On the non-integer number of particles in molecular system domains: treatment and description

Verfasser / Beitragende:
[Roberto Bochicchio]
Ort, Verlag, Jahr:
2015
Enthalten in:
Theoretical Chemistry Accounts, 134/11(2015-11-01), 1-9
Format:
Artikel (online)
ID: 605488592
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024 7 0 |a 10.1007/s00214-015-1743-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00214-015-1743-2 
100 1 |a Bochicchio  |D Roberto  |u Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IFIBA (CONICET), Ciudad Universitaria, 1428, Buenos Aires, Argentina  |4 aut 
245 1 0 |a On the non-integer number of particles in molecular system domains: treatment and description  |h [Elektronische Daten]  |c [Roberto Bochicchio] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Grand-canonical ensemble  |2 nationallicence 
690 7 |a Electronic structure  |2 nationallicence 
690 7 |a Density matrix  |2 nationallicence 
690 7 |a Descriptors  |2 nationallicence 
773 0 |t Theoretical Chemistry Accounts  |d Springer Berlin Heidelberg  |g 134/11(2015-11-01), 1-9  |x 1432-881X  |q 134:11<1  |1 2015  |2 134  |o 214 
856 4 0 |u https://doi.org/10.1007/s00214-015-1743-2  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00214-015-1743-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Bochicchio  |D Roberto  |u Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IFIBA (CONICET), Ciudad Universitaria, 1428, Buenos Aires, Argentina  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Theoretical Chemistry Accounts  |d Springer Berlin Heidelberg  |g 134/11(2015-11-01), 1-9  |x 1432-881X  |q 134:11<1  |1 2015  |2 134  |o 214