Dioskouriite, CaCu 4 Cl 6 (OH) 4 · 4H 2 O: A New Mineral Description, Crystal Chemistry and Polytypism

: A new mineral, dioskouriite, CaCu 4 Cl 6 (OH) 4 · 4H 2 O, represented by two polytypes, monoclinic (2 M ) and orthorhombic (2 O ), which occur together, was found in moderately hot zones of two active fumaroles, Glavnaya Tenoritovaya and Arsenatnaya, at the Second scoria cone of the Northern Breakthrough of the Great Tolbachik Fissure Eruption, Tolbachik volcano, Kamchatka, Russia. Dioskouriite seems to be a product of the interactions involving high-temperature sublimate minerals, fumarolic difference between the 2 M and 2 O polytypes arises as a result of different stacking of layers along the c axis. The cation array of the layer corresponds to the capped kagom é lattice that is also observed in several other natural Cu hydroxychlorides: atacamite, clinoatacamite, bobkingite and avdoninite. The mineral is named after Dioskouri, the famous inseparable twin brothers of ancient Greek mythology, Castor and Polydeuces, the same in face but different in exercises and achievements; the name is given in allusion to the existence of two polytypes that are indistinguishable in appearance but different in symmetry, unit cell conﬁguration and XRD pattern.

Dioskouriite is crystallized as two polytypes, monoclinic and orthorhombic, which occur together. This feature determined the choice of its name: dioskouriite (Cyrillic: диoскурит), named after Dioskouri, the famous inseparable twin brothers of Greek mythology (in Greek, ∆ιóσκoυ oι, which means ∆ιóς Koύ oι, Dias or Zeus' sons), Castor and Polydeuces, the same in face but different in exercises and achievements. This alludes to the existence of two polytypes that are indistinguishable in appearance but different in symmetry, unit cell parameters and X-ray diffraction pattern in the same sample.
The new mineral, its species name dioskouriite and the names of both its polytypes, dioskouriite-2M for monoclinic and dioskouriite-2O for orthorhombic one, were approved by the IMA Commission on New Minerals, Nomenclature and Classification (IMA no. 2015-106). The names of dioskouriite polytypes are given in accord with the nomenclature of polytypes, polytypoids and polymorphs [16]. The type specimen of dioskouriite is deposited in the systematic collection of the Fersman Mineralogical Museum of the Russian Academy of Sciences, Moscow, Russia, with the catalog number 95282.

Occurrence and Mineral Associations
Dioskouriite was found in upper, moderately hot zones of two active fumaroles, Glavnaya Tenoritovaya (Major Tenorite) (holotype) and Arsenatnaya (cotype) situated at the Second scoria cone of the Northern Breakthrough of the Great Tolbachik Fissure Eruption 1975-1976, Tolbachik volcano, Kamchatka Peninsula, Far-Eastern Region, Russia (55 • 41 N 160 • 14 E, 1200 m asl). Specimens with the new mineral were collected by us in July 2014.
The Second scoria cone is a monogenetic volcano about 300 m high and 0.1 km 3 in volume formed in 1975. It is located 18 km SSW of the active volcano Ploskiy Tolbachik [17]. Both above-mentioned fumaroles occur at its summit. The Glavnaya Tenoritovaya fumarole is described in [11] and the Arsenatnaya fumarole in [18].
The temperatures we measured using a chromel-alumel thermocouple in areas where the new mineral was found during its collection were 100-120 • C. Dioskouriite was probably formed not as a result of direct crystallization from a gaseous phase but as a product of the interactions involving earlier-formed high-temperature sublimate Cu-and Ca-bearing minerals, HCl-containing fumarolic gas and atmospheric components (at first, water vapor) at relatively low temperatures, presumably not higher than 120-150 • C.

