Theory of the two-center bond

  • Harrison W
  • 12

    Readers

    Mendeley users who have this article in their library.
  • 191

    Citations

    Citations of this article.

Abstract

Tight-binding theory, with universal parameters, provides direct prediction of bond energies, bond lengths, and force constants for ordinary molecular and solid-state two-center bonds. Corrections, which are dominated by nonorthogonality of orbitals on neighboring atoms, are included and are seen to be given approximately by a two-body repulsion proportional to the inverse fourth power of internuclear distance. The bond properties depend upon metallicity, increasing in a series such as C, Si, Ge, and Sn, and are strongly affected by the coupling between the bond and its environment at high metallicity. This effect, called metallization, is calculated in perturbation theory. The properties depend also strongly upon the polarity of the bond and upon the decrease in the effect of metallization with increasing polarity. Finally, the properties depend upon bond order. This effect is characterized by a π-bonding strength, which for a resonating bond is enhanced by a factor of the square root of the number of sites between which the bond resonates. Formulas are derived for the bond energies, lengths, and force constants in terms of these parameters and are compared with experiment.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Walter A. Harrison

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free