Equations Utilized In Conjunction With ISM02.0
May 13,2013
Introduction
This document provides details of equations used in the Contract Laboratory Program (CLP) Inorganic
Superfund Methods (ISM02.0) Statement of Work (SOW) utilizing values reported in the Staged
Electronic Data Deliverable (SEDD). The equations in the SOW use terminology relevant to the
particular analytical method, which may or may not be consistent with the terminology used in the SEDD
specification. This document defines the SOW equation variables in terms consistent with the location,
name, and meaning in the SEDD. Please note that these equations are only applicable to a SEDD Stage 3
file.
The formulas/calculations provided in this document were prepared based on "normal
laboratory practices ". Any deviations from these "normal laboratory practices " may
invalidate these formulas. All CLP contractors must follow their contract
requirements, including the ISM02.0 Statement of Work reporting requirements for
preparation of a fully compliant Electronic Data Deliverable.
For each analytical method in Exhibit D of the SOW (ICP-AES, ICP-MS, Mercury, and Cyanide), the
equations are reproduced in the following sections with the same equation number, title, and terms that
appear in the SOW. Following the equation, each variable is defined using terminology consistent with
the SEDD.
If the result of the equation is reported in the SEDD, this result is defined first by listing the parent node
and data element where the result is reported. For example, in EQ. 1 - ICV Percent Recovery in Exhibit
D - ICP-MS, "%R = Analyte/PercentRecovery" means the result of Equation 1 (ICV Percent Recovery) is
reported in the SEDD data element "PercentRecovery" under the "Analyte" node. Figure 1 at the end of
this document depicts the SEDD data node hierarchy for reference.
Next, each equation variable is listed in the order in which they appear in the equation and falls into one
of three categories: reported in the SEDD, calculated from another equation, or a constant. For example,
"Found (ICV) = Reported Analyte/IntermediateResult (|ig/L)" means that the variable "Found (ICV)" is a
value reported in the SEDD and located in the data element "IntermediateResult" under the "Analyte"
node with units of "|ig/L". The definition "SD = Standard Deviation from EQ. 3" means that the variable
"SD" is the result of equation "Standard Deviation" calculated in Equation 3. Constants are represented in
the example "WM = Minimum method required aliquot amount (1.00 g)" where "WM" is equivalent to
"1.00 g".
Some SOW equation variables are considered "intermediate results" in SEDD, which means that they are
results based on other equations using values reported in the SEDD. In these cases, sub-equations have
been included to derive these intermediate results for inclusion in the SOW equations. These sub-
equations are identified by the equation number of the "parent" equation in the SOW with a lowercase
letter appended to it (e.g., EQ. 13a, EQ. 13b, etc.). For example, EQ. 13 - Matrix Spike and Post-
Digestion Spike Percent Recovery in Exhibit D - ICP-MS defines the term "SA" as the "Expected
Concentration from EQ. 13a for Aqueous/Water samples (|ig/L). or EQ. 13b for soil/sediment samples
(mg/kg)." The SOW does not specify how to calculate the Expected Result using values reported in the
SEDD; therefore, EQ. 13a and 13b are added showing how this result is derived.
ISM02.0 Equations
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Exhibit D - ICP-AES
Equations for Exhibit D - ICP-AES
EQ. 1 ICV Percent Recovery
%R = Foutld ('Cv) x i op
where,
where,
where,
True (ICV)
%R = Analyte/PercentRecovery.
Found (ICV) = Reported Analyte/Result (fig/L).
True (ICV) = Reported Analyte/ExpectedResult (fig/L).
EQ. 2 Percent Relative Standard Deviation
SD
%RSD = = xl00
X
%RSD = Peak/PercentRSD.
SD = Standard Deviation from EQ. 3.
X = Mean Value from EQ. 4.
EQ. 3 Standard Deviation
SD =
0.-1)
x, = Reported PeakReplicate/Response.
x = Mean Peak Replicate Response from EQ. 4.
n = Number of reported Peak Replicate Responses.
EQ. 4 Mean Value
n
_ zx.
—
n
where,
ISM02.0 Equations
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Exhibit D - ICP-AES
X = Peak/Response.
X = Reported PeakReplicate/Response.
n = Number of reported Peak Replicate Responses.
