Discrimination of Dyed Cotton Fibers Based on UVvisible Microspectrophotometry and Multivariate Statistical Analysis

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Discrimination of Dyed Cotton Fibers Based on UVvisible Microspectrophotometry and Multivariate Statistical Analysis Elisa Liszewski, Cheryl Szkudlarek and John Goodpaster Department of Chemistry and Chemical Biology Forensic and Investigative Sciences Program Indiana University Purdue University Indianapolis (IUPUI) Indianapolis, IN 46202

Objectives 1. Acquire a collection of dyed cotton fibers 2. Acquire spectra from all samples using UVvisible microspectrophotometers at IUPUI and the Indiana State Police 3. Carry out multivariate statistical analysis on the resultant spectra 4. Form a dye database

Questions We Can Answer How many classes of spectra can be reliably discerned in a population of dyed cotton fibers that have been analyzed by microspectrophotometry? What general features of the spectra represent the defined groups so that an unknown spectrum could be tentatively classified? What regions of the spectra are most important for discriminating these groups and therefore are the most reliable regions to inspect when comparing samples? To what extent can an unknown sample be correctly and quantitatively assigned to its member class? Can spectra obtained on one instrument serve as a database for a different instrument? If not, does the discrimination of spectra differ significantly depending on the instrument used? Does the calculation of first-derivative spectra or the use of chromaticity coordinates offer any advantages when comparing samples? Ultimately, to what extent do real fiber samples exhibit heterogeneity and what effect does this have on declaring a known and questioned sample to be indistinguishable with respect to their absorption characteristics?

Fibers as Trace Evidence Why are Fibers Important? Widespread in the environment Transferred easily Many classifications and subtypes Physically and chemically differentiable Key Characteristics Morphology (cross-section) Bulk Composition Color * *This is the main discriminating feature for cotton fibers

Fiber Dyes What is a Dye? A colored substance that is able to absorb and reflect certain visible wavelengths of light Thousands of dyes produced worldwide Classification of Dyes: By method of application By chemical class By type of fiber to which they are applied

Classification by Application Method Acid Azoic Basic Direct Dispersive Reactive Sulfur Vat Neutral or Acidic conditions forms ionic bonds Bonding between diazo and coupling component Acidic conditions forms ionic bonds Directly incorporated into cellulosic fiber with the presence of heat and an electrolyte Directly incorporated into synthetic fibers Form covalent bonds with the functional groups Require reducing agent to make dye soluble and then oxidize within the fiber to become insoluble Require reducing agent to make dye soluble and then oxidize within the fiber to become insoluble

The Dyes Label Dye A Direct Red C-380 B Reactive Red 120 C Reactive Red 123 D Reactive Red 195 E Reactive Red 2 F Reactive Red 228 *Provided by Testfabrics A B C D E F

Instrumental Analysis of Dyed Textile Fibers Relies upon principles of: Spectroscopy FTIR Raman microscopy UV-vis spectroscopy chromatography mass spectrometry Dyed Fibers Mass Spectrometry LC-MS Desorption Techniques CE-MS TLC Separations HPLC CE J.V. Goodpaster, E.A. Liszewski; Forensic Analysis of Dyed Textile Fibers, Anal. Bioanal. Chem, 394, 2009-2018 (2009).

Sample Preparation 6 Dyed exemplars 10 fibers/dye Mounted in glycerin on glass slides CRAIC QDI 2000 MSP 35x magnification MSP calibrated prior to analysis 10 scans/fiber

Data Analysis Spectra truncated to 350-800 nm range Background subtracted Normalized Chemometric techniques run: Agglomerative Hierarchical Clustering (AHC) Principal Components Analysis (PCA) Discriminant Analysis (DA) Analysis of Variance (ANOVA)

Representative Spectra Direct Red C-380 Reactive Red 120 Reactive Red 123 Reactive Red 195 Reactive Red 2 350 400 450 500 550 600 650 700 750 800 WAVELENGTH (nm) Reactive Red 228

Hierarchial Cluster Analysis (AHC) Purpose: Present data in a way that emphasize groupings Detect outliers Procedure: Calculate and Compare distances between samples Small distances indicate similarity Result Dendrogram Display results according to dissimilarity Truncation line Groupings to the right significant

