1. Introduction
Rather than provide a comprehensive review of the literature, the aim of this article is to outline the key structural features of hydroxyperovskites with a view to their potential as functional materials in the hope that it will stimulate more research on this understudied yet fascinating group. Hydroxyperovskites are ReO3-type frameworks of corner-linked octahedra in which all oxygen atoms form hydroxyl groups. Unlike perovskites sensu stricto, the cavity A site is vacant. This feature combined with extensive hydrogen-bonded linkages between octahedra leads to highly tilted octahedra.
There are two distinct groups that are defined by the occupancy of cation sites: (i)
B(OH)
3 in which a trivalent cation occupies the
B site; (ii) in which there is an alternation of
B and
B′ sites with
B = monovalent or divalent cations and
B′ = tetravalent or pentavalent cations.
Figure 1 shows the structure of MgSi(OH)
6 in which MgO
6 and SiO
6 octahedra alternate, and all oxygen atoms are protonated. Fifteen naturally occurring hydroxyperovskites are known, and several synthetic hydroxyperovskites have been prepared. These are summarized in
Table 1.
Synthetic
BB′(OH)
6 stannate hydroxyperovskites can been prepared easily using the following reaction, where
X is the divalent cation: K
2SnO
3.3H
2O +
XCl
2 → XSn(OH)6+ 2 KCl. Potassium chloride is removed by repeated washing (e.g., eight times) with an alkaline aqueous solution of 40 wt.% KOH. An analogous reaction can be written for Na
2SnO
3.3H
2O as a reagent, which has also been used. No synthesis method has yet been found for germanates. Deuterated hydroxyperovskites have been prepared using 98% D
2O as the solvent and KOD (in D
2O) as the washing agent. The original synthesis method is described by [
3].
3. Hydrogen Bonding Topologies
When high-quality crystals are available, it is possible not only to locate and refine H positions but also to identify partially occupied H sites by single crystal X-ray diffraction [
5,
6,
7]. The few hydroxyperovskite structures that have been determined by neutron diffraction [
8,
9] confirm the existence of H sites with half occupancy.
An important effect to take into account when refining cubic and tetragonal hydroxyperovskites is merohedral twinning, as it is almost always present to a greater or lesser degree in cubic and tetragonal structures, particularly in the former. The presence of merohedral twinning in hydroxyperovskites is easily detected in difference-Fourier maps as “split” oxygen positions.
The realization that some weak peaks of unmodelled electron density in differenceFourier maps, typically with values of 0.4–0.90 electrons, correspond to partially occupied H sites is an important step towards understanding the crystal chemistry of hydroxyperovskites. The framework topologies of hydroxyperovskites have obvious sites for the formation of hydrogen bonded O-H····O bridges, as shown in
Figure 2 for In(OH)
3. Hence, it is relatively easy to recognize plausible H sites in difference-Fourier (
Fobs–
Fcalc) maps and attempt to refine their positions. An example of SHELX [
10] output from the difference Fourier map, shown as a “Q-peak” list, for a H-free model of FeGe(OH)
6 is shown in
Table 2, with full and half-occupied H sites highlighted. All five H sites of the
P4
2/
n structure appear in the first difference-Fourier map after eight cycles of least squares refinement. In
Table 2, peak Q1 has a residual of 0.90 electrons, and peaks Q2, Q3, Q4, and Q6 have values ranging from 0.46 to 0.56 electrons. Distances of these peaks from the nearest atoms (all oxygen) are 0.77–0.88 Å and are consistent with O-H bond lengths determined by X-ray diffraction, which are typically shorter than the “true” values found by neutron diffraction. Note that peak Q5 is 1.35 Å from the nearest oxygen and, therefore, is unlikely to be an H site. Other Q peaks in the list are either too distant from or too near to oxygen atoms and/or have low intensities. The provisional assignment of half and full occupancies for the H sites in FeGe(OH)
6 from the refinement of SCXRD data has been confirmed recently by single-crystal neutron diffraction, for which refined occupancies were found to be 1.00 ± 0.02 and 0.50 ± 0.03, in complete agreement with those inferred from SCXRD. For refinements using X-ray data, the occupancies of full- and half-occupied H sites are fixed at 1.0 and 0.5, respectively. These constraints usually allow for the stable refinement of H positions and an overall atom displacement parameter, applying a soft restraint on O-H bond length, e.g., 0.85 ± 0.03 Å.