Methods
The density of dioskouriite was measured by flotation in heavy liquids (bromoform + dimethylformamide) for the sample with the predominance of the 2O polytype.
The Raman spectrum of dioskouriite (sample with a mixture of both polytypes) was obtained using an EnSpectr R532 spectrophotometer (Department of Mineralogy, Moscow State University) with a green laser (532 nm) at room temperature. The output power of the laser beam on the sample was about 4 mW. The spectrum was processed in the range from 100 to 4000 cm −1 with the use of a holographic diffraction grating with 1800 mm −1 and a resolution equal to 6 cm −1 . The diameter of the focal spot on the sample was about 15 µm with 40x objective. The spectrum was acquired on a polycrystalline sample.
Scanning electron microscopic (SEM) studies in secondary electron (SE) mode were carried out and chemical composition was determined for all studied samples using a Jeol JSM-6480LV scanning electron microscope equipped with an INCA-Wave 500 wavelengthdispersive spectrometer (Laboratory of Analytical Techniques of High Spatial Resolution, Department of Petrology, Moscow State University), with an acceleration voltage of 20 kV, a beam current of 20 nA and a 5-µm beam diameter. H 2 O was not analyzed because of the paucity of pure material.
Powder X-ray diffraction (XRD) data were collected using a Rigaku RAXIS Rapid II (X-ray Diffraction Resource Center, St. Petersburg State University, St. Petersburg, Russia) diffractometer with a curved image plate detector and a rotating anode with VariMAX microfocus optics, using CoKα radiation, in Debye-Scherrer geometry, at an accelerating voltage of 40 kV, a current of 15 mA and an exposure time 15 min. The distance between the sample and the detector was 127.4 mm. The data were processed using osc2xrd software [19]. Due to the low stability of dioskouriite in moist air and its solubility in water (see below, Section 4.4), we (1) preserved the specimens by hermetic sealing and (2) prepared polished samples for electron microprobe studies using purified kerosene, without water.

General Appearance and Physical Properties
In both fumaroles, dioskouriite occurs as well-shaped or crude crystals up to 0.01 mm × 0.04 mm × 0.1 mm in size. The crystals are tabular to lamellar, sometimes pseudohexagonal, or flattened prismatic, with domatic terminations that are typically sword-like ( Figure 1). The crystals are combined in groups or crusts (Figures 1 and 2) up to 1 × 2 mm 2 in area and up to 0.05 mm thick, overgrowing basalt scoria or incrustations of earlier sublimate minerals covering the surface of basalt scoria. Due to the low stability of dioskouriite in moist air and its solubility in water (see below, Section 4.4), we (1) preserved the specimens by hermetic sealing and (2) prepared polished samples for electron microprobe studies using purified kerosene, without water.

General Appearance and Physical Properties
In both fumaroles, dioskouriite occurs as well-shaped or crude crystals up to 0.01 mm × 0.04 mm × 0.1 mm in size. The crystals are tabular to lamellar, sometimes pseudohexagonal, or flattened prismatic, with domatic terminations that are typically sword-like (Figure 1). The crystals are combined in groups or crusts (Figures 1 and 2) up to 1 × 2 mm 2 in area and up to 0.05 mm thick, overgrowing basalt scoria or incrustations of earlier sublimate minerals covering the surface of basalt scoria.  Both single-crystal and powder XRD data show that the crystals of dioskouriite in both fumaroles are, in fact, parallel, syntactic intergrowths of two polytypes, 2M and 2O, in different proportions, which display considerable variations from grain to grain. In order to study each polytype, we tried to separate samples with the maximum contents of the 2M or 2O modification using XRD techniques.
Dioskouriite is transparent, bright green with light green streaks and has a vitreous luster. The mineral is brittle, with uneven fractures. One direction of distinct cleavage (assumed, based on the structure data (see below), as (001) and one direction of imperfect cleavage were observed under the microscope. The Mohs hardness is ca. 3. The measured density is 2.75(1) g cm −3 . Density calculated using the empirical formulae was 2.820 g cm −3 for dioskouriite-2M and 2.765 g cm −3 for dioskouriite-2O. Both single-crystal and powder XRD data show that the crystals of dioskouriite in both fumaroles are, in fact, parallel, syntactic intergrowths of two polytypes, 2M and 2O, in different proportions, which display considerable variations from grain to grain. In order to study each polytype, we tried to separate samples with the maximum contents of the 2M or 2O modification using XRD techniques.
Dioskouriite is transparent, bright green with light green streaks and has a vitreous luster. The mineral is brittle, with uneven fractures. One direction of distinct cleavage (assumed, based on the structure data (see below), as (001) and one direction of imperfect cleavage were observed under the microscope. The Mohs hardness is ca. 3. The measured density is 2.75(1) g cm −3 . Density calculated using the empirical formulae was 2.820 g cm −3 for dioskouriite-2M and 2.765 g cm −3 for dioskouriite-2O.

