Supporting Information Analytical characterization and comparison of tristyrylphenol ethoxylates used in agrochemical formulation Johannes Glaubitz1,2, Torsten C. Schmidt1,* 1 University Duisburg-Essen, Instrumental Analytical Chemistry, Universitätsstr. 5, 45141 Essen, Germany 2 Bayer CropScience, Formulation Technology Analysis & Services, Alfred-Nobel-Straße 50, 40789 Monheim am Rhein, Germany *Corresponding author: Phone: +49 201 183-6774 Fax: +49 201 183-6773 E-mail: torsten.schmidt@uni-due.de Table of Contents 1. Sample for testing on mass calibration of TOF-MS .................................................................................. 5 2. Mass spectra of the major compounds in TSP-16 .................................................................................... 7 3. Comparison of the ionization performance of APPI and ESI for the analysis of TSP-40-ethoxylates ...... 10 4. Determination of the limit of quantification ......................................................................................... 12 5. Data bases and results files for the data mining .................................................................................... 16 6. Results of the principal components analysis according to the score of the single compounds ............. 16 7. Comparison of TSP-16 of different suppliers and qualities .................................................................... 19 8. Statistical evaluation of the results on the content of the components in TSP-16 on their use for product identification .................................................................................................................................................. 22 9. Example for interference on analysis of TSP-16 in agrochemical formulations ...................................... 24 1 List of Figures Figure S 1: The mass spectra of the major compounds are displayed in Figure S 1 (a) for PEG, in Figure S 1 (b) for MSP ethoxylates, in Figure S 1 (c) for DSP ethoxylates, in Figure S 1 (d) for TSP ethoxylates and in Figure S 1 (e) for TeSP ethoxylates. These mass spectra were obtained using APCI as coupling to the TOF mass spectrometer .............................................. 7 Figure S 2: Ionization behavior of TSP-40 ionized by APPI (a) and ESI (b). In each case the mass spectrum over the peak of TSP-ethoxylates is displayed. For each experiment the same elution conditions with water and methanol as mobile phase, plus 5 mmol/L ammonium formiate, were chosen. The mass spectrometer used for this experiments was a Thermo Qexactive. .................................................................................................................................... 11 Figure S 3: Chromatograms for determination of the signal-to-noise ratio at the defined LOQ level for TSP with 16 EO units (a) and hexanophenone (b). The LOQ was defined as a signalto-noise ratio of at least 20:1, which has been achieved for both analytes. ............................. 13 Figure S 4: Linear ranges for TSP with 16 EO units (a) and hexanophenone (b) including the bands of prediction indicated green for the upper and red for the lower limit ......................... 14 Figure S 5: Distribution of residues for the regression analysis of standards of TSP with 16 EO units a) and the internal standard hexanophenone b) ......................................................... 15 Figure S 6: Principle component analysis of the data sets from supplier A (Cross), B1 (Arrow), B2 (Horizontal Bar) and C (Vertical bar) together with the data of the formulation samples containing TSP-16 of supplier A (Square), B1 (Diamond), B2 (Circle) and C (Triangle). For the PCA the whole data set was taken including the 3 repetition analysis each production batch and formulation sample. ............................................................................... 22 Figure S 7: Combined hierarchical clustering of the samples (x-axis) and the compounds (yaxis) detected in the samples of supplier A, B1, B2 and C together with sample of formulation 2 containing TSP-16 of Supplier A, B1, B2 and C. Each sample is the average of 3 repetition analyses. The content of a compound in the analyzed sample is coded via black-white rectangles in the column beneath the respective samples. The color ranges from black, compound not detected, over grey, compound as abundant as internal standard, to white, compound with the maximum content. .................................................................................... 