To elucidate the origin of the large depression in the
melting
point of Kr in the crystalline carbon pores, we examined the pore-size
dependence of the melting point for the Kr confined in the hexagonally
shaped pores of turbostratic carbon, compared with the cylindrical
pores of amorphous silica of comparable size, by means of X-ray diffraction
(XRD). For the amorphous silica pores of cylindrical shape with radius R, the melting-point depression of the confined solid Kr
showed a usual 1/R dependence. However, for the solid
Kr confined to the crystalline carbon pores, a plot of the melting-point
depression against 1/R seems to cross the ordinate
at a finite positive value. This strongly suggests that a bulk component
of the confined solid has a melting point lower than that for a bulk
solid. In accord with this observation, simulation studies (Maddox,
M. W.; Gubbins, K. E. J. Chem. Phys.
1997, 107, 9659–9667; Kanda, H.; Miyahara, M.;
Higashitani, K. Langmuir
2000, 16, 8529–8535) have suggested that, in the cylindrical
pore of graphitic carbon wall, fluid molecules can no longer take
up their preferred close packed solid structure at low temperatures
but are instead forced into a different, higher entropy solid structure,
which is less stable than the bulk solid, due to the geometrical constraints
in pore shape. However, the XRD pattern observed clearly indicates
that the solid Kr confined in the crystalline carbon pores as well
as the amorphous silica pores takes the same face-centered cubic structure
as in the bulk solid.