EQ. 5 CCV Percent Recovery
R = -
True (CCV)
where,
%R=F°Und(CCV)xlOO
%R = Analyte/PercentRecovery.
Found (CCV) = Reported Analyte/Result (fig/L).
True (CCV) = Reported Analyte/ExpectedResult (fig/L).
EQ. 6 Aqueous/Water and TCLP/SPLP Leachate Sample Concentration
Vf
Concentration (|_ig/L) = C x x DF
where,
Concentration = Analyte/Result.
C = Reported Analyte/Intermediate Result (fig/L).
Vf = Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
V = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (mL).
DF = Reported Analysis/DilutionFactor.
Note: Convert units to mg/L for Leachates by dividing the final calculated concentration by 1000.
EQ. 7 Soil/Sediment Sample Concentration
Vf
Concentration (mg/kg dry weight) = C x ^ x DF /1000
where,
Concentration = Analyte/Result.
C = Reported Analyte/Intermediate Result (fig/L).
Vf = Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
ISM02.0 Equations
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Exhibit D - ICP-AES
W = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
S = (Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
DF = Reported Analysis/DilutionFactor.
EQ. 8 Wipe Mass
Mass (ng) = C x Vf x DF /1000
where,
Mass = Analyte/Result.
C = Reported Analyte/Intermediate Result (fig/L).
Vf = Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
DF = Reported Analysis/DilutionFactor.
EQ. 9
Adjusted Soil/Sediment CRQL
W V,
Adjusted CRQL (mg/kg dry weight) = C x -—— x —— x DF
where,
WxS V,
Adjusted CRQL
C
WM
w
Vf
VM
DF
M
= ReportedResult/QuantitationLimit.
= Reported ReportedResult/ClientQuantitationLimit (mg/kg).
= Minimum method required aliquot amount (1.00 g).
= Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
= (Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
= Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
= Method required final sample digestion volume (100 mL or
50 mL).
= Reported Analysis/DilutionFactor.
ISM02.0 Equations
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Exhibit D - ICP-AES
EQ. 9a Adjusted Aqueous/Water CRQL
where,
where,
where,
where,
Adjusted CRQL (|~ig/L) = C x x DF
Adjusted CRQL = ReportedResult/QuantitationLimit.
C = Reported ReportedResult/ClientQuantitationLimit ((.ig/L).
Vf = Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
V = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (mL).
DF = Reported Analysis/DilutionFactor.
EQ. 10 Calculation of Hardness (Total) in Aqueous/Water Samples
Hardness (mg/L) = [Cone. Ca (mg/L) x 2.497] + [Cone. Mg (mg/L) x 4.118]
Hardness = ReportedResult/Result for Hardness (mg/L).
Cone. Ca = ReportedResult/Result for Calcium (j^ig/L) 1000 (mg/L).
Cone. Mg = ReportedResult/Result for Magnesium (^g/L) 1000
(mg/L).
EQ. 11 ICSA Percent Recovery
t =
True (ICSA)
%R = Found(ICSA)xl00
%R = Analyte/PercentRecovery.
Found (ICSA) = Reported Analyte/Result (fig/L).
True (ICSA) = Reported Analyte/ExpectedResult (fig/L).
EQ. 12 ICSAB Percent Recovery
" True (ICSAB)
%R = Found('CSAB) x lop
%R = Analyte/PercentRecovery.
Found (ICSAB) = Reported Analyte/Result (fig/L).
ISM02.0 Equations
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Exhibit D - ICP-AES
True (ICSAB) = Reported Analyte/ExpectedResult (|ig/L).
EQ. 13
Matrix Spike and Post-Digestion Spike Percent Recovery
where,
%r = ssr-srx100
SA
%R = ReportedResult/PercentRecovery.
SSR = The Concentration value from EQ. 6 or 7 from the spike
sample (|ig/L or mg/kg).
SR = The Concentration value from EQ. 6 or 7 from the original
sample (|ig/L or mg/kg). If the sample concentration is less
than ReportedResult/DetectionLimit, SR=0.
SA = The Expected Concentration from EQ. 13a for
Aqueous/Water samples (|ig/L). or EQ. 13b for soil/sediment
samples (mg/kg).
EQ. 13a
Expected Concentration for Aqueous/Water Samples
where,
Vf
Expected Concentration (|~ig/L) = C x
C = Reported Analyte/StandardConcentration (fig/L).
