los Alamos National Laboratory
LLNL Lawrence Livermore National Laboratory
LOI Loss on Ignition
DOE-STD-3013-2018
A-5
MIS Materials Identification and Surveillance
MIS-WG Materials Identification and Surveillance Working Group
MOX Plutonium-Uranium Mixed Oxide
MS Mass spectrometry
NDE Nondestructive examination
QA Quality Assurance
RFETS Rocky Flats Environmental Technology Site
RH Relative Humidity
SCC Stress Corrosion Cracking
SNM Special Nuclear Material
SRS Savannah River Site
TGA Thermogravimetric Analysis
TRU Transuranic
A.6. STABILIZATION, PACKAGING, AND STORAGE CRITERIA
When measured values are compared with the following criteria in this Standard,
measurement uncertainty must be included to provide confidence that these criteria are
met. See Standard Section 6.0.
A.6.1. Stabilized Materials
A.6.1.1. Plutonium-Bearing Metals and Alloys
A.6.1.1.1. The ignition temperatures of plutonium metal and alloys are lowered as their
specific surface area increases. Limiting the specific surface area of plutonium metal
materials therefore reduces the potential for energetic events when such materials
are handled, (e.g., when storage containers are opened). Thickness and surface
area criteria are specified in the Assessment Report [USDOE 1994a], the Plutonium
Handbook [ANS 1980], DOE-STD-3013-96 [USDOE 1996] and other relevant
publications [e.g., Haschke/Martz 1998] as a minimum thickness of 1.0 mm (0.04
in.) and a specific surface area less than 1 cm2/g (71 in2/lb). However, a limit on
DOE-STD-3013-2018
A-6
specific surface area is difficult to administer, so one based on weight is used
instead. Los Alamos National Laboratory (LANL) evaluated a variety of regular
geometric shapes to determine the relationship between limiting specific surface
area conditions and piece weight [Haschke et al., 1996]. They determined that
pieces approaching the limiting specific surface area generally weighed less than 1
g. Establishing the limit at 50 g provides a margin to account for limited
irregularities in shape and other uncertainties. For some materials weighing less
than 50 g, oxidation may be an unattractive option. An example would be bonded
Pu-Be pieces, which, if oxidized, would create material with very high neutron rates.
If pieces less than 50 g are to be packaged, calculations must be performed for
each material type and appropriate physical measurements made on each piece to
verify compliance with the specific surface area limit. Not allowing pieces less than
10 g to be packaged when using the specific area criteria maintains a factor of 10
margin above the 1 g value discussed above. Foils, turnings, and wires do not
conform to the shapes evaluated and can easily have much higher specific surface
areas. For this reason, they are excluded from the Standard. Materials rejected
under this criterion should be converted to stable oxide powder.
A.6.1.1.2. Sub-stoichiometric plutonium oxides, formed by partial oxidation of plutonium
metal, can be pyrophoric [e.g., see USDOE 1994a, Haschke/Martz 1998]. The
pyrophoricity hazard is mitigated by brushing easily removable oxide from
plutonium metal prior to packaging the metal. The loose oxides generated by
brushing should be stabilized according to this Standard. Oxide removal should not
be so aggressive that the adherent oxide layer on the metal surface is removed.
This layer is beneficial because it retards further metal oxidation and interdiffusion
of metal constituents between the container and stored material [Haschke/Martz
1998, Williamson 1999].
Section 16
Various reports describe the radiolytic effects of plutonium metal on organic
materials such as plastics and oils which lead to corrosion of the plutonium and
creation of potentially pyrophoric hydrides [e.g., see USDOE 1994a, Haschke/Martz
1998]. Also, reaction of plutonium metal with water and air can lead to highly
reactive hydrides and nitrides under some circumstances [ANS 1980, Haschke/Martz
1998]. Since plutonium metal allowed by this Standard has low specific surface area
(see Criterion 6.1.1.1 for details) and is therefore easily examined, visual inspection
for free water and organic materials with the unaided eye is sufficient to assure that
unsafe quantities of hydrides and nitrides cannot form by this mechanism during
storage.
A.6.1.1.3. Since plutonium turnings pressed into briquettes cannot be examined to determine
that they meet the requirements of Criteria 6.1.1.1 and 6.1.1.2, they are not
acceptable for storage in 3013 containers. They should be converted to stable oxide
powder.
DOE-STD-3013-2018
A-7
A.6.1.2. Oxides
A.6.1.2.1. This Standard requires thermal stabilization of oxide material by heating in an
oxidizing atmosphere to at least 950 °C for at least two hours and subsequently
verifying that the moisture content is less than 0.5 wt% at packaging. Thermal
stabilization to these conditions has been shown to produce oxide that meets
several stabilization objectives:
(a) Reduce the water content to less than 0.5 wt% and similarly reduce
equivalent quantities of species such as hydrates and hydroxides that might
produce water.
Water in oxide material can exist as physically adsorbed water on the
surfaces of particles, as waters of hydration associated with mostly chloride
salts, and as dissociated water, i.e. hydroxides, on the surfaces of metal
oxides. The thermal desorption profiles of each of these types of water are
different, but all reach completion well below the required 950 °C peak
temperature of the stabilization process.
Physically adsorbed water has been shown to desorb from PuO2 over a
temperature range of 100 to 200 °C in a closed system where the vapor
remains in contact with the solid [Paffett et al., 2003]. Thermal stabilization
operations under this Standard are configured to allow water vapor to escape
and so will desorb water from oxide at lower temperatures than a closed
system, but the closed system data represents a good bounding case.
Thermal stabilization in an oxidizing atmosphere will convert most metal
impurities to oxides (e.g., Fe2O3, Cr2O3, and Ga2O3). Adsorption and thermal
volatilization of water on these metal oxide particles is expected to be
qualitatively similar to moisture interactions with plutonium oxide
[Henrich/Cox 1996].
Plutonium oxide powder forms surface hydroxides upon exposure to moisture
[Blesa et al., 1994; Farr et al., 2004]. Decomposition of the surface
hydroxides of plutonium oxide under vacuum has been seen to begin at
100 °C and to be nearly complete by 590 °C [Farr et al., 2004].
Thermogravimetric data from samples of material heated under ambient
pressure show somewhat greater persistence of some hydroxides, with
around 0.01-0.02 mass% moisture not desorbed until the 700-950 °C range
[Scogin 2016]. These will be removed almost entirely by 950 °C stabilization,
and they are far below levels of concern for meeting the moisture content
requirement for storage. Many other metal oxides also form surface
hydroxides under a wide range of environmental conditions. Iron hydroxides,
chromium hydroxide, and nickel hydroxide are reported to decompose and
Section 17
DOE-STD-3013-2018
A-8
evolve water in the 200 to 525 °C range [Galwey/Brown 1999].
Residual magnesium chloride and calcium chloride (alkaline earth chlorides)
chemically bind substantial amounts of water as hydrates [Smith et al.,
1999]. Calcium chloride dehydrates on heating to less than 200 °C [Bukovec
et al., 1989]. Magnesium chloride first partially dehydrates and then
undergoes hydrolysis to the oxide upon heating to 500 °C. Thus, all water
associated with hydrated chloride salts will be lost by 500 °C.
Numerous thermogravimetric moisture measurements have been made on
samples from batches of thermally stabilized material during Hanford and
Rocky Flats packaging campaigns. These show that water is nearly all
removed before the temperature ramp reaches 680 °C [Berg et al., 2010]
[Scogin 2016]. Cases where material has failed to meet the moisture content
criterion have been attributable to moisture uptake after stabilization rather
than to failure of the stabilization to remove adequate moisture.
(b) Eliminate reactive materials such as finely divided metal or sub-stoichiometric
plutonium oxides that are reactive in air.
The issue addressed by this requirement is avoidance of energetic events, for
example, rapid oxidation of small metal pieces by air when storage containers
are opened (see Section A.6.1.1 of this Appendix regarding metal reactivity).
Other reactive metals or sub-stoichiometric oxides will behave similarly to
plutonium metal and will be converted to oxides with thermal stabilization
criteria specified in this Standard. The general plutonium technical literature,
as well as many decades of operating experience, firmly establishes that sub-
stoichiometric plutonium oxide and metal with particle size below the
thresholds defined in this Standard (50g as noted in A.6.1.1.1) are
completely converted to stable plutonium oxide by thermal stabilization at
950 °C in air for two hours [e.g., ANS 1980; Clark et al., 2008; Cleveland
1979].
(c) Eliminate organic materials.
The primary issue concerning the presence of organic materials (notably
plastics) in stored plutonium oxides is the potential for gas generation
(particularly hydrogen) as a result of radiolytic and thermal degradation. The
technical literature conclusively establishes that all plastics less than about
one inch in diameter and any other organic materials likely to accompany
unstabilized plutonium materials are completely oxidized by air in less than
five minutes at 800 °C [ACS 1995; Bockhorn et al., 1996;
Panagiotou/Levendis 1996; Wey/Chang 1995; Zevenhoven et al., 1997]. It is
DOE-STD-3013-2018
A-9
presumed that larger pieces will be removed by visual examination prior to
thermal stabilization (see Criterion 6.3.2.3), but the literature indicates that
even these will be destroyed by 950 °C thermal stabilization in air for two
hours.
(d) Minimize potential for water readsorption above the 0.5 wt% threshold.
Water can be re-incorporated after stabilization by physically adsorbing to the
surfaces, by formation of hydrates of principally chloride salts, and by
formation of hydroxides. Reducing the specific surface area limits the amount
of water that can be adsorbed onto the surfaces and formation of hydroxides
on the surface. MIS measurements on materials stabilized according to this
Standard, show that thermal stabilization at 950 °C for two hours generally
gives specific surface areas below 5 m2/gram for both pure and impure oxide
material [Haschke/Ricketts 1995; Haschke/Ricketts 1997; Haschke/Martz
1998; Mason et al., 1999; Machuron-Mandard/Madic 1996]. A hydroxide layer
(0.5 monolayers) covered with a monolayer of water on 5 m2/gram material
will result in 0.165 wt% adsorbed water (1.5 monolayers). High-purity oxide
of less than 5 m2/gram specific surface area lacks sufficient surface sites to
readsorb 0.5 wt% water even with very long exposure to atmospheres with
up to 50% RH.
Section 18
Sodium chloride and potassium chloride will not resorb significant water after
thermal stabilization unless subsequently exposed to an atmosphere
exceeding their deliquescent relative humidities, which are quite high (see
Table A-1). Alkaline earth chloride salts are more problematic because they
can form solid hydrates at much lower humidity, as low as 1-2%. Even small
amounts of alkaline earth chlorides when fully hydrated can hold sufficient
water to exceed the 0.5 wt% limit. For example, conversion of 0.5 wt% of
MgCl2 to its hexahydrate would add 0.5 wt% water to a batch of material.
Calcium chloride also readily forms hydrates at low RH. Alkaline earth
chlorides can deliquesce to form a corrosive aqueous salt solution at low to
moderate RH while still meeting the 0.5 wt% total moisture criterion, which is
addressed in more detail in Section A.6.1.2.4.
Thermal stabilization reduces the MgCl2 content by hydrolysis to form MgO,
and somewhat less effectively converts some calcium chloride to CaO
[Lawrence/Bu 2000]. However, the prescribed stabilization conditions do not
drive the hydrolysis to completion. Control of time and RH between thermal
stabilization and packaging can be used to limit moisture re-incorporation
when handling plutonium oxides containing magnesium and calcium chloride
impurities [Veirs et al., 2002].
DOE-STD-3013-2018
A-10
(e) Stabilize any other potential gas-producing constituents.
This Standard's thermal stabilization criterion (2 hrs at 950 °C) is intended to
ensure that in addition to moisture, all other potential gas-producing
impurities in plutonium-bearing oxide materials are eliminated. The technical
literature shows that nitrates and sulfates of plutonium are effectively
converted to oxides by thermal stabilization at 950 °C [Waterbury et al.,
1961]. All other nitrates and carbonates are expected to be decomposed by
this procedure. Sulfate is known to be incorporated into plutonium oxide
prepared by peroxide precipitation from sulfuric acid solutions [Leary et al.,
1959]. The report of Moseley and Wing [Moseley/Wing 1965] shows that
950 °C thermal stabilization is sufficient to destroy this sulfate constituent.
Literature searches indicate that deleterious amounts of radiolytic gases from
residual sulfate contaminants are unlikely in the long-term storage conditions
anticipated for stabilized materials [Tandon et al., 1999 and references
therein].
Stabilizing at 950 °C in an oxidizing atmosphere for at least two hours has been
shown to reliably meet all of the above stabilization objectives for a broad range of
materials. Cases have arisen, however, where those stabilization conditions have
been problematic for operational reasons. Item 5 in the Foreword to this Standard
outlines a process for evaluating and requesting approval for equivalent alternative
approaches to meeting stabilization objectives and criteria. The equivalency
determination process has been followed and granted for three specific cases thus
far:
• The major salt impurities in plutonium oxides from pyrochemical operations,
NaCl and KCl, have moderate volatilities above 800 °C and sublime from the
material to a significant degree during 950 °C stabilization. This result is
neither necessary to produce a stable storage product, nor is it desirable
because the salts deposit elsewhere in the stabilization equipment and cause
significant maintenance issues in furnaces and offgas systems. The DOE has
approved two submittals, one for the Rocky Flats Environmental Technology
Site (RFETS) and one for the Hanford Site, for lower temperature stabilization
as technically equivalent for specific chloride-containing materials [Boak et
al., 2002; Boak et al., 2003].
