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The Potency Determination of 15
Cannabinoids using the Hemp Analyzer
Shimadzu Scientific Instruments, Columbia, MD
Introduction
According to a 2020 Grand View Research report1, the industrial hemp market is
expected to exceed 15 billion USD by 2027. This accounts for all segments of the
market, including application of the product in pharmaceuticals, medicinal and
therapeutic products, skin care products, and fiber/textiles. This growth, and the
confidence in hemp products, will require applicable testing to ensure product quality
and safety. Chromatography technology will play a large role in this as the technique is
used for potency testing in support of manufacturing operations and the associated
clinical science. Hemp is available in numerous forms, from dry flower to concentrated
oils, and contains over one hundred cannabinoids, making the development of rugged,
quantitatively accurate methods a challenge.
This study optimizes a quantitative chromatographic determination of 15 cannabinoids
using the Shimadzu Hemp Analyzer.
Experiment and Method
For this study a Shimadzu Hemp Analyzer – an integrated HPLC system with built-in
UV detector – was used. Table 1 shows the instrument and method parameters
summary. To create a 100.0 µg/mL mixture consisting of 15 components mixture. A
mixture of 11 cannabinoids (CRM; PN: 220-91239-21) was supplemented with four
additional cannabinoid standards (Cerilliant).
Item Description
HPLC System Hemp Analyzer
Detector UV-Vis
Wavelength Monitored (nm) 220
Mobile Phase A 0.085% Phosphoric Acid in Water
Mobile Phase B 0.085% Phosphoric Acid in Acetonitrile
Gradient Program 70% B for 3 min; 70%-85% B over 6 min; 85%-95% B over 0.01 min;
95% B for 0.99 min; 95%-70% B over 0.01 min; 70% B for 4.99 min
Column NexLeaf CBX for Potency, 2.7 um, 4.6 x 150 mm column, 220-91525-70
Guard column NexLeaf CBXGaurd Column Cartridge, 220-91525-72
Flowrate (mL/min) 1.6
Oven Temperature (°C) 35
Injection Volume (µL) 5
Table 1: Summary of method and instrument parameters
Table 2 shows a list of initial concentrations for each standard. Quality Control (QC)
standards were prepared using the same method as the calibration standards.
Table 2: Initial concentrations for the 15 cannabinoids prior to mixture
preparation
No. Standard Compounds Stock Conc.
(mg/L)
1 Shimadzu CBDV 250
2 Shimadzu CBDA 250
3 Shimadzu CBGA 250
4 Shimadzu CBG 250
5 Shimadzu CBD 250
6 Shimadzu THCV 250
7 Shimadzu CBN 250
8 Shimadzu d9-THC 250
9 Shimadzu d8-THC 250
10 Shimadzu CBC 250
11 Shimadzu THCA 250
12 Cerilliant CBDVA 1000
13 Cerilliant THCVA 1000
14 Cerilliant CBL 1000
15 Cerilliant CBCA 1000
Experiment and Method
Results and Discussion
A six-point calibration curve ranging from 0.5 to 100 µg/mL and three Quality Control
(QC) standards, 2.5 µg/mL, 25 µg/mL and 75 µg/mL, were prepared. Calibration curves
and QC standards were evaluated using seven replicate injections and evaluating the
correlation coefficient (R2) of the linear regression. All calibration curves passed the
high-sensitivity method criteria (R2≥0.999).
Figure 1 shows the calibration curves for the 15 target cannabinoids. A best-fit
weighting method (1/C) was selected for the linear regression for calibration curve
quantitation. The statistical results were processed via Browser in LabSolutions
Database, version 6.83; results are shown in table 3.
Figure 1: Standard curves
for 15 cannabinoids
CBDVA CBDV CBDA CBGA
CBG CBD THCV THCVA
CBN d9-THC d8-THC CBL
CBC THCA CBCA
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
1.50
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
1.50
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
1.50
1.75
2.00
2.25
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
Area(x1,000,000)
0 50 Conc.
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
Area(x1,000,000)
0 50 Conc.
0.00
0.25
0.50
0.75
1.00
1.25
Area(x1,000,000)
0 50 Conc.
