Light scattered by Spherical Metal Particles. 467 



below. Their actual values, as far as they are required in 

 the present calculation, are given in the following tables: — 



Table of 



(2k + 1)P, 

 w(n+l) 



11. 



1... 



,1=0. 



0=i- 



H=h 



P=i 



0=1. 



+ 1-5000 



+ 1-5000 



+1-5000 



+1-5000 



+ 1-5000 



2... 







+0-62500 



+ 1-2500 



+ 1-8750 



+2-5000 



3... 



-0-87500 



-0-60156 



+0-21875 



+ 1-5859 



+3-5000 



4... 







-0-72070 



-0-70313 



+0-79102 



+4-5000 



5... 



+0-68750 



+0-14231 



-081641 



-0-15845 



+55000 





Table of ( 2yi + 1 VP» / _ (2yi + 1) p 



?i. 



0=0. 



0=£. 



0=i 



P=|. 



0=1. 



-1-5000 



1... 







-0-37500 



-0-75000 



-1-1250 



2... 



+2-5000 



+2-1875 



+ 1-2500 



-0-31250 



-2-5000 



3... 







+2-2012 



+31719 



+ 1-6816 



-3-5000 



4... 



-3-3750 



-1-5996 



+2-2500 



+3-7441 



-4-5000 



5... 







-3-7014 



-1-3965 



+4-4614 



-5-5000 



When a is negative, - — -, — , .> - changes sign it w is 



^ ° //(// + 1) ° ° 



even, and <j - — 7—77^ (2tt+l)-r„> changes sign if n 



is odd. Y and - — . and their moduli, can now be 



r 



calculated by means of equations (1) and (2). [Table, p. 468.] 



The values of Y and - - when 77 = 2 were also found, 



r 



but less accurately than in the table. 



In fig. 2 the quantity P = 100 j 1 — =- 2 is plotted against 6. 



Ii and I 2 are the intensities of the vertical and horizontal 

 components respectively, and are given by 



(modY) 2 and (mod- — \ . 



2 H2 



