1 Supporting information 2 Quantitative on-line concentration for capillary electrophoresis with 3 inkjet sample introduction technique 4 Ying Rang, Hulie Zeng, Hizuru Nakajima, Shungo Kato, Katsumi Uchiyama* 5 Department of Applied Chemistry, Graduate School of Urban Environmental Sciences, Tokyo 6 Metropolitan University, Minamiohsawa, Hachioji, Tokyo 192-0397, Japan 7 8 9 10 11 Corresponding author: 12 Prof. Dr. Katsumi Uchiyama 13 Department of Applied Chemistry 14 Graduate School of Urban Environmental Sciences 15 Tokyo Metropolitan University 16 Minamiohsawa, Hachioji, Tokyo 192-0364, Japan 17 Phone: +81 42 677 2835, FAX +81 42 677 2821 18 19 Table of Contents: 20 Figure S1. Time course variation of the weight of total droplets ejected under evaporation 21 conditions. 22 Table S1. Calculation of the average weight and volume of each droplet for standard sample 23 Table S2. Ratio of sample zone length to total length of the capillary 24 Table S3. Linearity of ejected droplet number in injection 25 Figure S2. Linear relationship between peak area and sample concentration for methylxanthines 26 by quantitative on-line concentration CE. 27 28 29 Figure S1. Time course variation of the weight of total droplets ejected under evaporation 30 conditions. No. 1 to 4 represented four ejections of the same solution by inkjet microchip, 31 each time 10000 droplets [1]. 32 In Fig. S1, the temperature was 20℃ and humidity was 30 RH%. In the measurement of 33 weight for each sample droplet in inkjet injection (25 V, 24 µs), a 0.1 mM mixed standard solution 34 of theobromine, caffeine and theophylline was used. A bottle partly filled with water was placed in 35 the balance, and the inkjet microchip was fixed right above the bottle. The balance was reset after 36 the value on the balance reached a constant value, then 10000 Droplets of the standard solution 37 were ejected for each time and the procedure repeated for 4 times. 4 Series of linear relationships 38 between time and weight of the total ejected sample droplets under evaporation conditions were 39 obtained. 40 41 Table S1. Calculation of the average weight and volume of each droplet for the standard 42 sample [1] Ejection No. 2~1 3~2 4~3 Average Density (g/mL) Volume (pL) Time (s) 0.678 0.680 0.684 / 10,000 droplets 1 droplet Wn+1 (g) Wn (g) ΔWn (g) 3.638 3.641 3.642 3.640 3.635 3.637 3.640 3.637 1.0039 310 ± 53.7 3.3×10-7 3.5×10-7 2.5×10-7 3.1×10-7 43 In Table S1, No. 1 to 4 represented four ejections of same solution by inkjet microchip, each 44 time 10000 droplets. ΔWn in the ejection No. 2~1, 3~2 and 4~3 represented the weight of ejected 45 10000 droplets in second, third and fourth ejection (without the influence of evaporation). 46 In Table S1, the temperature was 20℃ and the relative humidity was 30 RH%. In the 47 measurement of the weight of each sample droplet in the inkjet injection (25 V, 24 µs), 0.1 mM of 48 a mixed standard solution of theobromine, caffeine and theophylline was used. Depending on 49 Verkouteren et al’s method [1], ΔW1 (weight for one droplet, the difference between W2 and W1 50 divided by 10000) was 3.312×10-7 g. Repeated 3 times from No. 2~1 to No. 4~3, and the average 51 weight of one sample droplet was calculated. Lastly, the volume of each droplet of the standard 52 sample solution was calculated to be 310 ± 53.7 pL. Since the whole procedures for measuring the 53 average volume of one ejected droplet were under low-humidity conditions, the influence of 54 evaporation was not neglectable and this resulted in a high standard deviation of the average 55 volume of one ejected droplet. 56 57 Table S2. Ratio of sample zone length to total length of the capillary Droplet number 5 10 25 50 75 100 250 400 500 750 1000 58 59 60 61 62 63 64 Sample volume (mL) Length of the sample zone (cm) Ratio of the sample zone length* (%) 1.55×10-6 3.10×10-6 7.74×10-6 1.55×10-5 2.32×10-5 3.10×10-5 7.74×10-5 1.24×10-4 1.55×10-4 2.32×10-4 3.10×10-4 0.08 0.16 0.39 0.79 1.18 1.58 3.94 6.23 7.89 11.83 15.77 0.15 0.30 0.76 1.52 2.28 3.04 7.61 12.02 15.22 22.84 30.45 *Ratio of the sample zone length (%) = (the length of sample zone/the total length of the capillary) ×100%. In Table S2, temperature was 20℃ and humidity was 30 RH%. Capillary: I.D. 50 µm, O.D. 375 µm; Total length 51.8 cm, effective length 43.3 cm; cross sectional area 1.96×10-5 cm2. Table S3. Linearity of ejected droplet number in injection Methylxanthine Linearity* (5 – 100 droplets) Theobromine Caffeine Theophylline y = 12634.2x + 123.0 y = 17331.2x - 888.4 y = 24194.2x - 544.7 *x: droplet number; y: peak area (μV.s) R2 0.987 0.968 0.984 65 66 Figure S2. Linear relationship between peak area and sample concentration for 67 methylxanthines by quantitative on-line concentration CE. Methylxanthines were analyzed under 68 optimized quantitative CE conditions. 69 References 70 [1] Verkouteren R. M., Verkouteren J. R., Anal. Chem., 2009, 81, 8577-8584.