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
Area(x100,000)
R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9998
R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9998
R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9997
R2=0.9998 R2=0.9998 R2=0.9993
Results and Discussion
Table 3: Statistical analysis of 6-point calibration curve with seven replicates for
calibration standards and quality control (QC) standards for the 15-cannabinoid
mixture
Results and Discussion
No. Compound Calibration Results 2.5 ppm (QC Low) 25.0 ppm (QC Medium) 75.0 ppm (QC High)
RF RSD
(%)
R2 Mean
Conc.
RSD
(%)
Accuracy
(%)
Mean
Conc.
RSD
(%)
Accuracy
(%)
Mean
Conc.
RSD
(%)
Accuracy
(%)
1 CBDVA 3.950 0.9998 2.62 1.265 104.6 25.38 0.206 101.5 77.18 0.665 102.9
2 CBDV 5.002 0.9998 2.63 1.031 105.4 25.74 0.235 102.9 77.83 0.577 103.8
3 CBDA 4.320 0.9998 2.62 1.150 103.6 25.45 0.233 101.8 77.17 0.699 102.9
4 CBGA 4.372 0.9998 2.59 0.904 101.7 25.44 0.137 101.8 76.81 0.668 102.4
5 CBG 6.721 0.9998 2.54 0.708 98.4 25.49 0.201 102.0 78.06 0.616 104.1
6 CBD 4.637 0.9998 2.46 0.689 100.4 25.45 0.250 101.8 78.20 0.742 104.3
7 THCV 4.836 0.9998 2.51 0.766 105.1 25.50 0.198 102.0 77.82 0.512 103.8
8 THCVA 3.557 0.9998 2.63 0.772 105.1 25.50 0.287 102.0 76.38 0.783 101.8
9 CBN 3.587 0.9998 2.63 0.603 98.5 25.41 0.226 101.6 77.83 0.659 103.8
10 d9-THC 9.869 0.9998 2.46 5.300 100.0 25.82 0.383 103.3 77.96 0.531 103.9
11 d8-THC 6.941 0.9998 2.50 5.455 108.3 25.85 0.493 103.4 77.88 0.741 103.8
12 CBL 6.867 0.9997 2.71 2.585 108.3 25.85 0.532 103.4 77.68 0.631 103.6
13 CBC 9.092 0.9998 2.60 2.838 104.0 25.48 0.370 101.9 77.97 0.629 104.0
14 THCA 9.222 0.9998 2.70 3.609 107.9 25.55 0.359 102.2 76.57 0.699 102.1
15 CBCA 38.577 0.9993 2.28 13.645 91.0 25.78 3.193 103.1 75.69 2.017 100.9
Results and Discussion
For the noise/drift calculations as well as detection limit and quantitation limit (Table 4),
we selected a specified range from 1.20 min to 2.20 min using the ASTM calculation
method. Limits of Detection (LOD) and Quantitation (LOQ) of 3.3 and 10.0 were
selected, respectively. LOD and LOQ are terms used to describe the smallest
concentration of an analyte that can be reliably measured by an analytical procedure.
Table 4: Detection limit and quantitative limit for 15 components at 0.5 µg/mL
ID# Name S/N
Detection
Limit (LOD)
Quantitative
Limit (LOQ)
1 CBDVA 13.68 0.12 0.37
2 CBDV 12.60 0.13 0.39
3 CBDA 10.95 0.15 0.45
4 CBGA 11.09 0.15 0.46
5 CBG 9.83 0.18 0.54
6 CBD 8.70 0.20 0.60
7 THCV 8.22 0.20 0.62
8 THCVA 9.85 0.17 0.51
9 CBN 16.13 0.10 0.31
10 d9-THC 10.58 0.15 0.47
11 d8-THC 7.56 0.23 0.70
12 CBL 10.23 0.16 0.49
13 CBC 9.73 0.18 0.53
14 THCA 8.34 0.18 0.56
15 CBCA 3.39 0.72 2.18
Results and Discussion
By using the signal-to-noise method, the peak-to-peak noise around the analyte
retention time was measured. A signal-to-noise ratio (S/N) of three is generally
accepted for estimating LOD and signal-to-noise ratio of ten is used for estimating
LOQ. This method is commonly applied to analytical chromatographic methods.2&3
Figure 2 shows a representative chromatogram for three QC standards. Figure 3
illustrates an overlaid chromatogram of seven injections at 100 ppm for the 15-
cannabinoid mixture.
