Three different methods of computing irreducible cluster integrals of hardhyphen;sphere gases are developed and discussed. The first one employs integration in configuration space. The second one involves the multiple summation of infinite series of Webermdash;Schafheitlinhyphen;type integrals. The third one is an extension of Nijboermdash;van Hove's modified Fourier transformation method. Of values of components of the fifth virial coefficient, Nos. 1, 2, 3, 4 have been obtained by the first method; Nos. 2, 5, 6, 7, 8 by the second method; and Nos. 1ndash;10 also by a Monte Carlo method. The value ofE/b4is 0.1097. The value of the fifth virial coefficient for squarehyphen;mound potential has also been given.
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