Rationalization of the Substructures Derived from the Three Fluorite-Related [Li6(MVLi)N4] Polymorphs: An Analysis in Terms of the “Barnighausen Trees” and of the “Extended Zintl–Klemm Concept” - Inorganic 3D Structures - page 117

Table 9 Space gr ou p
pat h ways from F

Cas e 1 Cas e 2 Cas e 3 Cas e 4 Cas e 5

m 3 m to

Fm 3 mFm 3 mFm 3 mFm 3 mFm 3 m

P a 3. Transition from red

to black indicates doubling
of the unit cell

225 225 225 225 225

Fm 3 Pm 3 mPm 3 mPm 3 mPm 3 m

202 221 221 221 221

Pm 3 Fm 3 c Pm 3 Pm 3 Fm 3 m

20 0 226 20 0 200 225

Ia3 Fm3 Ia3 Fm3 Fm3

20 6 20 2 20 6 20 2 20 2

Pa3 Pa3 Pa3 Pa3 Pa3

205 205 205 205 205

Table 10 The full Barnighausen Tree for Case 3 above