624 Mr. S. N. Basu on the Deduction of Rydberg's Law 

 Now, collecting all the quanta conditions, we have 



_ nji 



m (meLY 2 ' _n 2 h 



° 2 Cl+ 4c// 2 [6Cl C2 > ~27' 



2 ~ 2tt' 



(m \ 

 w) 



So that we have 



„ 1/2 . (meh) 2 / W'i 2 \ ( Wl + n 2 )h 



and > 1/2 7 



Assuming 



" 2 ~2tt' 

 we have 



?/7i (mgL) 2 (27r) 5 r Znth* y 2 h 2 l _ (n 1 + n 2 )h 

 2tt 4/A 5 L 4tt 2 47r" 2 J "". 2ir ' 



or 



L /27r 2 meL\ 2 l 2 



y+(^ ^2 ; ^Oi -2/) =n, + n 2 . 



Calling 



/27r 2 mcL\ 2 



HH = "' 

 we have 



^(w) ,/2= i ( " 3+ ^' 



where 



y+~j(3 n i 2 — y 2 ) = n i+^3 ; 



we have approximately 

 So that 



w = 47rVm 2 



/^r + + + « / i_ 3 "i 2 yr 



So that the energy in the statical path 



27rVm 



/r 



h+ ii2 + n * + j^^( 1 -^^)^ 



