ASTM D7168-21
(Test Method)Standard Test Method for 99Tc in Water by Solid Phase Extraction Disk
Standard Test Method for <sup>99</sup>Tc in Water by Solid Phase Extraction Disk
SIGNIFICANCE AND USE
5.1 This test method has not been evaluated for all possible matrices. Test method suitability should be determined on specific waters of interest.
SCOPE
1.1 This test method describes a solid phase extraction (SPE) procedure to separate 99Tc from environmental water (non-process-related or effluent water samples). Technetium-99 beta activity is measured by liquid scintillation spectrometry.
1.2 This test method is designed to measure 99Tc in the range of approximately 0.037 Bq/L (1.0 pCi/L) or greater for a one litre sample.
1.3 This test method has been used successfully with tap water. It is the user’s responsibility to ensure the validity of this test method for samples larger than 1 L and for waters of untested matrices.
1.4 Technetium-99 alternatively can be determined in water samples using Practice D8026.
1.5 The values stated in SI units are to be regarded as standard. The values given in parentheses are provided for information only and are not considered standard.
1.6 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use. For specific hazard statements, see Section 9.
1.7 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
- Status
- Published
- Publication Date
- 14-Dec-2021
- Technical Committee
- D19 - Water
- Drafting Committee
- D19.04 - Methods of Radiochemical Analysis
Relations
- Effective Date
- 01-May-2020
- Effective Date
- 01-May-2020
- Effective Date
- 01-Feb-2019
- Effective Date
- 01-Feb-2018
- Effective Date
- 15-Feb-2016
- Effective Date
- 01-Feb-2016
- Effective Date
- 15-Jan-2014
- Effective Date
- 15-Jan-2014
- Effective Date
- 01-Apr-2013
- Effective Date
- 15-Jun-2012
- Effective Date
- 01-Dec-2010
- Effective Date
- 01-Mar-2010
- Effective Date
- 01-Oct-2008
- Effective Date
- 15-Jan-2008
- Effective Date
- 01-Dec-2007
Overview
ASTM D7168-21 is a standard test method developed by ASTM International to measure the concentration of technetium-99 (^99Tc) in environmental water samples using solid phase extraction (SPE) disks. This method is designed for non-process-related or effluent water, such as surface water, groundwater, or tap water, and quantifies ^99Tc beta activity through liquid scintillation spectrometry. Accurate determination of radiochemical contaminants like technetium-99 is essential for environmental monitoring, water safety, and compliance with regulatory standards.
Key Topics
- Solid Phase Extraction (SPE): This standard describes a procedure in which technetium in water samples is selectively retained on an SPE disk, concentrating the analyte for subsequent measurement.
- Liquid Scintillation Spectrometry: After extraction, beta activity of technetium-99 is quantified using liquid scintillation counters, which offer high sensitivity for low-level radioactive measurements.
- Sample Range & Suitability: The method is validated for water samples with approximately 0.037 Bq/L (1.0 pCi/L) or greater in 1-liter samples. It has been used successfully for tap water, but users must verify suitability for other matrices or larger samples.
- Quality Assurance: The standard emphasizes robust quality control practices, including method blanks, laboratory control samples, duplicates, and calibration procedures using traceable standards.
- Detection and Interference: The method outlines steps to account for sample interferences, such as removal of suspended solids, treatment of organic matter, and managing interferences from other anionic radionuclides.
- Safety Considerations: Users are responsible for adhering to proper safety protocols for chemical and radiochemical handling, as well as conforming to regulatory requirements.
Applications
ASTM D7168-21 is widely applicable for:
- Environmental Monitoring: Supports regulatory compliance by enabling the detection of technetium-99 in drinking water, groundwater, and surface water, critical near nuclear facilities or waste repositories.
- Water Quality Assessment: Used by laboratories, environmental consultants, and public health organizations for routine surveillance and risk assessment of radiochemical contamination.
- Research and Development: Assists researchers in studying radionuclide transport in aquatic environments and assessing the fate of technetium-99 from anthropogenic or natural sources.
- Regulatory Reporting: Frequently referenced in regulatory frameworks to ensure that water supplies meet safety standards regarding radioactive isotopes.
- Comparison to Alternative Methods: While this method uses SPE and scintillation counting, related methods such as ASTM D8026 apply inductively coupled plasma mass spectrometry (ICP-MS) for ^99Tc analysis.
Related Standards
To ensure comprehensive water quality testing and consistency across laboratories, ASTM D7168-21 should be considered alongside related ASTM standards:
- ASTM D1129 - Terminology Relating to Water
- ASTM D1193 - Specification for Reagent Water
- ASTM D2777 - Practice for Determination of Precision and Bias
- ASTM D3370 - Practices for Sampling Water from Flowing Streams
- ASTM D4448 - Guide for Sampling Groundwater
- ASTM D5847 - Practice for Writing Quality Control Specifications
- ASTM D6001 - Guide for Direct-Push Groundwater Sampling
- ASTM D7282 - Practice for Setup, Calibration, and Quality Control of Instruments Used for Radioactivity Measurements
- ASTM D7902 - Terminology for Radiochemical Analyses
- ASTM D8026 - Practice for Determination of Tc-99 in Water by ICP-MS
Summary
ASTM D7168-21 is an essential standard for laboratories and environmental professionals involved in monitoring technetium-99 levels in water. Its solid phase extraction approach and detailed quality assurance guidelines support precise, reliable measurement of radiochemical contaminants, contributing to public health, environmental protection, and regulatory compliance.