E8 E5 B8 F8 F4 F10 F9 F3 F2 F7 F1 F5 F6 E3 E9 E1 E2 E7 E4 B10 B9 B4 B6 D9 D4 D6 D5 D10 D8 D7 D3 D2 D1 E10 E6 B2 B1 B7 B3 B5 A4 A3 A9 A5 A7 A1 A10 A8 A2 A6 C4 C3 C9 C8 C5 C10 C7 C6 C2 C1 Dendrogram Reactive Red 120, Reactive Red 2, Reactive Red 228 Reactive Red 195 Direct Red C-380, Reactive Red 120, Reactive Red 2 Reactive Red 123 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Dissimilarity

Dendrogram Summary Class 1 Class 2 Class 3 Class 4 Direct Red C-380 Reactive Red 120 Reactive Red 123 Reactive Red 195 Reactive Red 120 Reactive Red 2 Reactive Red 2 Reactive Red 228

NORMALIZED ABSORBANCE Unique Fiber Detection 0.1 FIBER E 0.09 0.08 E1 0.07 E2 0.06 E3 0.05 E4 E5 0.04 E6 0.03 E7 0.02 E8 E9 0.01 E10 0 350 400 450 500 550 600 650 700 750 800 WAVELENGTH (nm)

Principle Component Analysis (PCA) Purpose: Reduce dimensionality of data Detect patterns and outliers Procedure: Form principle components First pc captures the most variance Result: Observation Plot First two principle components Factor Loading Plot Contributions of the variables

F2 (26.48 %) Observation (axes F1 and F2: 67.51 %) 40.000 30.000 20.000 10.000 0.000-10.000-20.000 A B C D -30.000 E F -40.000-50.000-60.000-50.000-40.000-30.000-20.000-10.000 0.000 10.000 20.000 30.000 40.000 F1 (41.03)

D2 (29.45 %) Observations (axes D1 and D2: 56.87 %) 2.500 2.000 1.500 PCA Observations with 3 factor varimax rotation 1.000 0.500 0.000-0.500-1.000-1.500-2.000 A B C D E F -2.500-4.000-3.000-2.000-1.000 0.000 1.000 2.000 3.000 D1 (27.42 %)

Factor Loading 1.000 0.800 0.600 0.400 0.200 0.000-0.200 D1 D2-0.400-0.600-0.800-1.000 350 400 450 500 550 600 650 700 750 800 WAVELENGTH (nm)

NORMALIZED ABSORBANCE Most Informative Regions of Spectra PC1 Positive Correlation: 350-387 nm PC1 Negative Correlation: 502-513 nm PC2 Positive Correlation: 402-484 nm PC2 Negative Correlation: 528-565 nm A B C D E F 350 400 450 500 550 600 650 700 750 800 WAVELENGTH (nm)

Linear Discriminant Analysis (DA) Purpose: Predict group membership Detect patterns Procedure: Form canonical variates Assign to class with highest probability Result: Observations Plot First two canonical variates Confusion Matrix Summary of the reclassification

F2 (10.49 %) Observations (axes F1 and F2: 99.08 %) 8 6 4 2 01 0 02 03 04-2 05 06-4 -6-8 -15-10 -5 0 5 10 15 20 F1 (88.58 %)

DA Results The accuracy of DA can be measured by leaveone-out cross validation Groups listed with 100% accuracy had no errors in re-classification Groups with low accuracy are easily confused with other dyes Fiber % Correct Direct Red C-380 100.00 Reactive Red 120 69.00 Reactive Red 123 100.00 Reactive Red 195 98.00 Reactive Red 2 59.00 Reactive Red 228 85.00 Total 85.26 Fiber % Correct Direct Red C-380 100.00 Reactive Red 120 74.23 Reactive Red 123 100.00 Reactive Red 195 100.00 Reactive Red 2 87.00 Reactive Red 228 91.00 Total 92.13

Analysis of Variance (ANOVA) Purpose: Find parts of the spectra for maximum discrimination Procedure: Assign F-values F = Between Group Variance Within Group Variance Result: F-values Fisher Ratio Plot High value indicates difference

