New Gradient Correction Scheme for Electronically Nonadiabatic Dynamics Involving Multiple Spin States

Yinan Shu, Linyao Zhang, Dihua Wu, Xiye Chen, Shaozeng Sun, Donald G Truhlar

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


It has been recommended that the best representation to use for trajectory surface hopping (TSH) calculations is the fully adiabatic basis in which the Hamiltonian is diagonal. Simulations of intersystem crossing processes with conventional TSH methods require an explicit computation of nonadiabatic coupling vectors (NACs) in the molecular-Coulomb-Hamiltonian (MCH) basis, also called the spin-orbit-free basis, in order to compute the gradient in the fully adiabatic basis (also called the diagonal representation). This explicit requirement destroys some of the advantages of the overlap-based algorithms and curvature-driven algorithms that can be used for the most efficient TSH calculations. Therefore, although these algorithms allow one to perform NAC-free simulations for internal conversion processes, one still requires NACs for intersystem crossing. Here, we show that how the NAC requirement is circumvented by a new computation scheme called the time-derivative-matrix scheme.

Original languageEnglish (US)
Pages (from-to)2419-2429
Number of pages11
JournalJournal of Chemical Theory and Computation
Issue number9
StatePublished - May 9 2023

Bibliographical note

Funding Information:
This work was supported in part by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under award DE-SC0015997 and by the National Natural Science Foundation of China under grant no. 52206138.

Publisher Copyright:
© 2023 American Chemical Society.

PubMed: MeSH publication types

  • Journal Article


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