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ISBN-10: 0470143541

ISBN-13: 9780470143544

ISBN-10: 047019670X

ISBN-13: 9780470196700

The Advances in Chemical Physics sequence offers the chemical physics and actual chemistry fields with a discussion board for severe, authoritative reviews of advances in each quarter of the self-discipline. packed with state-of-the-art study said in a cohesive demeanour now not discovered in other places within the literature, every one quantity of the Advances in Chemical Physics sequence serves because the ideal complement to any complex graduate type dedicated to the examine of chemical physics.


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Additional info for Advances in Chemical Physics: The Application of Wave Mechanical Methods to the Study of Molecular Properties, Volume 8

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Formally it is necessary to find linear combinations of the quotient functions which, when multiplied by the common factor @a, diagonalize the energy of a crystal D and Aw D 6 hamiltonian with diagonal elements Aw and molecular interaction energies in the non-diagonal places. The MO analogue is the familiar problem of finding energy levels and molecular orbitals for one electron in an LCAO basis by diagonalizing the energy of a molecular hamiltonian with diagonal + + + THEORY OF MIXED-CRYSTAL SPECTRA + 33 elements a and a 6 (for an "impurity atom") and by nondiagonal neighbour interactions p.

Note Added in Proof A certain revival of the ligand-field theory has recently taken place through the introduction of the angular overlap model [Jsrgensen, C. , and Schmidtke, H. , J . Chem. Phys. 39, 1422 (1963); Schmidtke, H. Naturjorsch. Teil a, in press; Schaffer, C. , and Jsrgensen, C. , submitted to Mol. ] and the observation that this model, somewhat related to the Huckel theory but'utilizing the hydrogenic form of the angular 2-functions in Eq. (l), has the same consequences as a contact term consisting of a singular potential acting close to each ligand nucleus.

For even m a sign change of /? inverts the I = 0 manifold symmetrically about the mean energy; for odd m the sign change sends the I = 0 manifold into the Y = nlm manifold. The levels are identical in energy in the two cases, but ordered differently with respect to their r values: this change is important in dealing with intensities, as we shall see. For a set guest concentration m, increasing the total number n of molecules merely adds new manifolds of levels to the secular equation, there being no interactions with existing manifolds.

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Advances in Chemical Physics: The Application of Wave Mechanical Methods to the Study of Molecular Properties, Volume 8

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