A finite field method for calculating spherical tensor molecular polarizability tensors Ξ±(lm;l'm') = βΞ(lm)/βΟ(l'm')\* by numerical derivatives of induced molecular multipole Ξ(lm) with respect to gradients of electrostatic potential Ο(l'm')\* is described for arbitrary multipole ranks l and l'. Int
An extended variational method for calculating molecular multipole polarizabilities
β Scribed by Jean-Louis Rivail; Alain Cartier
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 388 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
The improvement proposed by ShuMa and Easa to the variational calculation of multipoie pokuizabdities of atoms has been applied to molecules. The convergence of the technique appears to be fair but the accuracy of the results is stron& dependent on the quality of the initial wavefunction. in the case of methane, the best values of the dipole-quadrupole znd pure quadrupole pokutiabilities are: (4xeu)-'A,,, = 0.7 19 X 1O'O m4, (4nro)-' C,,,, = f S62 X fO-50 ms I (4~0 j-t X GIPx,. = 1.350 X 1O-so ms_ _ _
π SIMILAR VOLUMES
The variational method for the calculation of the electronic polarizability of molecules within the NDDO-based semiempirical MO methods MNDO, AM1, and PM3 was parametrized to improve its accuracy. A training set of 156 compounds was used to fit 34 parameters simultaneously for 12 elements using a si
## Abstract Calculations of molecular polarizabilities require basis sets capable of accurately describing the responses of the electrons to an external perturbation. Unfortunately, basis sets that yield suitable quantitative results have traditionally been allβelectron sets with large numbers of p
A consistent use of the spectral representation is made to develop an effective Hamiltonian for molecular calculations in which only active electrons are dealt with, keeping other electrons frozen. The effective Hamiltonian is prepared without invoking any parameter fitting and adjusting procedures.
## Abstract Evaluation of longβrange Coulombic interactions still represents a bottleneck in the molecular dynamics (MD) simulations of biological macromolecules. Despite the advent of sophisticated fast algorithms, such as the fast multipole method (FMM), accurate simulations still demand a great