A conduction plane in the
crystal lattice structure of
β-alumina
(Na2O·nAl2O3,
see A misnomer in chemistry and materials science)
separates two blocks of close packed layers of
O2− ions. A block consists of a stack of
four layers of O2− ions. Inside a block a
selection of tetrahedral and octahedral interstices between
pairs of adjacent layers are occupied by
Al3+ ions. In the conduction layer
three-quarters of the O2− are missing,
leaving room for Na+ ions to reside and move.
β-alumina exists over a range of compositions. It is a
two-dimensional solid electrolyte, in which
conduction occurs via Na+ ions migrating
within the conduction layer, but not across the insulating,
spinel-structured blocks.
The following drawing shows the conduction plane in perpendicular
view. The close packed block layer of O2− ions
(light pink) represents the top layer of the block underneath
the conduction layer. In β-alumina, this layer is
superimposed by the close packed layer on top of the conduction
layer. The layer sequence is ABA: The two A layers sandwich the
conduction layer B, of which only a quarter of the sites are
occupied by O2− ions (dark pink).
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Three types of locations are typically distinguished in the conduction
layer: m, the
mid-oxygen site (vacant O2−
site); br, the
Beevers Ross site; and
abr, the
anti-Beevers-Ross site. The abr sites,
located between two O2− ions of opposite close
layers, are much smaller than the br and m sites.
Crystallographic data suggests that the Na+ ions
are most likely to be found on br and m sites. But
they must pass abr sites during migration and excess
Na+ ions may stay in stable abr
configurations.
Details of site occupation and ion movement depend on the
stoichiometry of a particular β-alumina material and
polymorphs thereof. For example, the modification
β′′-alumina exhibits a
non-symmetric
stacking geometry at the conduction plane, and therefore the site
geometry and coordination patterns deviate from those found in the
β-modification. Variation in stoichiometry and ion
substitution (doping) can lead to an even more complex mechanism
of ion conduction.
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References, Notes and Links
[1] |
Anthony R. West:
Solid State Chemistry And Its Applications,
John Wiley & Sons,
Chichester,
1984.
The section entitled β-Alumina (pages 467 to
474) provides an excellent introduction to structure and
properties of β- and β′′-alumina.
Text and drawing of this webpage are based on that section
and on selected research articles referenced below. Notice
that in the literature, instead of
m,
br, and
abr (used herein),
the notations mO, BR and a-BR
are used to represent a mid-oxygen, Beevers Ross and
anti-Beevers-Ross site, respectively.
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[2] |
J. R. Walker and C. R. A.
Catlow:
Structure and transport in
non-stoichiometric β Al2O3.
J. Phys. C: Solid State Phys.,
1982,
15
( 30),
6151.
doi:
10.1088/0022-3719/15/30/009.
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[3] |
P. Boolchand, K. C. Mishra,
M. Raukas, A. Ellens and P. C. Schmidt:
Occupancy and site distribution of
europium in barium magnesium aluminate by
151Eu Mössbauer spectroscopy.
Phys. Rev. B,
2002,
66,
134429.
doi:
10.1103/PhysRevB.66.134429,
pdf:
http://secs.ceas.uc.edu/~pboolcha/papers/2002/PRB_02_66_134429.pdf.
FIG. 1 therein shows the
three-dimensional crystal structure of
BaMgAl10O17, depicting blocks
and conduction layers with mO, BR and a-BR sites
for this compound with β-alumina structure.
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