Section 19
• An equivalency employing a lower stabilization temperature for a longer time
(four hours) was approved for high-purity PuO2 produced by a specific
process in the HB-Line at the Savannah River Site (SRS). The request was
motivated by the determination that 950 °C stabilization of the HB-Line PuO2
would preclude its use in direct fuel fabrication and reduce its value
feedstock for other fuel fabrication processes. Studies showed with high
DOE-STD-3013-2018
A-11
confidence that the lower stabilization temperature would be sufficient to
reduce moisture content to acceptable levels, and that other stabilization
objectives would be assured to have been met by a combination of assured
product purity and post-stabilization handling and testing requirements
[Duffey et al., 2013; Berg et al., 2014a].
• An equivalency allowing a lower stabilization temperature for two hours was
approved for high-purity PuO2 produced from oxidizing specific feed material
in the LANL ARIES direct metal oxidation process [Duffey et al., 2013; Berg
et al., 2014a]. The motivation for the request was to improve the longevity,
reliability and throughput of process equipment. The technical evaluation
primarily addressed demonstrating that the stabilization objective of
eliminating any reactive finely divided metal would be achieved if oxidation in
the first stage of this two-stage process was incomplete.
A.6.1.2.2. The standard accepts two approaches to verification that materials have been
adequately stabilized: a) testing essentially every container loading (each container
would have a moisture measurement applicable to it, even if the measurement was
of a batch sufficient to fill several containers) or b) use of a “qualified process” for
stabilization and packaging that would reduce the requirements for materials
testing.
(a) Stabilization at 950 °C and appropriate handling prior to packaging ensure
that the only significant mechanism for container pressurization is
decomposition of readsorbed water into hydrogen gas, and that mechanism
cannot produce sufficient gas to exceed the design pressure of the container.
Thus, verification of adequate stabilization requires only a moisture
measurement to ensure that residual moisture in the packaged material is
below the threshold specified in Criterion 6.1.2.3.
This Standard encourages using one or more of the moisture verification
methods that have been employed successfully in past stabilization and
packaging campaigns. These methods are all based on heating a sample of
stabilized material to 1000 °C and measuring the volatilized moisture. The
LOI test is accomplished by heating the sample to at least 1000 °C for at
least one hour and determining the resulting weight loss after the sample
cools. The LOI test is simple, inexpensive and highly practical in a glovebox
environment, but it has limitations in cases where mass changes can be
caused by processes other than volatilization of hydrogenous material
content. The LOI test cannot distinguish moisture from other components
that are volatile at temperatures below 1000 °C, so LOI tests on stabilized
material containing impurities such as NaCl and KCl will indicate higher
moisture content than is actually present. On the other hand, under-
DOE-STD-3013-2018
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Section 20
measurement of the moisture content could occur through the masking effect
of readsorption of moisture on the sample during the LOI cool-down period
prior to the final weight measurement. Mass gain due to air oxidation of
minor material phases during LOI would also lead to under-measurement of
moisture. Residual sub-stoichiometric oxides that may persist in material
from a metal oxidation process are one example. This Standard therefore
encourages use of LOI only for high purity plutonium oxide materials that
were not prepared by oxidation of metal, and only when the LOI analysis is
performed in a dry glovebox [Roberson 2001 and Roberson 2002b]. A
variation called Full-batch LOI was used during the packaging campaign at
Lawrence Livermore National Lab [Hall 2002]. This Standard encourages the
use of more moisture-specific alternative methods for lower grade materials.
Thermogravimetric analysis (TGA) to 1000 °C using an inert carrier gas has
been the preferred alternative during packaging campaigns at the Rocky
Flats, Hanford and Savannah River DOE Sites. Specific implementations were
approved with heating rates restricted to be no greater than 20 °C per
minute, and with an inert gas purge of high purity argon (≥99.999%) or
helium (≥99.995) [Roberson 2002a,c]. Use of an inert purge gas mitigates
against the potential masking effects of sample oxidation or moisture
readsorption during cool-down. While it does not directly prevent mistaking
other volatile components for moisture, experience has shown that the false
failure rate is acceptably low for most materials. Where necessary, mass
spectrometry (MS) or infrared absorption spectroscopy (IR) have been used
to analyze the evolved gas from the TGA unit to confirm false positives.
Heating rate and purge gas specifications were the same as for the TGA
implementations. MIS has concluded that TGA coupled with either MS or IR is
the preferred method for determining the moisture content of most
plutonium bearing materials. Using MS or IR to analyze the off-gas from the
TGA has the advantage of quantifying the amount of water that is driven off
during the TGA.
Each site has the flexibility to request authorization, with justification, for
moisture measurement methods of its selection. Inclusion of other
techniques requires independent evaluation and DOE approval consistent
with Item 5 of the Foreword.
(b) Qualification of the stabilization and packaging process would permit
materials to be stabilized and packaged without the requirement for
measuring the moisture content of every batch of material to be packaged
[Erickson et al., 2002].
DOE-STD-3013-2018
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The plan to qualify a process must be developed by the packaging site,
consistent with quality assurance requirements and practice at that site. The
plan must include the following information:
(1) specific materials to be stabilized and packaged;
(2) process parameters (times, temperatures, glovebox humidity, etc.)
that define the process being qualified;
(3) product testing program to demonstrate process stability and product
consistency;
(4) post-qualification materials testing needed to verify continued process
control;
(5) any changes to storage surveillance requirements needed to assess
storage safety; and
(6) actions (such as including the process parameters in the facility
Authorization Basis) required to “institutionalize” the qualified process.
If the materials to be packaged are to be stored at another site, it is
recommended that the storing site be consulted during development
of the qualification plan.
Section 21
Approval of a qualified process will be subject to a technical review of the
qualification plan and testing program by an independent technical review
team (see Item 5 of the Foreword). The review must include an assessment
of the plan and testing results by the storing site, if that site is different than
the packaging site.
A.6.1.2.3. The criterion of 0.5 wt% moisture provides a reasonable balance between the
difficulty of achieving and measuring lower moisture contents and the cost (of both
the container and any ancillary impact on storage facility size) of providing a
container that will withstand the pressure theoretically generated by a higher
moisture content. The correlation of the weight percent criterion with bounding
pressures in storage containers is established in Appendix B (Derivation of Pressure
Equation). It should be noted that adherence to this total moisture limit is not
sufficient to prevent corrosion in chloride salt bearing containers (see Section
A.6.1.2.4).
The 3013 Surveillance Program had performed over 230 nondestructive
examinations (NDE) and over 100 destructive examinations (DE) through the end of
2016 on a total population of approximately 5100 containers. The ages of the
containers examined range from 3 years to 14 years. All total internal pressures
DOE-STD-3013-2018
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observed in containers packaged in conformance with the requirements of this
Standard have been below 159 kPa (23 psia). One non-conforming package, having
a moisture measurement result 25% higher than the acceptance limit, was found to
contain just below 301 kPa (44 psia) total pressure. Gas analyses performed on the
DE containers have shown that none of the gas mixtures, including that in the non-
conforming container, have been flammable.
MIS gas generation studies with represented materials show that actual pressures
will be substantially below the bounding pressure. Each 3013 oxide container is
represented by one or more Materials Identification and Surveillance (MIS) items
that are believed to reasonably predict the behavior of the material in storage for 50
years [Narlesky et al., 2009a]. In small-scale surveillance studies, 10-gram samples
are packaged in test containers scaled 1:500 by volume to 3013 inner containers
with 0.5 wt% total moisture. Gases that have been observed within these tests
containers include hydrogen, helium (from the packaging atmosphere), oxygen,
carbon dioxide, nitrogen, carbon monoxide, nitrous oxide, and methane, in order of
abundance. A report discussing the carbon dioxide observations proposed that trace
carbonates surviving stabilization and CO2 adsorbed from air exposure after
stabilization were two possible source terms, but concluded these observations did
not indicate an additional pressurization risk [Berg et al., 2002]. In large-scale
surveillance studies, batches of up to 5 kg of material are studied in modified inner
3013 containers. The modifications include pressure and temperature sensors, and
the ability to extract gas samples for gas composition determinations. The studies
were started in January 2004 and are ongoing. Broad categories of material have
been found to exhibit common behaviors.
Section 22
High-purity oxides with greater than 85% total actinides, less than 200 ppm total
chloride and up to 0.5 wt% added water were monitored in both large-scale and
small-scale studies. At an initial water surface coverage of one monolayer, water
activity was observed to decrease on a time scale of days to weeks and no hydrogen
gas was observed. A reasonable hypothesis is that the surface-adsorbed water is
slowly consumed by formation of surface hydroxyls. At somewhat higher water
surface coverage, hydrogen is observed, but at a small fraction of the maximum
possible from total conversion of the initial water content present (approximately
0.1% of the maximum calculated using the aggregate pressure equation [23] in
Appendix B). After an initial hydrogen increase in the first month of about 2 kPa, the
hydrogen partial pressure is observed to decrease with time. Oxygen is consumed in
the presence of water vapor [Veirs 2008]. Carbon dioxide and nitrogen gas
generation is observed and attributed to desorption due to competition with water or
reaction of surface species with water [Veirs et al., 2008].
In all chloride salt containing materials studied by the MIS program at the bounding
condition of 0.5 wt% water, hydrogen gas is generated [Veirs/Berg 2008].
DOE-STD-3013-2018
A-15
Pyrochemical processing salts can contain alkaline earth chloride salts such as MgCl2
or CaCl2 that are not completely converted to oxide by thermal stabilization. The
alkaline earth chlorides can absorb moisture at low values of RH. The rate of
hydrogen generation decreases with time in all cases. The maximum predicted
hydrogen partial pressures from the fit are substantially below the hydrogen partial
pressures calculated using the aggregate pressure equation [25] in Appendix B,
falling between 0% and 25% of the calculated pressure. Other gases observed
include carbon dioxide, carbon monoxide, and methane, in order of decreasing
partial pressure. Carbon dioxide is produced first. As the hydrogen partial pressure
increases, carbon monoxide and then methane appear in a ratio of ~20:10:1. If
carbon dioxide is not produced, then carbon monoxide and methane do not appear.
In a few cases, nitrous oxide is observed at partial pressures of less than 3 kPa.
One MIS representative salt-bearing material reproducibly produced both hydrogen
and oxygen in near stoichiometric quantities when loaded with 0.5 wt% water in
shelf-life studies [Berg et al., 2007]. The gas mixture became flammable within a
couple of months. The hydrogen and oxygen partial pressures both began declining
after about one year. The decline is hypothesized as due to hydrogen and oxygen
recombination overtaking the rate of hydrogen and oxygen production [Foy/Joyce
2008]. A narrow range of material conditions has been identified for the production
of both hydrogen and oxygen [Berg et al., 2008]. Oxygen is only generated along
with hydrogen when the concentration ratio of the alkaline earth chlorides to water
gives an average of more than three waters of hydration and when the total water
content is also greater than 0.3 wt%. If the alkaline earth chloride content is greater
than 1 wt%, then the number of waters of hydration will be less than three at the
allowed maximum of 0.5 wt% total water content. If the alkaline earth chloride
content is low, then the water content must be kept below 0.3 wt% to ensure that
oxygen will not be generated along with hydrogen. If hydrogen and oxygen are
generated, they can persist as a flammable mixture for long periods of time, e.g.
greater than five years.
Section 23
The 3013 container system is robust and will withstand a deflagration or detonation
of hydrogen/oxygen atmospheres at the highest observed hydrogen and oxygen
partial pressures. Experimental studies show that a deflagration to detonation
transition (DDT) can occur in the confined geometries between the inner and outer
containers as well as in the headspace of the inner container and the convenience
container. Slightly less than 2000 µstrain was measured during DDT deliberately
initiated in testing on actual 3013 outer containers. The authors conclude that “DDT
of a stoichiometric hydrogen/oxygen mixture (and mixtures diluted with nitrogen and
helium) within the 3013 nested can containment system does not pose a threat to
structural integrity of the outer can at initial pressures up to 3.5 bar and
temperatures up to 150 °C” [Liang/Shepherd 2007 a, b, c].
DOE-STD-3013-2018
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Materials with salt impurities containing alkaline earth chlorides are those most likely
to reabsorb water after thermal stabilization. When they contain moisture, these
materials generate hydrogen and have the potential to also generate oxygen.
Because the alkaline earth chlorides can pick up moisture from very low humidity
atmospheres, the control of time and atmosphere between thermal stabilization and
packaging is strongly advised when handling plutonium oxides suspected to contain
more than trace levels of magnesium and calcium chloride impurities (see A.6.1.2.4
for discussion of the term “trace”).
Other materials studied in small-scale surveillance include materials from the
magnesium hydroxide precipitation process and materials with a high percentage of
fluorine. These materials are observed to generate hydrogen but at small partial
pressures, nearly an order of magnitude less than chloride salts.
A.6.1.2.4. Stress corrosion cracking (SCC) has been identified as being the greatest threat to
3013 container integrity [Kolman 2001; Lillard et al., 2009a,b]. Room temperature
SCC of 304L and 316L stainless steels is reported to occur when in contact with
aqueous solutions of the alkaline earth chlorides MgCl2 and CaCl2 commonly present
in plutonium processing salts [Shoji/Ohnaka 1989; Tani et al., 2009]. Room
temperature SCC of stressed 304L sample coupons in contact with plutonium oxide
with a small amount of CaCl2 and 0.5 wt% moisture has been observed in the MIS
program [Lillard et al., 2009a; Zapp et al., 2010; Zapp/Duffey 2008]. The moisture
content of the material in these tests is consistent with the formation of deliquesced
CaCl2.