Raman Spectroscopy
The Raman spectrum of dioskouriite is shown in Figure 3. Bands in the range from 3600 to 3200 cm −1 correspond to O−H stretching vibrations. We assigned the strong band with a maximum at 3460 cm −1 to vibrations of hydroxyl groups, whereas its distinct lowfrequency shoulder with a maximum at 3380 cm −1 was assigned to vibrations of H2O mol-

Raman Spectroscopy
The Raman spectrum of dioskouriite is shown in Figure 3. Bands in the range from 3600 to 3200 cm −1 correspond to O−H stretching vibrations. We assigned the strong band with a maximum at 3460 cm −1 to vibrations of hydroxyl groups, whereas its distinct low-frequency shoulder with a maximum at 3380 cm

Chemical Data
The chemical composition of both polytypes of dioskouriite is given in Table 1. Contents of other elements with atomic numbers higher than carbon are below detection limits. Dioskouriite readily dissolves in H2O at room temperature. It is unstable under room conditions and completely alters to a light blue earthy aggregate of Cu 2+ and Ca chlorides and carbonates for several months or even days, depending on the air moisture.

Chemical Data
The chemical composition of both polytypes of dioskouriite is given in Table 1. Contents of other elements with atomic numbers higher than carbon are below detection limits. Dioskouriite readily dissolves in H 2 O at room temperature. It is unstable under room conditions and completely alters to a light blue earthy aggregate of Cu 2+ and Ca chlorides and carbonates for several months or even days, depending on the air moisture.

X-ray Crystallography and Crystal Structure
Powder XRD data of both polytypes of dioskouriite are given in Table 2  The structures of both polytypes of dioskouriite were studied using single crystals. The crystal structures were solved by direct methods and refined to R 1 = 0.1039 for 1805 independent reflections with I > 2σ(I) (dioskouriite-2M) and to R 1 = 0.0881 for 1478 independent reflections with I > 2σ(I) (dioskouriite-2O). The crystal structure refinement revealed the presence of "ghost" electron density peaks in both structure models on the z levels, corresponding to the positions of Cu atoms (in 2O polytype) and of Cu, Cl and Ca atoms (in 2M polytypes). The existence of these peaks was interpreted as being induced by stacking faults, i.e., by the presence of domains of another polytype in the studied crystals, as frequently observed in layered mineral structures [20,21]. Crystal data, data collection information and structure refinement details are given in Table 3, atom coordinates and displacement parameters are in Table 4a,b and Table 5a,b, selected interatomic distances are in Table 6 and the bond valence calculations are in Tables 7 and 8.    Table 6. Selected interatomic distances (Å) in the structures of dioskouriite-2M and dioskouriite-2O.

