### Abstract

The excess Gibbs energy of mixing for a regular solution can be derived systematically by defining the interaction energy for particle groups composed of closest neighbors at equivalent site. The internal energy of a system is regarded as the sum of the interaction energy for particle groups and the excess function is derived from the sum of the interaction energy change caused by the formations of particle groups. In the present paper, we have derived the excess Gibbs energy of mixing for ternary and quaternary regular solutions with a closest packing. For a ternary regular solution, the molar excess Gibbs energy of mixing is given as follows, where X_{i}is a mole fraction of the component i and W_{ijk}is an interaction parameter of [ijk] triplet. The following expressions for w-component systems are derived by the similar method by supposing interaction energy among r particles. Some previously proposed models can be derived from our model.

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

Pages (from-to) | 163-168 |

Number of pages | 6 |

Journal | Proceedings of the Japan Academy Series B: Physical and Biological Sciences |

Volume | 70 |

Issue number | 10 |

DOIs | |

Publication status | Published - 1994 |

### Fingerprint

### Keywords

- Excess Gibbs energy
- Quaternary system
- Regular solution
- Ternary system
- Thermodynamics

### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of the Japan Academy Series B: Physical and Biological Sciences*,

*70*(10), 163-168. https://doi.org/10.2183/pjab.70.163

**33. A New Model of the Excess Gibbs Energy of Mixing for a Regular Solution.** / Kakuda, Yasushi; Uchida, Etsuo; Imai, Naova.

Research output: Contribution to journal › Article

*Proceedings of the Japan Academy Series B: Physical and Biological Sciences*, vol. 70, no. 10, pp. 163-168. https://doi.org/10.2183/pjab.70.163

}

TY - JOUR

T1 - 33. A New Model of the Excess Gibbs Energy of Mixing for a Regular Solution

AU - Kakuda, Yasushi

AU - Uchida, Etsuo

AU - Imai, Naova

PY - 1994

Y1 - 1994

N2 - The excess Gibbs energy of mixing for a regular solution can be derived systematically by defining the interaction energy for particle groups composed of closest neighbors at equivalent site. The internal energy of a system is regarded as the sum of the interaction energy for particle groups and the excess function is derived from the sum of the interaction energy change caused by the formations of particle groups. In the present paper, we have derived the excess Gibbs energy of mixing for ternary and quaternary regular solutions with a closest packing. For a ternary regular solution, the molar excess Gibbs energy of mixing is given as follows, where Xiis a mole fraction of the component i and Wijkis an interaction parameter of [ijk] triplet. The following expressions for w-component systems are derived by the similar method by supposing interaction energy among r particles. Some previously proposed models can be derived from our model.

AB - The excess Gibbs energy of mixing for a regular solution can be derived systematically by defining the interaction energy for particle groups composed of closest neighbors at equivalent site. The internal energy of a system is regarded as the sum of the interaction energy for particle groups and the excess function is derived from the sum of the interaction energy change caused by the formations of particle groups. In the present paper, we have derived the excess Gibbs energy of mixing for ternary and quaternary regular solutions with a closest packing. For a ternary regular solution, the molar excess Gibbs energy of mixing is given as follows, where Xiis a mole fraction of the component i and Wijkis an interaction parameter of [ijk] triplet. The following expressions for w-component systems are derived by the similar method by supposing interaction energy among r particles. Some previously proposed models can be derived from our model.

KW - Excess Gibbs energy

KW - Quaternary system

KW - Regular solution

KW - Ternary system

KW - Thermodynamics

UR - http://www.scopus.com/inward/record.url?scp=85004434301&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85004434301&partnerID=8YFLogxK

U2 - 10.2183/pjab.70.163

DO - 10.2183/pjab.70.163

M3 - Article

AN - SCOPUS:85004434301

VL - 70

SP - 163

EP - 168

JO - Proceedings of the Japan Academy Series B: Physical and Biological Sciences

JF - Proceedings of the Japan Academy Series B: Physical and Biological Sciences

SN - 0386-2208

IS - 10

ER -