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Expressions are derived for the first seven irreducible cluster sums, β1, ⋯, β7, for plane-square, simple-cubic, and body-centered cubic Ising models. The connection between these expressions and high-temperature expansions of the zero-field partition function and zero-field inverse susceptibility is indicated. Comparison is made with the work of other authors.
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Rushbrooke et al. (1962) studied this question.
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