ASTM C1233-15(2021)
(Practice)Standard Practice for Determining Equivalent Boron Contents of Nuclear Materials
Standard Practice for Determining Equivalent Boron Contents of Nuclear Materials
ABSTRACT
This practice details the recommended method for calculating the equivalent boron content (EBC) values of nuclear elements and materials that are of potential significance as thermal neutron poisons. EBC factors are determined from the atomic weight of elements and the thermal neutron absorption cross section in barns. These may be used depending upon the actual neutron energy characteristics of the applicable reactor system. The elements aluminum, fluorine, rubidium, barium, lead, silicon, beryllium, neon, tin, bismuth, oxygen, zirconium, carbon, magnesium, cerium, and phosphorus are not required to be included in the EBC calculations as their contribution to the total poison effect is not considerably significant.
SIGNIFICANCE AND USE
4.1 Use of this standard practice yields an equivalent boron content (EBC) that can be used to characterize the neutron-absorbing properties of a nuclear material. The elements included in the calculation are typically chosen so that the EBC represents either the entire material (for example, for a moderator) or the impurities in the material (for example, for a nuclear fuel). This practice is typically used for materials in which thermal neutron absorption is undesirable. The EBC is not intended for use as an input to any neutronic calculation. The EBC factors in Table 1 were selected to represent neutron absorption in water reactors under normal operating conditions. It is the responsibility of the user to evaluate their suitability for other purposes. (A) Neutron Cross Sections , Vol 1, Parts A and B, Academic Press, New York, 1981 and 1984, respectively.(B) Holden, N. E., and Martin, R. L., Pure and Applied Chemistry, Vol 56, p. 653, 1984.(C) When present in small concentrations, this element should be excluded from determinations of the total EBC.(D) In the absence of other data, the neutron capture cross section for a Maxwellian flux is used.(E) Cross section is primarily due to a single isotope, whose isotopic abundance is variable in nature. The value can vary between 733 and 779 barns depending upon the source. See Holden, N. E., Neutron Capture Cross Section Standards for BNL-325, Fourth Ed., BNL-NCS-51388, January 1981.(F) Cross section is primarily due to a single isotope, whose isotopic abundance is variable in nature. The value can vary between 69 and 72 barns depending upon the source. See Holden, N. E., Neutron Capture Cross Section Standards for BNL-325, Fourth Ed., BNL-NCS-51388, January 1981.
SCOPE
1.1 This standard details a recommended practice for the calculation of the Equivalent Boron Content (EBC) for nuclear materials. The EBC is used to provide a measure of the macroscopic neutron absorption cross section of a nuclear material. EBC factors for the natural elements are determined from their atomic masses and thermal neutron absorption cross sections. This practice is illustrated by using EBC factors that are based on thermal neutron (2200 m/s) absorption cross sections. Other EBC factors may be used depending upon the actual neutron energy spectrum.
1.2 The EBC is a characteristic of a homogeneous material. Characterization of inhomogeneous materials and calculation of neutron multiplication factors require techniques that are beyond the scope of this practice.
1.3 The values stated in SI units are to be regarded as standard. No other units of measurement are included in this standard.
1.4 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
General Information
Relations
Standards Content (Sample)
This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the
Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
Designation: C1233 − 15 (Reapproved 2021)
Standard Practice for
Determining Equivalent Boron Contents of Nuclear
Materials
This standard is issued under the fixed designation C1233; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope Spectrochemical Analysis of Nuclear-Grade Mixed Ox-
ides ((U, Pu)O )
1.1 This standard details a recommended practice for the
C761 Test Methods for Chemical, Mass Spectrometric,
calculation of the Equivalent Boron Content (EBC) for nuclear
Spectrochemical, Nuclear, and RadiochemicalAnalysis of
materials. The EBC is used to provide a measure of the
Uranium Hexafluoride
macroscopic neutron absorption cross section of a nuclear
C799 Test Methods for Chemical, Mass Spectrometric,
material. EBC factors for the natural elements are determined
Spectrochemical, Nuclear, and RadiochemicalAnalysis of
from their atomic masses and thermal neutron absorption cross
Nuclear-Grade Uranyl Nitrate Solutions
sections. This practice is illustrated by using EBC factors that
C859 Terminology Relating to Nuclear Materials
are based on thermal neutron (2200 m/s) absorption cross
sections. Other EBC factors may be used depending upon the
3. Terminology
actual neutron energy spectrum.
