Three isotherms, termed I
total, I
1st, and I
2nd, were obtained from the data of successive differential sorptions at 30°C for the silk-water systems. The I
total, was obtained by accumulating the equilibrium uptakes at successive steps in the differential sorption. The I
lst was also obtained by accumulating the 1st-stage portion of equilibrium uptakes. The I
2nd was obtained by subtracting I
lst from I
total. The curves of I
total and I
lst, were sig-moidal, whereas that of I
2nd, which was concave against the abscissa, could be approximated to straight lines turned down at relative vapor pressure
p/
po around 0.65. The BET theory, Flory-Huggins' interaction parameter
X1, and the cluster function
G11/
V1, were employed to analyze the isotherms. The results for I
lst suggested that the structure of the corresponding amorphous region (termed
amorphous 1) was similar to that in common synthetic polymers. The BET parameter
nm for I
2nd was unusually small. The
X1 had a maximum value at
p/
po≈0.65. The
G11/
V1 increased markedly at
p/
po>0.65; the large positive values of
G11/
V1 meant the clustering tendency of sorbed water. The value of
p/
po≈0.65 had been considered to be the critical water vapor pressure for glassrubber transition of
amorphous 1 based on the previous differential sorption experiments. The conclusion which explains consistently these findings is that the sorption on
amorphous 2 is caused by the swelling pressure induced by the sorption of water into
amorphous 1 and the sorption behavior of
amorphous 2 varies before and after the glass-rubber transition of the
amorphous 1. Thus, for the amorphous structure of silk fibroin has proposed a following model:
amorphous 2 is located in a matrix of
amorphous 1.
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