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The van der Waals coefficients, from C_11 through to C_16 resulting from 2nd, 3rd and 4th order perturbation theory are estimated for the alkali (Li, Na, K and Rb) atoms. The dispersion coefficients are also computed for all possible…

Atomic Physics · Physics 2007-05-23 J. Mitroy , M. W. J. Bromley

Van der Waals coefficients for the heteronuclear alkali-metal dimers of Li, Na, K, Rb, Cs, and Fr are calculated using relativistic ab initio methods augmented by high-precision experimental data. We argue that the uncertainties in the…

Atomic Physics · Physics 2007-05-23 A. Derevianko , J. F. Babb , A. Dalgarno

The dispersion coefficients $C_6$, $C_8$, and $C_{10}$ for the interactions between H, He, and Li are calculated using variational wave functions in Hylleraas basis sets with multiple exponential scale factors. With these highly correlated…

atom-ph · Physics 2008-02-03 Zong-Chao Yan , James F. Babb , A. Dalgarno , G. W. F. Drake

The van der Waals dispersion coefficients of a set of polycyclic aromatic hydrocarbons, ranging in size from the single-cycle benzene to circumovalene (C66H20), are calculated with a real-time propagation approach to time-dependent density…

Materials Science · Physics 2009-11-13 Miguel A. L. Marques , Alberto Castro , Giuliano Malloci , Giacomo Mulas , Silvana Botti

We extend a method (E. Canc\`es and L.R. Scott, SIAM J. Math. Anal., 50, 2018, 381--410) to compute more terms in the asymptotic expansion of the van der Waals attraction between two hydrogen atoms. These terms are obtained by solving a set…

Mathematical Physics · Physics 2020-07-09 Éric Cancès , Rafaël Coyaud , L. Ridgway Scott

Contributions from high-order (non-perturbative triple and quadruple) cluster amplitudes to the dissociation energies, equilibrium distances, and vibrational constants for the ground states of van der Waals dimers Hg$_2$ and Cn$_2$ are…

Chemical Physics · Physics 2010-01-14 A. N. Petrov , N. S. Mosyagin , A. V. Titov , A. V. Zaitsevskii , E. A. Rykova

In this paper we employ all-electron \textit{ab-initio} time-dependent density functional theory based method to calculate the long range dipole-dipole dispersion coefficient (van der Waals coefficient) $C_{6}$ of sodium atom clusters…

Atomic and Molecular Clusters · Physics 2009-11-13 Arup Banerjee , Aparna Chakrabarti , Tapan K. Ghanty

We derive the relativistic formulas for the van der Waals coefficients of Yb-alkali dimers that correlate to ground and excited separated-atom limits. We calculate $C_6$ and $C_8$ coefficients of particular experimental interest. We also…

Atomic Physics · Physics 2015-06-18 S. G. Porsev , M. S. Safronova , A. Derevianko , Charles W. Clark

Relativistic many-body calculations of van der Waals coefficients C_6 for dimers correlating to two ground state alkaline-earth atoms at large internuclear separations are reported. The following values and uncertainties were determined :…

Atomic Physics · Physics 2009-11-07 Sergey Porsev , Andrei Derevianko

We consider long-range interactions between two alkali-metal atoms in their respective ground states. We extend the previous relativistic many-body calculations of C_6 dispersion coefficients [Phys.Rev. Lett. {\bf 82}, 3589 (1999)] to…

Atomic Physics · Physics 2009-11-10 Sergey Porsev , Andrei Derevianko

We propose a second version of the van der Waals density functional (vdW-DF2) of Dion et al. [Phys. Rev. Lett. 92, 246401 (2004)], employing a more accurate semilocal exchange functional and the use of a large-N asymptote gradient…

Materials Science · Physics 2010-08-17 Kyuho Lee , Éamonn D. Murray , Lingzhu Kong , Bengt I. Lundqvist , David C. Langreth

We verify that the van der Waals interaction and hence all dispersion interactions for the hydrogen molecule given by: W"= -{A/R^6}-{B/R^8}-{C/R^10}- ..., in which R is the internuclear separation, are exactly soluble. The constants…

Quantum Physics · Physics 2011-08-05 T. C. Choy

Exact results are given for the fourth virial coefficient of hard spheres in even dimensions up through 12. The fifth and sixth virial coefficients are numerically computed for dimensions 2 through 50 and it is found that the sixth virial…

Statistical Mechanics · Physics 2007-05-23 N. Clisby , B. M. McCoy

To describe highly heterogeneous systems using the Cahn-Hilliard equation, the standard form of the thermodynamic potential with a constant coefficient in the gradient term and a polynomial of the fourth degree may not be sufficient. The…

Materials Science · Physics 2025-01-20 P. O. Mchedlov-Petrosyan , L. N. Davydov , O. A. Osmaev

In this paper we employ the hydrodynamic formulation of time-dependent density functional theory to obtain the van der Waal coefficients $C_{6}$ and $C_{8}$ of alkali-metal clusters of various sizes including very large clusters. Such…

Atomic and Molecular Clusters · Physics 2007-05-23 Arup Banerjee , Manoj K. Harbola

In this paper we employ two distinct approaches - all-electron \textit{ab initio} method and the spherical jellium background model- within time dependent density functional theory to calculate the long range dipole-dipole dispersion…

Atomic and Molecular Clusters · Physics 2008-01-10 Arup Banerjee , Manoj K. Harbola

Experimental, theoretical, and additive-model photoabsorption cross-sections combined with constraints provided by the Kuhn-Reiche-Thomas sum rule and the high-energy behavior of the dipole-oscillator-strength density are used to construct…

Chemical Physics · Physics 2020-10-06 Ajit J. Thakkar

The damping coefficients for the alkali atoms are determined very accurately by taking into account the optical properties of the atoms and three distinct types of trapping materials such as Au (metal), Si (semi-conductor) and vitreous SiO2…

Atomic Physics · Physics 2015-06-17 Bindiya Arora , B. K. Sahoo

The prototypical Hydrogen bond in water dimer and Hydrogen bonds in the protonated water dimer, in other small molecules, in water cyclic clusters, and in ice, covering a wide range of bond strengths, are theoretically investigated by…

Chemical Physics · Physics 2017-08-02 Pier Luigi Silvestrelli

The non-local van der Waals density functional (vdW-DF) of Dion et al. [Phys. Rev. Lett. 92, 246401 (2004)] is a very promising scheme for the efficient treatment of dispersion bonded systems. We show here that the accuracy of vdW-DF can be…

Chemical Physics · Physics 2009-10-05 J. Klimes , D. R. Bowler , A. Michaelides
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