Local electronic bond energy

The electronic bond energy Ef for each individual atom i can be defined through the local density of states by... 

Bond Energy and Enthalpy The Localized Electron Bonding Model Lewis Structures Exceptions to the Octet Rule Resonance... 

Another aspect of wave function instability concerns symmetry breaking, i.e. the wave function has a lower symmetry than the nuclear framework. It occurs for example for the allyl radical with an ROHF type wave function. The nuclear geometry has C21, symmetry, but the Cay symmetric wave function corresponds to a (first-order) saddle point. The lowest energy ROHF solution has only Cj symmetry, and corresponds to a localized double bond and a localized electron (radical). Relaxing the double occupancy constraint, and allowing the wave function to become UHF, re-establish the correct Cay symmetry. Such symmetry breaking phenomena usually indicate that the type of wave function used is not flexible enough for even a qualitatively correct description. 

Electron-electron repulsion integrals, 28 Electrons bonding, 14, 18-19 electron-electron repulsion, 8 inner-shell core, 4 ionization energy of, 10 localization of, 16 polarization of, 75 Schroedinger equation for, 2 triplet spin states, 15-16 valence, core-valence separation, 4 wave functions of, 4,15-16 Electrostatic fields, of proteins, 122 Electrostatic interactions, 13, 87 in enzymatic reactions, 209-211,225-228 in lysozyme, 158-161,167-169 in metalloenzymes, 200-207 in proteins ... 

When the combined system of adatom and substrate is in its ground state, so that the lowest energy levels are each doubly occupied with an a- and a /2-spin electron, then, if two electrons are in a localized level, a localized surface bond will be formed. However, if the localized level is unoccupied, then an adbond formation will be achieved without localization of the bonding electrons (i.e., only delocalized electrons will be involved in the adbond). In the case of electron localization, the type of adbond is determined by the charge order of the adatom state, namely,... 

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