23 Figure S 8: Extracted ion chromatograms obtained in the positive ionization mode of terminal phosphated (a) and sulfated (b) commercially available TSP-16. Indicated are the identified entities of DSP-, TSP and TeSP ethoxylates. ........................................................................... 25 Figure S 9: Principal component analysis of the data sets from supplier A (Cross), B1 (Arrow), B2 (Horizontal Bar) and C (Vertical bar) together with the data of the formulation samples containing TSP-16 of supplier A (Square), B2 (Circle) and C (Triangle). For the PCA the whole data set was taken including the 3 repetition analysis each production batch and formulation sample. .................................................................................................................. 26 3 List of Tables Table S 1: Retention time and exact masses for compounds in the test sample for checking on mass calibration .......................................................................................................................... 5 Table S 2: Results for the test on heteroscedasticity against a level of significance of 0.05 on the data set used for linear regression of TSP-with 16 EO units and the internal standard hexanophenone according to Breusch-Pagan ........................................................................... 15 Table S 3: Given are the scores each compound for component 1 and 2 of the principle component analysis performed on the data set of the different suppliers of TSP-16, as it is graphically displayed in Figure 6 in the manuscript. ............................................................... 16 Table S 4: Compounds used for the combined hierarchical clustering listed together with the corresponding arrays as defined in Figure 7 (see manuscript). The compounds are sorted according to the order obtained by the hierarchical clustering of the compounds. .................. 19 Table S 5: Table of composition of the model agrochemical formulation containing terminal sulfated TSP-16 alongside with TSP-16 .................................................................................. 25 4 1. Sample for testing on mass calibration of TOF-MS The retention times and exact masses for the compounds in the test sample for checking mass calibration of the used TOF-MS are given in Table S 1. Table S 1: Retention time and exact masses for compounds in the test sample for checking on mass calibration Compound Imidacloprid Thiacloprid Tebuconazole (1.Isomer) Triadimenol Tebuconazole (2.Isomer) Distyrylethoxylate-5-EO Distyrylethoxylate-6-EO Distyrylethoxylate-7-EO Distyrylethoxylate-8-EO Distyrylethoxylate-9-EO Distyrylethoxylate-10-EO Distyrylethoxylate-11-EO Distyrylethoxylate-12-EO Distyrylethoxylate-13-EO Distyrylethoxylate-14-EO Distyrylethoxylate-15-EO Distyrylethoxylate-16-EO Distyrylethoxylate-17-EO Distyrylethoxylate-18-EO Distyrylethoxylate-19-EO Distyrylethoxylate-20-EO Distyrylethoxylate-21-EO Distyrylethoxylate-22-EO Distyrylethoxylate-23-EO Distyrylethoxylate-24-EO Distyrylethoxylate-25-EO Distyrylethoxylate-26-EO Distyrylethoxylate-27-EO Distyrylethoxylate-28-EO Distyrylethoxylate-29-EO Distyrylethoxylate-30-EO Nonylphenolethoxylate-5-EO Nonylphenolethoxylate-6-EO Nonylphenolethoxylate-7-EO Nonylphenolethoxylate-8-EO Nonylphenolethoxylate-9-EO Nonylphenolethoxylate-10-EO Nonylphenolethoxylate-11-EO Nonylphenolethoxylate-12-EO Nonylphenolethoxylate-13-EO Nonylphenolethoxylate-14-EO Nonylphenolethoxylate-15-EO tN [min] 2.0 2.5 4.3 4.6 4.9 5.8 5.8 5.8 5.8 5.8 5.8 5.8 5.8 5.8 5.8 5.8 5.8 5.9 5.9 5.9 5.9 5.9 5.9 5.9 5.9 5.9 5.9 5.9 5.9 5.9 5.9 6.6 6.3 6.2 6.2 6.2 6.2 6.2 6.2 6.2 6.2 6.2 Exact mass [m/z] 254.0450 252.0236 307.1451 295.1088 307.1451 522.2981 566.3244 610.3506 654.3768 698.4030 742.4292 786.4554 830.4816 874.5079 918.5341 962.5603 1006.5865 1050.6127 1094.6389 1138.6651 1182.6914 1226.7176 1270.7438 1314.7700 1358.7962 1402.8224 1446.8486 1490.8749 1534.9011 1578.9273 1622.9535 440.3138 484.3400 528.3662 572.3924 616.4186 660.4449 704.4711 748.4973 792.5235 836.5497 880.5759 5 Compound Nonylphenolethoxylate-16-EO Nonylphenolethoxylate-17-EO Nonylphenolethoxylate-18-EO Nonylphenolethoxylate-19-EO Nonylphenolethoxylate-20-EO Nonylphenolethoxylate-21-EO Nonylphenolethoxylate-22-EO Nonylphenolethoxylate-23-EO Nonylphenolethoxylate-24-EO Nonylphenolethoxylate-25-EO Nonylphenolethoxylate-26-EO Nonylphenolethoxylate-27-EO Nonylphenolethoxylate-28-EO Nonylphenolethoxylate-29-EO Nonylphenolethoxylate-30-EO Tristyrylethoxylate-5-EO Tristyrylethoxylate-6-EO Tristyrylethoxylate-7-EO Tristyrylethoxylate-8-EO Tristyrylethoxylate-9-EO Tristyrylethoxylate-10-EO