CHEMICAL GRAPH-THEORETIC CLUSTER EXPANSIONS Academic Article uri icon

abstract

  • A general computationally amenable chemicographtheoretic cluster expansion method is suggested as a paradigm for incorporation of chemical structure concepts in a systematic manner. The cluster expansion approach is presented in a formalism general enough to cover a variety of empirical, semiempirical, and even ab initio applications. Formally such approaches for the utilization of chemical structurerelated concepts may be viewed as discrete analogues of Taylor series expansions. The efficacy of the chemical structure concepts then is simply bound up in the rate of convergence of the cluster expansions. In many empirical applications, e.g., boiling points, chromatographic separation coefficients, and biological activities, this rate of convergence has been observed to be quite rapid. More note will be made here of quantum chemical applications. Relations to questions concerning size extensivity of energies and size consistency of wave functions are addressed. Copyright 1986 John Wiley & Sons, Inc.

published proceedings

  • INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY

author list (cited authors)

  • KLEIN, D. J.

citation count

  • 60

publication date

  • March 1986

publisher