Vf = Reported Analyte/AmountAdded (|iL).
V = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (mL).
EQ. 13b
Expected Concentration for Soil/Sediment Samples
where,
Expected Concentration (mg/kg) = C x
V,
WxS
-/1000
C = Reported Analyte/StandardConcentration (fig/L).
Vf = Reported Analyte/AmountAdded (|iL).
W = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
S = (Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
ISM02.0 Equations
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Exhibit D - ICP-AES
EQ. 14 Duplicate Sample Relative Percent Difference
I S-DI
RPD = -J r-!—xlOO
(S + D)/2
where,
where,
where,
RPD = ReportedResult/RPD.
S = Original Sample Result from EQ.6 or 7.
D = Duplicate Sample Result from EQ. 6 or 7.
EQ. 15 LCS Percent Recovery
oR = -
True (LCS)
%R = F0U"d(LCS) xlOO
%R = ReportedResult/PercentRecovery.
Found (LCS) = Sample Concentration from EQ. 6, 7, or 8 (|ig/L. mg/kg, or
l_ig). If the sample concentration is less than ReportedResult/
DetectionLimit, Found (LCS) = 0.
True (LCS) = (Adjusted CRQL from EQ. 9 or 9a) X 2 (|ig/L. mg/kg, or
Mg)-
EQ. 16 Serial Dilution Percent Difference
I-S
%Difference = x 100
I
%Difference = ReportedResult/PercentDifference.
I = Initial Sample Result from EQ.6 or 7.
Serial Dilution Result from EQ. 6 or 7. If the sample
concentration is less than ReportedResult/DetectionLimit, S
= 0.
ISM02.0 Equations
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Exhibit D - ICP-MS
Equations for Exhibit D - ICP-MS
EQ. 1 ICV Percent Recovery
%R = Foutld ('Cv) x i op
where,
where,
where,
True (ICV)
%R = Analyte/PercentRecovery.
Found (ICV) = Reported Analyte/Result (fig/L).
True (ICV) = Reported Analyte/ExpectedResult (fig/L).
EQ. 2 Percent Relative Standard Deviation
SD
%RSD = ^xl00
X
%RSD = Peak/PercentRSD.
SD = Standard Deviation from EQ. 3.
X = Mean Value from EQ. 4.
EQ. 3 Standard Deviation
SD =
(n-l)
x, = Reported PeakReplicate/Response.
x = Mean Peak Replicate Response from EQ. 4.
n = Number of reported Peak Replicate Responses.
EQ. 4 Mean Value
n
_ Ex,
—
n
where,
ISM02.0 Equations
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Exhibit D - ICP-MS
where,
where,
where,
X = Peak/Response.
X = Reported PeakReplicate/Response.
n = Number of reported Peak Replicate Responses.
EQ. 5 CCV Percent Recovery
R = -
True (CCV)
%R = Found(CCy)x1o0
%R = Analyte/PercentRecovery.
Found (CCV) = Reported Analyte/Result (fig/L).
True (CCV) = Reported Analyte/ExpectedResult (|ig/L).
EQ. 6 Aqueous/Water Sample Concentration
Vf
Concentration (|_ig/L) = C x x DF
Concentration = Analyte/Result.
C = Reported Analyte/IntermediateResult (|ig/L).
Vf = Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
V = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (mL).
DF = Reported Analysis/DilutionFactor.
EQ. 7 Soil/Sediment Sample Concentration
Vf
Concentration (mg/kg dry weight) = C x ^ x DF /1000
Concentration = Analyte/Result.
C = Reported Analyte/IntermediateResult (|ig/L).
Vf = Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
W = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
ISM02.0 Equations
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Exhibit D - ICP-MS
S = (Charactcristic/CharactcristicValuc ^ 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
DF = Reported Analysis/DilutionFactor.
EQ. 8
Adjusted Soil/Sediment CRQL
W,
V,
Adjusted CRQL (mg/kg) = C x — x —— x DF
WxS V,
where,
Adjusted CRQL
C
WM
w
Vf
VM
DF
M
ReportedResult/QuantitationLimit.
Reported ReportedResult/ClientQuantitationLimit (mg/kg).
Minimum method required aliquot amount (1.00 g).
Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
(Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
Method required final sample digestion volume (100 mL).
