A long-standing misinterpretation of the origin of the conduction band in sodium chloride is corrected. We show that this band is primarily derived from chlorine states, and not from sodium states as is generally believed. The anion character of the conduction band holds for the other alkali halides as well. The reinterpretation of this band clarifies why the size of the band gap in these insulators does not depend on the alkali metal in a first-order approximation.

1.
J. C.
Slater
and
W.
Shockley
, “
Optical absorption by the alkali halides
,”
Phys. Rev.
50
,
705
719
(
1936
).
2.
Frederick Seitz, The Modern Theory of Solids (McGraw–Hill, New York, 1940), pp. 441–447.
3.
Walter A. Harrison, Electronic Structure and the Properties of Solids (Dover, New York, 1989), p. 320.
4.
A. M. Stoneham, Theory of Defects in Solids (Clarendon, Oxford, 1975), p. 31.
5.
Joseph Callaway, Quantum Theory of the Solid State (Academic, San Diego, 1991), 2nd ed., Chap. 1.
6.
W. Y.
Ching
,
F.
Gan
, and
M.-Z.
Huang
, “
Band theory of linear and nonlinear susceptibilities of some binary ionic insulators
,”
Phys. Rev. B
52
(
3
),
1596
1611
(
1995
), and references therein.
7.
H.
van Leuken
,
A.
Lodder
,
M. T.
Czyzyk
,
F.
Springelkamp
, and
R. A.
de Groot
, “
Ab initio electronic structure calculations on the Nb/Zr multilayer system
,”
Phys. Rev. B
41
(
9
),
5613
5626
(
1990
).
8.
P. K.
de Boer
and
R. A.
de Groot
, “
Conduction bands and invariant energy gaps in alkali bromides
,”
Eur. Phys. J. B
4
(
1
),
25
28
(
1998
). The calculations of the band structures of the alkali bromides were performed in a completely similar way to those for the band structure of sodium chloride, discussed here.
9.
R.
Hott
, “
GW-approximation energies and Hartree–Fock bands of semiconductors
,”
Phys. Rev. B
44
(
3
),
1057
1065
(
1991
).
10.
D. J.
Arent
, “
Band offsets for strained InxGa1−xAs/AlyGa1−yAs heterointerfaces
,”
Phys. Rev. B
41
(
14
),
9843
9849
(
1990
).
11.
R. T.
Poole
,
J.
Liesegang
,
R. C. G.
Leckey
, and
J. G.
Jenkin
, “
Electronic band structure of the alkali halides. I. Experimental parameters
,”
Phys. Rev. B
11
(
12
),
5179
5189
(
1975
).
12.
The weak dependence on the cation is due to the size of the cation which affects the lattice parameter and therefore also the width of bands, and to the slight hybridization of the anion states in the conduction band with cation s states at higher energies—and for K, Rb, and Cs with cation d states as well. 
This content is only available via PDF.
AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.