The limitation on humidity exposure in this Standard is intended to prevent potential
formation of corrosion-enabling droplets of aqueous solution. Some materials may
contain hygroscopic chloride salts introduced by chemical processing, e.g.
electrorefining or direct oxide reduction, or from mixing with, contacting, or being
processed in the same equipment as materials known to contain chloride salts.
These salts are susceptible to post-stabilization moisture uptake from the handling
atmosphere prior to container closure. They can form liquids by absorbing water
from the atmosphere, a process known as deliquescence. The RH at which a
particular chloride salt deliquesces is a fundamental chemical property of the salt.
Section 24
Small amounts of deliquesced salts are difficult to detect in a batch of stabilized
material because the powder still can be free-flowing. The most obvious technical
approach to preventing deliquescence of chloride salts is to ensure no exposure to
RH above their deliquescence relative humidity (DRH). When that is not possible, the
amount of time that the material is exposed above the DRH can be limited. If the
approach is to limit the time, then a technical basis may be developed that justifies
the length of time and the RH allowed. Section 5 of the Foreword, fourth bullet
states that “Determination that a proposed alternative criterion or alternative
DOE-STD-3013-2018
A-17
approach to satisfying one or more criteria is technically equivalent, in terms of
safety, to the Standard Criteria” may be submitted, technically justified, and
approved by the DOE.
The DRH of the common plutonium processing salts has been studied in the MIS
program [Veirs et al., 2010]. The DRH for the pure salts is well known [Greenspan
1977]. At 25 °C the DRH levels for KCl, NaCl, and MgCl2 are 84%, 75%, and 33%,
respectively. The DRH for these pure materials decreases slightly with increasing
temperature. The RH at which calcium chloride forms a liquid is complicated by the
various hydrated phases that are stable near room temperature. At 25 °C, calcium
chloride can form the hexahydrate, which deliquesces at 29% RH. At 35 °C, calcium
chloride tetrahydrate deliquesces at 20% RH before the hexahydrate is formed. At
45 °C to 70 °C, calcium chloride dihydrate deliquesces at 17% RH [Kelly/Wexler
2005].
More complex, ternary salt phases are also expected to be important additional
constituents of material from many processes. Identification of the salt phases
produced when alkaline earth chlorides are thermally stabilized with NaCl and KCl
has been investigated. For magnesium chloride thermally stabilized with an equi-
molar mixture of NaCl and KCl, the phase that controls the DRH has been found to
be KMgCl3 or carnallite [Garcia et al., 2007]. This salt deliquesces around 57% RH at
room temperature. For calcium chloride thermally stabilized with an equi-molar
mixture of NaCl and KCl, the phase that controls the DRH has been found to be
KCaCl3 or chlorocalcite [Narlesky et al., 2009b]. Chlorocalcite deliquesces at 16% RH
at 25 °C and at 21% at 70 °C. The DRH values of known processing salts and a few
examples of other salts with low DRH are shown in Table A-1.
DOE-STD-3013-2018
A-18
Table A-1. Deliquescent RH of chloride salts used in pyroprocessing. DRH
values are at 25 °C unless otherwise indicated.
Compound DRH(%) Reference
KCl 84 Lide 2003 page 15-25
NH4Cl 79 Lide 2003 page 15-25
NaCl 75 Lide 2003 page 15-25
KMgCl3·6H2O 57 Lide 2003 page 15-25
MgCl2·6H2O 33 Lide 2003 page 15-25
CaCl2·6H2O 29 Lide 2003 page 15-25
MgCl2·6H2O (70 °C) 27 Joyce et al., 2010
KCaCl3 (70 °C) 21 Joyce et al., 2010
CaCl2·4H2O 20 Joyce et al., 2010
CaCl2·2H2O (70 °C) 17 Joyce et al., 2010
KCaCl3 16 Joyce et al., 2010
FeCl3 31 Apelblat/Korin 2002
FeCl2 55-59 McCafferty 1981
LiCl 12 Apelblat/Korin 2002
ZnCl2 10 Shoji/Ohnaka 1989
Limiting exposure during post-stabilization, pre-closure handling to below 15% RH
provides a comfortable margin to prevent deliquescence for material suspected to
contain alkaline earth chloride salts, which deliquesce at the lowest RH of chlorides
that would normally be considered credible. If an unusual chloride impurity is
suspected, special evaluation may be needed to establish appropriate handling
restrictions.
Section 25
Materials packaged to this standard frequently do not have quantitative chemical
impurity analyses. For this reason, handling of materials should be based on the
best available knowledge. If the material originated in a process expected to
introduce chloride impurities such as a pyrochemical salt process or a process that
uses chloride based chemical processing, this requirement applies. In addition, if
prompt gamma analysis indicates the presence of chlorine above background level
or if chemical impurity analyses show chlorides are present above trace levels, this
requirement applies. For the purpose of this standard, a conservative threshold for
trace level is defined as 200 parts per million where the container sets are fabricated
from 304 stainless steel or 1000 parts per million if all of the containers in the
container set are fabricated from 316 stainless steel. Levels below these thresholds
have been shown to be safe for stainless steel equipment in aqueous systems
[SSAS, 2001].
DOE-STD-3013-2018
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A.6.1.3. Engineered Materials
A.6.1.3.1. For purposes of this Standard, fabricated fuel made from metals or sintered oxide
fuels are considered to be stabilized and contained provided that the cladding has
retained its integrity. When there is assurance of cladding integrity, the stabilization
requirements of this Standard are deemed to have been satisfied.
A.6.1.3.2. Sintered oxide fuel pellets qualified for nuclear fuel are quite pure, have controlled
stoichiometry, and have been formed at more elevated temperatures than specified
in this Standard for stabilization. Consequently, unirradiated pellets need only meet
the moisture criterion in Criterion 6.1.2.3 to be considered “stabilized material” and
to be eligible for packaging. Pellet materials that do not meet that criterion should
be stabilized according to the provisions of Criterion 6.1.2.1 of this Standard.
A.6.1.4. Storage after Stabilization – Deferred Packaging
The stabilization step, together with verification of stabilization at that time, provides
certainty that the material was stable at a point in time. A high degree of confidence
that the material is still stable is provided by the observation that the container and
material appear unchanged and the moisture content remains acceptably low.
Evidence of change would include, for example, corrosion or substantial pitting of
the container, or significant discoloration of the contents. To provide assurance of
stability, verification of the moisture content is required, either by measurement, or
by some other defensible analysis. A deferred packaging which fails to satisfy the
Stabilization Acceptance Criterion must be re-stabilized and have its moisture content
verified, or it must be treated and verified in an alternative manner approved by
AMNMS.
As discussed above in A.6.1.2.4, oxides containing some chloride salts are capable of
becoming corrosive after stabilization if they subsequently absorb sufficient moisture
from a humid handling or storage atmosphere. Therefore, controls must be put in
place to limit such moisture absorption after stabilization.
A.6.2. 3013 Container
A.6.2.1. Container Design Concept
A.6.2.1.1. The design goals for the 3013 container are that it be maintenance free and
compatible with existing or planned qualified shipping packages without further
reprocessing or repackaging.
Section 26
A sealed container design, rather than a container design with a gas filter, was
selected for two reasons: 1) gas filters allow the entry of moist air which could
interact with salts and other impurities contained in the stored materials; and 2) if
DOE-STD-3013-2018
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the container were not always oriented properly, stored powder could plug the filters
and later “blow out” causing, at a minimum, a local spread of contamination.
A welded closure is preferred because it is believed to provide the best combination
of features such as design qualification test performance, ease of assembly under
production conditions in a glove box, container payload capacity, and achievement of
a 50-year life.
The convenience container is a container that is used to transfer plutonium-bearing
material. A convenience container is not considered an isolation barrier by this
Standard. Use of a convenience container is optional when packaging plutonium-
bearing metals or alloys, but is required when packaging plutonium-bearing oxides.
For oxides, a convenience container reduces the potential for contamination to be
transferred to the outer surface of the inner container prior to and during welding,
and reduces the risk of weld failure due to oxide incorporation. The convenience
container also provides a barrier protecting the inner container from direct contact
with potentially corrosive salts during storage.
A.6.2.1.2. These requirements simply provide functionality in the design.
A.6.2.1.3. Storage of plutonium-bearing material must comply with existing material control
and accountability (MC&A), safeguards and security, and audit and surveillance
directives which rely on nondestructive assays as a technique for validation. The
MC&A requirements call for routinely assaying stored materials for process,
accountability, and inventory controls. Plutonium packaging and storage should not
preclude adherence to these directives.
A.6.2.1.4. Pressure indication, such as a pressure deflectable lid or bellows observable by
radiography, will permit early detection of inner container pressurization prior to
potential failure. The pressure detection threshold [set at 790 kPa (100 psig) in this
Standard] balances the need to minimize “false positives” with the need to
eliminate “false negatives.” Pressure buildup in the container is expected to yield
internal pressures less than 790 kPa (100 psig). Additionally, there are no known
mechanisms for pressure buildup in containers holding plutonium metal
[Spearing/Crooks 2003]. An internal pressure indication of 790 kPa (100 psig) is
therefore adequately indicative of unexpected pressurization, yet far below the
design pressure for the outer container (Criterion 6.2.1.5 requires the design
pressure to be at least 4920 kPa, or 699 psig).
A.6.2.1.5. Specifying a minimum design pressure provides compatibility with the safety
envelopes for current and planned storage facilities. The specified design pressure
of 4920 kPa (699 psig) is sufficient to contain the pressure generated under the
highly conservative bounding assumptions originally used for the design. It thus
DOE-STD-3013-2018
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accommodates bounding storage conditions at most, if not all DOE facilities where
plutonium-bearing materials might be stored.
Section 27
A.6.2.1.6. Section 7, Pressure Safety, of Attachment 1 to DOE O 440.1B, requires that the
ASME code or an alternative design code equal or superior to the intent of the
ASME code be used for pressure vessels. Since the outer container qualifies as a
pressure vessel but cannot be hydrostatically tested when loaded because of its
contents, and the final weld is not performed by the manufacturer, it will not be
ASME stamped. However, there is precedence in the shipping container qualification
process for less than literal adherence to the code. In this Standard, the outer
container is designed to ASME requirements and the fabricator manufactures the
outer container according to code but does not stamp the outer container as
complying with the code. This approach should be used in application of this
Standard by designing and manufacturing the outer storage container to ASME
specifications (for example, ASME Boiler and Pressure Vessel Code VIII) with
exceptions documented to show safety equal to or superior to the intent of the
ASME code.
The container may be designated as “Safety Class” in Safety Analysis Reports or
other Authorization Basis documents because it provides primary containment.
It should be noted that designation of the outer container as a pressure vessel can
arise simply because of the need to contain the internal pressure generated by
radioactive decay and by operation at a temperature higher than that at which it was
filled and sealed. Beyond that, the outer container’s function as the primary
containment requires that it be able to contain the pressures that might conceivably
be generated by all credible processes.
Finally, it should be noted that the pressure estimates are considered to be highly
conservative bounding estimates. Current data indicate that it is unlikely that
container pressures will exceed 790 kPa (100 psig) under normal storage conditions
during a 50-year storage period [Duffey et al., 2010]. It should also be noted that
the container atmosphere may include appreciable percentages of hydrogen in the
total gas at the time of opening, and appropriate precautions should be taken.
A.6.2.2. Container Construction
A.6.2.2.1. Use of low-carbon stainless steels, such as 304L and 316L, is recommended for the
outer and inner container construction, with 316L being preferable to 304L because
of its greater corrosion resistance. Both materials are justified on the basis of
extensive experience in this and similar types of service. Stainless steels 301, 302,
and 303 are not recommended due to their relatively low concentrations of alloying
additions. The use of higher alloyed materials is probably beneficial to container
DOE-STD-3013-2018
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corrosion resistance, but given the less thorough analysis of these alloys in the
literature, it may be prudent to avoid their use at this time.
A report on corrosion [Kolman 2001] strongly recommends low carbon grades of
stainless steel to avoid sensitization to SCC. The report also notes the importance of
welding techniques that will not sensitize the steel to SCC.
A.6.2.2.2. The Assessment Reports [USDOE 1994a, USDOE 1994b] describe radiolytic effects
with plastics, hydrogenous compounds, and organic materials during storage of
plutonium-bearing materials. Prolonged plutonium storage necessitates exclusion of
such materials from sealed containers because radiolysis and thermolysis of organic
material can produce combustible and corrosive gases and increase pressure within
sealed containers. Radiation and heat also can potentially change the composition
of organic materials so that they no longer perform their intended packaging
function. Therefore, such materials should not be used in fabricating the inner or
outer containers.
Section 28
Elastomeric seals on food-pack cans have been used for storage of plutonium.
Although such containers have been used successfully with little or no significant
seal degradation, this Standard conservatively excludes them from use.
Organic materials may not be used as structural components, sealants or coatings of
any of the containers. It is understood that organic material may be used as an aid
during manufacture. For example, cutting oil is used during the machining of
stainless steel containers. After manufacture, the containers should be cleaned to
remove such residual oils.
A.6.2.2.3. The 3013 container is sized to fit into existing certified or currently proposed
shipping packages. This container design will minimize future handling and avoid
unnecessary additional personnel exposure, operational risk, and waste generation.
A.6.2.2.4. Identification markings are required on all storage containers to facilitate
maintenance of an inventory database and management of stored materials.
A.6.2.3. Container Testing Criteria
A.6.2.3.1. Design Qualification Testing. These testing criteria are to qualify the design of the
containers and not to be applied to loaded containers.
