A new method for estimating Morse potential's effective parameters has developed using the sublimation energy, the compressibility, and the lattice constant in expanded X-ray absorption fine structure spectra. Application the received parameters of Morse potential to calculate the mean square relative displacement, elastic constant, anharmonic effective potential, correlated function, and local force constant for diamond-type structure crystals such as silicon and germanium crystals, and face-centered cubic crystals as copper, silver. Numerical results agree well with the experimental values and other theories.