Equilibrium-bond-length predictions of very heavy heteronuclear molecules

1986 ◽  
Vol 33 (5) ◽  
pp. 3511-3514 ◽  
Author(s):  
R. Pucci ◽  
N. H. March
2008 ◽  
Vol 130 (49) ◽  
pp. 16518-16520 ◽  
Author(s):  
Lishan Yao ◽  
Beat Vögeli ◽  
Jinfa Ying ◽  
Ad Bax

2009 ◽  
Vol 1177 ◽  
Author(s):  
Arvin Huang-Te Li ◽  
Sheng Der Chao

AbstractIntermolecular interaction potentials of the methane dimers have been calculated for 12 symmetric conformations using the Hartree-Fock (HF) self-consistent theory, the second-order M�ller-Plesset (MP2) perturbation theory, and the coupled-cluster with single and double and perturbative triple excitations (CCSD(T)) theory. The HF calculations yield unbound potentials largely due to the exchange-repulsion interaction. In MP2 and CCSD(T) calculations, the basis set effects on the repulsion exponent, the equilibrium bond length, the binding energy, and the asymptotic behavior of the calculated intermolecular potentials have been thoroughly studied. We have employed basis sets from the Slater-type orbitals fitted with Gaussian functions, Pople�s medium size basis sets to Dunning�s correlation consistent basis sets. With increasing basis size, the repulsion exponent and the equilibrium bond length converge at the 6-31G** basis set and the 6-311++G(2d, 2p) basis set, respectively, while a large basis set (aug-cc-pVTZ) is required to converge the binding energy at a chemical accuracy (˜0.01 kcal/mol). We used the BSSE corrected results that systematically converge to the destined potential curve with increasing basis size. The binding energy calculated and the equilibrium bond length using the CCSD(T) method are close to the results at the basis set limit. For molecular dynamics simulation, a 4-site potential model with sites located at the hydrogen atoms was used to fit the ab initio potential data. This model stems from a hydrogen-hydrogen repulsion mechanism to explain the stability of the dimer structure. MD simulations using the ab initio PES show good agreement on both the atom-wise radial distribution functions and the self-diffusion coefficients over a wide range of experimental conditions.


2008 ◽  
Vol 63 (1-2) ◽  
pp. 1-6 ◽  
Author(s):  
Teik-Cheng Lim

A set of relationships between parameters of the Dunham and Murrell-Sorbie potential energy function is developed. By employing Taylor series expansion and comparison of terms arranged in increasing order of bond length, a set of Dunham coefficients is obtained as functions of Murrell- Sorbie parameters. The conversion functions reveal the importance of factorials in extracting Dunham coefficients from Murrell-Sorbie parameters. Plots of both functions, based on parameters of the latter, reveal good correlation near the equilibrium bond length for a group of diatomic molecules. Potential function relations, such as that shown in this paper, are useful when the preferred/reliable data is based on a potential function different from that adopted in available computational software.


2004 ◽  
Vol 59 (3) ◽  
pp. 116-118 ◽  
Author(s):  
Teik-Cheng Lim

The two-body interactions in the Biswas-Hamann (BH) and Murrell-Mottram (MM) potential functions are analytically related in this paper by equating the zeroth to second differentials at equilibrium bond length. By invoking the Maclaurin series expansion for the exponential term, the MM potential function could be expressed in a manner that enables comparison of repulsive and attractive terms. Approximate and refined sets of scaling factors were obtained upon comparing the indices and coefficients, respectively. Finally, the suitability for each set of scaling functions is discussed in terms of the “softness” of the bonds.


2019 ◽  
Vol 5 (1) ◽  
Author(s):  
Thomas E. O’Brien ◽  
Bruno Senjean ◽  
Ramiro Sagastizabal ◽  
Xavier Bonet-Monroig ◽  
Alicja Dutkiewicz ◽  
...  

AbstractModeling chemical reactions and complicated molecular systems has been proposed as the “killer application” of a future quantum computer. Accurate calculations of derivatives of molecular eigenenergies are essential toward this end, allowing for geometry optimization, transition state searches, predictions of the response to an applied electric or magnetic field, and molecular dynamics simulations. In this work, we survey methods to calculate energy derivatives, and present two new methods: one based on quantum phase estimation, the other on a low-order response approximation. We calculate asymptotic error bounds and approximate computational scalings for the methods presented. Implementing these methods, we perform geometry optimization on an experimental quantum processor, estimating the equilibrium bond length of the dihydrogen molecule to within $$0.014$$0.014 Å of the full configuration interaction value. Within the same experiment, we estimate the polarizability of the H$${}_{2}$$2 molecule, finding agreement at the equilibrium bond length to within $$0.06$$0.06 a.u. ($$2 \%$$2% relative error).


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