(a) The purpose of the 9-meter drop test of the entire 3013 container is to
ensure that a storage container accidentally dropped from the maximum
storage height would not release any material. The number of tests, the
number of samples per test, and the drop orientation of the samples are
specified in 49 CFR Section 178.603(a). The target for the drop tests is
DOE-STD-3013-2018
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defined in 49 CFR Section 178.603(d). The distance of the drop is measured
from the target to the lowest point on the sample container. The drop height
specified in the criterion is to be used instead of the heights indicated in 49
CFR Section 178.603(e). The simulated contents shall include the mass of
any convenience containers. The criterion for passing this test is that the
3013 container retain its function, (i.e., that it remain leak tight as defined by
ANSI N14.5 [ANSI 2014]).
(b) The purpose of the 1.3-meter drop test for the inner container is to ensure
that a loaded inner container being handled during packaging operations and
not yet sealed in an outer container would not release any material if
accidentally dropped from the maximum packaging height. The simulated
contents shall include the mass of any convenience containers.
(c) The hydrostatic proof test provides verification that the container will remain
leak tight under maximum design conditions, plus a safety margin.
A.6.2.3.2. Testing and Inspection Following Container Closure
(a) ANSI N14.5, Leakage Tests on Packages for Shipment, specifies that the
acceptable maximum leakage rate is 1 x 10-7 std cm3/sec of dry air at a
differential pressure of one atmosphere [ANSI 2014]. Full penetration weld
closures provide the highest integrity and longest life seals possible. Welds
eliminate gaskets, which may degrade and leak. Mechanical seals using bolts
or screwed connections are susceptible to wear, creep relaxation, seizure, or
other mechanical failure.
In the context of leak testing, the term “at time of closure” is used for two
purposes. First, since the fill gas (such as helium) is normally used as a tracer
gas for leak testing, the leak test must be performed soon enough after
welding to assure that the gas has not escaped through a possible leak path
to the point that the leak test is invalidated. Second, the term is used to
clarify that the standard requires an initial leak test, but does not require
subsequent leak tests during storage.
Section 29
(b) Flaws in initial packaging are expected to be detected by inspection, including
leak testing, of every 3013 container within 30 days of packaging. Ordinarily,
this inspection should be done immediately after closure, but allowing up to a
30-day delay reasonably accommodates operational considerations. (A
restriction to less than 30 days may be necessary for leak testing as
discussed in Section A.6.2.3.2.a) This initial inspection provides baseline
information on the leak rate of both welded containers (the inner container
should be inspected after it is closed and before sealing inside the outer
DOE-STD-3013-2018
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container, and the outer container inspected after it is closed). This initial
inspection and test may be part of the quality program for verifying 3013
container integrity.
(c) The requirement for initial pressure indication applies to oxides and not to
metals. Stored metals are not considered vulnerable to pressure generation
in storage and therefore do not need a baseline indication against which to
measure future pressure changes [Spearing/Crooks 2003]. Since pressure
inside the inner container may begin to change soon after closure, the
baseline non-destructive examination for pressure indication should be
performed as soon as possible after the inner container is sealed. This
examination may be done either before or after the inner container is welded
in the outer container. Allowing up to a maximum 30 days to complete the
measurement accommodates operational considerations. The time
requirement for initial baseline inspection for pressure indication, within 30
days of inner container closure, is intended to assure that a measurement is
made before any significant pressurization has had time to occur between
sealing and the measurement. The usual pressure indicator is inner container
lid distortion. The initial baseline inspection uses any sufficiently accurate
method to measure the lid position at a pressure that is assumed to be equal
to that under which the container was sealed. It is important that this be a
sufficiently accurate measurement that can be used to compare with a
radiographic measurement of the lid position in a future non-destructive
surveillance.
(d) The outer container will be placed in and moved through contamination-free
areas. It is important that the container not compromise the contamination-
free nature of those areas. Furthermore, the outer container, prior to filling
or loading, should still be capable of placement in, or transport through,
contamination-free areas.
The inner container is the innermost barrier to release of radioactive
materials. To ascertain that this barrier has been adequately established, the
container is tested to confirm that it is leaktight. Removable contamination
should be minimized as much as reasonably achievable, and should not
exceed 2000 dpm/100 cm2, which is the threshold between a “contamination
area” and a “high contamination area.”
In earlier versions of this Standard, there was a requirement that, at the time
of closure of the outer container, the exterior surface of the inner container
be contamination-free, as defined in Appendix D to 10 CFR 835. That
requirement has now been removed and replaced with the requirement
stated above. The reasons for the change are as follows:
DOE-STD-3013-2018
A-25
Section 30
• Once the outer container has been sealed, there is no way to
determine whether the inner is contaminated or not. On opening the
outer, the assumption must be made that the inner is contaminated.
Thus, an initially contamination-free inner container provides no
benefit after the outer is closed.
• Contamination levels up to 2000 dpm/100 cm2 do not pose a
significant health threat in this application.
• Contamination levels up to 2000 dpm/100 cm2 do not limit disposal of
the outer, which could become contaminated by contacting the inner,
as low-level waste.
A.6.3. Contents
A.6.3.1. Container Fill Gas
A.6.3.1.1. The stored material condition should not change significantly because of reactions
with the container atmosphere. A significant change would be one that increases
storage risks from the as-packaged condition. For example, packaging plutonium
metal in a container with an air atmosphere can cause a small amount of additional
oxidation of the metal, but will not increase the storage risks. If material
stabilization has to be repeated to mitigate such risk, there would be additional
handling and unnecessary worker radiation exposure.
A.6.3.1.2. The container atmosphere must not act to mask leak testing and must support leak
testing. This requirement can be met by using helium as a major component of the
fill gas if helium leak checking is to be used to test the containers.
A.6.3.2. Contained Materials
A.6.3.2.1. The mass limit for fissionable materials is based on criticality safety limits for
plutonium. The subcritical mass limit given in ANSI/ANS-8.1 for pure 239Pu metal is
5.0 kg [ANSI/ANS-8.1 2014]. The 4.4 kg limit specified corresponds to the limit for
some shipping packages and allows a modest additional margin of safety. Note that
the mass limit applies to all fissionable species and not just 239Pu. This constraint
prevents potential criticality incidents involving stored fissionable materials (i.e.,
233U, 235U, 237Np, or higher plutonium isotopes) because the critical masses of
fissionable radioisotopes are greater than that of 239Pu [ANSI/ANS-8.15 2014;
Clayton 2010].
In terms of plutonium mass, 5.00 kg (11.02 lb.) of plutonium oxide is equivalent to
4.40 kg (9.70 lb.) of plutonium metal. The oxide weight limit refers to the total mass
of the plutonium-bearing materials present, not just to the plutonium oxide content.
DOE-STD-3013-2018
A-26
This constraint provides additional assurance of subcriticality by making the
conservative assumption that all the contents are pure plutonium dioxide. Mass limits
may be further limited by facility-specific considerations including administrative
criticality, radiation, and thermal power (heat output) constraints. Note that the
mass limit does not imply subcriticality of arrays and the normal, more facility-
specific analyses are required to demonstrate criticality safety in storage and
transportation.
For consistency, and through a similar reasoning process, the total mass of metal,
including alloying additions and other non-fissile species, is also limited to 5.0 kg
(11.02 lb.).
Finally, keeping the mass of the contents at or below 5.0 kg (11.02 lb.) ensures that
the safety envelope established through the container certification (drop testing)
program is maintained.
A.6.3.2.2. Total Thermal Power and Temperature-Dependent Effects in Plutonium Metal
(a) Total Thermal Power
Section 31
The thermal output is limited to assure compliance with limits at existing and
planned storage facilities as well as for possible future shipment off-site.
Because the mix of plutonium isotopes (and americium) will vary during
storage, the thermal power will vary also. The limit is applied to the
maximum thermal power over the storage period. A discussion of thermal
power in plutonium is found in Section B.4 of Appendix B.
The 19-watt limit also caps temperatures that may be reached under normal
and off-normal conditions. Calculations performed at the Savannah River Site
indicate that the temperature of the interface between the plutonium metal
and the stainless steel container will not exceed approximately 189 °C (372
°F) even when the container is placed in a 9975 transportation package,
exposed to diurnal solar heating and an ambient temperature of 37.8 °C (100
°F), provided the thermal power of the contents does not exceed 19 watts
[Hensel 1998b]. These calculations have also shown that the centerline
temperature of the plutonium metal will not exceed approximately 202 °C
(397 °F) under the same conditions. These and other results are given in
Table A-2. In evaluating temperature dependent phenomena in plutonium
metal, it was conservatively assumed that the plutonium and the plutonium-
steel interface were at 250 °C (482 °F), thereby providing considerable
margin to the calculated maximums [Williamson 1999].
A detailed model to more accurately predict thermal conductivity (k) in high-
purity plutonium oxide was developed in 2006 by using experimental data
DOE-STD-3013-2018
A-27
taken in support of MIS large scale shelf life studies [Bielenberg et al., 2006].
Contributions to the overall thermal conductivity from the container fill gas in
the pore phase were pressure dependent and the extent of solid to solid
particle conduction was determined. Using the more accurate and
experimentally determined values for thermal conductivity, the predicted
peak centerline oxide temperatures were about 50 ºC lower than those
predicted by Hensel for similar thermal power and the same 3013/9975
configuration, for example 227 ºC versus 275 ºC for the peak oxide
temperature during conditions of transport in a 9975 as shown earlier in
Table A-2.
Table A-2. Calculated temperatures (°C) in a 9975 package
Storage
19 W
Transport
19 W
Storage
30 W
Location Oxide Metal Oxide Metal Oxide
Top 93.9 77.8 142 126 120.6
Bottom 91.7 86.7 140 134 117.2
Side 98.9 85.6 147 133 128.3
Pu/Can 148.9 189
Pu Peak 229.4 165 275 202 331.7
Average Gas 164 211 230
From Hensel 1998a, 1998b. Average gas temperature estimated as midway between
Pu Peak and Side temperatures. Calculations assumed a 37.8 °C ambient temperature
and temperatures under “Transport” are peak temperatures when exposed to diurnal
solar radiation. “Top,” “Bottom” and “Side” refer to locations on the outer container,
and “Side” is at the middle height of the contents.
Additional thermal modeling of the 3013/9975 storage configuration was
performed in 2007 for Rocky Flats and Hanford storage configurations [Gupta
2007]. Fill gas was assumed to be 75% He and 25% air by volume. Various
oxide densities and resultant fill height and thermal power were modeled at
4.7, 10, and 19 watts. A wider range of ambient temperatures was
evaluated. Results were generally less than previous thermal models. The
study also concluded that uncertainty in thermal conductivity of the powder
had only a very small effect on the average gas temperatures in the
containers.
Section 32
Comparative results from all three models are presented in Table A-3.
DOE-STD-3013-2018
A-28
Table A-3. Comparative models for oxide at 19 watts calculated temperatures
(ºC)
Hensela Bielenbergb Guptac
Location Storage in
9975
Transport
in 9975
Transport in
9975
Storage
in bare
3013
Storage
in 9975
Ambient T 37.8 37.8 37.8 33.1 33.1
Top 93.9 142 53 110
Bottom 91.7 140 73 114
Side 98.9 147 147 69 121
Peak Oxide
(centerline) 229.4 275 227 110 160
Average Gasd 164 211 79 129
Assumed k
(watt/m-K) 0.079 0.15 0.45
a. Hensel 1998a, Hensel 1998b
b. Bielenberg et al., 2006
c. Gupta 2007
d. Average gas temperature estimated as midway between Pu Peak and
Side temperatures.
Potential metal storage issues related to metal temperature include 1) volume changes
associated with plutonium metal phase transitions and 2) metallurgical interactions
between plutonium metal and the container walls. These two issues are discussed
below.
(b) Plutonium metal phase changes
The alpha to beta phase transition of plutonium metal, which occurs near
119 °C, is accompanied by a 10% volume increase [ANS 1980;
Flanders/Krishnan 1999; Spearing et al., 1999; Spearing/Veirs 1999;]. This
volume change typically is not fully recovered when the metal is returned to
the alpha phase by cooling below the transition temperature. Concern that
cycling of alpha plutonium metal through the alpha-beta phase transition
could cause enough radial growth in the contained metal to damage or
breach the container led to experiments to address this issue [Flamm 1997;
Spearing et al., 1999; Spearing/Veirs 1999]. A peer review of these
experiments concluded that “the only potential failure mode that we could
anticipate is one of fatigue resulting from repeated cycles” [Hecker/Stevens
1999]. Experimentally, it is observed that plutonium volume expansion occurs
anisotropically in a cylinder with more expansion in the axial direction than in
the radial direction. Also, the fraction of expansion occurring in the axial
direction increases as the strength of the can increases. The peer review
DOE-STD-3013-2018
A-29
concluded that cycling through the beta-gamma transition alone near 185 °C
would be less demanding on the container than the alpha-beta transition
cycling because 1) the volume change is significantly less for this transition
and 2) the strength of stainless steel decreases more slowly with
temperature than the strength of plutonium. Finite element analysis using the
alpha-beta transition experiment data evaluated the fatigue loading on the
storage containers and showed that the storage containers meet the
requirements of the ASME Boiler and Pressure Vessel Code, Section VIII,
Division 2 [Flanders/Krishnan 1999]. Confirmatory tests and analyses at the
beta-gamma transition have reinforced the Flanders/Krishnan conclusions
[Spearing et al., 2001].
