scholarly journals Analytic energy derivatives in relativistic quantum chemistry

2014 ◽  
Vol 114 (17) ◽  
pp. 1108-1127 ◽  
Author(s):  
Lan Cheng ◽  
Stella Stopkowicz ◽  
Jürgen Gauss
Keyword(s):  
Quantum Chemistry ◽  
Relativistic Quantum ◽  
Energy Derivatives ◽  
Analytic Energy Derivatives ◽  
Relativistic Quantum Chemistry

Operators, Matrix Elements, and Wave Functions under Time-Reversal Symmetry

2007 ◽  
Author(s):  
Kenneth G. Dyall ◽  
Knut Faegri
Keyword(s):  
Quantum Chemistry ◽  
Time Reversal ◽  
Relativistic Quantum ◽  
Spin Symmetry ◽  
Computational Effort ◽  
Wave Functions ◽  
Time Reversal Symmetry ◽  
Molecular Systems ◽  
Self Consistent Field ◽  
Relativistic Quantum Chemistry

We now take on the task of developing the theory and methods for a relativistic quantum chemistry. The aim is to arrive at a qualitative as well as a quantitative understanding of the relativistic effects in molecules. We must be able to predict the effects of relativity on the wave functions and electron densities of molecules, and on the molecular properties arising from these. And we must develop methods and algorithms that enable us to calculate the properties and interactions of molecules with an accuracy comparable to that achieved for lighter systems in a nonrelativistic framework. Parts of this development follow fairly straightforwardly from our considerations of the atomic case in part II, but molecular systems represent challenges of their own. This is particularly true for the computational techniques. From the nonrelativistic experience we know that present-day quantum chemistry owes much of its success to the enormous effort that has gone into developing efficient methods and algorithms. This effort has yielded powerful tools, such as the use of basis-set expansions of wave functions, the exploitation of molecular symmetry, the description of correlation effects by calculations beyond the mean-field approximation, and so on. In developing a relativistic quantum chemistry, we must be able to reformulate these techniques in the new framework, or replace them by more suitable and efficient methods. In nonrelativistic theory, spin symmetry provides one of the biggest reductions in computational effort, such as in the powerful and elegant Graphical Unitary Group Approach (GUGA) for configuration interaction (CI) calculations (Shavitt 1988). For relativistic applications, time-reversal symmetry takes the place of spin symmetry, and this chapter is devoted to developing a formalism for efficient incorporation of this symmetry in our theory and methods. Time-reversal symmetry includes the spin symmetry of nonrelativistic systems, but there are significant differences from spin symmetry for systems with a Hamiltonian that is spin-dependent. The development of techniques that incorporate time-reversal symmetry presented here are primarily aimed at four-component calculations, but they are equally applicable to two-component calculations in which the spin-dependent operators are included at the self-consistent field (SCF) stage of a calculation.

Real-space quasi-relativistic quantum chemistry

2020 ◽  
Vol 1175 ◽  
pp. 112711 ◽  
Author(s):  
Joel Anderson ◽  
Robert J. Harrison ◽  
Bryan Sundahl ◽  
W. Scott Thornton ◽  
Gregory Beylkin
Keyword(s):  
Quantum Chemistry ◽  
Relativistic Quantum ◽  
Real Space ◽  
Relativistic Quantum Chemistry

Insight into the Extraction Mechanism of Americium(III) over Europium(III) with Pyridylpyrazole: A Relativistic Quantum Chemistry Study

2018 ◽  
Vol 122 (18) ◽  
pp. 4499-4507 ◽  
Author(s):  
Xiang-He Kong ◽  
Qun-Yan Wu ◽  
Cong-Zhi Wang ◽  
Jian-Hui Lan ◽  
Zhi-Fang Chai ◽  
...  
Keyword(s):  
Quantum Chemistry ◽  
Relativistic Quantum ◽  
Extraction Mechanism ◽  
Relativistic Quantum Chemistry ◽  
Insight Into
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