Abstract
A general MO localization process based on Elementary Jacobi Rotations is described. The procedure is connected with Boys, Ruedenberg and Mezey MO localization algorithms.
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R. Carbó-Dorca, Mathematical aspects of the LCAO MO Density Function (1): Atomic Partition, Metric Structure and Practical Applications; J. Math. Chem. (Submitted for Publication)
R. Carbó-Dorca, Mathematical aspects of the LCAO MO Density Function (2): Mathematical Aspects of the LCAO MO First Order Density Function (2): Relationships between Density Functions; J. Math. Chem. (Submitted for Publication)
Pipek J., Mezey P.G. (1989). J. Chem. Phys. 90: 4916
Edminston C., Ruedenberg K. (1963). Rev. Mod. Phys. 35: 457
Boys F. (1960). Rev. Mod. Phys. 32: 296
R. Carbó-Dorca and P. Bultinck, J. Math. Chem. 36 (2004) 201 and 36 (2004) 231.
See, the application examples: (a) R. Carbó, Ll. Domingo and J.J. Peris, Adv. Quantum Chem. 15 (1982) 215. (b) Ll. Amat and R. Carbó-Dorca, J. Chem. Inf. Comput. Chem. Sci. 40 (2000) 1188.
Jacobi C.J.G. (1846). J. Reine Angew. Math. 30: 51
(A) J.H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon Press, Oxford, 1965). (B) J.H. Wilkinson and C. Reinsch, Linear Algebra (Springer Verlag, Berlin, 1971). (C) B.N. Parlett, The Symmetric EIgenvalue Problem (SIAM, Philadelphia, 1998). (D) G.W. Stewart, Matrix Algorithms. Volume II: Eigensystems (SIAM, Philadelphia, 2001).
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Carbó-Dorca, R., Bultinck, P. Mathematical aspects of the LCAO MO first order density function (3): A general localization procedure. J Math Chem 43, 1069–1075 (2008). https://doi.org/10.1007/s10910-007-9242-x
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DOI: https://doi.org/10.1007/s10910-007-9242-x