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Frequently Asked Questions
ASTM D7168-21 is a standard published by ASTM International. Its full title is "Standard Test Method for <sup>99</sup>Tc in Water by Solid Phase Extraction Disk". This standard covers: SIGNIFICANCE AND USE 5.1 This test method has not been evaluated for all possible matrices. Test method suitability should be determined on specific waters of interest. SCOPE 1.1 This test method describes a solid phase extraction (SPE) procedure to separate 99Tc from environmental water (non-process-related or effluent water samples). Technetium-99 beta activity is measured by liquid scintillation spectrometry. 1.2 This test method is designed to measure 99Tc in the range of approximately 0.037 Bq/L (1.0 pCi/L) or greater for a one litre sample. 1.3 This test method has been used successfully with tap water. It is the user’s responsibility to ensure the validity of this test method for samples larger than 1 L and for waters of untested matrices. 1.4 Technetium-99 alternatively can be determined in water samples using Practice D8026. 1.5 The values stated in SI units are to be regarded as standard. The values given in parentheses are provided for information only and are not considered standard. 1.6 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use. For specific hazard statements, see Section 9. 1.7 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.
SIGNIFICANCE AND USE 5.1 This test method has not been evaluated for all possible matrices. Test method suitability should be determined on specific waters of interest. SCOPE 1.1 This test method describes a solid phase extraction (SPE) procedure to separate 99Tc from environmental water (non-process-related or effluent water samples). Technetium-99 beta activity is measured by liquid scintillation spectrometry. 1.2 This test method is designed to measure 99Tc in the range of approximately 0.037 Bq/L (1.0 pCi/L) or greater for a one litre sample. 1.3 This test method has been used successfully with tap water. It is the user’s responsibility to ensure the validity of this test method for samples larger than 1 L and for waters of untested matrices. 1.4 Technetium-99 alternatively can be determined in water samples using Practice D8026. 1.5 The values stated in SI units are to be regarded as standard. The values given in parentheses are provided for information only and are not considered standard. 1.6 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use. For specific hazard statements, see Section 9. 1.7 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.
ASTM D7168-21 is classified under the following ICS (International Classification for Standards) categories: 13.060.60 - Examination of physical properties of water. The ICS classification helps identify the subject area and facilitates finding related standards.
ASTM D7168-21 has the following relationships with other standards: It is inter standard links to ASTM D1129-13(2020)e2, ASTM D7902-20, ASTM D4448-01(2019), ASTM D7902-18, ASTM D8026-16, ASTM D7902-16, ASTM D7902-14, ASTM D7902-14e1, ASTM D4448-01(2013), ASTM D2777-12, ASTM D3370-10, ASTM D1129-10, ASTM D3370-08, ASTM D2777-08, ASTM D3370-07. Understanding these relationships helps ensure you are using the most current and applicable version of the standard.
ASTM D7168-21 is available in PDF format for immediate download after purchase. The document can be added to your cart and obtained through the secure checkout process. Digital delivery ensures instant access to the complete standard document.
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: D7168 − 21
Standard Test Method for
99 1
Tc in Water by Solid Phase Extraction Disk
This standard is issued under the fixed designation D7168; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision.Anumber in parentheses indicates the year of last reapproval.A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope D1193Specification for Reagent Water
D2777Practice for Determination of Precision and Bias of
1.1 This test method describes a solid phase extraction
99 Applicable Test Methods of Committee D19 on Water
(SPE) procedure to separate Tc from environmental water
D3370Practices for Sampling Water from Flowing Process
(non-process-relatedoreffluentwatersamples).Technetium-99
Streams
beta activity is measured by liquid scintillation spectrometry.
D4448Guide for Sampling Ground-Water MonitoringWells
1.2 This test method is designed to measure Tc in the
D5847Practice for Writing Quality Control Specifications
range of approximately 0.037 Bq/L(1.0 pCi/L) or greater for a
for Standard Test Methods for Water Analysis
one litre sample.
D6001Guide for Direct-Push Groundwater Sampling for
Environmental Site Characterization
1.3 This test method has been used successfully with tap
water.Itistheuser’sresponsibilitytoensurethevalidityofthis D7282Practice for Setup, Calibration, and Quality Control
of Instruments Used for Radioactivity Measurements
test method for samples larger than 1 L and for waters of
untested matrices. D7902Terminology for Radiochemical Analyses
D8026Practice for Determination of Tc-99 in Water by
1.4 Technetium-99 alternatively can be determined in water
Inductively Coupled Plasma Mass Spectrometry (ICP-
samples using Practice D8026.
MS)
1.5 The values stated in SI units are to be regarded as
standard. The values given in parentheses are provided for
3. Terminology
information only and are not considered standard.
3.1 Definitions:
1.6 This standard does not purport to address all of the
3.1.1 For definitions of terms used in this standard, refer to
safety concerns, if any, associated with its use. It is the
TerminologiesD7902andD1129.Fortermsnotdefinedinthis
responsibility of the user of this standard to establish appro-
testmethodorinTerminologiesD1129orD7902,refertoother
priate safety, health, and environmental practices and deter-
published glossaries.
mine the applicability of regulatory limitations prior to use.
For specific hazard statements, see Section 9.
4. Summary of Test Method
1.7 This international standard was developed in accor-
dance with internationally recognized principles on standard- 4.1 Ameasuredaliquantofsampleistransferredtoabeaker.
Hydrogen peroxide is added to facilitate the formation of the
ization established in the Decision on Principles for the
Development of International Standards, Guides and Recom- extractable pertechnetate ion. The sample may be heated to
oxidize organics if such are suspected to be present.The entire
mendations issued by the World Trade Organization Technical
Barriers to Trade (TBT) Committee. sampleispassedthroughatechnetium-selectiveSPEdiskonto
which the pertechnetate is adsorbed. The disk is transferred to
2. Referenced Documents
a liquid scintillation vial, cocktail added, and the contents well
mixed. The beta emission rate of the sample is determined by
2.1 ASTM Standards:
D1129Terminology Relating to Water liquid scintillation spectrometry. Chemical yield corrections
are determined by the method of standard additions.
This test method is under the jurisdiction ofASTM Committee D19 on Water
4.2 Minor differences in processing between Extraction
andisthedirectresponsibilityofSubcommitteeD19.04onMethodsofRadiochemi-
Chromatographic Resin Discs and PTFE Membrane Disks are
cal Analysis.
addressed in Variations A and B of the test method.
Current edition approved Dec. 15, 2021. Published December 2022. Originally
published in 2005. Last previous edition published 2016 as D7168 – 16. DOI:
10.1520/D7168-21.