Tristyrylethoxylate-11-EO Tristyrylethoxylate-12-EO Tristyrylethoxylate-13-EO Tristyrylethoxylate-14-EO Tristyrylethoxylate-15-EO Tristyrylethoxylate-16-EO Tristyrylethoxylate-17-EO Tristyrylethoxylate-18-EO Tristyrylethoxylate-19-EO Tristyrylethoxylate-20-EO Tristyrylethoxylate-21-EO Tristyrylethoxylate-22-EO Tristyrylethoxylate-23-EO Tristyrylethoxylate-24-EO Tristyrylethoxylate-25-EO Tristyrylethoxylate-26-EO Tristyrylethoxylate-27-EO Tristyrylethoxylate-28-EO Tristyrylethoxylate-29-EO Tristyrylethoxylate-30-EO tN [min] 6.2 6.2 6.2 6.2 6.2 6.2 6.2 6.2 6.2 6.2 5.9 5.9 5.9 5.9 5.9 5.9 5.9 5.9 6.5 5.9 5.9 6.0 6.0 6.0 6.0 6.0 6.0 6.0 6.0 6.0 6.0 5.9 5.9 5.9 5.9 5.9 5.8 5.8 5.8 5.8 5.8 Exact mass [m/z] 924.6022 968.6284 1012.6546 1056.6808 1100.7070 1144.7332 1188.7594 1232.7857 1276.8119 1320.8381 1364.8643 1408.8905 1452.9167 1496.9429 1540.9692 626.3607 670.38695 714.4132 758.4394 802.4656 846.4918 890.5180 934.5442 978.5705 1022.5967 1066.6229 1110.6491 1154.6753 1198.7015 1242.7278 1286.7540 1330.7802 1374.8064 1418.8326 1462.8588 1506.8850 1550.9113 1594.9375 1638.9637 1682.9899 1727.0161 6 2. Mass spectra of the major compounds in TSP-16 In the following Figure S 1 the mass spectra of the major compounds in TSP-16 are shown. In Figure S 1 (a) the mass spectrum of PEG, in Figure S 1 (b) the mass spectrum of MSP ethoxylates, in Figure S 1 (c) the mass spectrum of DSP ethoxylates, in Figure S 1 (d) the mass spectrum of TSP ethoxylates and in Figure S 1 (e) the mass spectrum of TeSP (4) ethoxylates are given. Figure S 1: The mass spectra of the major compounds are displayed in Figure S 1 (a) for PEG, in Figure S 1 (b) for MSP ethoxylates, in Figure S 1 (c) for DSP ethoxylates, in Figure S 1 (d) for TSP ethoxylates and in Figure S 1 (e) for TeSP ethoxylates. These mass spectra were obtained using APCI as coupling to the TOF mass spectrometer Signal intensity [counts] PEG PEG with 9 EO-units [M + NH4] Mass-to-Charge [m/z] + (a) 7 MSP with 16 EO-units [M + NH4] + Signal intensity [counts] (1) MSP-ethoxylates PEG with 4 EO-units [M + NH4] + Mass-to-Charge [m/z] DSP with 15 EO-units [M + NH4] (2) DSP-ethoxylates + + Signal intensity [counts] PEG with 4 EO-units [M + NH4] (b) Mass-to-Charge [m/z] (c) 8 (3) TSP-ethoxylates (3) TSPTSP with 15 EO-units [M + NH ] ethoxylat + 4 Signal intensity [counts] PEG with 4 EO-units [M + NH4] + Mass-to-Charge [m/z] TeSP with 13 EO-units [M + NH4] (d) + Signal intensity [counts] (4) TeSP-ethoxylates PEG with 5 EO-units [M + NH4] + Mass-to-Charge [m/z] (e) As shown all compounds were identified as [M + NH4]-adducts, due to the addition 5mM of ammonium formate to the eluents. Furthermore, were identified entities of PEG for each of the styrenated phenol ethoxylates. This PEG is due to insource degradation of the respective 9 styrenated phenol ethoxylates, as PEG originating from the sample of TSP-16 has been chromatographically separated and is eluting before the styrenated phenol ethoxylates between tR=1.0 min and tR=7.0 min. 3. Comparison of the ionization performance of APPI and ESI for the analysis of TSP-40-ethoxylates The ionization performance of APPI and ESI was compared for the analysis of TSP-40ethoxylates. For comparison the mass spectra of TSP-ethoxylates were taken for each ionization technique. Results for APPI are displayed in Figure S 2 (a) and for ESI in Figure S 2 (b). + Relative abundance [%] TSP with 33 EO-units [M + Na] Mass-to-Charge [m/z] (a) 10 TSP with 39 EO-units [M + 3NH4]3+ TSP with 38 EO-units [M + 2NH4]2+ Relative abundance [%] TSP with 43 EO-units [M + 4NH4]4+ TSP with 35 EO-units [M + NH4]+ Mass-to-Charge [m/z] (b) Figure S 2: Ionization behavior of TSP-40 ionized by APPI (a) and ESI (b). In each case the mass spectrum over the peak of TSP-ethoxylates is displayed. For each experiment the same elution conditions with water and methanol as mobile phase, plus 5 mmol/L ammonium formiate, were chosen. The mass spectrometer used for this experiments was a Thermo Q-exactive. For APPI a complex spectrum was obtained with a wide variety of signals, which can only partly be assigned to TSP-ethoxylates like the signal of TSP ethoxylate with 33 EO units. Given that the distribution of TSP-40 has its center on TSP with 33 EO units and not 40 EO units and taking into account the scatter of smaller peaks underlying the distribution it may be assumed that APPI is limited to ionization of entities with shorter EO chains. The ionization process, however, of entities with longer chain length leads to some sort of degradation shifting the center of distribution of ethoxylates