The elastic constants of face-centered-cubic solid krypton in the pres
sure range 0-8 GPa at 300 K have been calculated from the classical qu
asiharmonic lattice-dynamics method using several empirical potentials
. The calculated equation of state and elastic constants are in excell
ent agreement with experiments. The theoretical results confirm the ob
served trend C-11> C-12> C-44 derived recently from Brillouin-scatteri
ng measurements. Analysis of the mechanical stability conditions show
no evidence of structural instability that may lead to a suggested pha
se transformation above 30 GPa.