scholarly journals Interactions of C + ( 2 P J ) with rare gas atoms: incipient chemical interactions, potentials and transport coefficients

2018 ◽  
Vol 376 (2115) ◽  
pp. 20170156 ◽  
Author(s):  
William D. Tuttle ◽  
Rebecca L. Thorington ◽  
Larry A. Viehland ◽  
W. H. Breckenridge ◽  
Timothy G.  Wright
Keyword(s):  
Chemical Interaction ◽  
Transport Coefficients ◽  
Basis Set ◽  
Basis Sets ◽  
Rare Gas ◽  
Interatomic Potentials ◽  
Spin Orbit ◽  
Spectroscopic Parameters ◽  
Rare Gas Atoms ◽  
Contour Plots

Accurate interatomic potentials were calculated for the interaction of a singly charged carbon cation, C + , with a single rare gas atom, RG (RG = Ne–Xe). The RCCSD(T) method and basis sets of quadruple-ζ and quintuple-ζ quality were employed; each interaction energy was counterpoise corrected and extrapolated to the basis set limit. The lowest C + ( 2 P ) electronic term of the carbon cation was considered, and the interatomic potentials calculated for the diatomic terms that arise from these: 2 Π and 2 Σ + . Additionally, the interatomic potentials for the respective spin-orbit levels were calculated, and the effect on the spectroscopic parameters was examined. In doing this, anomalously large spin-orbit splittings for RG = Ar–Xe were found, and this was investigated using multi-reference configuration interaction calculations. The latter indicated a small amount of RG → C + electron transfer and this was used to rationalize the observations. This is taken as evidence of an incipient chemical interaction, which was also examined via contour plots, Birge–Sponer plots and various population analyses across the C + -RG series (RG = He–Xe), with the latter showing unexpected results. Trends in several spectroscopic parameters were examined as a function of the increasing atomic number of the RG atom. Finally, each set of RCCSD(T) potentials was employed, including spin-orbit coupling to calculate the transport coefficients for C + in RG, and the results were compared with the limited available data. This article is part of the theme issue ‘Modern theoretical chemistry’.

scholarly journals Hyperfine Coupling Constants in Local Exact Two-Component Theory

2021 ◽  
Author(s):  
Yannick J. Franzke ◽  
Jason M. Yu
Keyword(s):  
Single Molecule ◽  
Density Functional ◽  
Hyperfine Coupling ◽  
Scalar Potential ◽  
Coupling Constants ◽  
Basis Set ◽  
Basis Sets ◽  
Spin Orbit ◽  
Finite Nucleus ◽  
Two Component

We present a highly efficient implementation of the electron-nucleus hyperfine coupling matrix within one-electron exact two-component (X2C) theory. The complete derivative of the X2C Hamiltonian is formed, i.e. the derivatives of the unitary decoupling transformation are considered. This requires solution of the response and Sylvester equations, consequently increasing the computational costs. Therefore, we apply the diagonal local approximation to the unitary decoupling transformation (DLU). The finite nucleus model is employed for both the scalar potential and the vector potential. Two-electron picture-change effects are modeled with the (modified) screened-nuclear spin--orbit approach. Our implementation is fully integral direct and OpenMP-parallelized. An extensive benchmark study regarding the Hamiltonian, the basis set, and the density functional approximation is carried out for a set of 12--17 transition-metal compounds. The error introduced by DLU is negligible and the DLU-X2C Hamiltonian accurately reproduces its four-component ``fully'' relativistic parent results. Functionals with a large amount of Hartree--Fock exchange such as CAM-QTP-02 and omega-B97X-D are generally favorable. The pure density functional r2SCAN performs remarkably and even outperforms the common hybrid functionals TPSSh and CAM-B3LYP. Fully uncontracted basis sets or contracted quadruple-zeta bases are required for accurate results. The capability of our implementation is demonstrated for [Pt(C6Cl5)4]- with more than 4700 primitive basis functions and four rare-earth single molecule magnets: [La(OAr*)3]-, [Lu(NR2)3]-, [Lu(OAr*)3]-, and [TbPc2]-. Here, the spin--orbit DLU-X2C Hamiltonian results in an excellent agreement with the experimental findings of all Pt, La, Lu, and Tb molecules.