(c) Metallurgical interactions
Maximum plutonium-container interface temperatures up to approximately
189 °C (see “Pu/Can” row in Table A-2) have been postulated for plutonium
metal storage containers under bounding conditions. The potential for
forming low-melting eutectics has been evaluated based on the available
phase diagram data, diffusion data, and effect of surface oxides [Williamson
1999]. This study concluded that the storage of Pu metal and Pu-Ga alloys in
stainless steel containers will not lead to the formation of liquids, or result in
direct release of plutonium by means of diffusion mechanisms, as a result of
storage at temperatures up to 250 °C. The lowest melting liquid system
identified in this study (about 400 °C) results from the addition of small
amounts of Ga (~1 wt%) to a two-phase Pu-Pu6Fe mixture. The margin of
about 150 °C between the melt temperature and the conservatively assumed
metal storage temperature of 250 °C is judged to be adequately safe.
Section 33
However, while directly applicable data are limited, this study could not
categorically exclude the possibility of reduction of inner storage container
mechanical strength due to Fe diffusion into Pu. If a 250 °C theoretical
storage condition extended for a long time period (10 years or more) and the
plutonium metal intimately contacts the container, the wall thickness of the
container could be reduced. However, these analyses were very conservative
in not taking credit for protective oxide films and the small surface area of
metal-metal contact that will occur in practice. In addition, problems of this
type have not been observed in numerous applications involving direct
plutonium-stainless steel interactions, including stainless steel clad nuclear
fuels [Louthan 1998]. Failure of inner welded cans by this mechanism
therefore appears to be highly unlikely.
A.6.3.2.3. Some oxide to be packaged may include foreign objects such as metal items and
processing debris. These materials should be removed from the oxide prior to
DOE-STD-3013-2018
A-30
packaging. Items may be removed manually or by screening the powder, and can
be removed either before or after stabilization.
A.6.3.2.4. Because the oxide (including contained impurities) can absorb water from the
handling atmosphere, care must be exercised to ensure that the sample taken for
moisture analysis be representative, at the time of its analysis, of the material
actually packaged into the 3013 container. This can be done, for example, by
controlling the glovebox RH and/or packaging within a very few minutes of
sampling.
A.6.3.2.5. This Standard prohibits packaging materials that may adversely affect the integrity
of the containment system. The primary corrosion mechanisms of interest are
pitting and SCC.
General corrosion is not a credible failure mechanism because the quantity of
oxidizer (oxygen or water) available to react with the thick-walled containers is too
limited to be significant. The initial amount of gas phase oxygen present if an air
atmosphere was present during packaging plus the maximum oxygen that could be
produced from catalytic or radiolytic decomposition of water would not be sufficient
for general corrosion to affect the 3013 container integrity [Kolman 2001].
Kolman’s paper also discusses a number of other potential container failure
mechanisms. Hydrogen embrittlement is not anticipated to be an issue if, as
expected, large hydrogen pressures (well above that predicted by the pressure
equation) do not develop in the containers. Ionizing radiation at the anticipated flux
levels is not expected to alter container material properties enough to increase the
susceptibility to corrosion. Preliminary accelerated corrosion susceptibility tests of
stainless steel weld specimens support this conclusion. Kolman’s paper states that it
is critical that welding practices do not result in sensitization of the stainless steel
container. To avoid sensitization, the use of low carbon grades of stainless steel is
strongly recommended, as is the use of weld filler material. Moreover, the use of
stress-relieved container materials is strongly recommended [Kolman 2001].
Likewise, it is concluded that gallium embrittlement is unlikely to be a significant
issue [Kolman et al., 2004; Kolman/Chavarria, 2004].
Section 34
Unlike general corrosion, pitting and SCC are not mass limited. While SCC is a
definite issue for stainless steel in the presence of deliquesced chloride salts, SCC is
not a concern if water activities (relative humidities) within the storage containers
are too low for an aqueous liquid phase to form and persist. The stabilization and
packaging criteria of this version of the Standard provides confidence that aqueous
phases will not be formed within containers packaged. Salt-bearing materials
packaged under atmospheric conditions of greater than 16% RH, as allowed in
DOE-STD-3013-2018
A-31
earlier versions of this standard, have the potential for localized liquids from
deliquesced salts.
Stress Corrosion Cracking (SSC) has been observed at room temperature in shelf-life
studies in which 304L test specimens were placed contact with PuO2 powder with 0.9
wt% NaCl, 0.9 wt% KCl, 0.3 wt% CaCl2 and 0.5 wt% water, respectively
[Mickalonis/Duffey 2012; Zapp/Duffey 2008;]. The consensus opinion of MIS and
corrosion experts is that the multiple, nested, robust design of the 3013 container
system will prevent failure during storage, even if the unlikely conditions (salt
composition, water content, internal humidity) are found to occur [Roberson 2008;
Worl et al., 2008]. Nonetheless, an MIS-recommended corrosion study is addressing
the potential for SCC, and ongoing destructive examination of random and select
containers is necessary to provide sufficient long-term assurance of no container
failures [Berg et al., 2014b; Zapp/Duffey 2008].
A.6.3.2.6. To promote material homogeneity for facilitating MC&A measurements and to
preserve characterization information to the greatest extent possible, only similar
materials (comparable in form and composition, for example) should be packaged
together.
A.6.3.2.7. The performance of materials in storage environments is impacted by the presence
of impurities, their concentration (for some impurities) and their chemical form.
Therefore, the most rigorous representation is accomplished by having samples of
the major process streams in the MIS inventory [AMNMS 2015; Narlesky et al.,
2009a] (see MIS Program description A.1 Sidebar). If sites identify process streams
that are not yet in the MIS inventory, a sample from that stream may need to be
added to the inventory if the behavior of the material could be different from what
has already been tested. Prediction of material storage behavior over time is
dependent on extensive observations conducted on representative materials within
the MIS program. Therefore, it is crucial that materials packaged to this Standard
be represented in the MIS Program.
A.6.4. Storage - Integrated Surveillance and Monitoring Program
Surveillance and monitoring of 3013 containers is necessary to assure that the
containers can be safely stored for up to 50 years. An effective surveillance program
balances the risks (both safety and cost) associated with performing the surveillance
examinations against the risks associated with container failures. A DOE complex-wide
integrated surveillance program was initiated in 2001 [ISP 2001]. The current program
is documented in AMNMS-15-0014. The program uses a combination of (1) Field
Surveillance, which non-destructively or destructively examines containers randomly
selected from the storage inventory plus containers selected by the MIS Working Group
(MIS-WG) based on its engineering judgment, and (2) Shelf-life testing where
DOE-STD-3013-2018
Section 35
A-32
representative and other materials are tested in an accelerated manner to evaluate
potential degradation mechanisms. Packaging of plutonium-bearing materials into 3013
containers began in 2001, Shelf-life testing began in 2001, and Field Surveillance began
in 2005.
A.6.4.1. Roles of Materials Identification and Surveillance Working Group (MIS-WG) in the
ISMP
The MIS-WG is a DOE multi-site technical working group that provides the oversight
and expertise needed to direct Shelf-life testing and Field Surveillance and evaluate
the results from the surveillance program. The MIS-WG includes representatives
from the plutonium storage sites and most of the plutonium packaging sites.
A.6.4.2. MIS-WG May Recommend Changes to the ISMP
Based on the results from the surveillance program, the MIS-WG may decide that
modifications to the program are needed. Any changes to the program must be
approved by the AMNMS.
A.6.4.3. Roles of Packaging and Storage Sites in the ISMP
A significant amount of information has been gathered from surveillance of the 3013
container storage inventory. Packaging sites have included Rocky Flats
Environmental Technology Site, Hanford, Lawrence Livermore National Laboratory,
Los Alamos National Laboratory, and Savannah River Site. Current storage sites for
3013 containers are the Savannah River Site and Los Alamos National Laboratory.
Sites storing 3013 containers shall participate in the activities defined by the ISMP.
Additional sites may be added with the approval of the AMNMS. If packaging and/or
storage begins at other sites, information on the materials must be provided to the
AMNMS for approval of inclusion in the ISMP. If sites temporarily store or stage
material for a different site, the programmatic owner of the material may be
designated to be responsible for some or all of the activities defined by the ISMP.
A.6.5. Documentation
A.6.5.1. Database
An electronic database is specified because a manual database would be overly
cumbersome. The architecture is not specified here to allow maximum flexibility to
interface with existing databases and files. Some data will be classified, partly
because Category I quantities of Special Nuclear Material (SNM) will be stored in the
storage facility.
DOE-STD-3013-2018
A-33
A.6.5.2. Database Content Elements
A.6.5.2.1. The material characteristics parameters in the database should provide as complete
a description of the contents as is possible without undertaking additional
characterization. The intent is to capture all available relevant information, and not
to require additional characterization beyond that which is already available.
Packaging sites are required to report verification analytical moisture results using
one of the methods specified in 6.1.2.2. However, some of those techniques are
known to have high biases as measures of moisture content. For example, when
using TGA to 1000 °C, the total observed mass loss is reported as moisture even
though that mass loss often includes significant other volatile components including
alkali chloride salts. More accurate assessment of moisture content can sometimes
be obtained by further analysis of the verification data to correct for known bias, for
example by excluding mass losses at high temperature where chloride salts become
volatile in the TGA, or by analyzing moisture-specific data on volatiles such as that
collected in TGA-MS or TGA-FTIR techniques.
Section 36
Such data and assessments are included in the database as well, when available, as
they may be useful for interpreting surveillance observations and predicting storage
behavior. For example, the analysis of storage gas generation in Appendix B makes
use of what has been judged to be the most accurate of the available analyses for
packaging moisture for each container. These are currently reported as “best
moisture” values for each container in the database, and are generally less
conservative than the stabilization verification values.
A.6.5.2.2. Container data can meet a number of needs. For example, if a 3013 container
exhibits unexpected behavior, these data can help identify other, similar containers
that may require inspection. These data also allow disposition processing to be
optimized.
The results of the baseline inspection for pressure indication at the time of container
closure are included in the database so that there is a basis for comparison to detect
pressurization at the time of later surveillance inspections.
A.6.5.2.3 No further basis is provided.
A.6.6. Quality Assurance
No further basis is provided.
DOE-STD-3013-2018
B-1
APPENDIX B. DERIVATION AND GUIDANCE ON USE OF THE PRESSURE
EQUATION
B.1. INTRODUCTION
This appendix provides a derivation of the equation used to calculate the maximum
expected internal pressure of storage containers loaded with plutonium oxide under
normal operations. It also provides guidance on use of the equation. The pressure
equation in this version of the 3013 Standard contains the same three terms as previous
versions of the 3013 Standard, but modifies the two terms relating to (1) the generation
of hydrogen gas and (2) the helium produced by alpha decay. The modifications are
multipliers for each term that decreases the amount of hydrogen and helium entering
the gas phase. The multiplier for hydrogen is derived from observations of the amount
of hydrogen gas formed by the decomposition of water in 3013 containers as measured
when they undergo destructive evaluation. The DE data is complimented by hydrogen
gas observations in shelf-life studies, which are described in Section A.6.1.2.3. The
multiplier for helium released into the gas phase comes from the literature. The values
of the multipliers are derived from empirical observations. SI units have been used.
This Standard addresses conditions during normal operations. The gas behavior within
the container during abnormal events is not evaluated. In particular, the temperature of
the material during a facility fire can far exceed temperatures during normal operations.
The water that has not formed hydrogen gas may still be present and can contribute to
pressurization under high-temperature conditions in a manner not captured by the
pressure equation. The helium will diffuse more rapidly at higher temperatures and
enter the gas phase at higher rates. Evaluations of the gas pressure within 3013
containers during off-normal conditions with high temperatures should consider using a
value of 1 for the hydrogen and helium multipliers.
Table B-1. Symbols and units
Symbol Units Description
P kPa Absolute Pressure
P0 kPa Initial pressure at time container is sealed
V L Volume in liters
n mol Amount of material in moles
R kPa L K-1 mol-1 Universal gas constant, 8.3145 kPa L K-1 mol-1
T K Average gas temperature
PF kPa Partial pressure of the fill gas
PH2 kPa Partial pressure of the generated hydrogen gases
PHe kPa Partial pressure of the helium produced by alpha decay
Vc L Unoccupied volume of the outer container
Vg L Volume of the outer container occupied by gas
Section 37
DOE-STD-3013-2018
B-2
Symbol Units Description
Vm L Volume of the contained material
Voc L Interior volume of the outer container
Vi L Volume of the material of the inner container
Vcc L Volume of the material of the convenience container
m kg Mass of material
ρ g cm-3 Particle density of material. Note, 1 g cm-3 is equivalent
to 1 kg L-1
ρbulk g cm-3 Bulk density of material
wx --- Mass fraction for component x.
ρx g cm-3 Crystal density of material component x
nx mol Amount of gas or material component x
T0 K Initial average temperature of the gas within the
container at the time the container is sealed
T1 K Average temperature of the gas within the container at
the time the container is evaluated
Mx kg mol-1 Atomic or molecular weight of gas or material
component x
N mol Amount of material
N0 mol Amount of material at time zero
t yr Time since container was sealed
λ yr-1 Decay constant
t½ yr Half-life of a radionuclide
Q W Total material thermal power
q W kg-1 Specific thermal power of material
E MeV/event Decay energy. Note 1 MeV/event = 9.649x1010 J mol-1
tpeak yr Time at which the material thermal power reaches a
maximum
ηH2 --- Fraction of water that decomposes to from hydrogen
gas
ηHe --- Fraction of helium from alpha decay that enters the gas
phase
It is assumed that the ideal gas law applies to the conditions and gases important to the
calculations. According to that law
PV = nRT [1]
DOE-STD-3013-2018
B-3
where P is absolute pressure, V is volume, T is absolute temperature, n is the number of
moles of gas, and R is the gas constant with units consistent with those chosen for P, V,
and T.