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 American National Standard Glossary of Terms,” Nuclear Science and Tech-
Standards volume information, refer to the standard’s Document Summary page on nology (ANSI N1.1), American National Standards Institute, 1430 Broadway, New
the ASTM website. York, NY 10018.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
D7168 − 21
5. Significance and Use 7.2 Liquid Scintillation Spectrometer, with multiple energy
region of interest (ROI) capabilities.
5.1 This test method has not been evaluated for all possible
matrices. Test method suitability should be determined on
7.3 Scintillation Vials, 20 mL vials, low-potassium glass or
specific waters of interest. plastic, exhibiting suitable optical reproducibility so as not to
cause erratic results between samples.
6. Interferences
8. Reagents and Materials
6.1 Suspended materials must be removed by filtration or
centrifuging prior to processing the sample. Suspended par-
8.1 Purity of Reagents—Reagent grade chemicals shall be
ticulate matter in the sample will be physically trapped, in part
used in all tests. Unless otherwise indicated, it is intended that
orinwhole,onorintheSPEextractionmaterial.Thismaylead
all reagents shall conform to the specifications of the Commit-
topotentialinclusionofradionuclidebearingsolidsortosignal
tee onAnalytical Reagents of theAmerican Chemical Society,
quenching in the liquid scintillation measurement.
where such specifications are available. Other grades may be
used, provided that the reagent is of sufficiently high purity to
6.2 Technetium-99 activity in the sample may overwhelm
permit its use without increasing the background of the
the signal from the Tc spike addition and interfere with
measurement. Some reagents, even those of high purity, may
accurate determination of chemical yield. If the relative uncer-
contain naturally-occurring radioactivity, such as isotopes of
tainty of the chemical yield, neglecting the uncertainty of the
uranium, radium, actinium, thorium, rare earths and potassium
counting efficiency, exceeds 10% (that is, u ~ε¯ · Y!.10 %), it
r
compounds, or artificially produced radionuclides, or combi-
can be reduced by increasing the count time or by re-preparing
nation thereof. Consequently, when such reagents are used in
the sample with appropriately adjusted aliquant and spike
the analysis of low radioactivity samples, the activity of the
addition levels. See also the discussion of the quantitation
range in Appendix X1. reagents shall be determined under analytical conditions that
are identical to those used for the sample. The activity
6.3 Organic compounds present in significant quantities in
contributed by the reagents may be considered to be a
thesamplemaydegradetheextractionperformanceoftheSPE
component of background and applied as a correction when
disk or may lead to elevated levels of quench during liquid
calculating the test sample result. This increased background
scintillation analysis.After the addition of hydrogen peroxide,
reduces the sensitivity of the measurement.
thesamplemaybeheatedtodestroytraceorganicmatterinthe
sample.Iforganiccomponentsarepresentinthesamplewhich 8.2 Purity of Water—Unless otherwise indicated, references
may survive the peroxide digestion, these may be removed towatershallbeunderstoodtomeanreagentwaterconforming
with an appropriate organic removal resin or disk (such as to Specification D1193, Type III.
Amberchrom resin or disk) prior to passing the sample
8.3 Radioactive Purity—Radioactive purity shall be such
through the extraction chromatographic resin disc.
that the measured radioactivity of blank samples does not
6.4 The disk may retain tritium-labeled compounds. Setting exceed the calculated probable error of the measurement.
the Tc counting window above the maximum energy for the
8.4 Technetium-Specific Solid Phase Extraction (SPE) Disks
tritium beta particle will eliminate potential tritium interfer-
or Membranes—(Extraction Chromatographic Resin Discs or
ence.
5, 6
PTFE Membrane Disks ).
–1
6.5 Elevated levels of nitrates (>10000 mg L ) will inter-
8.5 Hydrochloric Acid, 0.5 M—Add 42 mL concentrated
fere with uptake of Tc.
HCl to 400 mL of reagent water. Dilute to 1 L with water.
6.6 The higher energy region above the maximum energy
99 8.6 Nitric Acid, concentrated.
for Tc should be monitored to help identify cases of signifi-
cant actinide interference.
8.7 Hydrogen Peroxide, 30%.
6.7 Elevated levels of radionuclides present in anionic form
8.8 Technetium-99—as pertechnetate in water or dilute base
such as iodate, iron (III) and antimony may interfere with
solution, traceable to the SI through a national metrology
measurement of technetium and lead to a positive bias in
institute such as National Institute of Standards and Technol-
sample results. Significantly elevated levels of actinides
ogy (NIST) or UK National Physical Laboratory (NPL)
(esp. Th decay progeny of uranium) when present in the
8.9 Liquid Scintillation Cocktail—Commercially prepared
sample may cause a high bias in the reported Tc activity.
5, 7
LSC cocktail or equivalent.
Manufacturer-specific recommendations about interferences
should be taken into consideration when determining the
applicability of this test method for a given matrix.
The sole source of supply of the Eichrom TEVA (a trademark of Eichrom
Industries) Discs known to the committee at this time is Eichrom Industries, Inc.,
7. Apparatus
Lisle, IL. If you are aware of alternative suppliers, please provide this information
7.1 Filtering Apparatus, 47 mm diameter filter apparatus as to ASTM International Headquarters. Your comments will receive careful consid-
erationatameetingoftheresponsibletechnicalcommittee, whichyoumayattend.
recommended by the SPE manufacturer.
3M CDS Empore (a trademark of 3M Company, St. Paul, MN) Tc Rad Disks
have been found satisfactory for this purpose.
Ultima Gold (a trademark of Perkin Elmer Life and Analytical Sciences,
Amberchrom is a trademark of the Dow Chemical Company, Midland, MI. Shelton, CT) LLT has been found satisfactory for this purpose.
D7168 − 21
9. Hazards
A = activity of standard Tc added to each vial (Bq).