scholarly journals Spin-orbit coupling in complexes of toluene with rare gas atoms

2007 ◽  
Vol 127 (2) ◽  
pp. 024301 ◽  
Author(s):  
Thomas A. A. Oliver ◽  
Peter R. Taylor ◽  
Richard J. Doyle ◽  
Stuart R. Mackenzie
Keyword(s):  
Orbit Coupling ◽  
Rare Gas ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Rare Gas Atoms

On the Performance of Bond Functions and Basis Set Extrapolation Techniques in High-Accuracy Calculations of Interatomic Potentials. A Helium Dimer Study

2003 ◽  
Vol 68 (3) ◽  
pp. 463-488 ◽  
Author(s):  
Małgorzata Jeziorska ◽  
Robert Bukowski ◽  
Wojciech Cencek ◽  
Michał Jaszuński ◽  
Bogumił Jeziorski ◽  
...  
Keyword(s):  
Quantum Monte Carlo ◽  
Functional Dependence ◽  
Chem Phys ◽  
Basis Set ◽  
Basis Sets ◽  
Structure Theory ◽  
Interatomic Potentials ◽  
Small Contribution ◽  
Large Sets ◽  
Bond Functions

Helium dimer interaction energies, Eint, obtained recently using the Gaussian geminal implementation of the coupled cluster doubles (CCD) and singles and doubles (CCSD) theory, were employed to evaluate the performance of conventional orbital calculations applying the correlation-consistent polarized valence X-tuple zeta (cc-pVXZ) bases, with X ranging from 4 to 7, and very large sets of bond functions. We found that while the bond functions improve dramatically the convergence of the doubles and triples contribution to the interaction energy, these functions are inefficient or even counterproductive in predicting the effect of the single excitations and the small contribution beyond the CCSD(T) (CCSD model with noniterative account of triple excitations) level of electronic structure theory. We also found that bond functions are very effective in extrapolation techniques. Using simple two-point extrapolations based on the single-power laws X-2 and X-3 for the basis set truncation error, the Gaussian geminal CCSD result for Eint, equal to -9.150 ± 0.001 K at the equilibrium interatomic distance of R = 5.6 bohr, could be reproduced with an error of 2-3 mK. Linear extrapolation of the functional dependence of the CCSD energy on the value of the second-order Møller-Plesset energy and the use of the known accurate value of the latter leads to an even smaller error. Using these extrapolation techniques with basis sets up to doubly augmented septuple-zeta quality and containing large sets of bond functions, we estimated the contribution of triple excitations within the CCSD(T) model to be -1.535 ± 0.002 K, with the error bars reflecting the spread of extrapolated results. The contribution beyond the CCSD(T) model, estimated from full configuration interaction (FCI) calculations with up to 255 orbitals, amounts to -0.323 ± 0.005 K. Combining the Gaussian geminal value of the CCSD energy with the orbital estimations of the CCSD(T) and FCI contributions, we found that Eint = -11.008 ± 0.008 K. This value is consistent with recent high-level orbital computations (van Mourik T., Dunning T. H.: J. Chem. Phys. 1999, 111, 9246; Klopper W.: J. Chem. Phys. 2001, 115, 761) but has substantially tighter error bounds. It differs somewhat, however, from the value of -10.98 ± 0.02 K obtained recently from the "exact" quantum Monte Carlo calculations (Anderson J. B.: J. Chem. Phys. 2001, 115, 4546).

AB INITIO AND DFT STUDY OF NON-COVALENT INTERACTIONS BETWEEN RARE GAS ATOMS AND AROMATIC RINGS

2013 ◽  
Vol 12 (03) ◽  
pp. 1350012 ◽  
Author(s):  
CHENG CHENG ◽  
MIN ZHANG ◽  
LI SHENG
Keyword(s):  
Ab Initio ◽  
Weak Interaction ◽  
Density Functional ◽  
Nbo Analysis ◽  
Basis Sets ◽  
Rare Gas ◽  
Aromatic Rings ◽  
Functional Theory ◽  
Rare Gas Atoms ◽  
Non Covalent Interactions

In this paper, the weak interaction between aromatic rings (ARs) and rare gas (Rg) atoms has been studied using ab initio calculation and density functional theory (DFT). The augmented Dunning basis sets were used, and the convergence test was performed up to aug-cc-pV5Z. Among the computationally feasible methods, ωB97XD performed the best for these non-covalent systems. NBO analysis was performed to investigate the nature of the Rg/AR interactions. In this type of weak interaction, the induced and instantaneous dipole and charge transfer character both contribute to the interaction energies and equilibrium distances.

