404 



MR. .1. C. MAXWELL GARNETT ON 



We shall henceforward find it convenient to use n and K to denote the constants of 

 the medium containing the spheres. The constants of the metal itself will therefore 

 be denoted by n l and /q, and it will appear, as is a priori evident, that the latter are 

 the values of n and K when //. = 1. Since therefore e = {n(l t*)} 3 , equation (1(5) 

 gives us on substituting from (12') 



-d-O-l-I*. 1-tf^^y . . . (17), 

 from which, by equating real and imaginary parts, 



'=7T r^T, H3H ( 18 )' 



H 2/e 



|\_ 2 _ 3(1 



whence 



(1 _ 



(19); 



The following table gives the values of a and /8 as found by means of formula (13') 

 from the constants n and K of the solid metal as given by DBUJJE (loc. cit.) : 



TABLE TIL 



In order to determine the values of /i and K for various values of p., the numerical 

 values of the functions f, 17, , where 



i 



(21) 



