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.

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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation: C1233 − 15
Standard Practice for
Determining Equivalent Boron Contents of Nuclear
1
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 Nuclear-Grade Uranyl Nitrate Solutions
C859 Terminology Relating to Nuclear Materials
1.1 This standard details a recommended practice for the
calculation of the Equivalent Boron Content (EBC) for nuclear
3. Terminology
materials. The EBC is used to provide a measure of the
3.1 Terminology used in this practice is in accordance with
macroscopic neutron absorption cross section of a nuclear
material. EBC factors for the natural elements are determined Terminology C859.
from their atomic masses and thermal neutron absorption cross
4. Significance and Use
sections. This practice is illustrated by using EBC factors that
are based on thermal neutron (2200 m/s) absorption cross
4.1 Use of this standard practice yields an equivalent boron
sections. Other EBC factors may be used depending upon the
content (EBC) that can be used to characterize the neutron-
actual neutron energy spectrum.
absorbing properties of a nuclear material. The elements
included in the calculation are typically chosen so that the EBC
1.2 The EBC is a characteristic of a homogeneous material.
represents either the entire material (for example, for a mod-
Characterization of inhomogeneous materials and calculation
erator) or the impurities in the material (for example, for a
of neutron multiplication factors require techniques that are
nuclear fuel). This practice is typically used for materials in
beyond the scope of this practice.
which thermal neutron absorption is undesirable. The EBC is
1.3 The values stated in SI units are to be regarded as
not intended for use as an input to any neutronic calculation.
standard. No other units of measurement are included in this
The EBC factors in Table 1 were selected to represent neutron
standard.
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
2.1 ASTM Standards:
C696 Test Methods for Chemical, Mass Spectrometric, and
5. Procedures for EBC Determination
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
Spectrochemical Analysis of Nuclear-Grade Mixed Ox-
be included in this calculation. Analytical methods for such
ides ((U, Pu)O )
2
elements shall be those given in Test Methods C696, C698,
C761 Test Methods for Chemical, Mass Spectrometric,
C761, and C799 as applicable or as otherwise agreed upon
Spectrochemical, Nuclear, and RadiochemicalAnalysis of
between buyer and seller.
Uranium Hexafluoride
C799 Test Methods for Chemical, Mass Spectrometric, 5.2 TheindividualEBCvaluesarecalculatedusingtheEBC
Spectrochemical, Nuclear, and RadiochemicalAnalysis of
factors from Table 1 as follows:
EBC of constituent =
1
This practice is under the jurisdiction of ASTM Committee C26 on Nuclear
(EBC factor of constituent)(µg of constituent/gof material)
Fuel Cycle and is the direct responsibility of Subcommittee C26.02 on Fuel and
where:
Fertile Material Specifications.
EBC factor of constituent = (atomic mass of boron)(σaof
Current edition approved June 1, 2015. Published June 2015. Originally
constituent)/[(atomic mass of constituent)(σa of boron)], and
approved in 1993. Last previous approved in 2009 as C1233 – 09. DOI: 10.1520/
C1233-15.
σa = atomic neutron absorption cross section in barns.
2
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
The EBC factors have been calculated using a value of 764
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
barns for the neutron absorption cross section (σa) of boron.
Standards volume information, refer to the standard’s Document Summary page on
the ASTM website. This value may vary in nature according to the isotopic
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
1

---------------------- Page: 1 ----------------------
C1233 − 15
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
...

This document is not an ASTM standard and is intended only to provide the user of an ASTM standard an indication of what changes have been made to the previous version. Because
it may not be technically possible to adequately depict all changes accurately, ASTM recommends that users consult prior editions as appropriate. In all cases only the current version
of the standard as published by ASTM is to be considered the official document.
Designation: C1233 − 09 C1233 − 15
Standard Practice for
Determining Equivalent Boron Contents of Nuclear
1
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
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.
2. Referenced Documents
2
2.1 ASTM Standards:
C696 Test Methods for Chemical, Mass Spectrometric, and Spectrochemical Analysis of Nuclear-Grade Uranium Dioxide
Powders and Pellets
C698 Test Methods for Chemical, Mass Spectrometric, and Spectrochemical Analysis of Nuclear-Grade Mixed Oxides ((U,
Pu)O )
2
C761 Test Methods for Chemical, Mass Spectrometric, Spectrochemical, Nuclear, and Radiochemical Analysis of Uranium
Hexafluoride
C799 Test Methods for Chemical, Mass Spectrometric, Spectrochemical, Nuclear, and Radiochemical Analysis of Nuclear-
Grade Uranyl Nitrate Solutions
C859 Terminology Relating to Nuclear Materials
3. Terminology
3.1 Terminology used in this practice is in accordance with Terminology C859.
4. 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.
5. Methods ForProcedures for EBC Determination
5.1 Agreement shall be reached between the buyer and seller as to which elements shall be analyzed for calculation of 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, C761, and C799 as applicable or as otherwise agreed upon between buyer and
seller.
1
This practice is under the jurisdiction of ASTM Committee C26 on Nuclear Fuel Cycle and is the direct responsibility of Subcommittee C26.02 on Fuel and Fertile
Material Specifications.
Current edition approved June 1, 2009June 1, 2015. Published July 2009June 2015. Originally approved in 1993. Last previous approved in 20032009 as
C1233 – 03.C1233 – 09. DOI: 10.1520/C1233-09.10.1520/C1233-15.
2
For referenced ASTM standards, visit the ASTM website, www.astm.org, or contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM Standards
volume information, refer to the standard’s Document Summary page on the ASTM website.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
1

---------------------- Page: 1 ----------------------
C1233 − 15
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.
...

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