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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 LeRoy radius ： ウィキペディア英語版 LeRoy radius The LeRoy radius, derived by Robert J. LeRoy, defines the internuclear distance between two atoms at which LeRoy-Bernstein theory (sometimes called near-dissociation theory) becomes valid. LeRoy-Bernstein theory is a semi-classical (WKB) approach for describing vibrational energy levels near the molecular dissociation limit. In this limit, the interaction potential between two atoms can be approximated as $V(r)\; =\; \backslash mathfrak\; -\; C\_/r^$, which gives rise to a simple analytical approximation for the vibrational energy levels: :$G(v)\; =\; \backslash mathfrak-X\_n(C\_n)(-\; v)^\}.$ In this expression, $X\_n(C\_n)$ is a simple function depending only upon ''n'' and ''C''''n'', and $v\_$ can be identified as an effective vibrational quantum number at dissociation. LeRoy later defined an expression for the radius that approximates a boundary between the region where electron exchange (quantum-mechanical) terms are prominent, and the region where atoms and molecules approximately interact through the laws of classical physics and, thus, LeRoy-Bernstein theory (as independent charge distributions and van der Waals interactions expressible as a power series in the internuclear separation). This radius is defined as :$R\_\; +\; \backslash langle\; r\_B^2\; \backslash rangle\; ^\; )$, where ''rA'' and ''rB'' denote the atomic radii of the two atoms. For $r>R\_$, the internuclear potential can be reasonably approximated by charge independent atomic distributions, and the vibrational levels can be well described by LeRoy-Bernstein theory. For A derivation of a more general expression, called the ''m''-dependent LeRoy radius, which depends on the magnetic quantum number (''m''), was derived in 1995. This expression yields the traditional LeRoy Radius in the special case of a spherical, S-state, atom. The LeRoy radius is described in high school level chemistry textbooks in Ontario (particularly, in Nelson Chemistry 12, which is the standard required textbook for grade 12 chemistry education in Ontario). ==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「LeRoy radius」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.