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We propose a new semi empirical expression of the virial coefficients for ahard sphere fluid which is valid in the disordered phase over the whole densityrange. The results are in good agreement with the numerical data and betterthan those of the well-known Carnahan & Starling equation of state in thedomain of validity of the later; moreover this new expression accounts for thesingularity which is required for the equation of state at the close randompacking limit.

A semi empirical expression of the virial coefficients for hard sphere fluids at all density