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Abstract:

The energy of an atomic or molecular system undergoing Coulomb interactions is well known at the integer numbers of its neutral or ionic configurations. Nevertheless, the physical domains (atoms in molecules) inside the whole molecular system possess a non-integer number of particles due to the electron exchange with its surrounding. Hence, the dependence of the energy, the density matrix and their marginal distributions (reduced density matrices) with the number of particles become a problem of fundamental importance in the description of the electron distribution, its properties and transformations. In this work, we present a rigorous mathematical and physical basis for the treatment of this problem within the grand-canonical statistical distribution of few particles. In this context, the derivatives of the energy and the density referred as chemical descriptors (especially chemical potential and hardness) are analyzed in both cases, when the system is isolated and when it is subject to the interaction with an environment. The ground state energy convexity dependence with the number of particles of these systems simplifies the description. © 2015, Springer-Verlag Berlin Heidelberg.

Registro:

Documento: Artículo
Título:On the non-integer number of particles in molecular system domains: treatment and description
Autor:Bochicchio, R.C.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IFIBA (CONICET), Ciudad Universitaria, Buenos Aires, 1428, Argentina
Palabras clave:Density matrix; Descriptors; Electronic structure; Grand-canonical ensemble
Año:2015
Volumen:134
Número:11
DOI: http://dx.doi.org/10.1007/s00214-015-1743-2
Título revista:Theoretical Chemistry Accounts
Título revista abreviado:Theor. Chem. Acc.
ISSN:1432881X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1432881X_v134_n11_p_Bochicchio

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Citas:

---------- APA ----------
(2015) . On the non-integer number of particles in molecular system domains: treatment and description. Theoretical Chemistry Accounts, 134(11).
http://dx.doi.org/10.1007/s00214-015-1743-2
---------- CHICAGO ----------
Bochicchio, R.C. "On the non-integer number of particles in molecular system domains: treatment and description" . Theoretical Chemistry Accounts 134, no. 11 (2015).
http://dx.doi.org/10.1007/s00214-015-1743-2
---------- MLA ----------
Bochicchio, R.C. "On the non-integer number of particles in molecular system domains: treatment and description" . Theoretical Chemistry Accounts, vol. 134, no. 11, 2015.
http://dx.doi.org/10.1007/s00214-015-1743-2
---------- VANCOUVER ----------
Bochicchio, R.C. On the non-integer number of particles in molecular system domains: treatment and description. Theor. Chem. Acc. 2015;134(11).
http://dx.doi.org/10.1007/s00214-015-1743-2