Concepts and Methods in Modern Theoretical Chemistry: by Swapan Kumar Ghosh, Pratim Kumar Chattaraj

By Swapan Kumar Ghosh, Pratim Kumar Chattaraj

Techniques and strategies in smooth Theoretical Chemistry: digital constitution and Reactivity, the 1st ebook in a two-volume set, makes a speciality of the constitution and reactivity of structures and phenomena. a brand new addition to the sequence Atoms, Molecules, and Clusters, this publication deals chapters written by way of specialists of their fields. It allows readers to benefit how suggestions from ab initio quantum chemistry and density sensible theory Read more...

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Extra resources for Concepts and Methods in Modern Theoretical Chemistry: Electronic Structure and Reactivity

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It is normalized to the number of electron pairs N ( N − 1) = ∫∫ ρ (r , r ) d r d r . 7) 2 1 2 1 2 4 Modern Theoretical Chemistry: Electronic Structure and Reactivity As before, ground-state energy and pair density can be determined using a variational principle: E0 = ( min ) ∫∫ (  0 ≤ρ r1 ,r2   ρ2 N ( N −1)= ρ2 r1 ,r2 d r1 ,d r2  ρ2 r1 ,r2 is N -representable   ( ) )        Ev [ρ2 ]. 8) Using pair density, instead of electron density, as the fundamental descriptor of the system has two disadvantages.

50) giving18   Ts [ρ , ρ ] =  σ = α ,β   α β ∑∫ ρσ (r) 8ρσ (r) 2 dr − ∫∫ σ σ ρ (r)ρ (r′)  . 51) d d r r ′  8hxσσ [ρσ ; r, r′]  hxσσ [ρσ ; r, r′] 2 Therefore, if one can model the exchange hole in terms of the electron density, one can build a density functional. This link between the exchange hole and the kinetic energy motivates the use of exchange energy expressions to derive kinetic energy functionals. 52) 2 s is valid. Therefore, if one can model the momentum density Πs(p) using the electron density, one has derived a kinetic energy functional.

I strongly feel that every chemistry department in colleges and universities should appoint at least one theoretical and computational chemist. In universities, the critical number would be three. Because of the multidisciplinary nature of the subject, a theoretical chemist can teach quite a few areas and would therefore lend strength to the teaching programs. Secondly, industries in a number of countries do not seem to have felt the need to appoint theoretical and computational chemists. All these have drastically reduced the employability of young theoretical and computational chemists, who show enormous personal courage to go into these areas.

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