The crystal structures
of three thermal polymorphs (I, II, and
III) for each isomer of
closo
-dicarbadodecaboranes
C
2
B
10
H
12
(
ortho
,
meta,
and
para
) have been determined by
combining synchrotron radiation X-ray powder diffraction and density
functional theory calculations. The structures are in agreement with
previous calorimetric and spectroscopic studies. The difference between
rotatory phases (plastic crystals) I and II lies in isotropic rotations
in the former and anisotropic rotations of the icosahedral clusters
in the latter. Phase I is the cubic close packing (
ccp
) of rotating
closo
-molecules C
2
B
10
H
12
in the space group
Fm
3̅.
Phase II is the
ccp
of rotating
closo
-molecules C
2
B
10
H
12
in the cubic
space group
Pa
3̅. The preferred rotational
axis in II varies with the isomer. The ordered phases III are orthorhombic
(
meta
) or monoclinic (
ortho
and
para
) deformations of the cubic unit cell of the disordered
phases I and II. The ordering in the phase III of the
ortho
-isomer carrying the biggest electrical dipole moment creates a twofold
superstructure
w.r.t.
the cubic unit cell. The thermal
polymorphism for C
2
B
10
H
12
and related
metal salts can be explained by division of the cohesive intercluster
interactions into two categories (i) dispersive cohesive interaction
with additional Coulombic components in the metal salts and (ii) anisotropic
local interaction resulting from nonuniform charge distribution around
icosahedral clusters. The local interactions are averaged out by thermally
activated cluster dynamics (rotations and rotational jumps) which
effectively increase the symmetry of the cluster. The C
2
B
10
H
12
molecules resist at least as well as
the CB
11
H
12
–
anion to the
oxidation, and both clusters form easily a mixed compound. This allows
designing solid electrolytes such as Na
x
(CB
11
H
12
)
x
(C
2
B
10
H
12
)
1
–
x
, where the cation content may be varied and the
temperature of transition into the disordered conducting phase is
decreased.