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化学学报
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化学学报 ›› 1981, Vol. 39 ›› Issue (4): 293-307. 上一篇    下一篇

论文

载波的调谐性和角频率及关节系数计算

李向平   

  1. 北京工业学院
  • 投稿日期:1979-05-07 发布日期:2013-06-03

THE HARMONIOUSNESS OF CARRIER WAVES AND THE CALCULATIONS OF ANGULAR FREQUENCIES AND JOINT COEFFICIENTS

LI XIANG-PING   

  1. Beijing Institute of Technology
  • Received:1979-05-07 Published:2013-06-03

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被引次数

3

已知直链和单环共轭分子的轨道系数α是原子编号q的正弦函数及余弦函数:
α=(2/(n+1))1/2sinωq及α=(2/n)1/2cosωq
其中角频率ω和能级E有关:
E=α+2βcosω
函数α=f(q)为分子轨道的载波(它是整标函数),可见直链和单环的载波是谐波.本文将上述结论推广到一般的纯核等键长共轭分子上.将分子的结构图分解成若干链条,各链条的衔接点处是关节原子.

It has been pointed out that the orbital coefficient a of straight chain and monocyclic conjugated molecules is the sine and cosine function of atom number q:
α=(2/(n+1))1/2sinωq,α=(2/n)1/2cosωq
where the angular frequency ω is related to the energy level E:
E=α+2βcosω
The author in his previous work calls the function a=f (q) the carrier wave of molecular orbit (which is a function where the variable is positive integers).