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Consider applying the simple electronic polarizability and Clasius-Mossotti equations to diamond.
Neglecting losses,
?
? ? e
e o
Ze
m
=
?
2
( 2 2 )
and ?
? ? ? ?
r
r o e o
NZe
m
?
+
=
?
1
2 3
2
( 2 2 )
Dispersion in diamond
For diamond we can take Z = 4 (valence electrons only as these are the most responsive),
N = 1.8 × 1029 atoms m-3, ?r(DC) = 5.7. Find ?o and then find the refractive index at ? = 0.5 ?m and
5 ?m.