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sites (blue in Fig. 20b ). This makes sense because if we take the tetrahedron 31 [LiN 4 ]
¼ C
- 31 Ga, we obtain a pseudo-atom of the Group 13 (recall the bixbyite-type
structure of In 2 O 3 ). Similarly, if we replace Li by Na, we get 39 [NaN 4 ]
- 39 Y.
¼ C
4.3 Substructures in Space Group Fm
3
Table 14 shows the Barnighausen Tree for Case 4 above. As can be seen, there
are two b ra nches, only one of which leads to the lattice sites of b -Li 7 VN 4 in space
group
a 3.
However, a search of the database in space group
P
m 3 reveals that for all the
structures reported, the sites 4 a and 4 b are occupied, implying the complete absence
of substructures of b -Li 7 VN 4 in this space group.
F
5 The Alpha Phase of Li 7 V V N 4
This polymorph, first identified by Niewa et al. [ 6 ], is tetragonal ( a
¼
6.757, c
¼
4.882
˚ ,V
222.92 ˚ 3 ,S.G.
arnighausen
Tree” relating its space group to that of the anti-fluorite-type parent, Li 2 O. We show this
relationship again in Table 15 , although presented somewhat differently.
¼
P
4 2 / nmc ), and these same authors derived the “B
5.1 Li 6 MoN 4 ,Li 6 WN 4 ,Li 6 ZnO 4 and Li 6 CoO 4
Other very similar compounds to
-Li 7 VN 4 have been reported in the same space
group. These are Li 6 MoN 4 [ 50 ] with a
a
219.3 ˚ 3 and
Li 6 WN 4 [ 51 ] of very similar dimensions: clearly, these compounds are Li-deficient,
anti-fluorite-type superstructures. We note, however, that Li 7 NbN 4 and Li 6 MoN 4
are isoelectronic, as are Li 7 TaN 4 and Li 6 WN 4 . Moreover, early work by Juza et al .
[ 52 ] suggested the probable existence of the compound Li 6 CrN 4 , which would be
isoelectronic with Li 7 VN 4 .
Li 7 VN 4 is then simply a Li-stuffed Li 6 CrN 4 structure. In terms of the EZKC , one
Li atom donates one electron to V to give C -Cr, resulting in the compound Li 6
(
4.925 ˚ , V
¼
6.673, c
¼
¼
-Cr)N 4 . In the same way, if we take our parent compound as Li 7 NbN 4 and have
one Li atom donate an electron to the Nb atom, the result is a skeleton of the type
C
C
-Li 7 VN 4 and Li 6 MoN 4 , and
Fig. 21a, b shows their structures near the [001] projection.
There are also oxide analogues of these nitrides, Li 6 ZnO 4 and Li 6 CoO 4 , first
studied by Hoppe et al . [ 53 , 54 ] .
-[Li 6 MoN 4 ]. Table 16 lists the atom sites of
a
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