Structure Description and Identification
Dioskouriite crystallizes as two polytypes, monoclinic and orthorhombic, with their unit cells differing from one another in the value of the β angle, which is about 100 • for the monoclinic polytype (Table 3). Their crystal structures are shown in Figures 4 and 5 in polyhedral and ball-and-stick presentations, respectively. The difference between these polytypes arises as a result of different layer stacking along the c axis ( Figure 5). The layers (see below) have identical structures and compositions in both polytypes and the mode of their interrelations is the same, which points out that in the case of dioskouriite, we observe a "classical" case of polytypism, similar to the numerous examples of layered minerals: micas, chlorites, hydrotalcite-group members, hilgardite, lamprophyllite, etc. Since both monoclinic and orthorhombic polytypes of the mineral contain two layers per unit cell, they are labeled as dioskouriite-2M and dioskouriite-2O, respectively.
There are four types of cation coordination observed in both polytypes, three for Cu 2+ and one for Ca (see Figure 6, where each type is identified with particular crystallographic sites in both structures). The Cu atoms have a mixed-ligand coordination consisting of O and Cl atoms, previously reviewed in [24].
The first type of Cu coordination is octahedral (Oct1) and is composed from four Cl and two O atoms. Two Cl and two O atoms are arranged to form a (CuO 2 Cl 2 ) square with trans-configuration of O and Cl, which is complemented by two additional Cl atoms as apices of a [(CuO 2 Cl 2 )Cl 2 ] octahedron. The octahedra are distorted due to the Jahn-Teller effect [25][26][27]. The distortion can be measured in terms of the difference between the <Cu−Cl eq > and <Cu−Cl ap > average bond lengths, ∆ ap-eq , where Cl eq and Cl ap are the equatorial and apical Cl atoms, respectively. The value of ∆ ap-eq varies from 0.171 to 0.467 Å and is at a minimum for the Cu2 atom in the 2M polytype. This type of Cu coordination, [6] = [(2O + 2Cl)-trans + 2Cl], is typical for mixed-ligand CuO n Cl m coordination polyhedra and has been observed in the crystal structures of avdoninite, K 2 Cu 5 Cl 8 (OH) 4 ·2H 2 O [9,28], melanothallite, Cu 2 OCl 2 [29], and eriochalcite, CuCl 2 ·2H 2 O [30].
(see below) have identical structures and compositions in both polytypes and the mode of their interrelations is the same, which points out that in the case of dioskouriite, we observe a "classical" case of polytypism, similar to the numerous examples of layered minerals: micas, chlorites, hydrotalcite-group members, hilgardite, lamprophyllite, etc. Since both monoclinic and orthorhombic polytypes of the mineral contain two layers per unit cell, they are labeled as dioskouriite-2M and dioskouriite-2O, respectively. There are four types of cation coordination observed in both polytypes, three for Cu 2+ and one for Ca (see Figure 6, where each type is identified with particular crystallographic sites in both structures). The Cu atoms have a mixed-ligand coordination consisting of O and Cl atoms, previously reviewed in [24].
The first type of Cu coordination is octahedral (Oct1) and is composed from four Cl and two O atoms. Two Cl and two O atoms are arranged to form a (CuO2Cl2) square with trans-configuration of O and Cl, which is complemented by two additional Cl atoms as apices of a [(CuO2Cl2)Cl2] octahedron. The octahedra are distorted due to the Jahn-Teller effect [25][26][27]. The distortion can be measured in terms of the difference between the <Cu−Cleq> and <Cu−Clap> average bond lengths, Δap-eq, where Cleq and Clap are the equatorial and apical Cl atoms, respectively. The value of Δap-eq varies from 0.171 to 0.467 Å and is at a minimum for the Cu2 atom in the 2M polytype. This type of Cu coordination, [6] = [(2O + 2Cl)-trans + 2Cl], is typical for mixed-ligand CuOnClm coordination polyhedra and has been observed in the crystal structures of avdoninite, K2Cu5Cl8(OH)4 . 2H2O [9,28], melanothallite, Cu2OCl2 [29], and eriochalcite, CuCl2 . 2H2O [30].
The third type of the Cu coordination is fivefold and can be described as distorted square pyramidal (SP). The base of the square pyramid is formed by two O and two Cl There is one symmetrically independent Ca site in both structures that has an eightfold coordination that can be described as follows. The oxygen atoms of OH groups and H2O molecules form a trigonal prism around Ca atoms with the Ca−O distances in the range from 2.377(13) to 2.492(12) Å (dioskouriite-2M) and from 2.403(17) to 2. 48(2) Å (dioskouriite-2O); two Cl anions with elongated Ca−Cl distances (2.957(5) and 3.222(5) Å (dioskouriite-2M); 2.964(7) and 3.248(8) Å (dioskouriite-2O)) complete the coordination polyhedron of Ca cation. The geometry of this coordination can therefore be described as bicapped trigonal prismatic (BTP), which is one of the three most common eightfold coordinations known in inorganic chemistry, along with dodecahedral and square antiprismatic coordinations [35].
