### Abstract

The evaluation of the electrical resistivity of binary liquid alloys requires the true knowledge of the partial structure factors as well as the form factors of the constituent species. In principle partial structure factors are measurable, but the practical difficulties are severe and it is not promising to use the measured data. We, therefore, consider a simple theoretical approach based on hard sphere reference system and the Percus-Yevick equation to compute the partial structure factor. The concentration dependence of the hard sphere parameters are obtained by minimising the Helmholtz free energy of the system following the Gibbs-Bogoliubov variational technique. We have used it to compute the concentration dependence of electrical resistivity of NaK, KRb and NaCs liquid alloys. Our study reveals the like particle correlation contributes positively to the absolute value of electrical resistivity while the unlike particle correlation makes a negative contribution.

Original language | English |
---|---|

Pages (from-to) | 211-223 |

Number of pages | 13 |

Journal | Physics and Chemistry of Liquids |

Volume | 23 |

Issue number | 4 |

DOIs | |

Publication status | Published - Sep 1 1991 |

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### Keywords

- Hard spheres
- Percus-Yevick method

### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Electronic, Optical and Magnetic Materials
- Materials Chemistry
- Condensed Matter Physics

### Cite this

*Physics and Chemistry of Liquids*,

*23*(4), 211-223. https://doi.org/10.1080/00319109108027258

**Structure and electrical resistivity of liquid alkali alloys.** / Singh, B. P.; Choudhary, V. N.; Singh, R. N.

Research output: Contribution to journal › Article

*Physics and Chemistry of Liquids*, vol. 23, no. 4, pp. 211-223. https://doi.org/10.1080/00319109108027258

}

TY - JOUR

T1 - Structure and electrical resistivity of liquid alkali alloys

AU - Singh, B. P.

AU - Choudhary, V. N.

AU - Singh, R. N.

PY - 1991/9/1

Y1 - 1991/9/1

N2 - The evaluation of the electrical resistivity of binary liquid alloys requires the true knowledge of the partial structure factors as well as the form factors of the constituent species. In principle partial structure factors are measurable, but the practical difficulties are severe and it is not promising to use the measured data. We, therefore, consider a simple theoretical approach based on hard sphere reference system and the Percus-Yevick equation to compute the partial structure factor. The concentration dependence of the hard sphere parameters are obtained by minimising the Helmholtz free energy of the system following the Gibbs-Bogoliubov variational technique. We have used it to compute the concentration dependence of electrical resistivity of NaK, KRb and NaCs liquid alloys. Our study reveals the like particle correlation contributes positively to the absolute value of electrical resistivity while the unlike particle correlation makes a negative contribution.

AB - The evaluation of the electrical resistivity of binary liquid alloys requires the true knowledge of the partial structure factors as well as the form factors of the constituent species. In principle partial structure factors are measurable, but the practical difficulties are severe and it is not promising to use the measured data. We, therefore, consider a simple theoretical approach based on hard sphere reference system and the Percus-Yevick equation to compute the partial structure factor. The concentration dependence of the hard sphere parameters are obtained by minimising the Helmholtz free energy of the system following the Gibbs-Bogoliubov variational technique. We have used it to compute the concentration dependence of electrical resistivity of NaK, KRb and NaCs liquid alloys. Our study reveals the like particle correlation contributes positively to the absolute value of electrical resistivity while the unlike particle correlation makes a negative contribution.

KW - Hard spheres

KW - Percus-Yevick method

UR - http://www.scopus.com/inward/record.url?scp=84972979626&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972979626&partnerID=8YFLogxK

U2 - 10.1080/00319109108027258

DO - 10.1080/00319109108027258

M3 - Article

VL - 23

SP - 211

EP - 223

JO - Physics and Chemistry of Liquids

JF - Physics and Chemistry of Liquids

SN - 0031-9104

IS - 4

ER -