and giving a wide variety of mass peaks, being fragments of this process. As the spectrum is very hard to interpret APPI is less favorable for characterization of TSP ethoxylates with longer EO chain lengths. By comparison, the spectrum obtained by ESI shows only single to fourfold-charged mol peaks of TSP ethoxylates without apparent degradation products or fragments. Analogous to the spectrum obtained for TSP-16 in the manuscript in Figure 3 (b) the higher charged entities 11 are dominant for longer EO chain lengths. The spectrum obtained by ESI was easier to interpret and without apparent degradation products and so ESI was taken as coupling to the mass spectrometer in this work. 4. Determination of the limit of quantification The limits of quantification (LOQ) for both analytes hexanophenone and TSP with 16 EO units has been defined as a signal-to-noise ratio of at least 20:1 to ensure acceptable quantification results. In the following the respective chromatograms at LOQ level are given for TSP with 16 EO units (a) and hexanophenone (b) in Figure S 3, the linearity plots for TSP with 16 EO units (a) and hexanophenone (b) in Figure S 4 and the distribution of residues for TSP with 16 EO units (a) and hexanophenone (b) in Figure S 5. The data for the linear regression were found to be heteroscedastic according to the Breusch-Pagan with the results Signal intensity [counts] shown in Table S 2. Acquisition time [min] (a) 12 Signal intensity [counts] Acquisition time [min] (b) Figure S 3: Chromatograms for determination of the signal-to-noise ratio at the defined LOQ level for TSP with 16 EO units (a) and hexanophenone (b). The LOQ was defined as a signal-to-noise ratio of at least 20:1, which has been achieved for both analytes. 12000000 10000000 counts 8000000 6000000 y = 311388x + 73462 R² = 0.9998 4000000 2000000 0 0 5 10 15 20 25 30 35 40 c [mg/L] (a) 13 3000000 2500000 counts 2000000 1500000 1000000 y = 22835x - 26727 R² = 0.9996 500000 0 0 20 40 60 80 100 120 140 c [mg/L] (b) Figure S 4: Linear ranges for TSP with 16 EO units (a) and hexanophenone (b) including the bands of prediction indicated green for the upper and red for the lower limit Standardisierte Residuen 2.5 2 1.5 1 0.5 0 -0.5 0 5 10 15 20 25 30 35 -1 -1.5 Content TSP with 16-EO units [mg/L] a) 14 Standardisierte Residuen 1 0.5 0 0 20 40 60 80 100 120 140 -0.5 -1 -1.5 -2 Content ISTD [mg/L] b) Figure S 5: Distribution of residues for the regression analysis of standards of TSP with 16 EO units a) and the internal standard hexanophenone b) Table S 2: Results for the test on heteroscedasticity against a level of significance of 0.05 on the data set used for linear regression of TSP-with 16 EO units and the internal standard hexanophenone according to Breusch-Pagan TSP with 16 EO units Hexanophenone (ISTD) p-Value 0.004 0.004 Hypothesis H0 (Residues are H0 (Residues are homoscedastic) rejected homoscedastic) rejected Although the residues for the linear regressions were heteroscedastic, this was not considered for the calculation of the linear regression. As the aim of this work is the relative comparison of different suppliers of TSP-16 and not an absolute quantification of the single components this limitation is acceptable. 15 5. Data bases and results files for data mining The compound search applied in this work, is a targeted on known compounds. The corresponding database is added as .csv file to the Supporting Information (TSP exact mass data base.csv). The resulting data set for the 2-step data mining approach on the nonionic surfactants in all the analyzed samples is added as a .txt file (TSP-16-ethoxylates_final.txt) to the Supporting Information together with the intermediate data sets obtained during data mining (TSP-16-ethoxylates molecular feature extractor.txt), normalization and reduction (TSP-16-ethoxylates Find-by-Formular.txt) to the defined linear range. The resulting data set on TSP 16 and TSP-16 in formulation samples is also added here (TSP-16-ethoxylates plus formulation samples.txt). 