Hyperfine Coupling Constants in Local Exact Two-Component Theory

2021 ◽  
Author(s):  
Yannick J. Franzke ◽  
Jason M. Yu
Keyword(s):  
Single Molecule ◽  
Density Functional ◽  
Hyperfine Coupling ◽  
Scalar Potential ◽  
Coupling Constants ◽  
Basis Set ◽  
Basis Sets ◽  
Spin Orbit ◽  
Finite Nucleus ◽  
Two Component

We present a highly efficient implementation of the electron-nucleus hyperfine coupling matrix within one-electron exact two-component (X2C) theory. The complete derivative of the X2C Hamiltonian is formed, i.e. the derivatives of the unitary decoupling transformation are considered. This requires solution of the response and Sylvester equations, consequently increasing the computational costs. Therefore, we apply the diagonal local approximation to the unitary decoupling transformation (DLU). The finite nucleus model is employed for both the scalar potential and the vector potential. Two-electron picture-change effects are modeled with the (modified) screened-nuclear spin--orbit approach. Our implementation is fully integral direct and OpenMP-parallelized. An extensive benchmark study regarding the Hamiltonian, the basis set, and the density functional approximation is carried out for a set of 12--17 transition-metal compounds. The error introduced by DLU is negligible and the DLU-X2C Hamiltonian accurately reproduces its four-component ``fully'' relativistic parent results. Functionals with a large amount of Hartree--Fock exchange such as CAM-QTP-02 and omega-B97X-D are generally favorable. The pure density functional r2SCAN performs remarkably and even outperforms the common hybrid functionals TPSSh and CAM-B3LYP. Fully uncontracted basis sets or contracted quadruple-zeta bases are required for accurate results. The capability of our implementation is demonstrated for [Pt(C6Cl5)4]- with more than 4700 primitive basis functions and four rare-earth single molecule magnets: [La(OAr*)3]-, [Lu(NR2)3]-, [Lu(OAr*)3]-, and [TbPc2]-. Here, the spin--orbit DLU-X2C Hamiltonian results in an excellent agreement with the experimental findings of all Pt, La, Lu, and Tb molecules.

Basis set effects in simple compounds of heavy rare gases

2013 ◽  
Vol 91 (9) ◽  
pp. 894-901 ◽  
Author(s):  
Amelia Fitzsimmons ◽  
Mariusz Klobukowski
Keyword(s):  
Density Functional ◽  
Relativistic Effects ◽  
Basis Set ◽  
Basis Sets ◽  
Rare Gas ◽  
Rare Gases ◽  
Functional Theory ◽  
Model Core Potentials ◽  
Moller Plesset ◽  
Decomposition Pathway

Rare-gas hydrides of the type HRgX (Rg = Xe or Rn and X = F, Cl, Br, or I) have been studied using Møller–Plesset and density functional theory methods. Six model core potentials and their associated basis sets were used, with relativistic effects included implicitly. The effects of polarization, correlating, and diffuse basis functions were investigated. Molecular geometries of the metastable hydrides and transition states along the decomposition pathway were computed together with corresponding energies of formation and decomposition. The results of quantum theory of atoms in molecules analysis further elucidate the interactions between atoms in HRgX species and confirm the results of analyses obtained from the natural bond orbitals approach.

Long-Term Correlations In Diffusive Motion Of Water Molecules And Rare Gas Atoms In Helium And Argon Aqueous Solutions

2015 ◽  
Vol 60 (8) ◽  
pp. 757-763 ◽  
Author(s):  
V.P. Voloshin ◽  
◽  
G.G. Malenkov ◽  
Yu.I. Naberukhin ◽  
◽  
...  
Keyword(s):  
Aqueous Solutions ◽  
Rare Gas ◽  
Water Molecules ◽  
Diffusive Motion ◽  
Rare Gas Atoms
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