Supporting Information Reliable dn/dc values of cellulose, chitin, and cellulose triacetate dissolved in LiCl/N,N-dimethylacetamide for molecular mass analysis Yuko Ono, Takashi Ishida, Hiroto Soeta, Tsuguyuki Saito, and Akira Isogai* Department of Biomaterials Science, Graduate School of Agricultural and Life Sciences, The University of Tokyo, Tokyo 113-8657, Japan Figure S1. Formation of gel-like precipitate by dilution of the original A-chitin solution in 1.0% w/v LiCl/DMAc to 0.5% w/v LiCl/DMAc. 1 107 (a) (b) 106 4x10-5 105 2x10-5 104 103 Differental refractive index 0.5x10 g/mL 0.25x10-4 Concentration (g/mL) Molecular mass (g/mol) 2x10-4 6x10-5 -4 7 8 9 10 1X10-4 5x10-5 dn/dc=0.0084 R2=0.9989 0 0 6 2x10-4 5x10 -4 0 11 1X10 -3 2x10-3 2x10-3 Concentration (g/mL) Elution volume (mL) Figure S2. SEC elution patterns and corresponding molecular mass plots for F-MFC dissolved in 0.5% w/v LiCl/DMAc (a), and relationship between F-MFC concentration and differential refractive index of solutions in 0.5% w/v LiCl/DMAc, determined by the off-line RI method (b). Molecular mass (g/mol) (a) 10 6 10 5 (b) 6x10 -5 4x10 -5 10 4 2x10 -5 10 3 0 6 7 8 9 Elution volume(mL) 10 5x10 -4 8x10 -5 11 Differental refractive index 1.1x10-3 g/mL 0.7x10-3 0.5x10-3 0.24x10-3 -3 0.13x10 Concentration (g/mL) 10 7 4x10 -4 3x10 -4 2x10 -4 1X10 -4 dn/dc=0.0911 R2=0.9997 0 0 1X10 -3 2x10 -3 3x10 -3 4x10 -3 5x10 -3 Concentration (g/mL) Figure S3. SEC elution patterns and corresponding molecular mass plots for A-chitin dissolved in 1.0% w/v LiCl/DMAc (a), and relationship between A-chitin concentration and differential refractive index of A-chitin in 1.0% w/v LiCl/DMAc, determined by the off-line RI method (b). 2 Differental refractive index 1.5x10 -3 in 1.0% LiCl/DMAc in water 1.0X10 -3 dn/dc=0.1461 R2=0.9999 5.0x10 -4 dn/dc=0.0666 R2=0.9998 0 0 2x10 -3 4x10 -3 6x10 -3 8x10 -3 10 -2 Concentration (g/mL) Figure S4. Relationship between cellobiose concentration and differential refractive index for cellobiose solutions in 1.0% w/v LiCl/DMAc and water, determined by the off-line RI method. Differental refractive index 8x10 -3 6x10 -3 4x10 -3 2x10 -3 dn/dc=0.390 R2=0.9996 0 0 4.0x10 -3 8.0x10 -3 1.2x10 -2 1.6x10 -2 Concentration (g/mL) Figure S5. Relationship between LiCl concentration and differential refractive index of LiCl/DMAc solution, determined by the off-line RI method. 3 Calculation of the Amount of LiCl Apparently Bound to One Repeating Unit of Cellulose and Chitin in 0.5% and 1.0% w/v LiCl/DMAc. It was assumed that 1g of cellulose or chitin apparently bind with a g LiCl in a LiCl/DMAc solution. Then, the solute concentration should be corrected to (1+a) g. Because a g LiCl is apparently bound to 1 g cellulose or chitin, the differential refractive index of the surrounding LiCl/DMAc decreases from the original dn/dc value for the 0.5% or 1.0% w/v LiCl/DMAc by [the dn/dc value of LiCl (0.390 mL/g) × a] (mL/g) during off-line RI analysis. This decrease in the LiCl concentration of the surrounding solvent, caused by consumption of LiCl through the formation of covalent bond-like celluloseLiCl or chitin-LiCl structures in the LiCl/DMAc solution, cannot be ignored in the off-line RI method, because of the high cellulose or chitin concentrations used in the analysis. Nnamely, the large amounts of hydroxyl groups of cellulose or chitin consume a large amount of LiCl through the formation of covalent bond-like structures. In contrast, this correction can be ignored for the dn/dc values determined by the SEC/MALLS/RI method, because of sufficiently dilute cellulose or chitin concentrations in each SEC elution volume. Thus, the reference dn/dc values of the 0.5% and 1.0% w/v LiCl/DMAc without cellulose or chitin molecules in the off-line RI method is overestimated. Correspondingly, the dn/dc values of cellulose and chitin in, for instance, 1.0% w/v LiCl/DMAc is underestimated from 0.131 and 0.138 mL/g to 0.065 and 0.091 mL/g, respectively (Table 2 in the main text). Thus, the reference dn/dc value of 1.0% w/v LiCl/DMAc should be corrected by subtracting the [dn/dc value of LiCl (0.390 mL/g) × a] (or dLiCl × a), from the measured dn/dc value of the reference 1.0% LiCl/DMAc, The dn/dc value of 1 g cellulose or chitin determined by the SEC/MALLS/RI method, corrected to be (1+a) g as solute [or dMALLS/(1+a)], should be the same as the corrected dn/dc value determined by the off-line RI method as below, + × = 1+ 1+ 4 Figure S6. Schematic models of LiCl concentration gradient in cellulose/LiCl/DMAc solutions, depending on the cellulose concentration, assuming the formation of covalent bond-like structures of cellulose-LiCl in the solution. 5
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