Figure 2: A representative chromatogram showing quality control standards. A 5 µL of (A) QC high,
(B) QC medium and (C) QC low
Results and Discussion
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 min
0
50
100
150
200
250
300
350
mV
Detector A 220nmDetector A 220nm
CBDVA
CBDV
CBDA
CBGA
CBG
CBD
THCV
THCVA
CBN
d9-THC
d8-THC
CBL
CBC
THCA
CBCA
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 min
0
25
50
75
100
125
mV
Detector A 220nmDetector A 220nm
CBDVA
CBDV
CBDA
CBGA
CBG
CBD
THCV
THCVA
CBN
d9-THC
d8-THC
CBL
CBC
THCA
CBCA
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 min
-5
0
5
10
15
20
25
30
35
mV
Detector A 220nmDetector A 220nm
CBDVA
CBDV
CBDA
CBGA
CBG
CBD
THCV
THCVA
CBN
d9-THC
d8-THC
CBL
CBC
THCA
CBCA
(B)
(C)
(A)
Results and Discussion
Figure 3: The 15-cannabinoid mixture - Overlay of seven injections (5 µL injection at 100 ppm)
Conclusion
In response to the increasing demand for development of chromatography
techniques in potency testing of hemp and hemp, we developed a method that
builds on the existing High Sensitivity Method using the Shimadzu Hemp Analyzer,
optimized for the quantitative determination of 15 major cannabinoids. The
statistical results document rigorous testing for retention time and peak area
repeatability, quantitative accuracy and sensitivity.
References
1. https://www.grandviewresearch.com/press-release/global-industrial-hemp-market
2. D.A. Armbruster, M.D. Tillman and L.M. Hubbs. Limit of detection (LQD)/limit of quantitation (LOQ): comparison
of the empirical and the statistical methods exemplified with GC-MS assays of abused drugs. Clinical Chemistry.
1994; 40(1): 1233-8.
3. Shrivastava and V.B. Gupta. Methods for the determination of limit of detection and limit of quantitation of the
analytical methods. Review Article. 2011; 2(1): 21-5.
Need More Info?
Thank you for viewing this presentation. Should you have any
questions or require additional information about our research,
products, or services, please visit our Web site at:
www.ssi.shimadzu.com
Follow us on Twitter @shimadzussi

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The Potency Determination of 15 Cannabinoids using the Hemp Analyzer

  • 1. The Potency Determination of 15 Cannabinoids using the Hemp Analyzer Shimadzu Scientific Instruments, Columbia, MD
  • 2. Introduction According to a 2020 Grand View Research report1, the industrial hemp market is expected to exceed 15 billion USD by 2027. This accounts for all segments of the market, including application of the product in pharmaceuticals, medicinal and therapeutic products, skin care products, and fiber/textiles. This growth, and the confidence in hemp products, will require applicable testing to ensure product quality and safety. Chromatography technology will play a large role in this as the technique is used for potency testing in support of manufacturing operations and the associated clinical science. Hemp is available in numerous forms, from dry flower to concentrated oils, and contains over one hundred cannabinoids, making the development of rugged, quantitatively accurate methods a challenge. This study optimizes a quantitative chromatographic determination of 15 cannabinoids using the Shimadzu Hemp Analyzer.