3.1 Terminology used in this practice is in accordance with
1.2 The EBC is a characteristic of a homogeneous material.
Terminology C859.
Characterization of inhomogeneous materials and calculation
4. Significance and Use
of neutron multiplication factors require techniques that are
beyond the scope of this practice.
4.1 Use of this standard practice yields an equivalent boron
content (EBC) that can be used to characterize the neutron-
1.3 The values stated in SI units are to be regarded as
absorbing properties of a nuclear material. The elements
standard. No other units of measurement are included in this
included in the calculation are typically chosen so that the EBC
standard.
represents either the entire material (for example, for a mod-
1.4 This international standard was developed in accor-
erator) or the impurities in the material (for example, for a
dance with internationally recognized principles on standard-
nuclear fuel). This practice is typically used for materials in
ization established in the Decision on Principles for the
which thermal neutron absorption is undesirable. The EBC is
Development of International Standards, Guides and Recom-
not intended for use as an input to any neutronic calculation.
mendations issued by the World Trade Organization Technical
The EBC factors in Table 1 were selected to represent neutron
Barriers to Trade (TBT) Committee.
absorption in water reactors under normal operating condi-
tions. It is the responsibility of the user to evaluate their
2. Referenced Documents
suitability for other purposes.
2.1 ASTM Standards:
5. Procedures for EBC Determination
C696 Test Methods for Chemical, Mass Spectrometric, and
Spectrochemical Analysis of Nuclear-Grade Uranium Di-
5.1 Agreement shall be reached between the buyer and
oxide Powders and Pellets
seller as to which elements shall be analyzed for calculation of
C698 Test Methods for Chemical, Mass Spectrometric, and
their EBC. It is recommended that B, Cd, Dy, Eu, Sm, and Gd
be included in this calculation. Analytical methods for such
elements shall be those given in Test Methods C696, C698,
This practice is under the jurisdiction of ASTM Committee C26 on Nuclear C761, and C799 as applicable or as otherwise agreed upon
Fuel Cycle and is the direct responsibility of Subcommittee C26.02 on Fuel and
between buyer and seller.
Fertile Material Specifications.
Current edition approved Oct. 1, 2021. Published October 2021. Originally 5.2 TheindividualEBCvaluesarecalculatedusingtheEBC
approved in 1993. Last previous approved in 2015 as C1233 – 15. DOI: 10.1520/
factors from Table 1 as follows:
C1233-15R21.
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
EBC of constituent =
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
(EBC factor of constituent)(µg of constituent/gof material)
Standards volume information, refer to the standard’s Document Summary page on
theASTM website. where:
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C1233 − 15 (2021)
TABLE 1 Equivalent Boron Content Factors
A
Neutron Absorption Cross Section (Barns) at B
Element Atomic Mass EBC Factor
2200 m/s
C
Aluminium 0.231 26.98 1.21E-04
D
Antimony 5.1 121.75 5.93E-04
Argon 0.68 39.95 2.41E-04
Arsenic 4.5 74.92 8.50E-04
C D
Barium 1.2 137.33 1.24E-04
C D
Beryllium 0.0076 9.01 1.19E-05
C
Bismuth 0.0338 208.98 2.29E-06
E
Boron 764 10.81 1.00E+00
Bromine 6.9 79.91 1.22E-03
Cadmium 2520 112.41 3.17E-01
C
Calcium 0.43 40.08 1.52E-04
C
Carbon 0.0035 12.01 4.12E-06
C D
Cerium 0.63 140.12 6.36E-05
Cesium 29 132.91 3.09E-03
Chlorine 33.5 35.45 1.34E-02
Chromium 3.07 52.00 8.35E-04
Cobalt 37.2 58.93 8.93E-03
Copper 3.78 63.54 8.42E-04
Dysprosium 940 162.50 8.18E-02
Erbium 159.2 167.26 1.35E-02
Europium 4565 151.97 4.25E-01
C D
Fluorine 0.0096 19.00 7.15E-06
Gado
...
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