Univariate Fisher Ratios 600 500 400 300 200 100 0 350 400 450 500 550 600 650 700 750 800 WAVELENGTH (nm)

NORMALIZED ABSORBANCE Most Discriminating Spectral Regions Interestingly, the most discriminating regions do not include the max rather they lie on the rising and falling edges A B C D E F 350 400 450 500 550 600 650 700 750 800 WAVELENGTH (nm)

The Results EXTERNAL VALIDATION

F2 (10.49 %) Observations (axes F1 and F2: 99.08 %) 8 01 02 6 03 04 4 05 06 2 0 01(Prediction) 02(Prediction) 03(Prediction) 04(Prediction) 05(Prediction) 06(Prediction) -2-4 -6-8 -15-10 -5 0 5 10 15 20 F1 (88.58 %)

DA Results Fiber % Correct Fiber % Correct Direct Red C-380_1 100.00 Direct Red C-380_2 100.00 Reactive Red 120_1 90.00 Reactive Red 120_2 90.00 Reactive Red 123_1 100.00 Reactive Red 123_2 100.00 Reactive Red 195_1 100.00 Reactive Red 195_2 90.00 Reactive Red 2_1 10.00 Reactive Red 2_2 30.00 Reactive Red 228_1 90.00 Reactive Red 228_2 90.00 TOTAL 82.50 Direct Red C-380_1 100.00 Direct Red C-380_2 100.00 Reactive Red 120_1 70.00 Reactive Red 120_2 90.00 Reactive Red 123_1 100.00 Reactive Red 123_2 100.00 Reactive Red 195_1 100.00 Reactive Red 195_2 100.00 Reactive Red 2_1 40.00 Reactive Red 2_2 10.00 Reactive Red 228_1 70.00 Reactive Red 228_2 90.00 TOTAL 80.83 * 6 Class Assignment * 60 Class Assignment

IUPUI versus ISP INTER-LABORATORY STUDY

The Dyes Label Dye A Direct Red C-380 B Reactive Red 120 C Reactive Red 123 D Reactive Red 195 E Reactive Red 2 F Reactive Red 228 Label Dye G Direct Red 84 H Reactive Red 180 I Reactive Red 198 J Reactive Red 239/241 K Vat Red 10 L Vat Red 15 *Provided by Testfabrics A B C *Provided by Dr. Stephen Morgan from University of South Carolina G H I D E F J K L

Classification Accuracy Dye % Correct Direct Red C-380 100.00 Reactive Red 120 67.00 Reactive Red 123 100.00 Reactive Red 195 72.00 Reactive Red 2 50.00 Reactive Red 228 83.00 Direct Red 84 100.00 Reactive Red 180 89.00 Reactive Red 198 92.00 Reactive Red 239/241 67.00 Vat Red 10 100.00 Vat Red 15 100.00 Total 85.00 Dye % Correct Direct Red C-380 92.00 Reactive Red 120 61.00 Reactive Red 123 100.00 Reactive Red 195 93.00 Reactive Red 2 39.00 Reactive Red 228 77.00 Direct Red 84 99.00 Reactive Red 180 94.00 Reactive Red 198 70.00 Reactive Red 239/241 52.00 Vat Red 10 99.00 Vat Red 15 100.00 Total 81.25

Conclusions Training Set: 4 main classes 67.51% total variance captured by first 2 PCs Direct Red C-380, Reactive Red 123, and Reactive Red 195 were correctly classified 100% Overall accuracy of classification was above 90% 463-502 nm and 554-585 nm were the most discriminating regions Some uniqueness was seen within the 10 fibers of Reactive Red 2

More Conclusions External Validation: The overall classification accuracy was above 80% Inter-laboratory Study: Five dyes were readily distinguished using instruments at IUPUI and ISP: Direct Red C-380, Reactive Red 123, Direct Red 84, Vat Red 10, and Vat Red 15 The remaining dyes were not as readily distinguished and potentially confused with one another the degree of confusion varied between laboratories Overall, consistency was shown between the two instruments

Acknowledgements Microanalysis Unit of the Indiana State Police Laboratory Dr. Stephen Morgan (University of South Carolina) Tom Klass (Testfabrics, Inc.) Midwest Forensics Resource Center (MFRC)