Spin populations for molecular systems
The statistical population analysis for the spin distribution of molecular systemsis developed in a similar way to that of particle population in molecules and crystalline solid state systems. The formalism of the number of particles obtained by means of thequantum statistical theory is applied to t...
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1991
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v24_n13_p2937_Reale http://hdl.handle.net/20.500.12110/paper_09534075_v24_n13_p2937_Reale |
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paper:paper_09534075_v24_n13_p2937_Reale2023-06-08T15:55:07Z Spin populations for molecular systems Reale, Héctor Fernando Bochicchio, Roberto Carlos Crystalline solids Molecular systems Numerical example Particle population Population analysis Quantum statistical theory Semi-empirical approach Semi-empirical methods Spin distribution Spin population Statistical numbers Information theory Spin dynamics Population statistics The statistical population analysis for the spin distribution of molecular systemsis developed in a similar way to that of particle population in molecules and crystalline solid state systems. The formalism of the number of particles obtained by means of thequantum statistical theory is applied to this distribution and the corresponding statisticalunpaired number of particles arises. Then a partition for that population is proposed. Itis shown that this method is valid for any kind of wavefunction. Information theory isused in order to interpret the proportionality relation between the statistical number ofunpaired spin particles and the corresponding causal one. Also, the connection withMulliken's type of analysis of spin distributions is discussed. Numerical examples arepresented for UHF (or dods) wavefunctions in the ami semiempirical approach. Someof these examples help to justify using semiempirical methods for describing spin distributions in molecular systems because of their agreement with experimental data. © 1991 IOP Publishing Ltd. Fil:Reale, H.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Bochicchio, R.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1991 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v24_n13_p2937_Reale http://hdl.handle.net/20.500.12110/paper_09534075_v24_n13_p2937_Reale |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Crystalline solids Molecular systems Numerical example Particle population Population analysis Quantum statistical theory Semi-empirical approach Semi-empirical methods Spin distribution Spin population Statistical numbers Information theory Spin dynamics Population statistics |
spellingShingle |
Crystalline solids Molecular systems Numerical example Particle population Population analysis Quantum statistical theory Semi-empirical approach Semi-empirical methods Spin distribution Spin population Statistical numbers Information theory Spin dynamics Population statistics Reale, Héctor Fernando Bochicchio, Roberto Carlos Spin populations for molecular systems |
topic_facet |
Crystalline solids Molecular systems Numerical example Particle population Population analysis Quantum statistical theory Semi-empirical approach Semi-empirical methods Spin distribution Spin population Statistical numbers Information theory Spin dynamics Population statistics |
description |
The statistical population analysis for the spin distribution of molecular systemsis developed in a similar way to that of particle population in molecules and crystalline solid state systems. The formalism of the number of particles obtained by means of thequantum statistical theory is applied to this distribution and the corresponding statisticalunpaired number of particles arises. Then a partition for that population is proposed. Itis shown that this method is valid for any kind of wavefunction. Information theory isused in order to interpret the proportionality relation between the statistical number ofunpaired spin particles and the corresponding causal one. Also, the connection withMulliken's type of analysis of spin distributions is discussed. Numerical examples arepresented for UHF (or dods) wavefunctions in the ami semiempirical approach. Someof these examples help to justify using semiempirical methods for describing spin distributions in molecular systems because of their agreement with experimental data. © 1991 IOP Publishing Ltd. |
author |
Reale, Héctor Fernando Bochicchio, Roberto Carlos |
author_facet |
Reale, Héctor Fernando Bochicchio, Roberto Carlos |
author_sort |
Reale, Héctor Fernando |
title |
Spin populations for molecular systems |
title_short |
Spin populations for molecular systems |
title_full |
Spin populations for molecular systems |
title_fullStr |
Spin populations for molecular systems |
title_full_unstemmed |
Spin populations for molecular systems |
title_sort |
spin populations for molecular systems |
publishDate |
1991 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09534075_v24_n13_p2937_Reale http://hdl.handle.net/20.500.12110/paper_09534075_v24_n13_p2937_Reale |
work_keys_str_mv |
AT realehectorfernando spinpopulationsformolecularsystems AT bochicchiorobertocarlos spinpopulationsformolecularsystems |
_version_ |
1768544459457298432 |