When considering the hydrogen bonding configurations of hydroxyperovskites, it is instructive to recognize the different connectivities of O-H····O bridges between octahedra. Three topologically distinct components have been found so far that arise from different tilt systems. These are illustrated in
Figure 3 and comprise (i) isolated four-membered rings (squares), (ii) “crankshafts”, and (iii) chains. Structures with three in-phase tilts (not necessarily equal) + + + have only four-membered rings; those with one reverse tilt, and two in-phase tilts (+ + −) have isolated rings and crankshafts; those with one in-phase, and two reverse tilts (+ − −) lack isolated rings but have chains and crankshafts.
Hydrogen bonding topology has been shown to correlate with physical properties and structural behavior. For example, anisotropic compressional behavior has been correlated with the density and type of hydrogen-bonded linkages along different crystallographic directions. For example, in the case of FeGe(OH)
6 (tetragonal) had axial moduli
Ka = 81 GPa and
Kc = 73 GPa, and that the lower compressibility parallel to the
a-axis correlated with the orientation of the O-H····O crankshafts parallel to this axis [
11]. In contrast, there is no O-H····O connectivity parallel to the
c-axis, which may lead to less structural resistance to compression. The arrangement of crankshafts and isolated squares in FeGe(OH)
6 is shown in
Figure 4.
4. Ordered Structures, Substructures and Disordered Structures
Problems associated with strong pseudosymmetry, and the assignment of wrong space groups are well-known in the determination of perovskite structures. The same is true of hydroxyperovskites, for which a choice between centrosymmetric and non-centrosymmetric space groups is a recurrent challenge. Here, we distinguish between (i) “H-ordered” phases, for which structure refinement indicates fully occupied H sites; (ii) “substructures”, for which refinements indicate some or all H sites are half-occupied; and (iii) “H-disordered” phases, for which structure refinement indicates have partially occupied H sites but not half-occupied H sites.
It is becoming evident that most published structures of hydroxyperovskites with half-occupied H sites are likely to correspond to substructures. The advent of a new generation of in-house high-flux X-ray sources combined with high-resolution, hybrid photon counting detectors has allowed the detection of weak reflections associated with the ordered structures, rather than substructures, of hydroxyperovskites. These detectors have enormous dynamic ranges (e.g., 10
9) that avoid saturation and allow longer counting times for the detection of weak reflections from the ordered structure. For example, using a combination of a high-flux microsource and a Dectris Eiger area detector, we discovered that stottite, FeGe(OH)
6, has an ordered structure with space group
P4
3 and a doubled
c dimension, relative to the previously recognized
P4
2/
n structure. The reconstructed
hk0 and
h0
l X-ray diffraction patterns of FeGe(OH)
6 are shown in
Figure 5. Numerous weak violators of the
n-glide of
P4
2/
n are evident in the
hk0 pattern, and the
h0
l pattern has many reflections corresponding to doubling of the
c unit cell axis. The
P4
3 structure of FeGe(OH)
6 derived from the X-ray data is shown in
Figure 6; all H sites are fully occupied. All previous refinements of its structure were in space group
P4
2/
n (on a 7.550 Å × 7.550 Å × 7.466 Å cell) with four of the five non-equivalent H sites being half-occupied (the ring site is fully occupied). This result suggests that the origin of the half-occupied H sites in FeGe(OH)
6 is due to the refinement of a substructure (
P4
2/
n).
To date, there are only three hydroxyperovskites for which the refined structures have fully occupied H sites: FeGe(OH)
6, tetragonal space group
P4
3 with a doubled unit cell (see above); synthetic d-Al(OH)
3, orthorhombic space group
P2
12
12
1 [
12]; synthetic MgSi(OH)
6, monoclinic space group
P2
1 [
7,
13]. The structures of d-Al(OH)
3 and MgSi(OH)
6 are shown in
Figure 7 and are clearly related. The alternation of Mg and Si octahedra results in the loss of two sets of screw axes relative to d-Al(OH)
3 to give a non-centrosymmetric monoclinic (but metrically orthorhombic) structure for MgSi(OH)
6. The hydrogen bonding topologies of these two structures are, nonetheless, analogous, and both involve the same combination of O-H····O chains and crankshafts. The possible significance of the
P2
1 structure topology is discussed below in the section on functionality.
The structure of CuSn(OH)
6 has long been debated [
14,
15,
16]. The original description [
14] reported that the mineral is tetragonal with space group
P4
2/
nnm. This space group implies the significant distortion of Cu(OH)
6 and Sn(OH)
6 octahedra due to the presence of mirror planes, which bisect them.
