## Abstract

There is a univocal correspondence between each of the (n+2)! stability coefficients of an n-component system and mean squared fluctuations of Gibbs-space variables (entropy, volume, molecule number) in which the subsystem under study is defined through a single extensive Gibbs-space variable (principal fluctuations). The relationship between principal fluctuations and stability coefficients [Eq. (53)] is derived in this paper starting from the usual expressions involving explicit calculation of the inverse of an(n+1)×(n+1) matrix. A general equation between higher order energy variations in fluctuating subsystems [Eq. (22)] is also derived. The relationship between principal fluctuations and stability coefficients yields, as particular cases, expressions which had been used previously for the limiting case of single-component systems, or extended to solutions through heuristic arguments.

Original language | English (US) |
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Pages (from-to) | 1778-1787 |

Number of pages | 10 |

Journal | The Journal of Chemical Physics |

Volume | 84 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1986 |

## All Science Journal Classification (ASJC) codes

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