6. Results of the principal components analysis according to the score of the single compounds In the following Table S 3 are shown the single scores each compound for component 1 and 2 of the principle component analysis as shown graphically in Figure 6 in the manuscript. Table S 3: Given are the scores each compound for component 1 and 2 of the principle component analysis performed on the data set of the different suppliers of TSP-16, as it is graphically displayed in Figure 6 in the manuscript. Compound Hexanophenon Monostyryphenolethoxylate-11-EO Monostyryphenolethoxylate-12-EO Monostyryphenolethoxylate-13-EO Monostyryphenolethoxylate-14-EO Monostyryphenolethoxylate-15-EO Monostyryphenolethoxylate-16-EO Monostyryphenolethoxylate-17-EO Monostyryphenolethoxylate-18-EO Monostyryphenolethoxylate-19-EO Component 1 0 -21.518444 -17.013428 -20.885107 -25.291218 -32.93415 -25.511671 -24.716763 -24.73755 -26.527723 Component 2 0 18.958761 17.149254 20.679117 23.80306 28.694887 39.14467 39.249256 38.80539 40.04413 Retention Mass Time 176.1201 4.58 682.392 4.92 726.4198 4.94 770.4452 4.96 814.4709 4.99 858.4977 5.01 902.5234 5.03 946.5495 5.05 990.5766 5.07 1034.602 5.08 16 Compound Monostyryphenolethoxylate-20-EO Monostyryphenolethoxylate-21-EO Monostyryphenolethoxylate-22-EO Monostyryphenolethoxylate-23-EO Monostyryphenolethoxylate-24-EO Distyryphenolethoxylate-5-EO Distyryphenolethoxylate-6-EO Distyryphenolethoxylate-7-EO Distyryphenolethoxylate-8-EO Distyryphenolethoxylate-9-EO Distyryphenolethoxylate-10-EO Distyryphenolethoxylate-11-EO Distyryphenolethoxylate-12-EO Distyryphenolethoxylate-13-EO Distyryphenolethoxylate-14-EO Distyryphenolethoxylate-15-EO Distyryphenolethoxylate-16-EO Distyryphenolethoxylate-17-EO Distyryphenolethoxylate-18-EO Distyryphenolethoxylate-19-EO Distyryphenolethoxylate-20-EO Distyryphenolethoxylate-21-EO Distyryphenolethoxylate-22-EO Distyryphenolethoxylate-23-EO Distyryphenolethoxylate-24-EO Distyryphenolethoxylate-25-EO Distyryphenolethoxylate-26-EO Distyryphenolethoxylate-27-EO Distyryphenolethoxylate-28-EO Distyryphenolethoxylate-29-EO Tristyryphenolethoxylate-5-EO Tristyryphenolethoxylate-6-EO Tristyryphenolethoxylate-7-EO Tristyryphenolethoxylate-8-EO Tristyryphenolethoxylate-9-EO Tristyryphenolethoxylate-10-EO Tristyryphenolethoxylate-11-EO Tristyryphenolethoxylate-12-EO Tristyryphenolethoxylate-13-EO Tristyryphenolethoxylate-14-EO Tristyryphenolethoxylate-15-EO Tristyryphenolethoxylate-16-EO Tristyryphenolethoxylate-17-EO Tristyryphenolethoxylate-18-EO Tristyryphenolethoxylate-19-EO Tristyryphenolethoxylate-20-EO Component 1 Component 2 -15.867841 32.809223 -19.358452 27.466583 -18.085913 16.839708 -15.225504 13.234964 -10.874819 8.432772 -2.6254199 5.172396 -4.185789 2.4134681 -0.9710141 2.3733385 -1.0998861 3.294223 -2.7358875 1.6297657 -1.941136 1.4260204 -1.9511255 1.3822399 -1.9803915 1.2908698 -1.9467528 1.2308027 -1.8844413 1.1279616 -1.8335105 1.0220265 -1.718206 0.90500146 -1.6626208 0.81457263 -1.5110463 0.68221706 -1.4079044 0.5977382 -1.2562836 0.45425314 -1.150982 0.40137506 -0.9551027 0.27022606 0.3792616 -3.9362864 -0.6929657 0.028805576 -4.2088923 7.1047454 -1.7542683 -0.26916566 0.5838643 4.580197 -6.2823634 -3.9688544 25.656946 -21.225237 -3.4106627 1.4796438 -1.2727805 1.1529844 -1.2660158 1.2475859 -0.28587636 0.8669842 -0.3896259 0.77770567 -0.43556568 0.61594385 -0.47407123 0.57370925 -0.4584877 0.45355675 -0.41510287 0.36597556 -0.36435264 0.29770425 -0.27751935 0.1869533 -0.193165 0.05831029 -0.10277939 -0.066116735 0.025035297 -0.1622553 0.14945453 -0.3214445 0.26133797 -0.3555113 Retention Mass Time 1078.629 5.10 1122.653 5.11 1166.68 5.13 1210.703 5.14 1254.729 5.16 522.3015 5.53 566.3277 5.55 610.3523 5.56 654.3778 5.58 698.4035 5.59 742.4296 5.60 786.4559 5.60 830.4822 5.61 874.5083 5.62 918.5346 5.63 962.5605 5.64 1006.587 5.64 1050.613 5.65 1094.639 5.66 1138.665 5.66 1182.692 5.67 1226.718 5.67 1270.744 5.68 1314.77 5.68 1358.796 5.68 1402.823 5.68 1446.849 5.69 1490.875 5.69 1534.901 5.69 1578.929 5.65 626.361 6.00 670.3875 6.01 714.4137 6.01 758.4396 6.01 802.4657 6.02 846.492 6.02 890.5182 6.02 934.5444 6.02 978.5708 6.02 1022.597 6.03 1066.623 6.03 1110.649 6.03 1154.675 6.03 1198.702 6.03 1242.728 6.03 1286.754 6.03 17 Compound Tristyryphenolethoxylate-21-EO Tristyryphenolethoxylate-22-EO Tristyryphenolethoxylate-23-EO Tristyryphenolethoxylate-24-EO Tristyryphenolethoxylate-25-EO Tristyryphenolethoxylate-26-EO Tristyryphenolethoxylate-27-EO Tristyryphenolethoxylate-28-EO Tristyryphenolethoxylate-29-EO Tristyryphenolethoxylate-30-EO Tristyryphenolethoxylate-31-EO Tetrastyryphenolethoxylate-5-EO Tetrastyryphenolethoxylate-6-EO Tetrastyryphenolethoxylate-7-EO Tetrastyryphenolethoxylate-8-EO Tetrastyryphenolethoxylate-9-EO Tetrastyryphenolethoxylate-10-EO Tetrastyryphenolethoxylate-11-EO Tetrastyryphenolethoxylate-12-EO Tetrastyryphenolethoxylate-13-EO Tetrastyryphenolethoxylate-14-EO Tetrastyryphenolethoxylate-15-EO Tetrastyryphenolethoxylate-16-EO Tetrastyryphenolethoxylate-17-EO Tetrastyryphenolethoxylate-18-EO Tetrastyryphenolethoxylate-19-EO Tetrastyryphenolethoxylate-20-EO Tetrastyryphenolethoxylate-21-EO