In the absence of definitive single-crystal studies due to the extreme scarcity of natural material (the mineral mushistonite), it has been necessary to resort to using the synthetic analogue e.g., [
15,
16]. The synthetic products are invariably very fine-grained (1–2 mm) and, as such, are unsuitable for structure determination using in-house single crystal equipment, other than synchrotron radiation. This hydroxyperovskite had been assigned space group
P4
2/
n with tilt system
a+a+c−, and its structure evaluated using Rietveld refinement of X-ray powder data in this space group [
15]. Recently, a revised structure for CuSn(OH)
6 has been reported [
16] based upon Rietveld refinement of X-ray and neutron powder diffraction patterns for synthetic CuSn(OD)
6 powder with all H replaced by D. The revised structure is orthorhombic with centrosymmetric space group
Pnnn and tilt system
a+b+c+. This structure has only isolated four-membered O-H····O rings, as expected for a +++ tilt system (see above). It has nine non-equivalent H sites, all of which were modelled as having partial occupancies of 0.2, 0.3, 0.4, or 0.5 (refined and then fixed at these values for stable refinement); two of the three oxygen atoms are bonded to three partially occupied H sites, summing to 0.7 H atom in both cases. This array of partially occupied H sites was interpreted as evidence of proton disorder [
16].
An alternative possibility is that the Pnnn structure with partially occupied H sites may be a substructure. An ordered structure having space group Pnn2, which has the same a+b+c+ tilt system as Pnnn, may be an alternative structure with fully occupied H sites. A structure with space group Pnn2 is non-centrosymmetric and polar (point group mm2) and would, like MgSi(OH)6 (space group P21), be of potential interest as a ferroelectric.
Given the existence of the
P4
3 structure of FeGe(OH)
6, we suggest that all structures with partial, and especially half-occupied, H sites be tested against possible ordered structures. If it can be shown that no ordered candidates are consistent with the diffraction data, then there is a good basis for considering proton disorder. As far as we are aware, the
Pnnn structure for CuSn(OH)
6 [
16] is the only one that has partially occupied sites that are not half-occupied. In this regard, it may be a genuinely H-disordered phase. Determining the correct space group of the ordered structures of hydroxyperovskites is of fundamental importance if, as we suggest, substructures with half-occupied H sites may in reality be non-centrosymmetric and the reported centrosymmetry due to refining a substructure.
5. Novel H-Deficient Hydroxyperovskites: Fe3+SnO6H5 and Fe3+GeO6H5
Natural hydroxyperovskites with less than six H per formula unit have been recognized [
1,
17]. Synthetic Fe
3+SnO(OH)
5 has also been reported [
1]. The H deficiency arises from the oxidation of Fe
2+ to Fe
3+ with charge balance being achieved by the loss of a proton.
The original description of the structure of jeanbandyite (cubic,
Pn) [
18] proposed the chemical formula (Fe
3+1-x, ⎕
x)(Sn
1-y, ⎕
y)(OH)
6 (⎕ = vacancy). The presence of vacancies in the original study was subsequently shown to be incorrect [
1], and a revised formula was proposed Fe
3+SnO(OH)
5. However, this revised formula implies that one in six oxygen atoms is not bonded to H. This is an unlikely scenario, as such an oxygen would be very under-bonded, e.g., a bond valence sum of ~1.13 valence units (
vu). There are four formula units in the unit cell of jeanbandyite and, therefore, 24 oxygen atoms. The chemical formula Fe
3+SnO(OH)
5 implies that four of these oxygens in the unit cell will not be bonded to H.
Recently, a new natural H-deficient hydroxyperovskite Nancy-rossite has been reported [
17] with chemical formula Fe
3+GeO
6H
5. This formula was proposed, in preference to Fe
3+GeO(OH)
5, because it avoids the “missing” hydroxyl and recognizes the possibility of novel H behavior. For example, these structures may have dynamic H disorders over all hydroxyl-like H sites. Diffraction methods see only a “static” time-averaged structure that does not allow for the recognition of dynamic behavior.
Figure 8 shows the Raman spectra in the O-H stretching region for Fe
3+SnO
6H
5, Fe
3+GeO
6H
5, and FeGe(OH)
6 [
17]. The similarity of the spectra of the two H-deficient species, both having two very broad barely resolved bands, contrasts with the well-resolved bands of the FeGe(OH)
6 spectrum. The width of these two bands is far greater than those of the bands of FeGe(OH)
6. Furthermore, the five resolved O-H bands of FeGe(OH)
6 lie within an envelope defined by the Fe
3+GeO
6H
5 spectrum. The significance of the spectra of Fe
3+SnO
6H
5 and Fe
3+GeO
6H
5 remains to be determined. One possibility is that the broad, relatively ill-defined O-H spectra of Fe
3+SnO
6H
5 and Fe
3+GeO
6H
5 reflect a dynamically disordered arrangement of H with multiple H sites, possibly; such a scenario contrasts with that of the ordered “static” arrangement in FeGe(OH)
6, with well-defined H sites.
