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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 Six factor formula ： ウィキペディア英語版 Six factor formula The six-factor formula is used in nuclear engineering to determine the multiplication of a nuclear chain reaction in a non-infinite medium. The formula is $k\; =\; \backslash eta\; f\; p\; \backslash varepsilon\; P\_\; P\_$ | 1.65 |- | $f$ | The thermal utilization factor | Probability that a neutron that gets absorbed does so in the fuel material. | $f\; =\; \backslash frac$ | 0.71 |- | $p$ | The resonance escape probability | Fraction of fission neutrons that manage to slow down from fission to thermal energies without being absorbed. | $p\; \backslash approx\; \backslash mathrm\; \backslash left(\; -\backslash frac\; N\_i\; I\_\}\}\; \backslash right)$ | 0.87 |- | $\backslash varepsilon$ | The fast fission factor (Epsilon) | $\backslash tfrac\}$ | $\backslash varepsilon\; \backslash approx\; 1\; +\; \backslash frac\backslash frac\; P\_\}$ | 1.02 |-| |- | $P\_$ | The fast non-leakage probability | The probability that a fast neutron will not leak out of the system. | $P\_\; \backslash approx\; \backslash mathrm\; \backslash left(\; -^2\; \backslash tau\_\; \backslash right)$ | 0.97 |-| |- | $P\_$ | The thermal non-leakage probability | The probability that a thermal neutron will not leak out of the system. | $P\_\; \backslash approx\; \backslash frac^2\}$ | 0.99 |- |} The symbols are defined as: *$\backslash nu$, $\backslash nu\_f$ and $\backslash nu\_t$ are the average number of neutrons produced per fission in the medium (2.43 for Uranium-235). *$\backslash sigma\_f^F$ and $\backslash sigma\_a^F$ are the microscopic fission and absorption cross sections for fuel, respectively. *$\backslash Sigma\_a^F$ and $\backslash Sigma\_a$ are the macroscopic absorption cross sections in fuel and in total, respectively. *$N\_i$ is the number density of atoms of a specific nuclide. *$I\_$ is the resonance integral for absorption of a specific nuclide. * *$I\_\; =\; \backslash int\_\; dE\text{'}\; \backslash frac\; \backslash frac$. *$\backslash overline$ is the average lethargy gain per scattering event. * *Lethargy is defined as decrease in neutron energy. *$u\_f$ (fast utilization) is the probability that a fast neutron is absorbed in fuel. *$P\_$ is the probability that a fast neutron absorption in fuel causes fission. *$P\_$ is the probability that a thermal neutron absorption in fuel causes fission. *$^2$ is the geometric buckling. *$\}^2\; =\; \backslash frac$ is the age to thermal. * *$\backslash tau\; =\; \backslash int\_\; dE\text{'}\text{'}\; \backslash frac\; \backslash frac^2\; +\; \backslash Sigma\_t(E\text{'})\; \backslash right\; )\}$. * *$\backslash tau\_$ is the evaluation of $\backslash tau$ where $E\text{'}$ is the energy of the neutron at birth. ==Multiplication== The multiplication factor, k, is defined as (see Nuclear chain reaction): $k\; =\; \backslash frac\}$ If k is greater than 1, the chain reaction is ''supercritical,'' and the neutron population will grow exponentially. If k is less than 1, the chain reaction is ''subcritical,'' and the neutron population will exponentially decay. If k = 1, the chain reaction is ''critical'' and the neutron population will remain constant. 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「Six factor formula」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.