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Journal ArticleDOI

A Simple Measure of Electron Localization in Atomic and Molecular-Systems

Axel D. Becke, +1 more
- 01 May 1990 - 
- Vol. 92, Iss: 9, pp 5397-5403
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TLDR
In this paper, the Hartree-Fock parallel spin probability was used to identify localized electronic groups in atomic and molecular systems, which is completely independent of unitary orbital transformations.
Abstract
We introduce in this work a new approach to the identification of localized electronic groups in atomic and molecular systems. Our approach is based on local behavior of the Hartree–Fock parallel‐spin pair probability and is completely independent of unitary orbital transformations. We derive a simple ‘‘electron localization function’’ (ELF) which easily reveals atomic shell structure and core, binding, and lone electron pairs in simple molecular systems as well.

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Citations
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Journal ArticleDOI

QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials

TL;DR: QUANTUM ESPRESSO as discussed by the authors is an integrated suite of computer codes for electronic-structure calculations and materials modeling, based on density functional theory, plane waves, and pseudopotentials (norm-conserving, ultrasoft, and projector-augmented wave).
Journal ArticleDOI

Multiwfn: a multifunctional wavefunction analyzer.

TL;DR: Five practical examples involving a wide variety of systems and analysis methods are given to illustrate the usefulness of Multiwfn, a multifunctional program for wavefunction analysis.
Journal ArticleDOI

Revealing noncovalent interactions.

TL;DR: This work develops an approach to detect noncovalent interactions in real space, based on the electron density and its derivatives, which provides a rich representation of van der Waals interactions, hydrogen bonds, and steric repulsion in small molecules, molecular complexes, and solids.
Journal ArticleDOI

Conceptual density functional theory.

TL;DR: This chapter discusses the development of DFT as a tool for Calculating Atomic andMolecular Properties and its applications, as well as some of the fundamental and Computational aspects.
Journal ArticleDOI

Classification of chemical bonds based on topological analysis of electron localization functions

TL;DR: In this paper, a topological analysis of local quantum-mechanical functions related to the Pauli exclusion principle is presented, where the local maxima of these functions define "localization attractors", of which there are only three basic types: bonding, non-bonding and core.
References
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Journal ArticleDOI

Self‐consistent molecular orbital methods. XX. A basis set for correlated wave functions

TL;DR: In this article, a contract Gaussian basis set (6•311G) was developed by optimizing exponents and coefficients at the Mo/ller-Plesset (MP) second-order level for the ground states of first-row atoms.
Book

Density-functional theory of atoms and molecules

TL;DR: In this paper, a review of current studies in density functional theory and density matrix functional theory is presented, with special attention to the possible applications within chemistry, including the concept of an atom in a molecule, calculation of electronegativities from the Xα method, pressure, Gibbs-Duhem equation, Maxwell relations and stability conditions.
Book

Methods of molecular quantum mechanics

Roy McWeeny
TL;DR: In this article, a survey of many-electron wavefunctions spin and permutation symmetry is presented, including the Electron Distribution Self-Consistent Field Theory Valence Bond Theory Multiconfiguration SCF Theory Perturbation Theory and Diagram Techniques Large-Scale CI and the Unitary-Group Approach Small Terms in the Hamiltonian Static Properties Dynamic Properties Dynamic properties and Response Theory Propagator and Equation-of-Motion Methods Intermolecular Forces Appendixes: Atomic Orbitals Angular Momentum Symmetry and Group Concepts Relativistic
Journal ArticleDOI

The characterization of atomic interactions

TL;DR: In this paper, the authors derived the sign of the Laplacian of the charge density ρ to the relative magnitudes of the local contributions of the potential and kinetic energy densities to their virial theorem averages.
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