Improvement on the Carnahan-Starling Equation of State for Hard-sphere Fluids

Making use ofWeierstrass's theorem and Chebyshev's theorem and referring to the equations of state of the scaled-particle theory and the Percus-Yevick integration equation, we demon-strate that there exists a sequence of polynomials such that the equation of state is given by the limit of the sequence of polynomials. The polynomials of the best approximation from the third order up to the eighth order are obtained so that the Carnahan-Starling equation can be improved successively. The resulting equations of state are in good agreement with the simulation results on the stable fluid branch and on the metastable fluid branch.     

f.c.c./f.c.c.LUCS的电子结构

在只计入最近邻间相互作用的紧束缚近似下,计算了由两种面心立方金属组成的多层超薄共格结构(LUCS)的电子能谱和态密度。 关键词：