# Dipole, quadrupole, octupole, and dipole-dipole-quadrupole polarizabilities and second hyperpolarizabilities at real and imaginary frequencies for helium in the 2[sup 3]S state: Dispersion-energy coefficients for interactions between He(2[sup 3]S) and H(1[sup 2]S), He(1[sup 1]S), He(2[sup 3]S), or H[sub 2](X[sup 1][Sigma][sub g][sup +])

## Abstract

The authors have determined the dynamic dipole ([alpha][sub 1]), quadrupole ([alpha][sub 3]), and dipole-dipole-quadrupole (B) polarizabilities and the second hyperpolarizability tensor ([gamma]) for the helium atom in its lowest triplet state (2[sup 3]S). They have done so for both real and imaginary frequencies: in the former case, for a range of frequencies ([omega]) between zero and the first electronic-transition frequency, and in the latter case for a 32-point Gauss-Legendre grid running from zero to [Dirac h][omega] = 20 E[sub h]. They have also determined the dispersion-energy coefficients C[sub 6], C[sub 8], and C[sub 10] for the systems H(1[sup 2]S)-He(2[sup 3]X), He(1[sup 1]S)-He(2[sup 3]S), and He(2[sup 3]S)-He(2[sup 3]S) and the C[sub 6][sup 0], C[sub 6][sup 2], C[sub 8][sup 0], C[sub 8][sup 4] coefficients for the interaction He(2[sup 3]S)-H[sub 2](X[sup 1][Sigma][sub g][sup +]). Their values of the higher-order multipolar polarizabilities and of [gamma] for the 2[sup 3]S state of helium are, they believe, the first to be published. 14 refs., 5 tabs.

- Authors:

- (Univ. of Ottawa, Ontario (Canada))

- Publication Date:

- OSTI Identifier:
- 5927974

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: International Journal of Quantum Chemistry; (United States); Journal Volume: 47:2

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; HELIUM; POLARIZABILITY; HYDROGEN; DIPOLES; ENERGY; INTERACTIONS; MATHEMATICAL MODELS; OCTUPOLES; QUADRUPOLES; ELECTRICAL PROPERTIES; ELEMENTS; FLUIDS; GASES; MULTIPOLES; NONMETALS; PHYSICAL PROPERTIES; RARE GASES; 664100* - Theory of Electronic Structure of Atoms & Molecules- (1992-)

### Citation Formats

```
Bishop, D.M., and Pipin, J..
```*Dipole, quadrupole, octupole, and dipole-dipole-quadrupole polarizabilities and second hyperpolarizabilities at real and imaginary frequencies for helium in the 2[sup 3]S state: Dispersion-energy coefficients for interactions between He(2[sup 3]S) and H(1[sup 2]S), He(1[sup 1]S), He(2[sup 3]S), or H[sub 2](X[sup 1][Sigma][sub g][sup +])*. United States: N. p., 1993.
Web. doi:10.1002/qua.560470204.

```
Bishop, D.M., & Pipin, J..
```*Dipole, quadrupole, octupole, and dipole-dipole-quadrupole polarizabilities and second hyperpolarizabilities at real and imaginary frequencies for helium in the 2[sup 3]S state: Dispersion-energy coefficients for interactions between He(2[sup 3]S) and H(1[sup 2]S), He(1[sup 1]S), He(2[sup 3]S), or H[sub 2](X[sup 1][Sigma][sub g][sup +])*. United States. doi:10.1002/qua.560470204.

```
Bishop, D.M., and Pipin, J.. Thu .
"Dipole, quadrupole, octupole, and dipole-dipole-quadrupole polarizabilities and second hyperpolarizabilities at real and imaginary frequencies for helium in the 2[sup 3]S state: Dispersion-energy coefficients for interactions between He(2[sup 3]S) and H(1[sup 2]S), He(1[sup 1]S), He(2[sup 3]S), or H[sub 2](X[sup 1][Sigma][sub g][sup +])". United States. doi:10.1002/qua.560470204.
```

```
@article{osti_5927974,
```

title = {Dipole, quadrupole, octupole, and dipole-dipole-quadrupole polarizabilities and second hyperpolarizabilities at real and imaginary frequencies for helium in the 2[sup 3]S state: Dispersion-energy coefficients for interactions between He(2[sup 3]S) and H(1[sup 2]S), He(1[sup 1]S), He(2[sup 3]S), or H[sub 2](X[sup 1][Sigma][sub g][sup +])},

author = {Bishop, D.M. and Pipin, J.},

abstractNote = {The authors have determined the dynamic dipole ([alpha][sub 1]), quadrupole ([alpha][sub 3]), and dipole-dipole-quadrupole (B) polarizabilities and the second hyperpolarizability tensor ([gamma]) for the helium atom in its lowest triplet state (2[sup 3]S). They have done so for both real and imaginary frequencies: in the former case, for a range of frequencies ([omega]) between zero and the first electronic-transition frequency, and in the latter case for a 32-point Gauss-Legendre grid running from zero to [Dirac h][omega] = 20 E[sub h]. They have also determined the dispersion-energy coefficients C[sub 6], C[sub 8], and C[sub 10] for the systems H(1[sup 2]S)-He(2[sup 3]X), He(1[sup 1]S)-He(2[sup 3]S), and He(2[sup 3]S)-He(2[sup 3]S) and the C[sub 6][sup 0], C[sub 6][sup 2], C[sub 8][sup 0], C[sub 8][sup 4] coefficients for the interaction He(2[sup 3]S)-H[sub 2](X[sup 1][Sigma][sub g][sup +]). Their values of the higher-order multipolar polarizabilities and of [gamma] for the 2[sup 3]S state of helium are, they believe, the first to be published. 14 refs., 5 tabs.},

doi = {10.1002/qua.560470204},

journal = {International Journal of Quantum Chemistry; (United States)},

number = ,

volume = 47:2,

place = {United States},

year = {Thu Jul 15 00:00:00 EDT 1993},

month = {Thu Jul 15 00:00:00 EDT 1993}

}