Quantum mechanical analysis on faujasite-type molecular sieves by using fermi dirac statistics and quantum theory of dielectricity

We studied faujasite type molecular sieves by using fermi dirac statistics and the quantum theory of dielectricity. we developed an empirical relationship for quantum capacitance which follows an inverse gaussian profile in the frequency range of 66hz - 3mhz. we calculated quantum capacitance,sample crystal momentum,charge quantization and quantized energy of faujasite type molecular sieves in the frequency range of 0.1 hz - 10 4 mhz. our calculations for diameter of sodalite and super-cages of faujasite type molecular sieves are in agreement with experimental results reported in this manuscript. we also calculated quantum polarizability,quantized molecular field,orientational polarizability and deformation polorizablity by using experimental results of ligia frunza etal [13]. the phonons are over damped in the frequency range 0.1hz - 10 khz and become a source for producing cages in the faujasite type molecular sieves. ion exchange recovery processes occur due to over damped phonon excitations in faujasite type molecular sieves and with increasing temperatures.