For ideal gases, the pressure of a mixture of gases can be determined as the sum of the
partial pressures of the individual gases. There are three gas sources that require
consideration in a plutonium storage container: 1) the container fill gas, 2) any gases
evolved during storage in the sealed container through radiolysis, chemical reactions, or
desorption, and 3) helium produced by alpha decay of the contained radioactive species.
The only evolved gas of significance anticipated during extended storage is hydrogen
from decomposition of adsorbed water. Thus, the combined effect can be expressed as:
P = PF + ηH2PH2 + ηHePHe [2]
where PF, PH2, and PHe are the maximum possible partial pressures of the fill gas, the
generated hydrogen, and decay helium, respectively and ηH2 and ηHe are empirical
values less than one that reduce the hydrogen and helium pressure from their
theoretical maximum values.
B.2. DERIVATION
B.2.1. Geometry Consideration
The outer container is the credited pressure vessel. The following discussion
conservatively assumes the inner container is breached and all gas spaces within the
outer container are at the same pressure. If the inner container remains intact, the
pressure on the outer container will be less than calculated here.
The volume occupied by the gas at the evaluation temperature, Vg, will be called the
“free gas volume” of the container. This volume can be calculated as the unoccupied
volume of the outer container (Vc) i.e., interior volume of the outer container (Voc) less
the volume occupied by the materials comprising internal containers (Vi and Vcc), less
the volume occupied by the contained material (Vm). These volumes, which are
illustrated in Figure B-1, can be represented as
Vg = Vc - Vm [3] and
Vc = Voc - Vi - Vcc [3a]
B.2.1.1. Containers
Section 38
Information on the currently used container designs is given in Table B-2. The inner and
convenience can volumes were determined from dimensions on technical drawings
DOE-STD-3013-2018
B-4
and/or can weights
when available. In
Table B-2, all volumes
are in liters. The outer
container unoccupied
volumes are obtained
using the minimum
outer container
volumes and the
maximum inner and
convenience container
material volumes.
Table B-2. Volumes associated with the container configurations that have
been used to date. All volumes are in liters.
Component RFETS Hanford SRS LLNL LANL ARIES
Outer
Container
Interior
Volume, Voc
2.608±0.012a 2.608±0.012a 2.608±0.012a 2.608±0.012a 2.608±0.012a 2.608±0.012a
Inner
Container
Material
Volume, vi
0.143±0.045a 0.216±0.015b 0.216±0.015b 0.143±0.045a 0.110±0.031d 0.110±0.031d
Convenience
Container
Material
Volume, vcc
0.218±0.022c 0.191±0.019c 0.106±0.011c 0.218±0.022c 0.022±0.002d 0.067±0.007d
Minimum
Unoccupied
Volume, Vc e
2.168 2.155 2.248 2.168 2.432
2.382
a. Volumes calculated from dimensions on technical drawings. Uncertainties based on specified
tolerances [Hackney 2007a].
b. Volumes calculated from dimensions on technical drawings. Uncertainties based on specified
tolerances [Hackney 2007b].
c. Volumes calculated from dimensions on technical drawings and verified using container
weight. Uncertainties based on specified tolerances [Arnold 2008].
d. Volumes calculated using the equations in [Hackney 2012], with input value ranges adjusted
to match the dimensional tolerances in the referenced drawings.
e. Minimum unoccupied volume is calculated from the nominal container volume values above
minus the sum of their uncertainties.
Figure B-1. Illustration of the components of free
gas volume.
DOE-STD-3013-2018
B-5
B.2.2. Material
A straightforward method to determine the volume occupied by the contained material is
the mass of material divided by the material density:
Vm = m/ρ [4]
The difficulty with this approach is that the density is most likely unknown. To facilitate
discussion, definitions of different types of density are provided:
• Bulk density: This is the mass of material divided by the volume that it occupies.
In the case of a powder, it is assumed to be the density achieved after the
powder has been poured into the container.
• Crystal density: This is the theoretical density of a crystal of the material in
question.
• Particle density: For purposes of this discussion, the particle density is the
average density of the individual particles of powder. This will be greater than
the bulk density because the interstitial gas spaces are not included in the
volume. It will be less than the crystal density because the particles will have
some porosity that cannot be accessed by the gas. A gas pycnometer measures
the average particle density.
The correct density to use in Equation [4] is the particle density. However, it is
extremely unlikely that the particle density of material will be known. Accordingly, a
method of estimating the particle density to be used in Equation [4] is described below.
B.2.2.1. The Material Composition Method for Determining Particle Density
This method can be used when the mass fractions of the actinides, water, and
impurities are known. Knowledge of these quantities is required for a package to be
compliant with the Standard. The density of the material can be estimated from
knowledge of the material composition and the crystal density of each constituent.
Actinide oxide crystal densities are well known. The remaining impurities of either
salts or oxides will have a range of densities that are estimated using a single value
of 2.5 g cm-3. The overall particle density of the material is given by:
Section 39
[5]
where w is the mass fraction of the component and ρ is the crystal density of that
fraction. [Friday et al., 2008]. The material composition method is used by the ISP
database. The calculated density is compared to material particle densities measured
DOE-STD-3013-2018
B-6
at SRS as part of the destructive examination program in Figure B-3. A conservative
calculated density with respect to determining the material volume would be less
than the measured density, i.e. lying below the line in Figure B-3. As seen in the
plot, most values are below the line. There are a number of reasons that calculated
densities may be below the measured densities, the primary one being that many of
the metal oxides have densities greater than 2.5 g cm-3. However, some of the
values in the plot are slightly above the line. This could be due to occluded voids in
the particles or uncertainties associated with the actinide measurements. Reducing
the calculated density in Equation [6] by 10% results in a conservative value for the
particle density for use in Equation [4].
Figure B-2. Comparison of calculated densities to measured particle densities
for SRS destructive examination of materials. The blue dots are
the calculated densities using Equation 6. The red x’s are 90% of
the calculated densities.
measured density (g cm-3)
4 5 6 7 8 9 10 11 12
ca
lc
ul
at
ed
d
en
si
ty
(g
c
m
-3
)
3
4
5
6
7
8
9
10
11
12
DOE-STD-3013-2018
B-7
B.2.2.2. The Material Packing Fraction
The packing fraction is especially useful for bounding calculations where both the
bulk density and the particle density are needed. Any powder poured into a
container has a bulk density less than the particle density for the material.
Measurements of particle density by gas pycnometer and comparison with bulk
density have shown that the packing fraction, which is the ratio of bulk density to
particle density, varies over a fairly wide range. A maximum value of the packing
fraction will ensure a minimum particle density for any given bulk density, and
therefore a minimum free gas volume and maximum pressure. Measurements of the
packing fraction for MIS represented material and from 3013 containers show that it
does not exceed 0.62 [Mason et al., 1999][. Figure B-4 shows the packing fraction
as a function of bulk density for materials from 3013 containers and MIS represented
materials. One approach to estimating the material volume of an unknown particle
density would be to determine the bulk density and divide by 0.62, realizing that the
true particle density can be no less than this value (a higher density value would
result in a smaller volume occupied by the particles and, hence, a lower theoretical
gas pressure).For instance, if 3.6 kg of oxide filled a 1.8 liter convenience container,
the bulk density would be 2.0 kg/L and the estimated particle density would be 2.0
kg/L / 0.62, or 3.226 kg/L, giving a material volume of 1.116 liters.
DOE-STD-3013-2018
B-8
Bulk density (g cm-3)
0 1 2 3 4 5 6 7
Pa
ck
in
g
fra
ct
io
n
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Figure B-3. The packing fraction of MIS represented material (red x’s) and
material from 3013 containers that have undergone destructive
evaluation through 2010 (black circles).
B.2.3. Defining the pressure terms
B.2.3.1. Pressure Due to Container Fill Gas
The amount of fill gas, nF, at the time a container is sealed is given by:
nF = P0Vg/RT0 [6]
Section 40
The values of P0 and T0 are the pressure and temperature at which the container
was loaded and sealed. It is conservative to assume that the amount of fill gas does
not change during storage, therefore at any time in the future when the temperature
is given by T1, the pressure due to the container fill gas is given by:
PF = nFRT1/Vg = (P0Vg/RT0)(RT1/Vg) = P0(T1/T0) [7]
DOE-STD-3013-2018
B-9
B.2.3.2. Gases of Concern
The only generated gas of significance during extended storage is hydrogen from
decomposition of adsorbed water. Maximum credible hydrogen pressures are
expected to be maintained well within the storage container pressure design basis.
The technical basis for these expectations is provided in Section A.6.1.2 of Appendix
A of this Standard. The derivation assumes that all the water is decomposed to form
hydrogen gas and that the oxygen is consumed by the material. This assumption has
always been considered to be conservative. For instance, an unexpected pressure
has always been defined as 100 psig or greater in Section A.6.2.1.4 in previous
issues of the 3013 Standard. Measurements that challenge this assumption were not
available when the Standard was originally written. Measurements are now available
from both destructive evaluation of 3013 containers and shelf-life studies [Veirs et al
2017]. In order to account for these observations, an empirical factor, ηH2 referred
to as the H2 fraction, is introduced to reduce the calculated hydrogen pressure.
B.2.3.2.1. Quantities of Hydrogen Produced
Starting with m kg of material with a moisture content of wH2O (mass fraction by
weight; note that the mass fraction is equivalent to the per cent by weight divided
by 100%), the amount of water is given by the following equation and converted to
moles of hydrogen:
nH2O=mwH2O/MH2O = nH2 [8]
where MH2O is the molecular mass of water, 0.018015 kg mol-1. The amount of
hydrogen, which is equal to the amount of water, results in a pressure rise
PH2=(mwH2O/MH2O)RT1/Vg [9]
which is the maximum value for the middle term of the equation in equation [2]
when ηH2 is taken to be 1.
B.2.3.2.2. The Hydrogen Fraction
The maximum hydrogen pressure generated by plutonium-bearing materials within
sealed containers is difficult to measure because of the long times required to reach
the maximum pressure and the need to continuously measure the gas composition
and pressure. The MIS shelf-life studies has conducted these difficult measurements
on a number of represented materials [Bailey et al., 2000; Berg et al., 2007; Duffey
et al., 2010; Veirs 2005; Veirs et al., 2004; Veirs/Berg 2008; Worl et al., 2000]. The
results of these measurements for shelf-life studies in small-scale reactors have
indicated that the maximum hydrogen pressure is at most one-quarter that predicted
by Equation [10]. Relative radiation dose to the gas-phase is smaller in small-scale
DOE-STD-3013-2018
B-10
reactors than in 3013 containers, resulting in potentially higher hydrogen pressures
in small-scale reactors than would be expected in 3013 containers if gas-phase
reactions consume hydrogen [Foy/Joyce 2008]. Surveillances of containers by
destructive examination after many years of storage have also measured hydrogen
pressures that are much less than predicted by Equation [9]. In order to quantify the
ratio of the actual amount of hydrogen generated to the maximum expected from
Equation [9], the H2 fraction term is defined as
ηH2 = nH2,obs / nH2O [10]
Section 41
where nH2,obs is the number of moles of hydrogen observed in the gas phase and nH2O
is the number of moles of water in the container. A plot of the measured hydrogen
fraction versus the wt% of moisture for the 3013 DE containers is given in Figure B-
4 [Veirs et al 2017].
Figure B-4. Plotted are the calculated H2 fractions observed during DE of
compliant 3013 containers for the four packaging sites and for the
non-compliant Hanford High Moisture Container (HHMC). The blue
dashed line is the H2 fraction bounding value from statistical
analysis of the DE data excluding the HHMC. The green dash-dot
line is an empirical boundary that ties the H2 fraction statistical
value of 0.13 to the bounding value for the entire DE population of
0.25.
DOE-STD-3013-2018
B-11
The blue dashed and the green dash-dot lines bound the DE observations in Figure
B-4. These lines are derived entirely from the DE observations of 3013 containers,
although the observations from shelf-life studies are consistent with these lines even
though the shelf-life SSR studies have a lower radiation dose-rate to the headspace
gas that should result in higher H2 concentrations and H2 fractions. The value of the
H2 fraction as a function of moisture wt% given by these lines can be used to reduce
PH2 calculated using Equation [9] to predict a maximum hydrogen pressure that is
more consistent with the observations of hydrogen in sealed containers. Parameters
describing these lines are given in Table B-3, and their derivation is detailed in Veirs
et al 2017.
Table B-3. The bounding values of the H2 fraction for use in the pressure
equation that results in the lines in Figure B-4.
Moisture (wt%) H2 fraction
0 to 0.31 0.13
0.31 to 0.5 0.600 (1/wt%) x wt% - 0.056
The expected maximum hydrogen pressure is given is given by Equation [11]
ηH2PH2 = ηH2 (mwH2O/MH2O)RT1/Vg [11]
where ηH2 is calculated from the relation given in Table B-3. Equation [11] is the
middle term in Equation [2].
B.2.3.2.3. Decay Helium
For a radioactive species, the decay rate (and, hence, the helium generation rate for
alpha decay) is
dN/dt =λN [12]
where λ is the decay constant and N is the amount of the decaying material [note:
the decay constant is related to the half-life by λ = ln(2)/t½]. As a function of time,
N is given by
N(t)=N0e-λt [13]
For alpha decay, each atom or mole of atoms that decays results in an atom or mole
of helium produced. The total amount of helium generated, nHe, over a period of
time, t, is therefore
nHe= N0 - N(t)= N0(1 - e-λt) ≈ N0λt [14]
DOE-STD-3013-2018
B-12
For values of λt, which are small, the term in parentheses can be replaced by its
linear approximation, λt. This approximation is conservative because λt ≥ 1 - e-λt.
