MAGXETO-OPTIC PHENOMENA OF IRON, NICKEL, AND COBALT. 
123 
1 -j- ^ “ i {h “f“ ~~~ X — I 
~ *11 -j- ic t “1“ ic) j- A-j "11 ~ “f" (2 ““ ^’) I" At — 0, 
1 — X — t — x) \ A^e® — jl+a: — + A/e~® 
-|- il — X t (y^ — ^)1 “1“ (■ ^3 ® ^ — 0, 
L ~ X — t(^ ~~ x) j- A^e® — |l + £c — ^(| + a:)| A/e ® 
— ■[ 1 “ cy A ^ — '^)|’ -^3^'^ ~1“ 1 ^ ^ ^ (i ~i~ '^) I’ -^2 ^ ~~ 
AiV-9 
The last two equations give 
AjC® 
{1 + x) — t (I 4 x) {1 — x) — t{^ — x) 
A„e'^ AoT-'^’ 
(1 4" ^ (i ”t 3-') (1 — A i i\ — x) 
and substitution from these in the first leads to 
= i (say) 
,-9 
+ cc) — ^ (4 + t ^ \ {I — x) — t {^ — x 
= i 
whence, 
e -j (1 “h x) fi- t (-^ A a:) f- — e'^ "j (l — x^ -{■ t — x- 
1^1 + ct' — ^ (2 A x)|- {1 4" x 4* ^ (i A ■’')}” — {1 — Oj -\-1 (Jt — x)}“ 
A/c-« 
h-x-t{l- x) I- e-^ {1 + .r 4 ^ (f A x)}' -c^{l-x + t{l- x)}- 
Aof'#’ 
1 4- X 4- ^ (2 A «)| e~^{l X — t (t- A x)Y — c® (1 — x — t (h — 
|l — x 4- ^ — x)| + X — t {\ + ./-•)}- — c® (1 — X — (Q — x)}“~] 
Substituting’ from these in the sixth and eighth of the surface conditions, we get 
F X - Z 
where 
and 
X = (l-0(2-0 
Z — (1 + ^) (2 -|- ^) 
■j-'t' 
E X + Z 
l+x + ^(i + x)l — \ I — X -\- t — x 
e ^ ■\- x — t {^ -{■ x)\ — — X — t {h — X 
