Total energy method for solids and solid surfaces

James R. Chelikowsky, Steven G. Louie, David Vanderbilt, C. T. Chan

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We present a method for the computation of cohesive and structural properties of solids. The method is based on a local orbital description of the wave functions, an ab initio pseudopotential construction for the ion‐core potential, and a local density treatment of exchange and correlation energies. Key elements of the method include the direct computation in real space of all the matrix elements, a noniterative evaluation of the total energy, and the transferability of the total electronic potential. The combination of these elements allows an accurate, yet less complex, treatment of a wide variety of systems. We shall illustrate the method by considering several prototypical systems: the diamond crystal, the diamond (111) surface, the silicon crystal, and the molybdenum crystal. With respect to the bulk crystalline properties, i.e., the cohesive energy, the lattice constant, the bulk modulus, etc., we obtain state of the art agreement with experiment. With respect to the diamond surface, we have considered several models for the reconstructed 2 × 1 surface. Of the models considered, we find only the undimerized π‐bonded chain reconstruction has a total energy lower than the relaxed 1 × 1 surface.

Original languageAmerican English
Pages (from-to)105-120
Number of pages16
JournalInternational Journal of Quantum Chemistry
Issue number18 S
StatePublished - 1984

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry


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