C
9.1 Use extreme caution when handling all acids. They are
12.2 Calculate the average and the standard deviation, s(ε),
extremely corrosive, and skin contact could result in severe
for the three efficiency values. The standard deviation is used
burns.
to estimate the relative standard uncertainty of the average
efficiency, u(ε¯), as follows:
9.2 When diluting concentrated acids, always use safety
r
glasses and protective clothing, and add the acid to the water.
2 2
s ε ⁄ ε‾
~ !
u ~ε‾! 5Œ 1u ~A ! (2)
r r C
10. Sampling
where:
10.1 Collect a sample in accordance with Practices D3370
or Guides D4448 or D6001.
u(A ) = relative standard uncertainty of the activity of
r C
standard Tc added to each vial.
11. Preservation
12.3 Abackground subtraction count (BSC) vial consisting
11.1 Preservation of samples being analyzed for Tc is not
of reagent water shall be processed and analyzed with each
required.
batch of samples to determine the background count rate in
11.1.1 Samples may be preserved by freezing. Allow
countspersecond(R )tobeusedforthecalculationofsample
B
samples to come to ambient temperature prior to processing.
results.
11.1.2 Samples may be processed if they have been previ-
ously preserved to pH less than 2 with nitric or hydrochloric
13. Procedure
acid. It is noted that high concentrations of nitric acid will
NOTE 2—To minimize the risk of cross-contamination while ensuring
adverselyaffectchemicalyield.Althoughyieldcorrectionswill
reproducibilitybetweenthesampleanditsspikedduplicate,eachaliquant-
correct for losses, better results may be obtained by using
spiked aliquant pair should be run simultaneously and in parallel, using
separate dedicated filtration apparatus.
unpreserved samples.
NOTE 3—The sample aliquant is typically 1 L but depending on the
activity present and the required detection limit for the analysis, this may
12. Calibration
vary from 0.1 to several litres.
NOTE 1—See Practice D7282 for additional details on set-up,
NOTE 4—A background subtraction count (BSC) consisting of a vial,
calibration, and quality control of liquid scintillation counters.
cocktail and blank disk is performed with each batch to determine the
12.1 The fractional detection efficiency (ε) is determined as
background count rate to be subtracted from each measurement (R in Eq
B
outlined in subsequent steps. 3). If the BSC is to be reused, the user should determine its stability and
shelf-life.
12.1.1 Prepare triplicate working calibration source (WCS)
adding at least 20 Bq (~540 pCi) of traceable Tc in the
13.1 Test Method Variation A—For use with Extraction
pertechnetateformtoeachofthree100mLportionsofreagent
Chromatographic Resin Discs:
water. Each of the three samples is processed using either test
13.1.1 For each sample and QC sample to be processed,
method variation (A or B), as appropriate.
transfer duplicate 1 L aliquants of sample to each of two
12.1.2 Collect the effluents from the three WCSs. Process
beakers.
the composited solution according to the test method to verify
13.1.2 Acidify samples to pH 2 with nitric acid, if not done
that greater than 99% of the technetium was retained by the
previously.
SPE material in the calibration runs.
13.1.3 Add a known quantity (~20 Bq) of a traceable Tc
12.1.2.1 If analysis of the combined effluent indicates
solution to the second aliquant of the sample, which is labeled
greater than 1% breakthrough of Tc, the concentration of the
as the spiked sample. (See 6.2 for comment on appropriate
WCS activity should be corrected for the losses. If the
spiking level.)
breakthrough of Tc is greater than 5%, the cause for the
13.1.4 Add 10 mL of 30% H O to each sample while
2 2
losses should be identified and new WCSs prepared.
stirring.
12.1.3 An analyte-free aliquant of 100 mL reagent water is
13.1.5 If the presence of organic interferences is suspected,
also processed as a background subtraction count (BSC).
heat the sample on a hotplate at approximately 80°C for about
12.1.4 Count the three vials containing the WCS and the
1 hour or until any visible reaction has subsided. Allow the
BSC in a liquid scintillation spectrometer for a time sufficient
sample to cool to ambient temperature before proceeding with
to amass greater than 10000 counts for each of the WCS.
subsequent steps.
12.1.5 Calculatethe Tcdetectionefficiency(ε) foreachof
13.1.6 Using forceps, carefully position a disc on the filter
the three vials:
stand. Secure the funnel reservoir over the disc.
13.1.7 Precondition the disc by allowing 25 mLof water to
R 2 R
G CB
ε 5 (1)
A pass through the disc by gravity. Check the filter funnel for
C
leaks.
where:
13.1.8 Add the sample to the funnel reservoir and allow to
R = gross count rate of the vial in the Tc count window
G
passthroughthediscbygravityflow(nominalflowrateshould
in counts per second,
not exceed ~100 mL/min). If needed, vacuum may be used to
R = count rate of the BSC associated with the efficiency
CB
maintain adequate flow.
measurement in the Tc count window in counts per
13.1.9 Rinse the disc with 25 mL of 0.5 M HCl.
second, and
13.1.10 Rinse the disc with 100 mL of water.
D7168 − 21
13.1.11 Apply vacuum to the filtration apparatus to remove
ε = average fractional detection efficiency,
¯
residual liquid from the disc.
V = volume of the sample aliquant in litres, and
A
13.1.12 Detach the reservoir from the filter apparatus.
Y = fractional chemical yield from Eq 4.
13.1.13 Using forceps, remove and carefully roll the disc
14.2 Fractional Chemical Yield (Y):
and transfer to a scintillation vial.
R 2 R
13.1.14 Add 15 mL of liquid scintillation cocktail. S A
Y 5 (4)
ε‾·A
13.1.15 Cap and shake the contents of the vial, to allow the S
disc to disintegrate. A vortex mixer may be used.
where:
13.1.16 Count the sample test source (STS) in a liquid
R = grosscountrateofthespikedsamplealiquantincounts
S
scintillation spectrometer using an optimized energy window
per second, and
withintherangeof20to292keVforaperiodoftimeadequate 99
A = activity of Tc added to the spiked sample aliquant in
S
to achieve the required detection limit.
becquerels (Bq).
