Collins's conjecture ͓Z. Naturforsch. 48A, 68 ͑1993͔͒ that the correlation energy of a system is proportional to the Jaynes entropy ͓in Papers on Probability, Statistics and Statistical Physics, edited by R. Rosencrantz ͑Reidel, Dordrecht, 1983͔͒ is investigated for small molecular systems. Numerical evidence supporting the conjecture is obtained by computing entropies from highly correlated configuration-interaction wave functions at various correlation levels, using sequences of increasingly larger basis sets. Further evidence is also obtained by examination of results obtained from a variety of correlation methods utilizing a fixed basis set.
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