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Density-Functional Theory of Atoms and Molecules.

This text is a rigorous, unified account of the fundamental principles of the density-functional theory of the electronic structure of matter and its applications to atoms and molecules. Containing a detailed discussion of the chemical potential and its derivatives, it provides an understanding of t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Parr, Robert G.
Otros Autores: Weitao, Yang
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : Oxford University Press, 2015.
Colección:International series of monographs on chemistry.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Parr, Robert G. 
245 1 0 |a Density-Functional Theory of Atoms and Molecules. 
260 |a Oxford :  |b Oxford University Press,  |c 2015. 
300 |a 1 online resource (344 pages) 
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490 1 |a International Series of Monographs on Chemistry ;  |v v. 16 
588 0 |a Print version record. 
505 0 |6 880-01  |a 1. Elementary wave mechanics; 1.1 The Schrödinger equation; 1.2 Variational principle for the ground state; 1.3 The Hartree-Fock approximation; 1.4 Correlation energy; 1.5 Electron density; 1.6 Hellmann-Feynman theorems and virial theorem; 2. Density matrices; 2.1 Description of quantum states and the Dirac notation; 2.2 Density operators; 2.3 Reduced density matrices for fermion systems; 2.4 Spinless density matrices; 2.5 Hartree-Fock theory in density-matrix form; 2.6 The N-representability of reduced density matrices; 2.7 Statistical mechanics; 3. Density-functional theory. 
505 8 |a 4.4 The chemical potential for a pure state and in the canonical ensemble4.5 Discussion; 5. Chemical potential derivatives; 5.1 Change from one ground state to another; 5.2 Electronegativity and electronegativity equalization; 5.3 Hardness and softness; 5.4 Reactivity index: the Fukui function; 5.5 Local softness, local hardness, and softness and hardness kernels; 6. Thomas-Fermi and related models; 6.1 The traditional TF and TFD models; 6.2 Implementation; 6.3 Three theorems in Thomas-Fermi theory; 6.4 Assessment and modification; 6.5 An alternative derivation and a Gaussian model. 
505 8 |a 8.2 Spin-density functionals and the local spin-density approximations8.3 Self-interaction correction; 8.4 The Hartree-Fock-Kohn-Sham method; 8.5 The exchange-correlation-energy functional via the exchange-correlation hole; 8.6 The exchange-correlation-energy functional via wave-vector analysis; 8.7 Other studies of the exchange-correlation-energy functional; 9. Extensions; 9.1 Finite-temperature Kohn-Sham theory; 9.2 Excited states; 9.3 Time-dependent systems; 9.4 Dynamic linear response; 9.5 Density-matrix-functional theory; 9.6 Nonelectronic and multicomponent systems. 
500 |a 10. Aspects of atoms and molecules. 
520 8 |a This text is a rigorous, unified account of the fundamental principles of the density-functional theory of the electronic structure of matter and its applications to atoms and molecules. Containing a detailed discussion of the chemical potential and its derivatives, it provides an understanding of the concepts of electronegativity, hardness and softness, and chemical reactivity. Both the Hohenberg-Kohn-Sham and the Levy-Lieb derivations of the basic theorems are presented, and extensive references to the literature are included. Two introductory chapters and several appendices provide all the background material necessary beyond a knowledge of elementary quantum theory. The volume is intended for physicists, chemists, and advanced students in chemistry. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Electronic structure. 
650 0 |a Density functionals. 
650 0 |a Quantum theory. 
650 0 |a Quantum chemistry. 
650 4 |a Electronic structure. 
650 6 |a Structure électronique. 
650 6 |a Fonctionnelles densité. 
650 6 |a Théorie quantique. 
650 6 |a Chimie quantique. 
650 7 |a Density functionals  |2 fast 
650 7 |a Electronic structure  |2 fast 
650 7 |a Quantum chemistry  |2 fast 
650 7 |a Quantum theory  |2 fast 
700 1 |a Weitao, Yang. 
758 |i has work:  |a Density-functional theory of atoms and molecules (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFM74GP8cTfwXVtqjF6hBK  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Parr, Robert G.  |t Density-Functional Theory of Atoms and Molecules.  |d Oxford : Oxford University Press, ©2015 
830 0 |a International series of monographs on chemistry. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4702301  |z Texto completo 
880 8 |6 505-00/(S  |a 3.1 The original idea: The Thomas-Fermi model3.2 The Hohenberg-Kohn theorems; 3.3 The υ- and N-representability of an electron density; 3.4 The Levy constrained-search formulation; 3.5 Finite-temperature canonical-ensemble theory; 3.6 Finite-temperature grand-canonical-ensemble theory; 3.7 Finite-temperature ensemble theory of classical systems; 4. The chemical potential; 4.1 Chemical potential in the grand canonical ensemble at zero temperature; 4.2 Physical meaning of the chemical potential; 4.3 Detailed consideration of the grand canonical ensemble near zero temperature. 
880 8 |6 505-01/(S  |a 6.6 The purely local model6.7 Conventional gradient correction; 6.8 The Thomas-Fermi-Dirac-Weizsacker model; 6.9 Various related considerations; 7. The Kohn-Sham method: Basic principles; 7.1 Introduction of orbitals and the Kohn-Sham equations; 7.2 Derivation of the Kohn-Sham equations; 7.3 More on the kinetic-energy functional; 7.4 Local-density and Xα approximations; 7.5 The integral formulation; 7.6 Extension to nonintegral occupation numbers and the transition-state concept; 8. The Kohn-Sham method: Elaboration; 8.1 Spin-density-functional theory. 
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