13.2 Test Method Variation B—For use with PTFE Extrac-
NOTE 5—Eq 4 above and the uncertainty equations below assume the
volumes of the spiked and unspiked sample aliquants are the same.
tion Membranes:
13.2.1 For each sample and QC sample to be processed,
14.3 The component of the combined standard uncertainty
transfer duplicate 1 L aliquants of sample to each of two
of the Tc activity concentration due to counting statistics,
beakers.
u (AC), is given by:
cC
13.2.2 Add a known quantity (~20 Bq) of traceable Tc
1 AC·V R R
A A B
solution to the second aliquant of the sample which is labeled u AC
~ ! 5 11 1
cC FS D
ε‾·V ·Y A t t
A S A B
as the spiked sample. (See 6.2 for comment on appropriate
(5)
2 1⁄2
AC·V R
A S
spiking level.)
S D G
A t
S A
13.2.3 Add 10 mL of 30% H O to each sample while
2 2
stirring.
where:
13.2.4 If the presence of organic interferences is suspected,
t = count duration of the STS in seconds, and
A
heat the sample on a hotplate at approximately 80°C for
t = BSC count duration in seconds.
B
approximately1houroruntilanyvisiblereactionhassubsided.
14.4 Therelativestandarduncertaintyofthechemicalyield,
Allow the sample to cool to ambient temperature before
neglecting the uncertainty of the efficiency, ɛ¯, is given by:
proceeding with subsequent steps.
13.2.5 Using forceps, carefully position a disk on the filter
R 1R
S A
2 2 2
12~R 2 R ! ~u ~V !1u ~…!!
stand. Secure the funnel reservoir over the disk. A B r A r
t
A
u ~ε‾·Y!5 1u A
~ !
! 2
13.2.6 Connect the filtering apparatus to a vacuum source. r r S
~R 2 R !
S A
13.2.7 Pass the sample through the disk at a nominal flow
(6)
rate of ~100 mL/min.
Then the total combined standard uncertainty of the yield is
13.2.8 Rinse the disk with 25 mL of 0.5 M HCl.
13.2.9 Rinse the disk with 100 mL of water. given by:
13.2.10 Detach the reservoir from the filter apparatus.
2 2
u Y 5 Y·=u ~ε‾·Y!1u ε‾ (7)
~ ! ~ !
c r r
13.2.11 Using forceps, remove and gently roll the disk and
transfer to a scintillation vial. where:
13.2.12 Add 15 mL of liquid scintillation cocktail.
u (V ) = relative standard uncertainty of the sample (or
r A
13.2.13 Cap and shake the contents of the vial to mix well.
spiked sample) aliquant volume,
Inspect vial to ensure that the disk is completely immersed in
u(ε¯) = relative standard uncertainty of the average effi-
r
cocktail.
ciency factor,
13.2.14 Count the sample test source (STS) in a liquid
u(A ) = relative standard uncertainty of spike added
r S
scintillation spectrometer using an optimized energy window activity, and
withintherangeof20to292keVforaperiodoftimeadequate u(.) = additional relative standard uncertainty associated
r
to achieve the measurement quality objectives (such as a with the preparation and counting of each sample
required detection limit or quantitation limit). aliquant (recommended 0.01 by default – see
14.4.1).
14. Calculations
14.4.1 The additional uncertainty, u(…), accounts for the
r
14.1 Tc Activity Concentration(AC) in Bq/L:
possible variability of the true yield between the spiked and
R 2 R unspiked aliquants as well as for any other small differences
A B
AC 5 (3)
that might affect the observed count rates but that are not
ε‾·V ·Y
A
otherwise accounted for.
where:
14.4.2 If the relative standard uncertainty exceeds 10%,
R = count rate of sample test source (STS) in counts per
A
(that is, u(ɛ¯·Y) > 10%), reduce the uncertainty by increasing
r
second,
the count time or re-preparing the sample with appropriately
R = count rate of the background subtraction count (BSC)
B
adjusted aliquant and spike addition
...
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: D7168 − 16 D7168 − 21
Standard Test Method for
99 1
Tc in Water by Solid Phase Extraction Disk
This standard is issued under the fixed designation D7168; 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 test method describes a solid phase extraction (SPE) procedure to separate Tc from environmental water (non-process-
related or effluent water samples). Technetium-99 beta activity is measured by liquid scintillation spectrometry.
1.2 This test method is designed to measure Tc in the range of approximately 0.037 Bq/L (1.0 pCi/L) or greater for a one litre
sample.
1.3 This test method has been used successfully with tap water. It is the user’s responsibility to ensure the validity of this test
method for samples larger than 1 L and for waters of untested matrices.
1.4 Technetium-99 alternatively can be determined in water samples using Practice D8026.
1.5 The values stated in SI units are to be regarded as standard. The values given in parentheses are provided for information only
and are not considered standard.
1.6 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility
of the user of this standard to establish appropriate safety safety, health, and healthenvironmental practices and determine the
applicability of regulatory limitations prior to use. For specific hazard statements, see Section 9.
1.7 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.
2. Referenced Documents
2.1 ASTM Standards:
D1129 Terminology Relating to Water
D1193 Specification for Reagent Water
D2777 Practice for Determination of Precision and Bias of Applicable Test Methods of Committee D19 on Water
D3370 Practices for Sampling Water from Flowing Process Streams
D4448 Guide for Sampling Ground-Water Monitoring Wells
D5847 Practice for Writing Quality Control Specifications for Standard Test Methods for Water Analysis
D6001 Guide for Direct-Push Groundwater Sampling for Environmental Site Characterization
This test method is under the jurisdiction of ASTM Committee D19 on Water and is the direct responsibility of Subcommittee D19.04 on Methods of Radiochemical
Analysis.
Current edition approved Nov. 1, 2016Dec. 15, 2021. Published November 2016December 2022. Originally published in 2005. Last previous edition published 20112016
ε1
as D7168 – 1116. . DOI: 10.1520/D7168-16.10.1520/D7168-21.
