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On the use of symmetry-adapted crystalline orbitals in SCF-LCAO periodic calculations. I. The construction of the symmetrized orbitals

โœ Scribed by C. M. Zicovich-Wilson; R. Dovesi


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
206 KB
Volume
67
Category
Article
ISSN
0020-7608

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โœฆ Synopsis


A computational procedure for generating space-symmetry-adapted

ลฝ .

Bloch functions BF is presented. The case is discussed when BF are built from a basis of ลฝ w x. local functions atomic orbitals AOs . The method, which is completely general in the sense that it applies to any space group and AOs of any quantum number, is based on the diagonalization of Dirac characters. For its implementation, it does not require as an input character tables or related data, since this information is automatically generated starting from the space group symbol and the AO basis set. Formal aspects of the method, not available in textbooks, are discussed.


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The utility of the character projection operator in determining the symmetry of molecular orbitals and in the construction of hybrid bond orbitals is discussed. Examples from the author's work are mentioned. These are topics which this author discussed in detail with Jean-Louis Calais during the pas