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The electron density of a non-degenerate ground state system determines essentially all physical properties of the system. This statement of the Hohenberg–Kohn theorem of Density Functional Theory plays an exceptionally important role among all the fundamental relations of Molecular Physics. In particular, the electron density distribution and the dynamic properties of this density determine both the local and global reactivities of molecules. High resolution experimental electron densities are increasingly becoming available for more and more molecules, including macromolecules such as proteins. Furthermore, many of the early difficulties with the determination of electron densities in the vicinity of light nuclei have been overcome. These electron densities provide detailed information that gives important insight into the fundamentals of molecular structure and a better understanding of chemical reactions. The results of electron density analysis are used in a variety of applied fields, such as pharmaceutical drug discovery and biotechnology. If the functional form of a molecular electron density is known, then various molecular properties affecting reactivity can be determined by quantum chemical computational techniques or alternative approximate methods.
Density functionals. --- Reactivity (Chemistry) --- Chemistry, Physical organic. --- Chemistry. --- Crystallography. --- Physical Chemistry. --- Theoretical and Computational Chemistry. --- Crystallography and Scattering Methods. --- Atomic, Molecular, Optical and Plasma Physics. --- Physical chemistry. --- Chemistry, Physical and theoretical. --- Atoms. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Leptology --- Mineralogy --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Constitution
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Computational chemistry methods have become increasingly important in recent years, as manifested by their rapidly extending applications in a large number of diverse fields. The ever-increasing size of the systems one wants to study leads to the development and application of methods, which provide satisfactory answers at a manageable computational cost. An important variety of computational techniques for large systems are represented by the linear-scaling techniques, that is, by methods where the computational cost scales linearly with the size of the system. This monograph is a collection of chapters, which report the state-of-the-art developments and applications of many important classes of linear-scaling methods. Linear-Scaling Techniques in Computational Chemistry and Physics: Methods and Applications serves as a handbook for theoreticians who are involved in the development of new and efficient computational methods as well as for scientists who use the tools of computational chemistry and physics in their research.
Chemistry -- Data processing. --- Chemistry -- Mathematics. --- Mathematical physics. --- Physics -- Data processing. --- Chemistry --- Physical Sciences & Mathematics --- Chemistry - General --- Physical & Theoretical Chemistry --- Scaling laws (Statistical physics) --- Ratio and proportion (Statistical physics) --- Scale invariance (Statistical physics) --- Scaling hypothesis (Statistical physics) --- Scaling phenomena (Statistical physics) --- Chemistry. --- Chemistry, Physical and theoretical. --- Physics. --- Theoretical and Computational Chemistry. --- Theoretical, Mathematical and Computational Physics. --- Physical laws --- Ranking and selection (Statistics) --- Statistical physics --- Physical sciences --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Physical mathematics --- Physics --- Mathematics
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Mathematical physics --- Chemistry --- Computer. Automation --- theoretische fysica --- chemie --- informatica
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Computational chemistry methods have become increasingly important in recent years, as manifested by their rapidly extending applications in a large number of diverse fields. The ever-increasing size of the systems one wants to study leads to the development and application of methods, which provide satisfactory answers at a manageable computational cost. An important variety of computational techniques for large systems are represented by the linear-scaling techniques, that is, by methods where the computational cost scales linearly with the size of the system. This monograph is a collection of chapters, which report the state-of-the-art developments and applications of many important classes of linear-scaling methods. Linear-Scaling Techniques in Computational Chemistry and Physics: Methods and Applications serves as a handbook for theoreticians who are involved in the development of new and efficient computational methods as well as for scientists who use the tools of computational chemistry and physics in their research
Mathematical physics --- Chemistry --- Computer. Automation --- theoretische fysica --- chemie --- informatica
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