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首页> 外文期刊>Bulletin of the Chemical Society of Japan >A Reason of Linear Additivity of '#pi# Energy' in Polyenes
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A Reason of Linear Additivity of '#pi# Energy' in Polyenes

机译:多烯中“#pi#能量”线性可加性的原因

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摘要

The Huckel molecular orbital theory stands on the approximation that a #pi# electron moves in the average field of potentials from other (#sigma# and #pi#) electrons and nuclei, where the nuclear-nuclear repulsion energies are not taken into consideration. A strange property of the Huckel energy is that it has a linear addivity with respect to the ethylene unit in polyenes. Based on the molecular virial theorem and a previous finding that the Huckel energy represents the kinetic energy of #pi# electron (_#pi#), the linearity problem is reduced to two points: (1) why the ratio of _#pi# to the total kinetic energy () is constant in linear polyenes and (2) why is linear with respect to the ethylene unit. We treated the second problem using a newly developed energy-partitioning technique, and found that the total atomic interactions are well localized around the region between neighboring atoms in spite of strong long-range interactions of the individual potential-energy terms. If we adopt the fact that _#pi#/ is constant, the riddle of why _#pi# or Huckel energy includes the information on the nuclear configuration is also understood through the virial theorem.
机译:霍克尔分子轨道理论基于这样一个近似值:#pi#电子在来自其他(#sigma#和#pi#)电子和原子核的电势的平均场中移动,其中未考虑核-核排斥能。 Huckel能量的一个奇怪特性是,它相对于多烯中的乙烯单元具有线性加成。基于分子病毒定理和先前的发现,即哈克尔能代表#pi#电子的动能( _#pi#),线性问题被简化为两点:(1)为什么<在线性多烯中,总动能()为T>常数,(2)为什么相对于乙烯单元为线性。我们使用新开发的能量分配技术处理了第二个问题,发现尽管各个势能项之间存在很强的长期相互作用,但总原子相互作用很好地定位在相邻原子之间的区域周围。如果我们采用 _#pi#/ 是常数的事实,那么通过病毒定理也可以理解为什么 _#pi#或Huckel能量包含有关核构型的信息之谜。

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