  • 3. Experiment and Method For this study a Shimadzu Hemp Analyzer – an integrated HPLC system with built-in UV detector – was used. Table 1 shows the instrument and method parameters summary. To create a 100.0 µg/mL mixture consisting of 15 components mixture. A mixture of 11 cannabinoids (CRM; PN: 220-91239-21) was supplemented with four additional cannabinoid standards (Cerilliant). Item Description HPLC System Hemp Analyzer Detector UV-Vis Wavelength Monitored (nm) 220 Mobile Phase A 0.085% Phosphoric Acid in Water Mobile Phase B 0.085% Phosphoric Acid in Acetonitrile Gradient Program 70% B for 3 min; 70%-85% B over 6 min; 85%-95% B over 0.01 min; 95% B for 0.99 min; 95%-70% B over 0.01 min; 70% B for 4.99 min Column NexLeaf CBX for Potency, 2.7 um, 4.6 x 150 mm column, 220-91525-70 Guard column NexLeaf CBXGaurd Column Cartridge, 220-91525-72 Flowrate (mL/min) 1.6 Oven Temperature (°C) 35 Injection Volume (µL) 5 Table 1: Summary of method and instrument parameters
  • 4. Table 2 shows a list of initial concentrations for each standard. Quality Control (QC) standards were prepared using the same method as the calibration standards. Table 2: Initial concentrations for the 15 cannabinoids prior to mixture preparation No. Standard Compounds Stock Conc. (mg/L) 1 Shimadzu CBDV 250 2 Shimadzu CBDA 250 3 Shimadzu CBGA 250 4 Shimadzu CBG 250 5 Shimadzu CBD 250 6 Shimadzu THCV 250 7 Shimadzu CBN 250 8 Shimadzu d9-THC 250 9 Shimadzu d8-THC 250 10 Shimadzu CBC 250 11 Shimadzu THCA 250 12 Cerilliant CBDVA 1000 13 Cerilliant THCVA 1000 14 Cerilliant CBL 1000 15 Cerilliant CBCA 1000 Experiment and Method
  • 5. Results and Discussion A six-point calibration curve ranging from 0.5 to 100 µg/mL and three Quality Control (QC) standards, 2.5 µg/mL, 25 µg/mL and 75 µg/mL, were prepared. Calibration curves and QC standards were evaluated using seven replicate injections and evaluating the correlation coefficient (R2) of the linear regression. All calibration curves passed the high-sensitivity method criteria (R2≥0.999). Figure 1 shows the calibration curves for the 15 target cannabinoids. A best-fit weighting method (1/C) was selected for the linear regression for calibration curve quantitation. The statistical results were processed via Browser in LabSolutions Database, version 6.83; results are shown in table 3.
  • 6. Figure 1: Standard curves for 15 cannabinoids CBDVA CBDV CBDA CBGA CBG CBD THCV THCVA CBN d9-THC d8-THC CBL CBC THCA CBCA 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 1.50 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 1.50 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 Area(x1,000,000) 0 50 Conc. 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 Area(x1,000,000) 0 50 Conc. 0.00 0.25 0.50 0.75 1.00 1.25 Area(x1,000,000) 0 50 Conc. 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Area(x100,000) R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9998 R2=0.9997 R2=0.9998 R2=0.9998 R2=0.9993 Results and Discussion
  • 7. Table 3: Statistical analysis of 6-point calibration curve with seven replicates for calibration standards and quality control (QC) standards for the 15-cannabinoid mixture Results and Discussion No. Compound Calibration Results 2.5 ppm (QC Low) 25.0 ppm (QC Medium) 75.0 ppm (QC High) RF RSD (%) R2 Mean Conc. RSD (%) Accuracy (%) Mean Conc. RSD (%) Accuracy (%) Mean Conc. RSD (%) Accuracy (%) 1 CBDVA 3.950 0.9998 2.62 1.265 104.6 25.38 0.206 101.5 77.18 0.665 102.9 2 CBDV 5.002 0.9998 2.63 1.031 105.4 25.74 0.235 102.9 77.83 0.577 103.8 3 CBDA 4.320 0.9998 2.62 1.150 103.6 25.45 0.233 101.8 77.17 0.699 102.9 4 CBGA 4.372 0.9998 2.59 0.904 101.7 25.44 0.137 101.8 76.81 0.668 102.4 5 CBG 6.721 0.9998 2.54 0.708 98.4 25.49 0.201 102.0 78.06 0.616 104.1 6 CBD 4.637 0.9998 2.46 0.689 100.4 25.45 0.250 101.8 78.20 0.742 104.3 7 THCV 4.836 0.9998 2.51 0.766 105.1 25.50 0.198 102.0 77.82 0.512 103.8 8 THCVA 3.557 0.9998 2.63 0.772 105.1 25.50 0.287 102.0 76.38 0.783 101.8 9 CBN 3.587 0.9998 2.63 0.603 98.5 25.41 0.226 101.6 77.83 0.659 103.8 10 d9-THC 9.869 0.9998 2.46 5.300 100.0 25.82 0.383 103.3 77.96 0.531 103.9 11 d8-THC 6.941 0.9998 2.50 5.455 108.3 25.85 0.493 103.4 77.88 0.741 103.8 12 CBL 6.867 0.9997 2.71 2.585 108.3 25.85 0.532 103.4 77.68 0.631 103.6 13 CBC 9.092 0.9998 2.60 2.838 104.0 25.48 0.370 101.9 77.97 0.629 104.0 14 THCA 9.222 0.9998 2.70 3.609 107.9 25.55 0.359 102.2 76.57 0.699 102.1 15 CBCA 38.577 0.9993 2.28 13.645 91.0 25.78 3.193 103.1 75.69 2.017 100.9