The amount of a radionuclide is calculated from the mass fraction, the total mass,
and the atomic mass at the time the container is sealed,
N0=wm/M [15]
The amount of helium generated from the decay of this radionuclide can be
calculated for any time t,
nHe(t) = N0λt = (wm/M) λt [16]
The pressure resulting from the helium generated by the decay of this radionuclide
at time t is,
PHe(t) = nHe(t)RT1/Vg=wmλtRT1/MVg [17]
For high-purity oxide consisting of a single isotope of plutonium, 239Pu, the mass
fraction, decay constant, and atomic mass are w239Pu = 0.239 kg mol-1/0.271 kg mol-1
= 0.8819, λ239Pu = 2.87x10-5 yr-1, and M239Pu = 0.239 kg mol-1. Equation [16] for
high-purity oxide with exclusively 239Pu becomes,
Section 42
PHe(t) = 1.06x10-4 mol yr-1 kg-1 mtRT1/Vg. [18]
Equation [18] is the same as the third term of equation [2]. In order to account for
the generation of helium from all isotopes present one must sum over all
radionuclides that alpha decay,
[19]
In Equation [19], the index i represents all radionuclides that alpha decay. The most
important radionuclides to this Standard are given in Table B-9. An alternative
formulation of this term is possible that takes advantage of the thermal power of the
material, which is usually known. The thermal power of the contents is given by
[20]
where Ei is the radioactive decay energy for radionuclide i and Q is the total thermal
power of the material. For simplicity, consider that all alpha decay energies are
similar with a value near 5 MeV per event. Using a single value for the decay energy
simplifies Equation [20],
DOE-STD-3013-2018
B-13
[21]
[21a]
Substituting the expression for Q/E into equation [19] yields an expression for the
pressure due to helium generation from alpha decay as
[22]
Q can be calculated from the specific thermal power (q) for individual isotopes found
in Table B-9. Note that 1 MeV/event = 9.649x1010 J/mol [Lide 2003]. As can be seen
from Equation [22], the conservative evaluation is achieved by using a relatively low
value for E. A reasonable selection is the value for 239Pu. When that value is used,
Equation [22] becomes
PHe = 6.232x10-5 mol W-1 yr-1 QtRT1/Vg [23]
Note also that the contribution from decay of uranium isotopes is negligible, with the
possible exception of 233U. As an extreme case, consider an oxide material with a
composition of approximately 88 wt% 235U, 0.1 wt% 239Pu, and 0.5 wt% 233U. In
such a material, the contribution from 235U would be only about 3% of the Pu
contribution, and that from 233U, although comparable to that from Pu, would still
represent an insignificant source of pressurization.
B.2.3.2.4. The Helium Fraction
Similar to the case for hydrogen, not all of the helium gas predicted by Equation [23]
is seen in the gas-phase. In the case of helium, the alpha particles overwhelmingly
end their trajectory in the material phase after being emitted. A portion of these
eventually diffuse to the surface and enter the gas phase as helium, but the rest
remains trapped in the solid. The fraction released into the gas-phase is defined as
ηHe for use here. Equation [23] conservatively assumes all of the alpha decay results
in gas-phase helium, i.e. ηHe is one.
Also similar to hydrogen, it is difficult and expensive to conduct studies over many
years in sealed containers in order to quantify ηHe and no studies for this purpose
are available. However, observations of helium in sealed 238PuO2 fuel containers has
been used to determine the helium fraction [Mulford 2014].
Measurements of the helium pressure within 21 sealed containers of 238PuO2 was
analyzed and the observations expressed as the ratio of the pressure observed to
DOE-STD-3013-2018
B-14
the pressure calculated from alpha decay which is equivalent to ηHe as used here.4
The age of the containers ranged from 23 to 34 years and the temperature during
that time was assumed to be 350 ⁰C. The temperature is higher than expected for
3013 containers during storage so the value for ηHe observed under these conditions
should be larger than the value under 3013 storage conditions if diffusion is the
dominant mechanism that releases helium from the material into the gas phase. The
average value for the ratio of the helium pressures was 0.26 and the largest
observation was 0.37. Adding measurement uncertainty results in a bounding value
slightly less than 0.5.
Section 43
The recommended value for ηHe is 0.5. The expected helium pressure is given is
given by Equation [24]
ηHe PHe = ηHe 6.232x10-5 mol W-1 yr-1 QtRT1/Vg [24]
where ηHe is 0.5. Equation 24 is the last term in Equation [2].
B.2.3.3. Aggregate Equation
Summing the three partial pressures using Equation 2 and the terms given above
yields the aggregate equation for the total pressure:
P = P0(T1/T0) + ηH2 (mwH2 O/MH2 O)RT1/Vg + ηHe 6.232x10-5 mol W-1 yr-1 QtRT1/Vg.
[25]
B.3. APPLICATION OF THE PRESSURE EQUATION
B.3.1. Estimated Temperatures
The average gas temperature is impractical to measure and it is necessary to calculate
it. In this appendix, we are only interested in providing guidelines for use of Equation
[25], and so will use “worst case” temperatures that might be encountered. Calculations
at the Savannah River Site by Hensel for a configuration in which a storage container
generating 19 W is placed in a 9975 transportation package indicate an average gas
temperature of approximately 164 °C for normal storage conditions in an ambient
temperature of 37.8 °C (100 °F) (see Table A-2). These calculations also indicate an
average gas temperature of approximately 211 °C for transportation conditions
(exposure to solar heating). These temperatures are probably bounding and may be
used when other information is not available. Each storage facility should evaluate
average gas temperatures under the conditions anticipated at that facility, such as loss
of cooling events, to determine appropriate evaluation conditions.
DOE-STD-3013-2018
B-15
B.3.2. Example Calculations
B.3.2.1. Example Material Composition Density Calculation
Consider a material that contains plutonium, uranium, neptunium, and americium
oxides, with the maximum wt% of water, and impurities, with mass fractions as
given in Table B-4.
Table B-4. Values of parameters used to calculate particle density
Symbol Quantity Value Symbol Quantity Value
𝑤𝑤𝑃𝑃𝑃𝑃𝑃𝑃2 PuO2 mass fraction 0.64 𝜌𝜌𝑃𝑃𝑃𝑃𝑃𝑃2 Crystal density of PuO2 11.5 g cm-3
𝑤𝑤𝑈𝑈3𝑂𝑂8 U3O8 mass fraction 0.05 𝜌𝜌𝑈𝑈3𝑂𝑂8 Crystal density of U3O8 8.38 g cm-3
𝑤𝑤𝑁𝑁𝑁𝑁𝑁𝑁2 NpO2 mass fraction 0.00 𝜌𝜌𝑁𝑁𝑁𝑁𝑁𝑁2 Crystal density of NpO2 11.1 g cm-3
𝑤𝑤𝐴𝐴𝐴𝐴𝐴𝐴2 AmO2 mass fraction 0.005 𝜌𝜌𝐴𝐴𝐴𝐴𝐴𝐴2 Crystal density of AmO2 11.7 g cm-3
𝑤𝑤𝐻𝐻2𝑂𝑂 Water mass fraction 0.005 𝜌𝜌𝐻𝐻2𝑂𝑂 Density of liquid water 1.00 g cm-3
𝑤𝑤𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠 Salta mass fraction 0.30 𝜌𝜌𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠 Density of salta 2.50 g cm-3
a because much of the impurities are salts, the subscript ”salt” is used for all non-
actinide impurity material
The densities for the materials specified in Equation 5 are given by [Friday et al.,
2008] and listed in Table B-4. The particle density of the composite material is
𝜌𝜌 =
1
0.64
11.5 kg L-1 + 0.05
8.38 kg L-1 + 0.00
11.1 kg L-1 + 0.005
11.7 kg L-1 + 0.005
1.00 kg L-1 + 0.30
2.50 kg L-1
[26]
= 5.35 kg L-1. [26A]
B.3.2.2. Example Pressure Calculation for a Typical Loading of a Container
Assume that a RFETS container will be loaded with 2.4 kg of a stabilized material
with the composition used in B.3.2.1 and with a moisture content of 0.31 wt%. The
container was loaded at 86 °F (30 °C), and could encounter conditions in the storage
vault in which the gas temperature might reach 400 °F (204.4 °C). The thermal
power is calculated from the actinide composition given in Table B-4 and the specific
thermal power (q) given in Table B-9 assuming the Pu isotopics of weapons grade
material. The thermal power of the material is 1.93 W/kg times 2.4 kg of material, or
4.68 W. The evaluation temperature is 204.4 + 273 or 477.4 K, and the loading
temperature is 30 + 273 or 303 K. The pressure in the container is to be evaluated
Section 44
DOE-STD-3013-2018
B-16
after a storage time of 50 years. The values of the parameters used in the pressure
equation are summarized in Table B-5.
Table B-5. Values of parameters used to calculate pressure of a typical
loading
Symbol Quantity Value Symbol Quantity Value
P Container pressure kPa Vg
P0 Fill gas pressure at filling 101 kPa m Mass of material 2.4 kg
T1 Evaluation temperature 477.4 K ρ Density of material 5.35
kg/L
T0 Fill gas temperature at
filling
303 K Q Container thermal
power
4.63 W
wH2O Water mass fraction 0.0031 t Storage time 50 yr
Vc Unoccupied volume of
RFETS container
2.168 L ηH2 H2 fraction for 0.31
wt% water =
0.60x0.31 – 0.056
0.130
The gas volume is determined by subtracting the material volume from the 2.168 L
free volume of the RFETS container system:
𝑉𝑉𝑚𝑚 = 𝑚𝑚
𝜌𝜌
= 2.4 kg
5.35 kg L-1 = 0.449 L [27]
𝑉𝑉𝑔𝑔 = 𝑉𝑉𝑐𝑐 − 𝑉𝑉𝑚𝑚 = 2.168 L − 0.50 L = 1.719 L [28]
Substituting the parameters into Equation 24 yields:
P = 101 kPa *(477.4 K/ 303 K) +
0.130 2.45 kg * 0.0031/.018 kg/mol) *8.3145 kPa L mol-1 K-1 *477.4 K / 1.719 L +
0.5 6.232x10-5 mol W-1 yr-1 *4.68 W * 50 yr *8.3145 kPa L mol-1 K-1 *477.4 K / 1.719 L
[29]
=159 kPa + 124 kPa + 17 kPa [29A]
= 300 kPa [29B]
This calculation yields substantially less pressure than prescribed in previous versions
of DOE-STD-3013. For this material the pressure is 300 kPa (43.5 psia or 28.8 psig).
DOE-STD-3013-2018
B-17
B.3.2.3. Example with Unknown Density, 19 W Thermal Power
Assume that a RFETS container will be filled with 5 kg of material with an unknown
particle density. The other parameters given in Table B-6.
Table B-6. Values of parameters used to calculate pressure for material with
unknown density
Symbol Quantity Value Symbol Quantity Value
P Container pressure kPa Vc Unoccupied volume of
RFETS container
2.168 L
P0 Fill gas pressure at filling 101 kPa m Mass of material 5.0 kg
T1 Evaluation temperature 477.4 K Q Container thermal
power
19 W
T0 Fill gas temperature at
filling
303 K t Storage time 50 yr
wH2O Water mass fraction 0.005 ηH2 H2 fraction for 0.5 wt%
water = 0.60x0.5 –
0.056
0.244
Since the density is unknown but the bulk material fills the convenience container,
we can use the volume of the convenience container, which for RFETS is 1.856 L to
determine the bulk density and the packing fraction to determine a minimum particle
density:
𝜌𝜌bulk = 5 kg
1.856 L
= 2.694 kg L-1 [30]
𝜌𝜌 = 𝜌𝜌bulk
0.62
= 4.345 kg L-1 [31]
Using that density, we calculate the material volume and the free gas volume:
𝑉𝑉𝑚𝑚 = 𝑚𝑚
𝜌𝜌
= 5 kg
4.345 kg L-1 = 1.151 L [32]
𝑉𝑉𝑔𝑔 = 𝑉𝑉𝑐𝑐 − 𝑉𝑉𝑚𝑚 = 2.168 L − 1.151 L = 1.017 L [33]
The pressure terms are now:
P = 159 kPa + 0.244 (5 kg * 0.005/.018 kg/mol)* 8.3145 kPa l mol-1 K-1 * 477.4 K /
1.017 L +
0.5 6.232x10-5 mol W-1 yr-1 *19 W * 50 yr * 8.3145 kPa L mol-1 K-1 *477.4 K /1.017 L
DOE-STD-3013-2018
B-18
[34]
= 159 kPa + 1323 kPa + 116 kPa [34a]
= 1597 kPa [34b]
In this example, the maximum amount of material, maximum moisture content, and
the maximum thermal power are used resulting in a maximum value for the
pressure. The free gas volume is independent of the amount of material as long as
the limiting value for the packing fraction of 0.62 holds. In order to obtain a material
with a smaller value for the particle density, the amount of material must be less.
This results in the same free gas volume but less water due to the smaller mass of
material. The result would be a smaller pressure. Thus, the pressure calculated in
this example is the highest expected pressure. The pressure of 1597 kPa (231 psia)
is ~32% of the design pressure of 4920 kPa. There is no need to limit material
density as was required by previous DOE-STD-3013 versions.
Section 45
B.3.2.4. General Behavior of Pressure Equation – Effect of changing bulk density
The effect of changing the bulk density is examined using the bounding parameters
specified in B.3.2.3. The maximum packing fraction can be used to estimate the
internal pressure as a function of bulk density. The bulk density is allowed to vary
over a significant range, and the particle density is estimated by using the equation
𝜌𝜌 = 𝜌𝜌bulk
0.62
[35]
For this example, it is assumed that only weapons grade material will be considered.
