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where the
potential function
P
l
(
ε
) is defined by
P
l
(
ε
)=2(2
l
+1)
p
l
(
ε
)=2(2
l
+1)
D
l
(
ε
)+
l
+1
.
(1
.
3
.
10)
D
l
(
ε
)
−
l
The linear homogeneous equations (1.3.10) have solutions for the eigen-
vectors
a
j
k
lm
only for those values of
k
and
ε
for which
det
P
l
(
ε
)
δ
l
l
δ
m
m
−S
l
m
,lm
=0
.
k
(1
.
3
.
11)
Fig. 1.6.
The canonical bands for the fcc structure. The band structure
in the metal may be obtained by placing, scaling, and distorting the
canonical bands according to the values of the corresponding potential
parameters
C
nl
,
µ
nl
,and
γ
nl
, and finally hybridizing them. The extent of
the bands, according to the Wigner-Seitz rule, is indicated on the right.
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