Reference Determinant Dependence of the Random Phase Approximation in 3d Transition Metal Chemistry.
J E Bates1, P D Mezei2, G I Csonka2
1Department of Physics, Temple University , Philadelphia, Pennsylvania 19122, United States.
Journal of Chemical Theory and Computation
|December 21, 2016
Summary
The Random Phase Approximation (RPA) shows promise for predicting transition metal chemistry, reducing errors from semilocal functionals. Its accuracy depends on the exact exchange mixing in reference determinants, with high mixing potentially degrading performance.
Area of Science:
- Computational Chemistry
- Quantum Chemistry
- Materials Science
Background:
- Accurate prediction of transition metal chemistry is difficult with standard density functional approximations.
- The Random Phase Approximation (RPA) shows potential beyond main group thermochemistry.
- Limited understanding exists regarding RPA's performance for transition metal systems.
Purpose of the Study:
- To analyze the performance of RPA for transition metal reaction energies, barrier heights, and ligand dissociation energies.
- To compare RPA results with semilocal and hybrid density functionals.
- To investigate the reference determinant dependence of RPA, particularly concerning exact exchange (EXX) mixing.
Main Methods:
- Calculations of reaction energies, barrier heights, and ligand dissociation energies using RPA.
- Comparison with various semilocal and hybrid density functionals.
- Analysis of RPA performance with different reference determinants, varying exact exchange fractions.
Main Results:
- RPA systematically reduces errors compared to semilocal functionals for transition metal chemistry.
- RPA provides excellent performance from a single reference determinant, even for multireference reactions.
- High fractions of exact exchange (EXX) in reference determinants can degrade RPA performance.
Conclusions:
- RPA offers a robust method for improving predictions in transition metal chemistry.
- The choice of reference determinant and its exact exchange content is crucial for RPA accuracy.
- Dual hybrid functionals combining RPA correlation did not show systematic improvement over traditional RPA for these systems.
Related Concept Videos
Crystal Field Theory - Octahedral Complexes
31.4K
Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
31.4K
Crystal Field Theory - Tetrahedral and Square Planar Complexes
49.3K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
49.3K
Valence Bond Theory
11.5K
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
11.5K
The Phase Rule
39
The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...
39
Electrochemical Systems
43
Electrochemical systems provide a fascinating insight into the dynamic interplay of charged species within various phases. One notable example is the interaction between a membrane permeable to K⁺ ions but not to Cl⁻ ions, separating an aqueous KCl solution from pure water. As K⁺ ions diffuse through the membrane, they generate net charges on each phase, leading to a potential difference between them.Similarly, when a piece of Zn is immersed in an aqueous ZnSO₄ solution,...
43
Reaction Mechanisms: Rate-limiting Step Approximation
37
The rate-determining step, or RDS, in a chemical reaction is the slowest step that determines the overall reaction rate. It is identified by using the observed rate law and typically involves approximation methods like the RDS approximation or the steady-state approximation.In the RDS approximation, also known as the rate-limiting-step or equilibrium approximation, the reaction mechanism consists of one or more reversible reactions near equilibrium, followed by a slower RDS, and then one or...
37