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
D7168 − 21
D7282 Practice for Setup, Calibration, and Quality Control of Instruments Used for Radioactivity Measurements
D7902 Terminology for Radiochemical Analyses
D8026 Practice for Determination of Tc-99 in Water by Inductively Coupled Plasma Mass Spectrometry (ICP-MS)
3. Terminology
3.1 Definitions:
3.1.1 For definitions of terms used in this standard, refer to Terminologies D7902 and D1129. For terms not defined in this test
method or in Terminologies D1129. or D7902, refer to other published glossaries.
4. Summary of Test Method
4.1 A measured aliquant of sample is transferred to a beaker. Hydrogen peroxide is added to facilitate the formation of the
extractable pertechnetate ion. The sample may be heated to oxidize organics if such are suspected to be present. The entire sample
is passed through a technetium-selective SPE disk onto which the pertechnetate is adsorbed. The disk is transferred to a liquid
scintillation vial, cocktail added, and the contents well mixed. The beta emission rate of the sample is determined by liquid
scintillation spectrometry. Chemical yield corrections are determined by the method of standard additions.
4.2 Minor differences in processing between Extraction Chromatographic Resin Discs and PTFE Membrane Disks are addressed
in Variations A and B of the test method.
5. Significance and Use
5.1 This test method has not been evaluated for all possible matrices. Test method suitability should be determined on specific
waters of interest.
6. Interferences
6.1 Suspended materials must be removed by filtration or centrifuging prior to processing the sample. Suspended particulate
matter in the sample will be physically trapped, in part or in whole, on or in the SPE extraction material. This may lead to potential
inclusion of radionuclide bearing solids or to signal quenching in the liquid scintillation measurement.
6.2 Technetium-99 activity in the sample may overwhelm the signal from the Tc spike addition and interfere with accurate
determination of chemical yield. Samples for which the unspiked sample count rate exceeds 50 % of the spiked sample If the
relative uncertainty of the chemical yield, neglecting the uncertainty of the counting efficiency, exceeds 10 % (that is, u ~ε¯ · Y!
r
.10 %count rate should be reprepared with an ), it can be reduced by increasing the count time or by re-preparing the sample with
appropriately adjusted aliquant and spike addition levels to minimize contributions to uncertainty in the determination of the
chemical yield.levels. See also the discussion of the quantitation range in Appendix X1.
6.3 Organic compounds present in significant quantities in the sample may degrade the extraction performance of the SPE disk
or may lead to elevated levels of quench during liquid scintillation analysis. After the addition of hydrogen peroxide, the sample
may be heated to destroy trace organic matter in the sample. If organic components are present in the sample which may survive
the peroxide digestion, these may be removed with an appropriate organic removal resin or disk (such as Amberchrom resin or
disk) prior to passing the sample through the extraction chromatographic resin disc.
6.4 The disk may retain tritium-labeled compounds. Setting the Tc counting window above the maximum energy for the tritium
beta particle will eliminate potential tritium interference.
–1 99
6.5 Elevated levels of nitrates (>10 000 mg L ) will interfere with uptake of Tc.
6.6 The higher energy region above the maximum energy for Tc should be monitored to help identify cases of significant actinide
interference.
American National Standard Glossary of Terms,” Nuclear Science and Technology (ANSI N1.1), American National Standards Institute, 1430 Broadway, New York, NY
10018.
Amberchrom is a trademark of the Dow Chemical Company, Midland, MI.
D7168 − 21
6.7 Elevated levels of radionuclides present in anionic form such as iodate, iron (III) and antimony may interfere with
measurement of technetium and lead to a positive bias in sample results. Significantly elevated levels of actinides (esp. Th decay
progeny of uranium) when present in the sample may cause a high bias in the reported Tc activity. Manufacturer specific
Manufacturer-specific recommendations about interferences should be taken into consideration when determining the applicability
of this test method for a given matrix.
7. Apparatus
7.1 Filtering Apparatus, 47-mm 47 mm diameter filter apparatus as recommended by the SPE manufacturer.
7.2 Liquid Scintillation Spectrometer, with multiple energy region of interest (ROI) capabilities.
7.3 Scintillation Vials, 20-mL vials, low potassium 20 mL vials, low-potassium glass or plastic, exhibiting suitable optical
reproducibility so as not to cause erratic results between samples.
8. Reagents and Materials
8.1 Purity of Reagents—Reagent grade chemicals shall be used in all tests. Unless otherwise indicated, it is intended that all
reagents shall conform to the specifications of the Committee on Analytical Reagents of the American Chemical Society, where
such specifications are available. Other grades may be used, provided that the reagent is of sufficiently high purity to permit its
use without increasing the background of the measurement. Some reagents, even those of high purity, may contain
naturally-occurring radioactivity, such as isotopes of uranium, radium, actinium, thorium, rare earths and potassium compounds,
or artificially produced radionuclides, or combination thereof. Consequently, when such reagents are used in the analysis of low
radioactivity samples, the activity of the reagents shall be determined under analytical conditions that are identical to those used
for the sample. The activity contributed by the reagents may be considered to be a component of background and applied as a
correction when calculating the test sample result. This increased background reduces the sensitivity of the measurement.
8.2 Purity of Water—Unless otherwise indicated, references to water shall be understood to mean reagent water conforming to
Specification D1193, Type III.
8.3 Radioactive Purity—Radioactive purity shall be such that the measured radioactivity of blank samples does not exceed the
calculated probable error of the measurement.
8.4 Technetium-Specific Solid Phase Extraction (SPE) Disks or Membranes—(Extraction Chromatographic Resin Discs or PTFE
5, 6
Membrane Disks ).
8.5 Hydrochloric Acid, 0.5M—0.5 M—Add 42 mL concentrated HCl to 400 mL of reagent water. Dilute to 1 L with water.
8.6 Nitric Acid, concentrated.
8.7 Hydrogen Peroxide, 30 %.
8.8 Technetium-99—as pertechnetate in water or dilute base solution, traceable to the SI through a national standards body (such
as NIST in the U.S.).metrology institute such as National Institute of Standards and Technology (NIST) or UK National Physical
Laboratory (NPL)
5, 7
8.9 Liquid Scintillation Cocktail—Commercially prepared LSC cocktail or equivalent.
The sole source of supply of the Eichrom TEVA (a trademark of Eichrom Industries) Discs known to the committee at this time is Eichrom Industries, Inc., Lisle, IL.
