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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 Birch-Murnaghan equation of state ： ウィキペディア英語版 Birch–Murnaghan equation of state The Birch–Murnaghan isothermal equation of state, published in 1947 by Francis Birch of Harvard, is a relationship between the volume of a body and the pressure to which it is subjected. This equation is named after Albert Francis Birch and Francis Dominic Murnaghan. Birch proposed this equation in a publication in 1947, based on the work of the Murnaghan of Johns Hopkins University published in 1944. == Expressions for the equation of state == The third-order Birch–Murnaghan isothermal equation of state is given by: :$$ P(V)=\frac \left(- \left(\frac\right)^\frac\right ) \left\\left(B_0^\prime-4\right) \left(- 1\right )\right\}. where ''P'' is the pressure, ''V''0 is the reference volume, ''V'' is the deformed volume, ''B''0 is the bulk modulus, and ''B''0' is the derivative of the bulk modulus with respect to pressure. The bulk modulus and its derivative are usually obtained from fits to experimental data and are defined as :$B\_0\; =\; -V\; \backslash left(\backslash frac\backslash right)\_$ and :$B\_0\text{'}\; =\; \backslash left(\backslash frac\backslash right)\_$ The expression for the equation of state is obtained by expanding the free energy ''f'' in the form of a series: :$$ f = \frac\left(- 1\right ) \,. The internal energy, ''E''(''V''), is found by integration of the pressure: :$$ E(V) = E_0 + \frac \left\\right)^\frac-1\right" TITLE="\left(\frac\right)^\frac-1\right">)^3B_0^\prime + \left()^2 \left()\right\}. 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「Birch–Murnaghan equation of state」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.