The Douglas–Kroll–Hess Approach

T Nakajima, K Hirao - Chemical reviews, 2012 - ACS Publications
It is common knowledge that relativistic effects are important in the chemistry of heavy
elements. As a result, polyatomic systems that contain heavy elements are involved in a …

[KNIHA][B] Relativistic quantum chemistry: the fundamental theory of molecular science

M Reiher, A Wolf - 2014 - books.google.com
Einstein proposed his theory of special relativity in 1905. For a long time it was believed that
this theory has no significant impact on chemistry. This view changed in the 1970s when it …

Exact decoupling of the Dirac Hamiltonian. II. The generalized Douglas–Kroll–Hess transformation up to arbitrary order

M Reiher, A Wolf - The Journal of chemical physics, 2004 - pubs.aip.org
For a consistent quasi-relativistic electrons-only theory based on the first-quantized Dirac
Hamiltonian, it is desirable to eliminate the unphysical negative-energy states at energies …

Douglas–Kroll–Hess Theory: a relativistic electrons-only theory for chemistry

M Reiher - Theoretical Chemistry Accounts, 2006 - Springer
A unitary transformation allows to separate (block-diagonalize) the Dirac Hamiltonian into
two parts one part: solely describes electrons, while the other gives rise to negative-energy …

Dirac‐exact relativistic methods: the normalized elimination of the small component method

D Cremer, W Zou, M Filatov - Wiley Interdisciplinary Reviews …, 2014 - Wiley Online Library
Dirac‐exact relativistic methods, ie, 2‐or 1‐component methods which exactly reproduce the
one‐electron energies of the original 4‐component Dirac method, have established a …

Efficient implementation of one-and two-component analytical energy gradients in exact two-component theory

YJ Franzke, N Middendorf, F Weigend - The Journal of Chemical …, 2018 - pubs.aip.org
We present an efficient algorithm for one-and two-component analytical energy gradients
with respect to nuclear displacements in the exact two-component decoupling approach to …

NMR Indirect Spin–Spin Coupling Constants in a Modern Quasi-Relativistic Density Functional Framework

YJ Franzke, F Mack, F Weigend - Journal of Chemical Theory and …, 2021 - ACS Publications
A quasi-relativistic implementation of NMR indirect spin–spin coupling constants is
presented. The exact two-component (X2C) Hamiltonian and its diagonal local …

Accurate and efficient treatment of two-electron contributions in quasirelativistic high-order Douglas-Kroll density-functional calculations

C Van Wüllen, C Michauk - The Journal of chemical physics, 2005 - pubs.aip.org
Two-component quasirelativistic approaches are in principle capable of reproducing results
from fully relativistic calculations based on the four-component Dirac equation (with fixed …

Spin-orbit coupling calculations with the two-component normalized elimination of the small component method

M Filatov, W Zou, D Cremer - The Journal of Chemical Physics, 2013 - pubs.aip.org
A new algorithm for the two-component Normalized Elimination of the Small Component
(2cNESC) method is presented and tested in the calculation of spin-orbit (SO) splittings for a …

[HTML][HTML] Analytical energy gradient for the two-component normalized elimination of the small component method

W Zou, M Filatov, D Cremer - The Journal of Chemical Physics, 2015 - pubs.aip.org
The analytical gradient for the two-component Normalized Elimination of the Small
Component (2c-NESC) method is presented. The 2c-NESC is a Dirac-exact method that …