1903.] Expansion of some of the less Magnetic Metals. 377 



Also 



if (l-z)dz 1 r* (l + e)dz 



gfj _, {(J - zY + a 2 } w + 21 J _, !(/ + ,?) 2 + a 2 } +* 



.^ JL /1-/L-5 Y"" 1 ! 



2/ (2n - 1) a 2 * I V v '(4/ 2 + O/ / * 

 Hence from (1) 



Z = H (0-866 - 0-184 x 0-192 x 0*145 x 0-857+0-552 x 0-192 x 0-145 



x 0-332 = 0-867 . H, 



Again, (1) gives, after simple algebraic transformations, 

 Z2 = H 2 |~0-500- 0-268 - ^- 



(J-3)2 + 



+ 0-071- 



-0-024 

 a 4 



-0-024- 



+ -7, 



-0-018^ -, + 0-053 



\vhere terms in c 4 have been neglected. 

 Z- involves the following integrals : 



H' r _^i_ _^ __ 



21 J _ z L {(/ - ^) 2 + 2 } n {(I + O 2 + 2 } n 



and 



Iff 1 1 _ 



2* J _i L {(* - ^) 2 + ^ 2 } n {(/ + '-)- + < rt 



Call them I n , J n . 



In I n put 2 ^ = cot ; then 



_ 0-290 PI. 3... (2-3)^ . _J_/y" '], approximately. 

 a^ [2 . 4 . . . (2 - 2) 2 2 - 1 W J 