Tetrastyryphenolethoxylate-22-EO Tetrastyryphenolethoxylate-23-EO Tetrastyryphenolethoxylate-24-EO Tetrastyryphenolethoxylate-25-EO Monostyrylphenolprop-ethoxylate5-EO-8-PO Monostyrylphenolprop-ethoxylate6-EO-8-PO Monostyrylphenolprop-ethoxylate7-EO-8-PO Monostyrylphenolprop-ethoxylate8-EO-8-PO Monostyrylphenolprop-ethoxylate9-EO-8-PO Monostyrylphenolprop-ethoxylate10-EO-8-PO Monostyrylphenolprop-ethoxylate11-EO-8-PO Monostyrylphenolprop-ethoxylate12-EO-8-PO Component 1 Component 2 0.42371926 -0.5586756 0.46660414 -0.41179907 0.70624554 -0.7611214 0.3835046 -0.1521237 -0.5297137 -1.205153 -0.9155471 0.63756394 -4.92467 -0.46643406 -2.411118 1.9084175 -7.3978014 -11.465272 40.23051 -31.489828 13.274889 0.54010266 -3.7890558 -8.516457 -12.51962 -19.076212 -4.578877 -27.566341 -19.086279 -12.592126 -6.1373577 -26.144741 -13.65941 -10.564696 -6.8554664 -3.5307236 -7.446675 -6.3279986 -3.7851732 -4.298947 -1.3549933 -0.73320895 -1.3206834 -0.87198585 -2.1694055 -0.7420312 -6.312905 -8.372017 -4.6640363 -1.1875252 -15.150156 -6.937315 -7.81072 -5.7653356 -14.134495 -24.12576 -14.034096 -10.08268 -17.998505 -12.262659 13.857056 -18.175201 0.31084424 -0.30325606 Retention Mass Time 1330.78 6.03 1374.807 6.03 1418.833 6.03 1462.859 6.02 1506.885 6.03 1550.911 6.02 1594.937 6.03 1638.963 6.02 1682.99 6.02 1727.015 6.00 1771.045 6.06 730.4228 6.31 774.4505 6.33 818.4767 6.36 862.5024 6.37 906.5262 6.35 950.5555 6.38 994.5801 6.38 1038.607 6.38 1082.633 6.38 1126.66 6.38 1170.686 6.38 1214.712 6.38 1258.738 6.37 1302.764 6.37 1346.79 6.37 1390.817 6.37 1434.843 6.35 1478.87 6.36 1522.895 6.34 1566.919 6.35 1610.946 6.39 26.74786 13.669259 882.5688 6.09 17.234734 8.269603 926.5933 6.12 29.101526 14.494107 970.6096 6.08 33.514618 16.18774 1014.637 6.06 35.42035 15.915241 1058.659 6.05 25.031956 16.850344 1102.685 6.06 17.60985 13.992486 1146.71 6.06 31.77927 15.785249 1190.735 6.05 18 Compound Monostyrylphenolprop-ethoxylate13-EO-8-PO Distyrylphenolprop-ethoxylate-5EO-8-PO Distyrylphenolprop-ethoxylate-6EO-8-PO Distyrylphenolprop-ethoxylate-7EO-8-PO Distyrylphenolprop-ethoxylate-8EO-8-PO Distyrylphenolprop-ethoxylate-9EO-8-PO Distyrylphenolprop-ethoxylate-10EO-8-PO Distyrylphenolprop-ethoxylate-11EO-8-PO Distyrylphenolprop-ethoxylate-12EO-4-PO Distyrylphenolprop-ethoxylate-12EO-8-PO Distyrylphenolprop-ethoxylate-13EO-8-PO Distyrylphenolprop-ethoxylate-14EO-8-PO Distyrylphenolprop-ethoxylate-15EO-8-PO Distyrylphenolprop-ethoxylate-16EO-8-PO Distyrylphenolprop-ethoxylate-17EO-8-PO Distyrylphenolprop-ethoxylate-18EO-8-PO Distyrylphenolprop-ethoxylate-19EO-8-PO Component 1 Component 2 Mass Retention Time 5.6304994 0.3463299 1234.761 6.04 57.404755 7.765355 986.6327 6.39 57.82702 7.887388 1030.66 6.38 58.48031 7.788493 1074.686 6.38 58.59349 7.7376966 1118.711 6.38 58.646797 7.669096 1162.738 6.38 58.14472 7.6415954 1206.764 6.38 57.51143 7.6519156 1250.789 6.37 1.0730832 0.5492888 1062.638 6.05 56.77911 7.385921 1294.816 6.37 54.253757 9.28449 1338.839 6.37 54.626804 7.914997 1382.868 6.37 37.83858 4.5463367 1426.891 6.35 49.122604 8.906896 1470.919 6.37 6.9875383 -1.7860774 1514.936 6.29 37.346233 2.8904805 1558.969 6.35 3.4635794 0.73942816 1602.998 6.34 7. Comparison of TSP-16 of different suppliers and qualities In Table S 4 the compounds in the different arrays determined by the hierarchical clustering (HCA) performed on the combined supplier data set are given. Table S 4: Compounds used for the combined hierarchical clustering listed together with the corresponding arrays as defined in Figure 7 (see manuscript). The compounds are sorted according to the order obtained by the hierarchical clustering of the compounds. Array 1 Compound Distyrylphenolprop-ethoxylate-16- Array 5 Compound Distyrylphenolethoxylate-15-EO 19 Array 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 Compound EO 8-PO Distyrylphenolprop-ethoxylate-13EO 8-PO Array Compound 5 Distyrylphenolethoxylate-18-EO Distyrylphenolprop-ethoxylate-11EO 8-PO Distyrylphenolprop-ethoxylate-12EO 8-PO Distyrylphenolprop-ethoxylate-14EO 8-PO Distyrylphenolprop-ethoxylate-8-EO 8-PO Distyrylphenolprop-ethoxylate-7-EO 8-PO Distyrylphenolprop-ethoxylate-9-EO 8-PO Distyrylphenolprop-ethoxylate-5-EO 8-PO Distyrylphenolprop-ethoxylate-6-EO 8-PO Distyrylphenolprop-ethoxylate-10EO 8-PO Monostyrylphenolprop-ethoxylate11-EO 8-PO Monostyrylphenolprop-ethoxylate8-EO 8-PO Monostyrylphenolprop-ethoxylate9-EO 8-PO Monostyrylphenolprop-ethoxylate5-EO 8-PO Monostyrylphenolprop-ethoxylate12-EO 8-PO Monostyrylphenolprop-ethoxylate7-EO 8-PO 5 Tristyrylphenolethoxylate-22-EO 5 Tristyrylphenolethoxylate-21-EO 