The miniaturization of device size and submicron process causes serious problems in conventional metallization due to the solubility of silicon and metal at the interface, such as an increasing contact resistance in the contact hole and interdiffusion between metal and silicon. Moreover, the interaction between Cu and Si is so strong and detrimental to the electrical performance of Si even at temperatures below $200^{circ}C$. Therefore it is necessary to implement a barrier layer between Cu and Si. So we study W-C-N diffusion barrier for prevent Cu diffusion as a function of $N_2$ gas flow and thermal stability. Especially, we also study the W-C-N diffusion barrier for analyzing the change of lattice constants.