If you are aware of alternative suppliers, please provide this information to ASTM International Headquarters. Your comments will receive careful consideration at a meeting
of the responsible technical committee, which you may attend.
3M CDS Empore (a trademark of 3M Company, St. Paul, MN) Tc Rad Disks have been found satisfactory for this purpose.
Ultima Gold (a trademark of Perkin Elmer Life and Analytical Sciences, Shelton, CT) LLT has been found satisfactory for this purpose.
D7168 − 21
9. Hazards
9.1 Use extreme caution when handling all acids. They are extremely corrosive, and skin contact could result in severe burns.
9.2 When diluting concentrated acids, always use safety glasses and protective clothing, and add the acid to the water.
10. Sampling
10.1 Collect a sample in accordance with Practices D3370 or Guides D4448 or D6001.
11. Preservation
11.1 Preservation of samples being analyzed for Tc is not required.
11.1.1 Samples may be preserved by freezing. Allow samples to come to ambient temperature prior to processing.
11.1.2 Samples may be processed if they have been previously preserved to pH less than 2 with nitric or hydrochloric acid. It is
noted that high concentrations of nitric acid will adversely affect chemical yield. Although yield corrections will correct for losses,
better results may be obtained by using unpreserved samples.
12. Calibration
NOTE 1—See Practice D7282 for additional details on set-up, calibration, and quality control of liquid scintillation counters.
12.1 The fractional detection efficiency (ε(ε) ) is determined as outlined in subsequent steps.
Tc
12.1.1 Prepare triplicate working calibration source (WCS) adding at least 20 Bq (~540 pCi) of traceable Tc in the pertechnetate
form to each of three 100 mL portions of reagent water. Each of the three samples is processed using either test method variation
(A or B), as appropriate.
12.1.2 Collect the effluents from the three WCS.WCSs. Process the composited solution according to the test method to verify that
greater than 99 % of the technetium was retained by the SPE material in the calibration runs.
12.1.2.1 If analysis of the combined effluent indicates greater than 1%1 % breakthrough of Tc, the concentration of the WCS
activity should be corrected for the losses. If the breakthrough of Tc is greater than 5%,5 %, the cause for the losses should be
identified and new WCSWCSs prepared.
12.1.3 An analyte-free aliquant of 100 mL reagent water is also processed as a background subtraction count (BSC).
12.1.4 Count the three vials containing the WCS and the BSC in a liquid scintillation spectrometer for a time sufficient to amass
greater than 10 000 counts for each of the WCS.
12.1.5 Calculate the Tc Detection Efficiency (εdetection efficiency (ε) ) for each of the three vials:
Tc
R 2 R
g cb
ε 5 (1)
Tc
A
c
R 2 R
G CB
ε 5 (1)
A
C
where:
R = gross count rate of the vial in the Tc count window in counts per second,
g
R = count rate of the BSC associated with the efficiency measurement in the Tc count window in counts per second, and
cb
A = activity of standard Tc added to each vial (Bq).
c
R = gross count rate of the vial in the Tc count window in counts per second,
G
R = count rate of the BSC associated with the efficiency measurement in the Tc count window in counts per second, and
CB
A = activity of standard Tc added to each vial (Bq).
C
D7168 − 21
12.2 Calculate the average,average ε¯ , and the relative standard deviation, s (ε(ε), ), for the three efficiency values. The relative
Tc r Tc
standard deviation of these parameters is used to estimate the relative standard uncertainty of the average efficiency, u (ε ), as
¯
r Tc
follows:
s ε
~ !
r Tc
u εH 5Œ 1u A (2)
~ ! ~ !
r Tc r c
2 2
s ε ⁄ ε‾
~ !
u ~ε‾! 5Œ 1u ~A ! (2)
r r C
where:
u (A ) = relative standard uncertainty of the activity of standard Tc added to each vial.
r c
u (A ) = relative standard uncertainty of the activity of standard Tc added to each vial.
r C
12.3 A background subtraction count (BSC) vial consisting of reagent water shall be processed and analyzed with each batch of
samples to determine the background count rate in counts per second (R ) to be used for the calculation of sample results.
bB
13. Procedure
NOTE 2—To minimize the risk of cross-contamination while ensuring reproducibility between the sample and its spiked duplicate, each aliquant-spiked
aliquant pair should be run simultaneously and in parallel, using separate dedicated filtration apparatus.
NOTE 3—The sample aliquant is typically 1 L but depending on the activity present and the required detection limit for the analysis, this may vary from
0.1 to several litres.
NOTE 4—A background subtraction count (BSC) consisting of a vial, cocktail and blank disk is performed with each batch to determine the background
count rate to be subtracted from each measurement (R in Eq 3). If the BSC is to be reused, the user should determine its stability and shelf-life.
bB
13.1 Test Method Variation A—For use with Extraction Chromatographic Resin Discs:
13.1.1 For each sample and OCQC sample to be processed, transfer duplicate 1 L aliquants of sample to each of two beakers.
13.1.2 Acidify samples to pH 2 with nitric acid, if not done previously.
13.1.3 Add a known quantity (~20 Bq) of a traceable Tc solution to the second aliquant of the sample, which is labeled as the
spiked sample. (See 6.2 for comment on appropriate spiking level.)
13.1.4 Add 10 mL of 30 % H O to each sample while stirring.
2 2
13.1.5 If the presence of organic interferences is suspected, heat the sample on a hotplate at approximately 80°C80 °C for about
1 hour or until any visible reaction has subsided. Allow the sample to cool to ambient temperature before proceeding with
subsequent steps.
13.1.6 Using forceps, carefully position a disc on the filter stand. Secure the funnel reservoir over the disc.
13.1.7 Precondition the disc by allowing 25 mL of water to pass through the disc by gravity. Check the filter funnel for leaks.
