  In this paper we calculated the elastic constants of $\gamma Ce$. The
calculations were performed self-consistently using the full potential
augmented plane wave plus local orbital (FP-APW+lo) method. We used the
generalized gradient approximation (GGA) to calculate the exchange-correlation
energy. The elastic constants were obtained from the second order derivatives
of energy with respect to lattice parameters. In this work we introduced a
method to impose a deformation to the primary structure to simplify our
calculations changing an fcc structure to bct.
