LiCoO
2
A R T I C L E S
2
material in a related synthesis, the final product, LiFeO , which
has a tetragonal lattice, shows a very different morphology for
the final twinned crystal, but again it is determined by the
symmetry relationships between the parent (FeO) and final
product (see Figure S5 in the SI). Although the use of seed
2
1
22
crystals (of Ag and Pt, for example) to template growth on
distinct crystal facets to control morphology has been reported
by others, the growth of cuboctahedrons is distinct from these
growth mechanisms, since the final morphology is determined
by the different symmetry of the template and the final product.
Figure 11. A schematic showing the fast growth on the edge of the LiCoO
plates, which results in the equivalent size of the four twin crystals and the
perfect overall cubic symmetry.
2
The formation of cuboctahedrons is not limited to LiCoO
and Fe, Mn and Ni-doped LiCoO concaved cuboctahedrons
have been observed when using Fe-, Mn-, and Ni-doped CoO/
Co(OH) as starting materials. The yields are lower, and more
2
the regular concaved cuboctahedron shape. An example of this
is shown in Figure 10b, where crystals that are heavily leached
but have not yet achieved a concaved cuboctahedron shape can
be seen. This sample was synthesized by using micrometer-
sized CoO particles as the cobalt source, the particles presum-
ably being too large to be completely converted to cuboctahe-
drons. Second, the parent CoO template crystals do not have to
adopt regular shapes as shown in Figure 10a, the CoO formed
2
2
careful optimization of the synthesis conditions is required for
each specific starting material combination (see Figure S4 in
the SI). The cuboctahedrons themselves are not the most ideal
morphology for a cathode material and do not lead to a high
rate electrode material. One reason for the poor rate performance
may be the pinning of the layers at one end of the crystal: this
means that the twinned particles may not be able to accom-
modate the significant changes in the interlayer spacings that
occur on cycling. We note, however, that the pinning of the
layers should help to prevent the shearing of the oxygen layers
by decomposition of an anisotropic material such as Co(OH)
for example, still leading to a perfectly symmetric cubocahedron.
This can be explained by the preferred fast growth of LiCoO
2
,
2
along [100], [010] and [110] directions and Oswald ripening:
Although the parent CoO crystal can be irregular in shape, once
it forms the prototype of the cuboctahedron, e.g., once it has
23-25
that occurs at high voltage.
We hope that an understanding
all four LiCoO
2
twin variants, no matter how different they are
the formation mechanisms of this kind of twinning and particle
assembly will be very helpful for designing future 3-D nano-
structures and mesostructures, as exemplified by the “desert
in size and shape, the four variants will grow along their own
[
(
100], [010], and [110] directions. If one of the 4 twin variant
plates) of LiCoO cuboctahedron, e.g., V2, as schematically
2
rose” LiCoO
2
morphology, which does show very good rate
drawn in Figure 11, is smaller than any of the other plate(s),
e.g., V1 (for clarity, the other two plates are not shown), then
at the region where the edge of the V2 plate contacts the V1
plate, as indicated by a black arrow in Figure 11 (left hand side),
a concaved shape or v-shape is formed. Addition of ions at this
intersection will be faster, as generally seen for growth at steps
in crystals, due to the availability of higher coordination number
sites on the surface, causing quick growth of a step away from
the intersection of the plates. Fast growth of other parts on the
edge of V2 will occur as the step moves out, away from the
twin boundary, as shown in Figure 11 (right). Meanwhile,
growth at the intersection of the two plates will continue, until
eventually V2 becomes the same size as V1. This effect applies
for any two of the plates. Thus, overall, the higher surface energy
areas at the intersections will vanish leading to four plates with
exactly the same size, as is consistently seen experimentally.
At least three factors appear to be important in the nucleation
of and growth of the cuboctahedrons. First, the ability of the
parent crystal, nanoparticulate CoO to undergo ion-exchange
performance.
Conclusions
A unique morphology for LiCoO
cuboctahedrons has been observed and its formation has been
rationalized in terms of an oxidation-ion-exchange and isotropic
growth mechanism. Near 100% yield was achieved by optimiz-
ing the starting materials and synthesis conditions according to
2
comprising of concaved
2
the proposed growth mechanism. The final product (LiCoO )
maintains its own symmetry (rhombohedral) with a twinned
assembly governed by the symmetry of the precursor (cubic).
The number of twins and their orientations can be determined
by an analysis of the space groups adopted by these two
morphologies and their supergroup, subgroup relationships. The
work not only describes a new topological reaction, but the
results also open up new strategies for designing novel morphol-
ogy of crystals by exploiting the differences in symmetry
between the precursor and the products. This suggests new
routes for tuning the morphology and symmetry of crystals by
systematic crystal engineering. Finally, the ability to grow
physically and electronically connected crystals may in the future
2
+
and oxidation of the Co to form seed nuclei of LiCoO
2
on
the CoO surface, and leaching of select faces to expose stable
3
+
3 4
surfaces. Co O , for example, which contains alternating Co
lead to strategies to improve rate, as shown earlier by the desert
rose form of LiCoO .
2
and Co2 (tetrahedral) and Co octahedral layers, does not form
an ideal template crystal because Li /Co exchange (in the
Co /Co layers) is very difficult, requiring Co mobility and
dissolution. Second, a c/a ratio of LiCoO that is close to that
+
3+
3
+
3+
2+
3+
3+
Acknowledgment. We thank James Quinn, George Hart, and
Dong Su for help with the electron microscopy data collection and
2
of a cubic material, along with the likely ability of this material
to accommodate slight variations in stoichiometry of the
Li CoO phase at the twin boundaries, allows 4 twins with
x 2
rhombohedral symmetry to grow, with minimal stress at the
interconnects of the 4 plates.
Finally, the symmetry of the parent crystal and the phase that
grow on it will control the nature of the morphology of the
final particle, and the number and types of twins formed. For
example, when nanometer sized FeO was used as starting
(
(
(
(
(
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