STATIC AND DYNAMIC PROPERTIES OF LIQUID SILICON

The potential function of liquid silicon has been calculated through P ercus Yevick, hypernetted chain and Rao Joardar's equation. From the p otential function, the Bhatia-Singh's beta and delta parameters have b een calculated. The phonon frequencies have been computed through the use of Takeno Goda and Bhatia-Singh's equations. From the slopes of om ega(L)(k) and omega(T)(k) the elastic constants have been obtained. It is found that in the case of Bhatia-Singh and Takeno and Goda the slo pes of omega versus k are the same and hence they give the same elasti c constants. From the elastic constants and using Nath's equation we h ave calculated the absorption band position of liquid Si which comes a t about the same position as that in solid state. The calculated longi tudinal phonon frequencies through Bhatia Singh's equations have been used to evaluate the frequency dependent structure factor S(k, omega) versus omega in the range k = 1.4 to 3.9 Angstrom A(-1). It is found t hat at low k, S(S omega) shows characteristics similar to that of liqu id Rb and Li. At higher values of k it becomes a single peaked curve r esembling that of S-s(S omega), the self part of the dynamic structure factor. Thus it is found that qualitatively liquid silicon resembles metallic Rb and Li.