同系能级因子的三个新形式及其与以往各因子间的关系

Three New Forms of Homologous Energy Level Factor and the Relations among Them and the Others

用差分方程法推导并得到同系能级因子的三个新的形式 :xk =2n +8n+4.5sink-122n+1 π ,xk =2n +8n+4.5sin kπ2n+1 ,xk =sin kπ2n+1 ,k =1 ,2 ,… ,n .(n为同系序数 ,k为能级序数 ) ,并探讨了它们与以往各因子之间的关系。

Three new forms of the homologous energy level factor:x k=2n+8n+4.5 sin k-122n+1π,x k=2n+8n+4.5 sin kπ2n+1,x k= sin kπ2n+1,k=1,2,…,n.They were obtained by the difference equation method,where n is the number of the repeat unit,k is the energy level ordinal number. This paper discusses the relations among these new factors and some old factors.