The crystal structures of both polytypes are based upon complex layers of ca. 1-nm thickness. The layers are stacked along the c axis and can be considered as built up from the sheets of the two types, A and B, with the A sheet sandwiched between two B sheets, so the layers have the formula BAB.
The projections of the A and B sheets are shown in Figure 7.    The A sheet, which is at the core of the BAB layer, is constructed as follows. The Oct1 octahedra share their trans Cueq−Cuap edges to form chains running parallel to the a axis (Figure 7a). The chains are linked via Oct2 octahedra that share four of their Oeq−Clap edges with adjacent Oct1 octahedra so that sheets are formed. The B sheets contain isolated BTP and SP polyhedra (Figure 7b) that are attached to the A sheet via Cu−OH, Ca−OH, Cu−Cl and Ca−Cl bonds.
The linkage of the BAB layers is provided by the long Ca−Cl bonds oriented approximately perpendicular to the plane of the layers ( Figure 5).
The 2M and 2O polytypes of dioskouriite can be easily distinguished from one another using powder XRD data. The most reliable diagnostic sign is the presence of relatively strong reflections with d ≈ 5.4-5.5 Å in the powder XRD pattern of dioskouriite-2M (the −112 and 111 reflections with close d values that can appear as a singlet in the measured XRD diagram), which are absent in the XRD pattern of dioskouriite-2O (Table  2).
The high values of a crystallographic agreement factor R (10.39% for dioskouriite-2M and 8.81% for dioskouriite-2O) are due to the stacking faults, which reflect the occurrence of both polytypes in the same crystal. Analysis of residual electron density peaks in different Fourier syntheses indicated that the two strongest peaks for dioskouriite-2M (Table  4b) and the nine strongest peaks for dioskouriite-2O (Table 5b)   The third type of the Cu coordination is fivefold and can be described as distorted square pyramidal (SP). The base of the square pyramid is formed by two O and two Cl atoms in a cis-configuration with an additional Cl atom at the apex, [5] = [(2O + 2Cl)-cis + Cl]. The only other known example of such a CuO n Cl m configuration is avdoninite, K 2 Cu 5 Cl 8 (OH) 4 ·2H 2 O [9,28].
There is one symmetrically independent Ca site in both structures that has an eightfold coordination that can be described as follows. The oxygen atoms of OH groups and H 2 O molecules form a trigonal prism around Ca atoms with the Ca−O distances in the range from 2.377(13) to 2.492(12) Å (dioskouriite-2M) and from 2.403(17) to 2.48(2) Å (dioskouriite-2O); two Cl anions with elongated Ca−Cl distances (2.957(5) and 3.222(5) Å (dioskouriite-2M); 2.964(7) and 3.248(8) Å (dioskouriite-2O)) complete the coordination polyhedron of Ca cation. The geometry of this coordination can therefore be described as bicapped trigonal prismatic (BTP), which is one of the three most common eightfold coordinations known in inorganic chemistry, along with dodecahedral and square antiprismatic coordinations [35].
The crystal structures of both polytypes are based upon complex layers of ca. 1-nm thickness. The layers are stacked along the c axis and can be considered as built up from the sheets of the two types, A and B, with the A sheet sandwiched between two B sheets, so the layers have the formula BAB.
The projections of the A and B sheets are shown in Figure 7.  The A sheet, which is at the core of the BAB layer, is constructed as follows. The Oct1 octahedra share their trans Cueq−Cuap edges to form chains running parallel to the a axis (Figure 7a). The chains are linked via Oct2 octahedra that share four of their Oeq−Clap edges with adjacent Oct1 octahedra so that sheets are formed. The B sheets contain isolated BTP The A sheet, which is at the core of the BAB layer, is constructed as follows. The Oct1 octahedra share their trans Cu eq −Cu ap edges to form chains running parallel to the a axis ( Figure 7a). The chains are linked via Oct2 octahedra that share four of their O eq −Cl ap edges with adjacent Oct1 octahedra so that sheets are formed. The B sheets contain isolated BTP and SP polyhedra (Figure 7b) that are attached to the A sheet via Cu−OH, Ca−OH, Cu−Cl and Ca−Cl bonds.
The linkage of the BAB layers is provided by the long Ca−Cl bonds oriented approximately perpendicular to the plane of the layers ( Figure 5).
The 2M and 2O polytypes of dioskouriite can be easily distinguished from one another using powder XRD data. The most reliable diagnostic sign is the presence of relatively strong reflections with d ≈ 5.4-5.5 Å in the powder XRD pattern of dioskouriite-2M (the −112 and 111 reflections with close d values that can appear as a singlet in the measured XRD diagram), which are absent in the XRD pattern of dioskouriite-2O ( Table 2).
The high values of a crystallographic agreement factor R (10.39% for dioskouriite-2M and 8.81% for dioskouriite-2O) are due to the stacking faults, which reflect the occurrence of both polytypes in the same crystal. Analysis of residual electron density peaks in different Fourier syntheses indicated that the two strongest peaks for dioskouriite-2M (Table 4b) and the nine strongest peaks for dioskouriite-2O (Table 5b)

