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Yukawa–Tsuno equation : ウィキペディア英語版
Yukawa–Tsuno equation
The Yukawa-Tsuno Equation, first developed in 1959,〔Yukawa Y, Tsuno Y. "Resonance Effect in Hammett Relationship. II. Sigma Constants in Electrophilic Reactions and their Intercorrelation." ''Bull. Chem. Soc. Jap.'' 32 965-71 (1959)〕 is a linear free-energy relationship in physical organic chemistry. It is a modified version of the Hammett equation that accounts for enhanced resonance effects in electrophilic reactions of para- and meta-substituted organic compounds. This equation does so by introducing a new term to the original Hammett relation that provides a measure of the extent of resonance stabilization for a reactive structure that builds up charge (positive or negative) in its transition state. The Yukawa-Tsuno Equation can take the following forms:
::::::::\log \frac = \rho(\sigma + r(\sigma^+ - \sigma))
::::::::\log \frac = \rho(\sigma + r(\sigma^- - \sigma))
where and represent the rate constants for an X-substituted and unsubstituted compound, respectively; represents the Hammett reaction constant; represents the Hammett substituent constant; and represent the Hammett substituent constants for reactions in which positive or negative charges are built up at the reactive center, respectively; and represents the Yukawa-Tsuno parameter.
==Background==

The Hammett substituent constant, , is composed of two independent terms: an inductive effect and a resonance polar effect . These components represent the consequences of the presence of a particular substituent on reactivity through sigma and pi bonds, respectively. For a particular substituent, the value of is generally assumed to be a constant, irrespective of the nature of the reaction; however, it has been shown that for reactions of para-substituted compounds in which the transition state bears a nearly full charge, does not remain constant, and thus, the sum \sigma = \sigma_R+\sigma_I is also variable. In other words, for such reactions, application of the standard Hammett Equation ''does not'' produce a linear plot. To correlate these deviations from linearity, Yasuhide Yukawa and Yuho Tsuno proposed a modification to the original Hammett Equation which accounts exclusively for enhanced resonance effects due to the high electron demand during such reactions.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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