A further intriguing aspect of Fe
3+SnO
6H
5 and Fe
3+GeO
6H
5 is that they have anomalous optical properties relative to their symmetry. Fe
3+SnO
6H
5 is cubic but has uniaxial optics [
18]; Fe
3+GeO
6H
5 has tetragonal symmetry but is clearly optically biaxial, with an optic axial angle of 73° [
17]. Anomalous optical properties have also been reported for CaSn(OH)
6 [
19] and stottite [
20], and so the phenomenon may be characteristic of hydroxyperovskites more generally. The origin of anomalous optical properties in hydroxyperovskites has not been investigated in detail.
6. Thermal Studies of Hydroxyperovskites
Very few studies of the structural effects of temperature on hydroxyperovskites have been made, and with the one exception [
6], these only describe decomposition, which occurs at 480–530K and appears to be a stability limit for these structures at room pressure [
21]. While this is a much lower thermal limit than in perovskites, it is conceivable that the activation of proton conduction occurs below 500K.
Two examples of polymorphism are known: MnSn(OH)
6 and Ga(OH)
3. Both involve cubic (
Pn,
Im) and tetragonal (
P4
2/
n,
P4
2/
nmc) structures. Natural samples of MnSn(OH)
6 occur as wickmanite (
Pn) and tetrawickmanite (
P4
2/
n); the synthetic analogue of tetrawickmanite has not been reported. In the case of Ga(OH)
3, A thermal study of a natural crystal (the mineral söhngeite) using single-crystal X-ray diffraction [
6], observed a transformation on heating from a tetragonal (
P4
2/
n or
P4
2/
nmc) structure to cubic (
Im) at ~350K; the cubic phase is retained on cooling to 293K. This transformation involves a change in the tilt system (
a+a+c− →
a+a+a+) and, therefore, a major reconstruction of the hydrogen bonding configuration, with loss of O-H···O crankshafts. The framework octahedra of the two polymorphs are almost identical, and the transformation appears to be solely driven by H behavior.
7. Hydroxyperovskites at High Pressure
Experiments at high pressure can provide key information about the energetics of interactions between coordination polyhedra, as well as transformational behavior. A number of high-pressure studies of hydroxyperovskites have been made. Compared with perovskites with an occupied cavity site and bulk moduli of 200–250 GPa, hydroxyperovskites are relatively soft structures, with bulk moduli of 70–85 GPa; CaSn(OH)6 is exceptionally compressible (K0 = 35 GPa) and lies well away from the well-defined linear trend of bulk modulus versus ambient unit cell volume of other hydroxyperovskites. The origin of the anomalously high compressibility of CaSn(OH)6 is not known.
Hydroxyperovskites are stable to very high pressures (>20 GPa). The synthetic high-pressure hydroyperovskite MgSi(OH)
6 has been studied by Earth scientists, as it is considered to be important in the hosting and transport of crustal water into the Earth’s deep mantle at subduction zones [
22]. This phase is quenchable from high pressure (6−14 GPa) and temperature (673−823K). At room temperature, it is stable to at least 40 GPa [
23].
The high-
P behavior of synthetic CuSn(OH)
6 has been studied [
15] (reported as having space group
P4
2/
n) and (Cu
0.4Zn
0.6)Sn(OH)
6 (
Pn) to 25 GPa at 293 K using synchrotron powder XRD. They found that CuSn(OH)
6 was much more compressible (
K0 = 59.7 GPa) than (Cu
0.4Zn
0.6)Sn(OH)
6 (
K0 = 75.8 GPa). This difference is due to the high compressibility of CuSn(OH)
6 parallel to the
c-axis (
K0 = 38 GPa) compared to being parallel to the
a-axis (
K0 = 79 GPa), the latter being in line with values for most other hydroxyperovskites. The high compressibility parallel to the
c-axis is attributed to the long Cu-O bond of the octahedron being sub-parallel (22°) to the axis. The lower compressibility of (Cu
0.4Zn
0.6)Sn(OH)
6 can be ascribed to the moderating effect of Zn upon the Jahn–Teller distortion of the Cu(OH)
6 octahedron that prevents a transition to a tetragonal structure, which would allow the distortion to be developed.