  • 8. Results and Discussion For the noise/drift calculations as well as detection limit and quantitation limit (Table 4), we selected a specified range from 1.20 min to 2.20 min using the ASTM calculation method. Limits of Detection (LOD) and Quantitation (LOQ) of 3.3 and 10.0 were selected, respectively. LOD and LOQ are terms used to describe the smallest concentration of an analyte that can be reliably measured by an analytical procedure. Table 4: Detection limit and quantitative limit for 15 components at 0.5 µg/mL ID# Name S/N Detection Limit (LOD) Quantitative Limit (LOQ) 1 CBDVA 13.68 0.12 0.37 2 CBDV 12.60 0.13 0.39 3 CBDA 10.95 0.15 0.45 4 CBGA 11.09 0.15 0.46 5 CBG 9.83 0.18 0.54 6 CBD 8.70 0.20 0.60 7 THCV 8.22 0.20 0.62 8 THCVA 9.85 0.17 0.51 9 CBN 16.13 0.10 0.31 10 d9-THC 10.58 0.15 0.47 11 d8-THC 7.56 0.23 0.70 12 CBL 10.23 0.16 0.49 13 CBC 9.73 0.18 0.53 14 THCA 8.34 0.18 0.56 15 CBCA 3.39 0.72 2.18
  • 9. Results and Discussion By using the signal-to-noise method, the peak-to-peak noise around the analyte retention time was measured. A signal-to-noise ratio (S/N) of three is generally accepted for estimating LOD and signal-to-noise ratio of ten is used for estimating LOQ. This method is commonly applied to analytical chromatographic methods.2&3 Figure 2 shows a representative chromatogram for three QC standards. Figure 3 illustrates an overlaid chromatogram of seven injections at 100 ppm for the 15- cannabinoid mixture.
  • 10. Figure 2: A representative chromatogram showing quality control standards. A 5 µL of (A) QC high, (B) QC medium and (C) QC low Results and Discussion 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 min 0 50 100 150 200 250 300 350 mV Detector A 220nmDetector A 220nm CBDVA CBDV CBDA CBGA CBG CBD THCV THCVA CBN d9-THC d8-THC CBL CBC THCA CBCA 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 min 0 25 50 75 100 125 mV Detector A 220nmDetector A 220nm CBDVA CBDV CBDA CBGA CBG CBD THCV THCVA CBN d9-THC d8-THC CBL CBC THCA CBCA 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 min -5 0 5 10 15 20 25 30 35 mV Detector A 220nmDetector A 220nm CBDVA CBDV CBDA CBGA CBG CBD THCV THCVA CBN d9-THC d8-THC CBL CBC THCA CBCA (B) (C) (A)
  • 11. Results and Discussion Figure 3: The 15-cannabinoid mixture - Overlay of seven injections (5 µL injection at 100 ppm)
  • 12. Conclusion In response to the increasing demand for development of chromatography techniques in potency testing of hemp and hemp, we developed a method that builds on the existing High Sensitivity Method using the Shimadzu Hemp Analyzer, optimized for the quantitative determination of 15 major cannabinoids. The statistical results document rigorous testing for retention time and peak area repeatability, quantitative accuracy and sensitivity. References 1. https://www.grandviewresearch.com/press-release/global-industrial-hemp-market 2. D.A. Armbruster, M.D. Tillman and L.M. Hubbs. Limit of detection (LQD)/limit of quantitation (LOQ): comparison of the empirical and the statistical methods exemplified with GC-MS assays of abused drugs. Clinical Chemistry. 1994; 40(1): 1233-8. 3. Shrivastava and V.B. Gupta. Methods for the determination of limit of detection and limit of quantitation of the analytical methods. Review Article. 2011; 2(1): 21-5.
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