Abstract
The elastic constants C Γ in the antiferro-quadrupole (AFQ) ordered state with two sublattices were studied by a mean field approximation. The temperature dependence of C Γ below the AFQ ordering temperature T Q in the zero magnetic field depends on the type of the AFQ order parameter and the applied strain. They are in principle the same as those of the parallel and perpendicular magnetic susceptibilities in the antiferromagnetic state. The magnetic field dependences of C Γ also show the characteristic behaviors depending on the type of the AFQ ordering and the applied strain. We discuss C Γ of CeB 6 which shows the AFQ ordering at T Q =3.3 K by comparing the calculated results.
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