948 Mr. A. M. Mosharrafa on the Appearance of 

 Thus, substituting in (15) and putting 



Vo = ^ 



LIT 



we have, on equating the coefficients of powers of: F, 



47T 2 KgE) 2 . 



K - + (^f^^3)^ * ' • ' ' (18) 



3 A 2 



L = £^|, (Ws—ttl) 0*1 + w 2 + w 3)> . . . (19) 



M L 2 3m eAL> . 



(20) 





__ 3A 4 (wi + W8 + W3)N 



64tt 4 E 2 K 

 On substituting from (18) and (19) in (20), we finally 



obtain n . 7(!/ N „ 



-27h b (n 1 + n 2 + 7iz)° 



hn 2 e^ 



where W = (n\+n 2 + n 3 )(n 2 -~ni) 2 + N. ... (22) 



We thus finally have the full expression for the energy : 



w 2ttW 2 E 2 3FA 2 ' - ' ■ . 



W =~ ^i + n, + n,)W "8^^ (n '" Wl)(wl + ^ + M8) 



5127r 6 E 4 m V v y 



Thus if AW represent the change in W due to the intro- 

 duction of the external field F, we have 



-AW= 8 ^ 2 ^ E (n 2 ->i 1 )(rt 1 + n 2 + W3) 



_?Z*§l+2!+^N'F». . (24) 



5127r 6 E 4 m 3 £ 2 v y 



Thus Av [the corresponding change in frequency] is 

 given, according to Bohr's assumption 



hAv = AW TO -AW„, 

 where W m denotes the energy for motion in a path [cha- 

 racterized by the quantum numbers m^ m 2 m 3 ] from which 

 the electron starts to move towards the n-path, by the 

 formula 



A 3/iF , , \ / , \ 



= Sir 2 m E H n »" n i)( n i + B » + ' n ») 



— (m 2 — mj) (rm + m 2 + m 3 ) } 



+ 51ArfBSnoV -(n 1 + « 2 + „ 3 ) 3 NY«) 



+ (m 1 + ?n 2 + m s )N'(m)}, • O) 



