Despite their crystallographic differences, the mechanisms of the
α-β phase transitions in the cristobalite phases of SiO
2 and AlPO
4 are very similar. The β→α transition in AlPO
4 cristobalite is from cubic (
$\left( {F\bar 43m} \right)$ ) to orthorhombic (
C222
1), whereas that in SiO
2 cristobalite is from cubic (
$\left( {Fd\bar 3m} \right)$ ) to tetragonal (
P4
32
12 or
P4
12
12). These crystallographic differences stem from the fact that there are two distinct cation positions in AlPO
4 cristobalite as opposed to one in SiO
2 cristobalite and the ordered (Al,P) distribution is retained through the phase transition. As a result, there are significant differences in their crystal structures, domain configurations resulting from the phase transition and Landau free energy expressions. A symmetry analysis of the “improper ferroelastic” transition from
$F\bar 43m \to C222_1$ in AlPO
4 cristobalite has been carried out based on the Landau formalism and the projection operator methods. The six-component order parameter,
η driving the phase transition transforms as the X
5 representation of
$F\bar 43m$ and corresponds to the simultaneous translation and rotation of the [AlO
4] and [PO
4] tetrahedra coupled along 110. The Landau free energy expression contains a third order invariant, the minimization of which requires a first-order transition, consistent with experimental results. The tetrahedral configurations of twelve
α phase domains resulting from the β→α transition in AlPO
4 cristobalite are of two types: (1) transformation twins from a loss of the 3-fold axis, and (2) antiphase domains from the loss of the translation vectors 1/2[101] and 1/2[011] (
F→
C). In contrast to α-SiO
2 cristobalite, the α-AlPO
4 cristobalite (
C222
1) does not have chiral elements (4
3, 4
1) and hence, enantiomorphous domains are absent. These transformation domains are essentially macroscopic and static in the α phase and microscopic and dynamic in the
β phase. The order parameter,
η couples with the strain components, which initiates the structural fluctuations causing the domain configurations to dynamically interchange in the
β phase. An analysis of the MAS NMR data (
29Si,
17O,
27Al) on the α
α-β transitions in SiO
2 and AlPO
4 cristobalites (Spearing et al. 1992, Phillips et al. 1993) essentially confirms the dynamical model proposed earlier for SiO
2 cristobalite (Hatch and Ghose 1991) and yields a detailed picture of the transition dynamics. In both cases, small atomic clusters with the configuration of the low temperature
α phase persist considerably above the transition temperature, T
0. The NMR data on the
β phases above T
0 cannot be explained by a softening of the tetrahedral rotational and translational modes alone, but require the onset of an order-disorder mechanism resulting in a dynamic averaging due to rapidly changing domain configurations considerably below T
0.
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