The specific thermal power for weapons grade plutonium dioxide is 2.23 W/kg oxide,
or about 11.2 W for 5 kg of plutonium oxide. To be conservative, a value of 19 W
will be used for the thermal power. The calculations by Hensel (Table A-2) indicate
that a linear approximation of 6 °C per watt of thermal power can be used to
estimate average gas temperatures for different material thermal powers. This would
yield an average gas temperature of 211 °C for a 19 W package subjected to solar
radiation.
DOE-STD-3013-2018
B-19
The bounding pressure estimate for these conditions is shown in Figure B-5. The
behavior shown is characteristic of the relationship between pressure and density.
Starting from the right side of Figure B-5 and moving to the left, as the density
decreases, the free gas volume decreases, and the bounding pressure increases.
However, this behavior continues only until the innermost container (convenience
container) is full. After that, as the density is further reduced, the mass of material is
reduced, the amount of moisture is correspondingly reduced and the pressure
decreases. The maximum pressure occurs at the bulk density at which the
convenience can is just full.
In this case, the maximum
bounding pressure is 1597
kPa (231 psia or 216 psig).
Note that this particular
model demonstrates
compliance with Criterion
6.3.2.3 for all material
densities and would
eliminate the need to
measure density or
determine free gas volume.
The development and use of
such a model will be
governed by the Quality
Assurance program
applicable to the packaging
site (and acceptable to the
storing site) in terms of
regression coefficients and
confidence levels.
B.3.2.5. General Behavior of Pressure Equation – Effect of moisture
Using the bounding starting conditions given in Section B.3.2.3, the moisture content
is varied. The value for ηH2 decreases as the moisture wt% decreases. The result is
that the pressure falls more rapidly than the amount of moisture. For instance, a
reduction of the amount of moisture of 40% from 0.5 wt% to 0.3 wt% results in a
pressure drop of approximately 56% from 1597 kPa to 697 kPa. The temperature is
477.4 K, volume is 1.017 liter, thermal power is 19 watts, ηHe is 0.5, the initial
pressure is 101 kPa, and the amount of material is 5 kg at a density of 4.345 kg/L.
The results are given in Table B-7
Figure B-5. Bounding pressure as a function of bulk
density for the statistical model in B.3.2.3.
DOE-STD-3013-2018
B-20
Table B-7. The effect of moisture content on the maximum pressure.
Moisture
(wt%) ηH2
Pf
(kPa)
ηH2PH2
(kPa)
ηHePHe
(kPa)
P
(kPa)
P
(psia)
0.5 0.244 159 1323 116 1597 232
0.4 0.184 159 798 116 1072 156
0.3 0.13 159 423 116 697 101
0.2 0.13 159 282 116 556 81
0.1 0.13 159 141 116 415 60
B.3.2.6. General Behavior of Pressure Equation – Effect of material mass
Section 46
Using the bounding starting conditions given in Section B.3.2.3, the material mass is
varied. The material mass affects the temperature, the free gas volume and the
amount of water. For this example, the moisture is 0.5 wt% and ηH2 is 0.244, the
material density is 4.345 kg/L, the specific thermal power is 3.8 W/kg, ηHe is 0.5 and
the temperature is reduced by 6 degree / watt. The results are given in Table B-8.
Table B-8. The effect of material mass on the maximum pressure.
Material
mass
(kg)
Thermal
Power
(W)
T
(K)
V
(liter)
Pf
(kPa)
ηH2PH2
(kPa)
ηHePHe
(kPa)
P
(kPa)
P
(psia)
5 19 477.4 1.017 159 1322 116 1597 232
4 15.2 454.6 1.247 152 821 72 1045 152
3 11.4 431.8 1.478 144 494 43 681 99
2 7.6 409 1.708 136 270 24 430 62
1 3.8 386.2 1.938 129 112 10 251 36
B.4. PLUTONIUM RADIOACTIVE DECAY AND THERMAL POWER
This portion of Appendix B is intended to provide basic information about the various
radionuclides of interest to the Standard, and to illustrate the behavior of the specific
thermal power as a function of time for a variety of isotopic mixes. This material is not
intended to replace methods of determining the thermal power that the sites may decide
to use in conjunction with this Standard.
B.4.1. Expected Isotopic Compositions
Plutonium is produced in a nuclear reactor, and the vast majority of plutonium in the
Complex was produced either in Hanford production reactors or Savannah River
DOE-STD-3013-2018
B-21
production reactors. It is produced by irradiating uranium, and in these production
reactors the uranium has a low enrichment and is in a metallic form often referred to as
a “target.” The 238U accepts a neutron and is converted to 239Pu after beta decay
through neptunium. The 239Pu thus produced is exposed to the neutron flux as the
target remains in the reactor. Most, but not all neutron absorptions in 239Pu cause
fission, but some produce 240Pu. That isotope will accept a neutron to produce 241Pu,
which, in turn, will accept another to produce 242Pu, provided the 241Pu does not fission.
In addition, through a similar chain of neutron absorptions, 235U in the target will be
converted through 236U and 237Np to produce 238Pu. Consequently, plutonium can be
expected to have isotopes from 238 to 242 in noticeable quantities. The exact mix of
isotopes will depend on the irradiation time and the target and reactor characteristics,
with longer irradiation times producing more of the higher isotopes, higher target
enrichment producing more 238Pu, and reactor characteristics having effects that are less
easily described. Note that 238Pu and 241Pu both require three neutron absorptions, and,
as a consequence, their concentrations as a function of time will behave in a similar
fashion.
Once the target is discharged from the reactor, production of these isotopes stops, and
any further changes are the result of radioactive decay. With the exception of 241Pu, all
the plutonium isotopes decay by alpha decay. For the time spans of interest here, their
progeny are not important in terms of thermal power or helium production with the
exception, again, of 241Pu. That isotope decays fairly rapidly by beta decay into 241Am,
which then decays somewhat more slowly by alpha decay. Table B-9 contains pertinent
data for these isotopes, and for some uranium isotopes of interest.
Section 47
Table B-10 provides expected isotopic compositions for a variety of circumstances. The
three columns with various “grades” of plutonium refer to material that has been
recently discharged from a reactor and reprocessed (recovering the plutonium from the
uranium target is called “reprocessing”). In each case, the americium content is zero
because any that was formed during irradiation or any cooling period prior to
reprocessing, has been removed during reprocessing. The last three columns, pertaining
to Hanford materials, are for plutonium that has been “aged” for 10-30 years, and has
experienced a significant buildup of americium, and decay of 238Pu and 241Pu. The
percentage ranges refer to the 240Pu content of the material. Note that the first two
categories of Hanford plutonium are similar to the Weapon Grade and Fuel Grade
categories in terms of the 240Pu content. The similarity is more apparent if the americium
content is added to that of the 241Pu, which, for these decay times, provides a
reasonable estimate of the original 241Pu content.
DOE-STD-3013-2018
B-22
Table B-9. Decay energy for relevant nuclides
Radio-
nuclide
Half-lifea,
(yr)
Decay constantb
(yr-1)
Decay
Energya
(MeV/event)
Specific
Thermal
Powerc
(W/kg)
233U 1.592E+05 4.35E-06 4.909 0.281
235U 7.04E+08 9.85E-10 4.689 6.01E-05
238U 4.468E+09 1.55E-10 4.269 8.51E-06
238Pu 87.7 7.90E-03 5.593 568
239Pu 2.411E+04 2.88E-05 5.244 1.93
240Pu 6564 1.06E-04 5.256 7.07
241Pu 14.35 4.83E-02 0.0054 3.31
242Pu 3.75E+05 1.85E-06 4.986 0.116
241Am 432.2 1.60E-03 5.638 115
a. Half-life data and decay energy taken from ICRP 2008.
b. Decay constant calculated using λ = ln(2)/t1/2.
c. Specific thermal power (q) is calculated from the decay energy, the decay
constant, and the atomic weight, Eq. 20.
Table B-10. Isotopic mix and specific thermal power for various grades of
plutonium oxide
Nuclide Pure
239Pu
Weapons
Grade
Fuel
Grade
Power
Grade
Hanford
4-7%
Hanford
10-13%
Hanford
16-19%
238Pu 0.05% 0.1% 0.99% 0.01% 0.09% 0.24%
239Pu 100.0% 93.50% 86.1% 62.38% 93.77% 86.94% 80.66%
240Pu 6.00% 12.0% 21.78% 6.00% 11.81% 16.98%
241Pu 0.40% 1.6% 11.88% 0.20% 1.00% 1.44%
242Pu 0.05% 0.2% 2.97% 0.03% 0.17% 0.69%
241Am 0.14% 0.86% 2.80%
Initial q,
W/kg
oxide
1.70 2.23 2.76 7.73 2.17 3.57 6.52
Maximum
q, W/kg
oxide
1.70 2.48 3.96
16.2 2.31 4.20
7.18
DOE-STD-3013-2018
B-23
The two plots in Figure B-6 show how the specific thermal power changes with time for
each of the seven oxides given in Table B-10. Several characteristics are immediately
evident: 1) the maximum is very flat and broad; 2) the variation between initial and
maximum specific thermal power is a function of the initial 241Pu content (and the 238Pu
content, although that is not as obvious); and 3) for the Hanford material, the maximum
specific thermal power is only about 15% greater than the initial specific thermal power.
The Power Grade material in Figure B-6 provides an extreme example of the increase in
specific thermal power with time. This is due to the considerable buildup of 241Pu,
representing a source of 241Am and hence a future heat generation capability.
Figure B-6. Specific thermal power as a function of time
for several grades of plutonium oxide.
0
2
4
6
8
10
12
14
16
18
0 10 20 30 40 50 60 70 80
Sp
ec
ifi
c T
he
rm
al
P
ow
er
(W
/k
g
ox
id
e)
Years
Power
Fuel
Weapons
0
1
2
3
4
5
6
7
8
0 10 20 30 40 50 60 70 80
Sp
ec
ifi
c T
he
rm
al
P
ow
er
(W
/k
g
Section 48
ox
id
e)
Years
16-19%
10-13%
Fuel
Weapons
4-7%
Pu-239
DOE-STD-3013-2018
B-24
Fortunately, the Power Grade curve is not characteristic of any significant quantity of
plutonium to be packaged under this Standard. However, even for this material, after 20
years of storage and the consequent decay of the 241Pu into 241Am, the subsequent
increase in thermal power is only about 15%.
As a rule of thumb, the peak specific thermal power occurs about 40-60 years after
discharge from the reactor. Thus, after 20 years of storage, the peak is still some 20-40
years in the future. A reasonable approach to determining the peak thermal power is to
treat the 241Pu as though it was 241Am. An alternative approach is to attempt to estimate
the timing of the peak and then use the radioactive decay equations to determine the
isotopic composition and the thermal power. Because the peak is so flat, a very accurate
estimate of its time of occurrence is not necessary. To estimate the timing of the peak
the following equation can be used:
tpeak = -20.78 ln(0.0312 + 0.0302 w 51/ w 41 + 0.5716 w 48/ w 41) yr [36]
Where tpeak is the time until the peak thermal power
w 41 is the mass fraction of 241Pu
w 48 is the mass fraction of 238Pu, and
w 51 is the mass fraction of 241Am.
DOE-STD-3013-2018
C-1
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DOE-STD-3013-2018
D-1
APPENDIX D. CONCLUDING MATERIAL
Review Activity: Preparing Activity:
Programs Field Offices Savannah River Operations/AMNMS
NA AL
AU ID Project Number:
EM RL PACK-xxxx
MD SR
National Laboratories
LLNL
LANL
DOE-STD-3013-2018
Foreword
Table of Contents
Table of Tables
Table of Figures
Acronyms
1. Scope
2. Purpose
3. Applicability
4. References
4.1. DOE Documents
4.2. Other Government Documents
4.3. Non-Government Documents
5. Definitions
6. Stabilization, Packaging, and Storage Criteria
6.1. Stabilized Materials
6.1.1. Plutonium-Bearing Metals and Alloys
6.1.2. Oxides
6.1.3. Engineered Materials
6.1.4. Storage after Stabilization – Deferred Packaging
6.2. 3013 Container
6.2.1. Container Design Concept
6.2.2. Container Construction
6.2.3. Container Testing Criteria
6.3. Contents
6.3.1. Container Fill Gas
6.3.2. Contained Materials
6.4. Storage - Integrated Surveillance and Monitoring Program
6.4.1. Roles of Materials Identification and Surveillance Working Group (MIS-WG) in the ISMP
6.4.2. Changes to the ISMP
6.4.3. Roles of Packaging and Storage Sites in the ISMP
6.5. Documentation
6.5.1. Database
6.5.2. Database content elements
6.6. Quality Assurance
Appendix A. Technical Bases for Stabilization, Packaging and Storage of Plutonium-Bearing Materials
A.1. Scope
A.2. Purpose
A.3. Applicability
A.4. References
A.5. Acronyms and Definitions
A.6. Stabilization, Packaging, and Storage Criteria
Table A-2. Calculated temperatures ( C) in a 9975 package
Appendix B. Derivation and Guidance on Use of the Pressure Equation
Table B-1. Symbols and units
B.2 Derivation
B.2.1 Geometry Consideration
B.2.2 Material
B.2.3 Defining the pressure terms
B.3 Application of the Pressure Equation
B.3.1 Estimated Temperatures
B.3.2 Example Calculations
B.4. Plutonium Radioactive Decay and Thermal Power
B.4.1. Expected Isotopic Compositions
Appendix C. REferences
Appendix D. Concluding Material