Reported Analysis/DilutionFactor.
EQ. 8a Adjusted Aqueous/Water CRQL
Adjusted CRQL(|J,g/L) =Cx-^-xDF
where,
Adjusted CRQL = ReportedResult/QuantitationLimit.
C = Reported ReportedResult/ClientQuantitationLimit ((.ig/L).
Vf = Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
V = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (mL).
DF = Reported Analysis/DilutionFactor.
ISM02.0 Equations
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Exhibit D - ICP-MS
EQ. 9
ICSA Percent Recovery
where,
EQ. 10
where,
EQ. 11
where,
%R=F°Und('CSA)xl00
True (ICSA)
%R = Analyte/PercentRecovery.
Found (ICSA) = Reported Analyte/Result (|ig/L).
True (ICSA) = Reported Analyte/ExpectedResult (fig/L).
ICSAB Percent Recovery
%R= Found('CSAB)xiQ0
True (ICSAB)
%R = Analyte/PercentRecovery.
Found (ICSAB) = Reported Analyte/Result (fig/L).
True (ICSAB) = Reported Analyte/ExpectedResult (|ig/L).
Matrix Spike and Post-Digestion Spike Percent Recovery
%r = ssr-srx100
SA
%R = ReportedResult/PercentRecovery.
SSR = The Concentration value from EQ. 6 or 7 from the spike
sample (|ig/L or mg/kg).
SR = The Concentration value from EQ. 6 or 7 from the original
sample (|ig/L or mg/kg). If the sample concentration is less
than ReportedResult/DetectionLimit, SR=0.
SA = Expected Concentration from EQ. 11a for Aqueous/Water
samples (fig/L), or EQ. 1 lb for soil/sediment samples
(mg/kg).
EQ. 11a
where,
Expected Concentration for Aqueous/Water Samples
Vf
Expected Concentration (|~ig/L) = C x
C = Reported Analyte/StandardConcentration (fig/L).
ISM02.0 Equations
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Exhibit D - ICP-MS
Vf = Reported Analyte/AmountAdded (|iL).
V = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (mL).
EQ. lib Expected Concentration for Soil/Sediment Samples
Vf
Expected Concentration(mg/kg) = C x /1000
where,
C = Reported Analyte/StandardConcentration (fig/L).
Vf = Reported Analyte/AmountAdded (|iL).
W = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
S = (Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
EQ. 12 Duplicate Sample Relative Percent Difference
I S-DI
RPD = -J r-!—xlOO
(S + D)/2
where,
RPD = ReportedResult/RPD.
S = Original Sample Result from EQ.6 or 7.
D = Duplicate Sample Result from EQ. 6 or 7.
EQ. 13
LCS Percent Recovery
where,
%R = F0U"d(LCS) xlOO
True (LCS)
%R = ReportedResult/PercentRecovery.
Found (LCS) = Sample Concentration from EQ. 6 or 7 (|ig/L or mg/kg). If
the sample concentration is less than ReportedResult/
DetectionLimit, Found (LCS) = 0.
True (LCS) = (Adjusted CRQL from EQ. 8 or 8a) x 2 (|ig/L or mg/kg).
ISM02.0 Equations
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Exhibit D - ICP-MS
EQ. 14 Serial Dilution Percent Difference
where,
where,
I-S
%Difference = x 100
%Difference = ReportedResult/PercentDifference.
I = Initial Sample Result from EQ.6 or 7.
S = Serial Dilution Result from EQ. 6 or 7. If the sample
concentration is less than ReportedResult/DetectionLimit, S
= 0.
EQ. 15 Percent Relative Intensity
%RI = —xlOO
In
%RI = Peak/PercentRatio.
In = Reported Peak/Response of the internal standard in the
sample.
I0 = Reported Peak/Response of the internal standard in the
calibration blank (SO).
ISM02.0 Equations
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Exhibit D - Mercury
Equations for Exhibit D - Mercury
EQ. 1 ICV Percent Recovery
3R = -
True (ICV)
where,
%R = Found(ICy)xl00
%R = Analyte/PercentRecovery.
Found (ICV) = Reported Analyte/Result (fig/L).
True (ICV) = Reported Analyte/ExpectedResult (fig/L).
