### Abstract

The mean spherical approximation and related integral equations theories (such as the linearized hypernetted chain equation) are studied for a fluid composed of atoms or spherical molecules with quantum mechanical fluctuating internal dipoles. We derive the solutions of these equations for the case in which the intramolecular restoring force for a fluctuating dipole is harmonic (i.e., a quantum Drude model). In the limit of low oscillator frequencies, the solutions reduce to those deduced by Pratt on the basis of classical theory. We discuss the frequency dependence of the fluid renormalizations of atomic polarizabilities, and show that for the zero frequency applications discussed by Pratt, the classical theory is correct. We find, however, that the finite frequency quantum effects play a dominant role for many experimentally relevant properties. Generalizations of the quantum theory to include features such as charge overlap and hyperpolarizabilities are also discussed. The relationship between low order quantum mechanical perturbation theory and the integral equation theories is described.

Original language | English (US) |
---|---|

Pages (from-to) | 1128-1135 |

Number of pages | 8 |

Journal | The Journal of Chemical Physics |

Volume | 76 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1982 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

### Cite this

*The Journal of Chemical Physics*,

*76*(2), 1128-1135. https://doi.org/10.1063/1.443081

**Quantum theory of polarization in liquids : Exact solution of the mean spherical and related approximations.** / Thompson, Mark J.; Schweizer, Kenneth S.; Chandler, David.

Research output: Contribution to journal › Article

*The Journal of Chemical Physics*, vol. 76, no. 2, pp. 1128-1135. https://doi.org/10.1063/1.443081

}

TY - JOUR

T1 - Quantum theory of polarization in liquids

T2 - Exact solution of the mean spherical and related approximations

AU - Thompson, Mark J.

AU - Schweizer, Kenneth S.

AU - Chandler, David

PY - 1982/1/1

Y1 - 1982/1/1

N2 - The mean spherical approximation and related integral equations theories (such as the linearized hypernetted chain equation) are studied for a fluid composed of atoms or spherical molecules with quantum mechanical fluctuating internal dipoles. We derive the solutions of these equations for the case in which the intramolecular restoring force for a fluctuating dipole is harmonic (i.e., a quantum Drude model). In the limit of low oscillator frequencies, the solutions reduce to those deduced by Pratt on the basis of classical theory. We discuss the frequency dependence of the fluid renormalizations of atomic polarizabilities, and show that for the zero frequency applications discussed by Pratt, the classical theory is correct. We find, however, that the finite frequency quantum effects play a dominant role for many experimentally relevant properties. Generalizations of the quantum theory to include features such as charge overlap and hyperpolarizabilities are also discussed. The relationship between low order quantum mechanical perturbation theory and the integral equation theories is described.

AB - The mean spherical approximation and related integral equations theories (such as the linearized hypernetted chain equation) are studied for a fluid composed of atoms or spherical molecules with quantum mechanical fluctuating internal dipoles. We derive the solutions of these equations for the case in which the intramolecular restoring force for a fluctuating dipole is harmonic (i.e., a quantum Drude model). In the limit of low oscillator frequencies, the solutions reduce to those deduced by Pratt on the basis of classical theory. We discuss the frequency dependence of the fluid renormalizations of atomic polarizabilities, and show that for the zero frequency applications discussed by Pratt, the classical theory is correct. We find, however, that the finite frequency quantum effects play a dominant role for many experimentally relevant properties. Generalizations of the quantum theory to include features such as charge overlap and hyperpolarizabilities are also discussed. The relationship between low order quantum mechanical perturbation theory and the integral equation theories is described.

UR - http://www.scopus.com/inward/record.url?scp=0001605474&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001605474&partnerID=8YFLogxK

U2 - 10.1063/1.443081

DO - 10.1063/1.443081

M3 - Article

AN - SCOPUS:0001605474

VL - 76

SP - 1128

EP - 1135

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 2

ER -