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The Douglas–Kroll–Hess Approach
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 …
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 …
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 …
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 …
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
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 …
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 …
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 …
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 …
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
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 …
(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
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 …
Component (2c-NESC) method is presented. The 2c-NESC is a Dirac-exact method that …