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Special points for Brillouin-zone integrations

1976/06/15 by Hendrik J. Monkhorst, James D. Pack, J.D. Pack · 1,023 citations
Engineering · Physics and Astronomy · #Photonic and Optical Devices #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies

paper · doi:10.1103/physrevb.13.5188

openalex publication_date 1976/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

A method is given for generating sets of special points in the Brillouin zone which provides an efficient means of integrating periodic functions of the wave vector. The integration can be over the entire Brillouin zone or over specified portions thereof. This method also has applications in spectral and density-of-state calculations. The relationships to the Chadi-Cohen and Gilat-Raubenheimer methods are indicated.

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