Density-functional method for very large systems with LCAO basis sets

1997/01/01 by Daniel S�nchez-Portal, Daniel Sánchez‐Portal, Pablo Ordej�n +3 · 1,557 citations
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Algorithm #Atomic orbital #Basis (linear algebra) #Basis function #Basis set #Chemistry #Computational chemistry #Density functional theory #Density matrix #Electron #Geometry #Hybrid functional #Linear combination of atomic orbitals #Linear scale #Mathematics #Molecular Junctions and Nanostructures #Orbital-free density functional theory #Orthogonalization #Physics #Quantum mechanics #Scaling #Spectroscopy and Quantum Chemical Studies #Statistical physics #Time-dependent density functional theory #Wave function

paper · doi:10.1002/(sici)1097-461x(1997)65:5<453::aid-qua9>3.0.co;2-v

published in International Journal of Quantum Chemistry 65(5), 453-461 (Wiley)

openalex publication_date 1997/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

We have implemented a linear scaling, fully self-consistent density-functional method for performing first-principles calculations on systems with a large number of atoms, using standard norm-conserving pseudopotentials and flexible linear combinations of atomic orbitals (LCAO) basis sets. Exchange and correlation are treated within the local-spin-density or gradient-corrected approximations. The basis functions and the electron density are projected on a real-space grid in order to calculate the Hartree and exchange–correlation potentials and matrix elements. We substitute the customary diagonalization procedure by the minimization of a modified energy functional, which gives orthogonal wave functions and the same energy and density as the Kohn–Sham energy functional, without the need of an explicit orthogonalization. The additional restriction to a finite range for the electron wave functions allows the computational effort (time and memory) to increase only linearly with the size of the system. Forces and stresses are also calculated efficiently and accurately, allowing structural relaxation and molecular dynamics simulations. We present test calculations beginning with small molecules and ending with a piece of DNA. Using double-z, polarized bases, geometries within 1% of experiments are obtained. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 65: 453–461, 1997

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