Molecular dynamics with quantum forces: Vibrational spectra of localized systems

James R. Chelikowsky, Xiaodun Jing, K. Wu, Y. Saad

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


We present molecular-dynamics simulations with quantum forces for localized systems using a real-space method. We illustrate calculations for the vibrational modes of small molecules and clusters. Unlike other real-space methods using adaptive grids, this procedure does not require any Pulay corrections for the forces, nor does it suffer from the complication of redefining a grid after each time step of the molecular-dynamics simulation. Our method is based on combining higher order finite difference methods with ab initio pseudopotentials. We also introduce an iterative diagonalization scheme based on preconditioned Krylov techniques. Compared to plane-wave-supercell methods, this method is more efficient and simpler to implement. Examples are presented for the (Formula presented) molecule and a silicon cluster, (Formula presented).

Original languageEnglish (US)
Pages (from-to)12071-12079
Number of pages9
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number18
StatePublished - 1996


Dive into the research topics of 'Molecular dynamics with quantum forces: Vibrational spectra of localized systems'. Together they form a unique fingerprint.

Cite this