Abstract: The spectral function P(ω) of the spin pair correlation function in a coupled quadrupole system are evaluated using the pade approximation starting from the exact derivation of frequency second and fourth order moments at high temperature limit. Different excited stste model of the spectral functions are given for different wave vectors.The effects of these parameters on the generalized spectral function are discussed.

Key words: quadrupole, frequency moment, pade approximation, spectral function, quadrupole, frequency moment, pade approximation