Ak. Ramdas et al., EFFECT OF ISOTOPIC CONSTITUTION OF DIAMOND ON ITS ELASTIC-CONSTANTS -C-13 DIAMOND, THE HARDEST KNOWN MATERIAL, Physical review letters, 71(1), 1993, pp. 189-192
Elastic moduli of C-13 diamond, deduced from the Brillouin shifts expe
rienced by inelastically scattered monochromatic radiation, are approx
imately 0.5% higher than the corresponding values for natural diamond.
This suggests C-13 diamond is harder than natural diamond. A simple m
odel incorporating the zero-point motion and the anharmonicity of the
interatomic forces is proposed; it explains quantitatively the increas
e in the elastic moduli, the decrease in the lattice parameter, and a
correction to the Raman frequency beyond its M-1/2 dependence (where M
is the average atomic mass) observed for C-13 diamond with respect to
their values for natural diamond.