5 Tristyrylphenolethoxylate-11-EO 5 Tristyrylphenolethoxylate-24-EO 5 Tristyrylphenolethoxylate-10-EO 5 Distyrylphenolethoxylate-21-EO 5 Distyrylphenolethoxylate-12-EO 5 Distyrylphenolethoxylate-20-EO 5 Tristyrylphenolethoxylate-9-EO 5 Tristyrylphenolethoxylate-23-EO 5 Tristyrylphenolethoxylate-8-EO 5 Hexanophenone (Internal Standard) 5 Distyrylphenolethoxylate-22-EO 5 Distyrylphenolethoxylate-11-EO 5 Distyrylphenolethoxylate-10-EO Monostyrylphenolprop-ethoxylate10-EO 8-PO Monostyrylphenolprop-ethoxylate6-EO 8-PO Distyrylphenolprop-ethoxylate-15EO 8-PO Distyrylphenolprop-ethoxylate-18EO 8-PO Tristyrylphenolethoxylate-31-EO Distyrylphenolprop-ethoxylate-19EO 8-PO 5 Tristyrylphenolethoxylate-26-EO 5 Tristyrylphenolethoxylate-16-EO 5 Tristyrylphenolethoxylate-15-EO 5 Tristyrylphenolethoxylate-17-EO 5 5 Tristyrylphenolethoxylate-18-EO Tristyrylphenolethoxylate-14-EO 20 Array 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 Compound Distyrylphenolprop-ethoxylate-12EO 8-PO Tetrastyrylphenolethoxylate-25-EO Array 5 Compound Tristyrylphenolethoxylate-19-EO 5 Tristyrylphenolethoxylate-13-EO Monostyrylphenolprop-ethoxylate13-EO 8-PO Tetratstyrylphenolethoxylate-5-EO Distyrylphenolprop-ethoxylate-17EO 8-PO Monostyrylphenolethoxylate-24-EO Tetrastyrylphenolethoxylate-6-EO Tetrastyrylphenolethoxylate-24-EO Distyrylphenolethoxylate-29-EO Monostyrylphenolethoxylate-18-EO Monostyrylphenolethoxylate-19-EO Monostyrylphenolethoxylate-16-EO Monostyrylphenolethoxylate-17-EO Monostyrylphenolethoxylate-15-EO Monostyrylphenolethoxylate-21-EO Monostyrylphenolethoxylate-13-EO Monostyrylphenolethoxylate-14-EO Monostyrylphenolethoxylate-12-EO Monostyrylphenolethoxylate-20-EO Monostyrylphenolethoxylate-11-EO Monostyrylphenolethoxylate-23-EO Monostyrylphenolethoxylate-22-EO Tristyrylphenolethoxylate-29-EO Tetrastyrylphenolethoxylate-21-EO Tetrastyrylphenolethoxylate-23-EO Tetrastyrylphenolethoxylate-8-EO Tetrastyrylphenolethoxylate-7-EO Tetrastyrylphenolethoxylate-9-EO Tristyrylphenolethoxylate-30-EO Distyrylphenolethoxylate-13-EO Distyrylphenolethoxylate-19-EO Distyrylphenolethoxylate-14-EO Distyrylphenolethoxylate-17-EO Distyrylphenolethoxylate-16-EO 5 Tristyrylphenolethoxylate-20-EO 5 5 Tristyrylphenolethoxylate-12-EO Tristyrylphenolethoxylate-28-EO 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Tetrastyrylphenolethoxylate-14-EO Tetrastyrylphenolethoxylate-15-EO Distyrylphenolethoxylate-24-EO Tetrastyrylphenolethoxylate-16-EO Tristyrylphenolethoxylate-6-EO Distyrylphenolethoxylate-7-EO Distyrylphenolethoxylate-8-EO Tristyrylphenolethoxylate-7-EO Distyrylphenolethoxylate-9-EO Tristyrylphenolethoxylate-25-EO Distyrylphenolethoxylate-23-EO Tristyrylphenolethoxylate-5-EO Tetrastyrylphenolethoxylate-18-EO Tetrastyrylphenolethoxylate-13-EO Tetrastyrylphenolethoxylate-12-EO Tetrastyrylphenolethoxylate-17-EO Distyrylphenolethoxylate-27-EO Distyrylphenolethoxylate-5-EO Distyrylphenolethoxylate-6-EO Distyrylphenolethoxylate-26-EO Tetrastyrylphenolethoxylate-22-EO Tetrastyrylphenolethoxylate-20-EO Tetrastyrylphenolethoxylate-11-EO Tetrastyrylphenolethoxylate-19-EO Tetrastyrylphenolethoxylate-10-EO Tristyrylphenolethoxylate-27-EO Distyrylphenolethoxylate-28-EO Distyrylphenolethoxylate-25-EO 21 8. Statistical evaluation of the results on the content of the components in TSP-16 on their use for product identification As described, there were substantial differences in the contents of the main components, MSP-, DSP-, TSP- and TeSP ethoxylates, and the by-products, copolymerized propoxylatesethoxylates of MSP and DSP, in the commercial TSP-16. These differences could be used as signature for product identification. Therefore, model formulation samples were prepared containing TSP-16 of each supplier and quality (A, B1, B2, C). In order to validate the clustering on TSP-16 according to its suppliers, the samples used for the model formulation were not part of the original data set. These samples were then analyzed in order to test if they were assigned correctly to their suppliers using both PCA and hierarchical clustering. In the following, the results of the PCA (Figure S 6) and of the HCA (Figure S 7) are displayed. In case of the HCA the clustering according to the compounds (y-axis) is compressed as only the Component 2 (22.1 %) clustering according to the samples (x-axis) was of interest. Component 1 (63.2 %) Figure S 6: Principle component analysis of the data sets from supplier A (Cross), B1 (Arrow), B2 (Horizontal Bar) and C (Vertical bar) together with the data of the formulation samples containing TSP16 of supplier A (Square), B1 (Diamond), B2 (Circle) and C (Triangle). For the PCA the whole data set was taken including the 3 repetition analysis each production batch and formulation sample. 