EQ. 2 CCV Percent Recovery
R = -
True (CCV)
where,
%R = Found(CCy)x1o0
%R = Analyte/PercentRecovery.
Found (CCV) = Reported Analyte/Result (|ig/L).
True (CCV) = Reported Analyte/ExpectedResult (|ig/L).
EQ. 3 Aqueous/Water and TCLP/SPLP Leachate Sample Concentration
Hg Concentration (|J,g/L) = C x DF
where,
Hg Concentration = Analyte/Result.
C = Reported Analyte/IntermediateResult (|ig/L).
DF = Reported Analysis/DilutionFactor.
Note: Convert units to mg/L for Leachates by dividing the final calculated concentration by 1000.
EQ. 4 Soil/Sediment Sample Concentration
Hg Concentration (mg/kg dry weight) = C x ^ x DF x 0.1
where,
Hg Concentration = Analyte/Result.
C = Reported Analyte/IntermediateResult (|ig/L).
ISM02.0 Equations
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Exhibit D - Mercury
W = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
S = (Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
DF = Reported Analysis/DilutionFactor.
EQ. 5
Adjusted Soil/Sediment CRQL
Adjusted CRQL (mg/kg) = C x
W
WxS
xDF
where,
Adjusted CRQL = ReportedResult/QuantitationLimit.
= Reported ReportedResult/ClientQuantitationLimit (mg/kg).
= Minimum method required aliquot amount (0.50 g).
C
wm
w
= Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
S = (Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
DF = Reported Analysis/DilutionFactor.
EQ. 5a Adjusted Aqueous/Water CRQL
Adjusted CRQL (|~ig/L) = C x DF
where,
Adjusted CRQL = ReportedResult/QuantitationLimit.
C = Reported ReportedResult/ClientQuantitationLimit ((.ig/L).
DF = Reported Analysis/DilutionFactor.
EQ. 6 Matrix Spike Percent Recovery
%r = ssr-srx100
SA
where,
%R = ReportedResult/PercentRecovery.
ISM02.0 Equations
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Exhibit D - Mercury
SSR = The Concentration value from EQ. 3 or 4 from the spike
sample (|ig/L or mg/kg).
SR = The Concentration value from EQ. 3 or 4 from the original
sample (|ig/L or mg/kg). If the sample concentration is less
than ReportedResult/DetectionLimit, SR=0.
SA = Expected Concentration from EQ. 6a for Aqueous/Water
samples (|ig/L). or EQ. 6b for soil/sediment samples
(mg/kg).
EQ. 6a Expected Concentration for Aqueous/Water Samples
V,
where,
where,
where,
Expected Concentration (|~ig/L) = C x
1000
C = Reported Analyte/StandardConcentration (fig/L).
Vf = Reported Analyte/AmountAdded (|iL).
EQ. 6b Expected Concentration for Soil/Sediment Samples
Vp
Expected Concentration (mg/kg) = C x ^ /100000
C = Reported Analyte/StandardConcentration (fig/L).
Vf = Reported Analyte/AmountAdded (|iL).
W = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
S = (Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
EQ. 7 Duplicate Sample Relative Percent Difference
I S-DI
RPD = -J r-!—xlOO
(S + D)/2
RPD = ReportedResult/RPD.
S = Original Sample Result from EQ.3 or 4.
D = Duplicate Sample Result from EQ. 3 or 4.
ISM02.0 Equations
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Exhibit D - Cyanide
Equations for Exhibit D - Cyanide
EQ. 1 ICV Percent Recovery
3R = -
True (ICV)
where,
%R = Found(ICy)xl00
%R = Analyte/PercentRecovery.
Found (ICV) = Reported Analyte/Result (fig/L).
True (ICV) = Reported Analyte/ExpectedResult (fig/L).
EQ. 2 CCV Percent Recovery
R = -
True (CCV)
where,
%R = Found(CCy)x1o0
%R = Analyte/PercentRecovery.
Found (CCV) = Reported Analyte/Result (|ig/L).
True (CCV) = Reported Analyte/ExpectedResult (|ig/L).
EQ. 3 Aqueous/Water and SPLP Leachate Sample Concentration
V,
CN Concentration (|~ig/L) = C x x DF
where,
Concentration = Analyte/Result.
C = Reported Analyte/IntermediateResult (|ig/L).
Vf = Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
V = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (mL).
