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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Isothermal–isobaric ensemble ： ウィキペディア英語版 Isothermal–isobaric ensemble The isothermal–isobaric ensemble (constant temperature and constant pressure ensemble) is a statistical mechanical ensemble that maintains constant temperature $T\; \backslash ,$ and constant pressure $P\; \backslash ,$ applied. It is also called the $NpT$-ensemble, where the number of particles $N\; \backslash ,$ is also kept as a constant. This ensemble plays an important role in chemistry as chemical reactions are usually carried out under constant pressure condition. The partition function can be written as the weighted sum of the partition function of canonical ensemble, $Z(N,\; V,\; T)\; \backslash ,$ . :$\backslash Delta(N,\; P,\; T)\; =\; \backslash int\; Z(N,\; V,\; T)\; \backslash exp(-\backslash beta\; PV\; )\; C\; dV.\; \backslash ,\backslash ;$ where $\backslash beta=1/k\_B\; T\; \backslash ,$ ($k\_B\; \backslash ,$ is the Boltzmann constant), and $V\backslash ,$ is volume of the system. There are several candidates for the normalization factor $C\; \backslash ,$, e.g., $C=N/V\backslash ,$, or $C=\backslash beta\; P\; \backslash ,$. These choices make the partition function a nondimensional quantity. The differences vanish in the thermodynamic limit, i.e., in the limit of infinite number of particles. The characteristic state function of this ensemble is the Gibbs free energy, :$G(N,\; P,\; T)\; =\; -\; k\_B\; T\; \backslash ln\; \backslash Delta(N,\; P,\; T)\; \backslash ;\backslash ,$ This thermodynamic potential is related to the Helmholtz free energy (logarithm of the canonical partition function), $F\backslash ,$, in the following way:〔 :$G\; =\; F+PV.\; \backslash ;\backslash ,$ == References == 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Isothermal–isobaric ensemble」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.