22 Figure S 7: Combined hierarchical clustering of the samples (x-axis) and the compounds (y-axis) detected in the samples of supplier A, B1, B2 and C together with sample of formulation containing TSP-16 of Supplier A, B1, B2 and C. Each sample is the average of 3 repetition analyses. The content of a compound in the analyzed sample is coded via black-white rectangles in the column beneath the respective samples. The color ranges from black, compound not detected, over grey, compound as abundant as internal standard, to white, compound with the maximum content. As demonstrated, both data analysis techniques were correctly assigning the TSP-16 in the model formulation to their corresponding suppliers. Using the PCA all four formulation samples were identified in their corresponding supplier cluster. They were all group within the clusters of their suppliers, as shown in the top dendrogram. The linkage of the formulation samples to a sample of the corresponding supplier cluster in the HCA was formed for all four samples at least two levels lower than the linkage of the respective supplier cluster. The assignments to the corresponding suppliers displayed in Figure S 7 were thus reasonable. The developed method combining instrumental analysis and multivariate data mining enables the identification of a supplier of TSP-16, without apparent matrix interference even though 23 another functionalized PEG, an ethoxylated alcohol, had been used as well in the chosen model formulation. 9. Example for interference on analysis of TSP-16 in agrochemical formulations The identification of the different suppliers in an agrochemical formulation can be interfered by end group sulfated or phosphated TSP ethoxylates, if they are contained in the agrochemical formulation. The chromatograms of commercially available TSP-16 terminal phosphated (a) and sulfated (b) are shown in Figure S 8 obtained in the positive ionization Signal intensity [counts] mode with the identified entities of DSP-, TSP- and TeSP ethoxylates. Acquisition time [min] (a) 24 Signal intensity [counts] Acquisition time [min] (b) Figure S 8: Extracted ion chromatograms obtained in the positive ionization mode of terminal phosphated (a) and sulfated (b) commercially available TSP-16. Indicated are the identified entities of DSP-, TSP and TeSP ethoxylates. As shown there are entities of DSP-, TSP- and TeSP ethoxylates detectable in commercially available terminal sulfated and phosphated TSP-16 in the chosen ionization mode. These entities of DSP-, TSP- and TeSP ethoxylates can be explained by incomplete phosphating or sulfating of the educt TSP-16 which was not removed after the reaction from the final commercially product. Possible interferences of these entities on the identification of the different suppliers of TSP-16 in the matrix of the model agrochemical formulations were investigated next. TSP-16 of supplier A, B2 and C and terminal sulfated TSP-16 were mixed in the model agrochemical as shown in Table S 5. Table S 5: Table of composition of the model agrochemical formulation containing terminal sulfated TSP16 alongside with TSP-16 Raw material Content [%] (w/w) Active ingredient 23.0 TSP-16 2.5 25 TSP-16, sulfated 2.5 Dispersing agent (non-ionic) 10.0 Emulsifier 1 (non-ionic, functionalized PEG) 15.0 Emulsifier 2 (non-ionic, functionalized PPG-PEG-co-polymer) 9.0 Hydrophbically modified Clay 0.1 Acid 0.4 Solvent 37.5 These formulation samples were subjected to the analysis and multivariate data analysis techniques developed and used in this work, with the results of the principal component Component 2 (33.1 %) analysis (PCA) shown in Figure S 9. Component 1 (45.2 %) Figure S 9: Principal component analysis of the data sets from supplier A (Cross), B1 (Arrow), B2 (Horizontal Bar) and C (Vertical bar) together with the data of the formulation samples containing TSP16 of supplier A (Square), B2 (Circle) and C (Triangle). For the PCA the whole data set was taken including the 3 repetition analysis each production batch and formulation sample. 26 As shown the entities of DSP-, TSP- and TeSP ethoxylates contained in end group sulfated TSP-16 interfere with the developed method. As formulations using a combination of TSP-16 and another TSP ethoxylates derivate are not widely spread this potential interference can be accepted. Nevertheless, further investigations should test the possibility for a correction of the observed interferences. 27