DF = Reported Analysis/DilutionFactor.
EQ. 4 Soil/Sediment Sample Concentration
V-
CN Concentration (mg/kg dry weight) = C x —-— x (1 /1000) x DF
WxS
ISM02.0 Equations
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Exhibit D - Cyanide
where,
Concentration = Analyte/Result.
C = Reported Analyte/IntermediateResult (|ig/L).
Vf = Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
W = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
S = (Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
DF = Reported Analysis/DilutionFactor.
EQ. 5 Adjusted Soil/Sediment CRQL
W
Adjusted CRQL (mg/kg) = C x ^ x DF
where,
where,
Adjusted CRQL = ReportedResult/QuantitationLimit.
C = Reported ReportedResult/ClientQuantitationLimit (mg/kg).
WM = If PreparationPlusCleanup/ClientMethodID = "Midi-
distillation", WM= 1.00 g. If PreparationPlusCleanup/
ClientMethodID = "Micro-distillation", WM = 0.50 g.
W = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
S = (Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
"Percent Solids". Default to 1 for Performance Evaluation
samples.
DF = Reported Analysis/DilutionFactor.
EQ. 5a Adjusted Aqueous/Water CRQL
Adjusted CRQL(|_ig/L) =Cx-^-xDF
Adjusted CRQL = ReportedResult/QuantitationLimit.
C = Reported ReportedResult/ClientQuantitationLimit ((.ig/L).
Vf = Reported PreparationPlusCleanup/FinalAmount from the
preparation node (mL).
ISM02.0 Equations
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Exhibit D - Cyanide
where,
where,
where,
V = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (mL).
DF = Reported Analysis/DilutionFactor.
EQ. 6 Matrix Spike and Post-Distillation Spike Percent Recovery
%R = SSR ~SR xl00
SA
%R = ReportedResult/PercentRecovery.
SSR = The Concentration value from EQ. 3 or 4 from the spike
sample (|ig/L or mg/kg).
SR = The Concentration value from EQ. 3 or 4 from the original
sample (fig/L or mg/kg). If the sample concentration is less
than ReportedResult/DetectionLimit, SR=0.
SA = Expected Concentration from EQ. 6a for Aqueous/Water
samples (|ig/L). or EQ. 6b for soil/sediment samples
(mg/kg).
EQ. 6a Expected Concentration for Aqueous/Water Samples
Vf
Expected Concentration (|~ig/L) = C x
C = Reported Analyte/StandardConcentration (fig/L).
Vf = Reported Analyte/AmountAdded (|iL).
V = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (mL).
EQ. 6b Expected Concentration for Soil/Sediment Samples
Vf
Expected Concentration (mg/kg) = C x /1000
C = Reported Analyte/StandardConcentration (fig/L).
Vf = Reported Analyte/AmountAdded (|iL).
W = Reported PreparationPlusCleanup/AliquotAmount from the
preparation node (g).
S = (Characteristic/CharacteristicValue 100) from the
Characteristic node with Characteristic/CharacteristicType =
ISM02.0 Equations
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Exhibit D - Cyanide
"Percent Solids". Default to 1 for Performance Evaluation
samples.
EQ. 7 Duplicate Sample Relative Percent Difference
I S-DI
RPD = -J xlOO
(S + D)/2
where,
RPD = ReportedResult/RPD.
S = Original Sample Result from EQ.3 or 4.
D = Duplicate Sample Result from EQ. 3 or 4.
ISM02.0 Equations
20
May 2013
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Figures
Figure 1: SEDD Stage 3 Data Node Hierarchy
Header
Sample Plus
Method
Contact
Information
Characteristic
Analysi
Reported
Result
Preparation
Plus Cleanup
Analyte
Analyte Group
f
\
Handling
J
r
N
Characteristic
J
Analysis
Group
1
Analyte
Analyte Group
Characteristic
Peak
£
Analyte
Comparison
Peak
Comparison
Peak Replicate
f
Peak
Instrument
QC
X
Analysis
Group
Analysis
Analyte
Preparation
Plus Cleanup
Analyte
Analyte Group
Peak
Peak
f
f
1
Analyte
Comparison
Peak
Comparison
Analyte
Comparison
Peak
Comparison
Peak Replicate
ISM02.0 Equations
21
May 2013
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