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yjjc2012

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[求助] 原子轨道线性组合

对于P轨道,Pz(m=0)的波函数是实数方程,而m为正负1时的两个波函数是复数方程,所以一般考虑这两个方程线性组合后的实数方程Px和Py。这个数学原理我清楚-线性组合后的波函数仍旧是同一个汉密尔顿算符的本征函数,也就是氢原子薛定谔方程的一个解。但是我不太理解Atkins在Molecular Quantum Mechanics的这句话: The complex orbitals are the appropriate forms to use in atoms and linear molecules where there are no well-defined x- and y-axes; the real forms are more appropriate when x- and y-axes are well defined, such as in non-linear molecules。而且对于这种线性组合后的原子轨道代替原来的原子轨道(如d轨道里除了dz平方轨道的四个原子轨道,再如杂化轨道)的逻辑关系,我还是不太清楚,求解答。谢谢@我想更懂你29@我想更懂你29@甄士隐207@jiagle
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