of Stationary States of Motion. 251 



Treating the terms arising from U<p in the same way 

 we find 



-R = ±7r%S f " (Jf f [ { (A 3 + L 2 cos ^Jk'(> sin 0) 



/, r . . „ M 3 cos0 — B 2 _\ T ,. . m l 

 -(M lt ;wsin0 + gin ^ ?*jJ K 0«-Bin 0) J 



. j (As' + IV cos 0) ?VJ K 'OV sin 0) 



-(M/^'sin + M 3 '.cos^-B 2 ' ^ Js0V s . n fl) J 



+ J (B 3 -f M 2 cos 0)j<GrJ K '(jvr sin 0) 



+/L,>Bin0+ LaC sf n V A ^)' ] KOsin 0) } 

 . j (B 3 ' i- M/ cos 0)jvf' JkUht' sin 0) 



4- (v ; v sin e + L, ' c °fr "^ Jk( ;V sil1 ^ ! 



+ -j (L 3 — A 2 cos 6)jvtJ- k '(J / &- sin 6) 



, /t> . . „ B 3 cos0 + M 27 \ t , . . m l 

 H-^B^isrsm^H- . ^ &J J K (,/^ sin (9) I 



. | (IV - A,' cos %VJ K '(>-' sin 0) 



,/t>,. , . a B 3 'cos0+M 2 '\ T .'. , . ^ 1 

 + 1 B x jiff' sin -f — - „ k \ Jk(,/ot sin 0) L 



+ {(Ma-BjjCos^VJx'OVsin^) 



- (A U V sin -f A ' C S 7// L2 *) Jk(> sin 0) 1 



. | (M 3 '-B 2 'cos0)>^J K '( t ;Vsin0) 



-(a^W sin0 + - Vc ^ +L ^ )j K (,yV sin 0) } ] 



. cos{ t ;*(2— z') cos0} .d'srdzd'&'dz' sin 0d0. . . . (15) 



The summations must be taken for all positive and negative 

 values of j and k, and both sets of integrations with respect 

 to w, z and «■', z over the area swept out by the electron. 