13.1.8 Add the sample to the funnel reservoir and allow to pass through the disc by gravity flow (nominal flow rate should not
exceed ~100 mL/min). If needed, vacuum may be used to maintain adequate flow.
13.1.9 Rinse the disc with 25 mL of 0.5M 0.5 M HCl.
13.1.10 Rinse the disc with 100 mL of water.
13.1.11 Apply vacuum to the filtration apparatus to remove residual liquid from the disc.
13.1.12 Detach the reservoir from the filter apparatus.
D7168 − 21
13.1.13 Using forceps, remove and carefully roll the disc and transfer to a scintillation vial.
13.1.14 Add 15 mL of liquid scintillation cocktail.
13.1.15 Cap and shake the contents of the vial, to allow the disc to disintegrate. A vortex mixer may be used.
13.1.16 Count the sample test source (STS) in a liquid scintillation spectrometer using an optimized energy window within the
range of 20 to 292 keV for a period of time adequate to achieve the required detection limit.
13.2 Test Method Variation B—For use with PTFE Extraction Membranes:
13.2.1 For each sample and QC sample to be processed, transfer duplicate 1 L aliquants of sample to each of two beakers.
13.2.2 Add a known quantity (~20 Bq) of traceable Tc solution to the second aliquant of the sample which is labeled as the
spiked sample. (See 6.2 for comment on appropriate spiking level.)
13.2.3 Add 10 mL of 30 % H O to each sample while stirring.
2 2
13.2.4 If the presence of organic interferences is suspected, heat the sample on a hotplate at approximately 80°C80 °C for
approximately 1 hour or until any visible reaction has subsided. Allow the sample to cool to ambient temperature before proceeding
with subsequent steps.
13.2.5 Using forceps, carefully position a disk on the filter stand. Secure the funnel reservoir over the disk.
13.2.6 Connect the filtering apparatus to a vacuum source.
13.2.7 Pass the sample through the disk at a nominal flow rate of ~100 mL/min.
13.2.8 Rinse the disk with 25 mL of 0.5M 0.5 M HCl.
13.2.9 Rinse the disk with 100 mL of water.
13.2.10 Detach the reservoir from the filter apparatus.
13.2.11 Using forceps, remove and gently roll the disk and transfer to a scintillation vial.
13.2.12 Add 15 mL of liquid scintillation cocktail.
13.2.13 Cap and shake the contents of the vial to mix well. Inspect vial to ensure that the disk is completely immersed in cocktail.
13.2.14 Count the sample test source (STS) in a liquid scintillation spectrometer using an optimized energy window within the
range of 20 to 292 keV for a period of time adequate to achieve the required detection limit.measurement quality objectives (such
as a required detection limit or quantitation limit).
14. Calculations
14.1 Tc Activity Concentration(AC ) in Bq/L:
Tc
R 2 R
a b
AC 5 (3)
Tc
εH 3V 3Y
Tc a Tc
R 2 R
A B
AC 5 (3)
ε‾·V ·Y
A
where:
R = count rate of sample test source (STS) in counts per second,
a
R = count rate of the background subtraction count (BSC) in counts per second,
b
ε = average fractional detection efficiency,
¯
Tc
D7168 − 21
V = volume of the sample aliquant in litres, and
a
Y = fractional chemical yield from Eq 4.
Tc
R = count rate of sample test source (STS) in counts per second,
A
R = count rate of the background subtraction count (BSC) in counts per second,
B
ε = average fractional detection efficiency,
¯
V = volume of the sample aliquant in litres, and
A
Y = fractional chemical yield from Eq 4.
14.2 Fractional Chemical Yield (Y ):
Tc
R 2 R
~ !
spk a
Y 5 (4)
Tc
A 3εH
c Tc
R 2 R
S A
Y 5 (4)
ε‾·A
S
where:
R = gross count rate of the spiked sample aliquant in counts per second, and
spk
A = activity of Tc added to the spiked sample aliquant in becquerels (Bq).
c
R = gross count rate of the spiked sample aliquant in counts per second, and
S
A = activity of Tc added to the spiked sample aliquant in becquerels (Bq).
S
NOTE 5—Eq 4 above and the uncertainty equations below assume the volumes of the spiked and unspiked sample aliquants are the same.
14.3 The component of the combined standard uncertainty of the Tc activity concentration of the sample attributable due to
counting uncertainty,statistics, u (AC ), is given by:
cC Tc
R R
a b
Œ 1
t t
a b
u AC 5 (5)
~ !
cC Tc
εH 3V 3Y
Tc a Tc
1 AC·V R R
A A B
u ~AC!
5 11 1
cC FS D
ε‾·V ·Y A t t
A S A B
(5)
2 1⁄2
AC·V R
A S
S D G
A t
S A
where:
t = count duration of the STS in seconds, and
a
t = BSC count duration in seconds.
b
t = count duration of the STS in seconds, and
A
t = BSC count duration in seconds.
B
14.4 The relative standard uncertainty of the chemical yield yield, neglecting the uncertainty of the efficiency, ɛ¯, is given by:
R 1R /t
~ !
spk a a
2 2 2
u ~Y !5Œ 1u ~εH !1u ~A !1u ~…! (6)
r Tc 2 r Tc r c r
~R 2 R !
spk a
R 1R
S A
2 2 2
12~R 2 R ! u V 1u …
~ ~ ! ~ !!
A B r A r
t
A
u ~ε‾·Y!5 1u A (6)
! ~ !
r 2 r S
~R 2 R !
S A
Then the total combined standard uncertainty of the yield is given by:
2 2
=
u ~Y! 5 Y· u ~ε‾·Y!1u ~ε‾! (7)
c r r
where:
u (ε¯ ) = relative standard uncertainty of the average efficiency factor,
r Tc
u (A ) = relative standard uncertainty of spike added activity, and
r c
D7168 − 21
u = additional relative standard uncertainty associated with the chemical yield determination that has been determined (for
r,.
example, replicate reproducibility).
u (V ) = relative standard uncertainty of the sample (or
...








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