Relations to Other Species
The crystal structures of dioskouriite polytypes are related to the structures of minerals and synthetic inorganic compounds consisting of layers based upon Cu 2+ cation arrays with a capped kagomé geometry. The latter is one of the most common cationic patterns in Cu oxysalts that possess interesting magnetic properties such as a spin-liquid state [37][38][39][40][41][42][43]. From a geometrical point of view, a kagomé net is a tiling of a plane consisting of regular triangles and hexagons (Figure 8). In the capped kagomé pattern, each triangle is capped either from above or below by an additional node, so each triangle in the plane forms the basis of a regular tetrahedron oriented either up or down relative to the plane of the net. In most of the structures, the kagomé pattern is distorted, i.e., the ideal hexagonal geometry of the net is violated. Among Cu hydroxychlorides, a distorted kagomé geometry has been observed in atacamite and clinoatacamite, Cu 2 (OH) 3 Cl [32,44], bobkingite, Cu 5 (OH) 8 Cl 2 ·2H 2 O [45], and avdoninite, K 2 Cu 5 Cl 8 (OH) 4 ·2H 2 O [9,28]. The capped kagomé geometry can be derived from the cristobalite-or pyrochlore-type arrangement of Cu atoms observed in atacamite and clinoatacamite [44], as shown in Figure 8. The Cu array in these two Cu 2 (OH) 3 Cl polymorphs can be described as a framework of corner-sharing "empty" Cu 4 tetrahedra (Figure 8a). Cutting it into layers along the (011) plane in atacamite results in the formation of a 2D layer with a capped kagomé geometry (Figure 8b,c), i.e., a planar arrangement of Cu atoms with all triangles capped by additional Cu atoms located on both sides of the sheet. In all the minerals mentioned above, except for the dioskouriite polytypes, the arrays are homometallic, i.e., they are composed of Cu atoms only. In contrast, the cationic array of the BAB layer in dioskouriite consists of Cu and Ca atoms, where half of the triangles are capped by Ca. In the real structures of the Cu hydroxychloride minerals, the capped kagomé arrays are decorated by Cl atoms and (OH) groups and the modes of the decoration differ from structure to structure. Figure 9 shows the ball-and-stick representations of the A-type layers in atacamite, clinoatacamite, bobkingite and avdoninite. In all cases, the topology of the interatomic linkage is the same and the layers have the overall formula [Cu3φ8], where φ = Cl, OH. In the crystal structures of atacamite, clinoatacamite and bobkingite, the stoichiometry of the layers is [Cu3(OH)6Cl2], whereas the crystal structures of avdoninite and dioskouriite polytypes are based upon the [Cu3(OH)4Cl4] layers. Ideally, the layers with different Cl−OH arrangements can be described using idealized diagrams, shown in Figure 10. Figure 10a shows an ideal geometry, whereas Figures 10a-e provide the schemes of distribution of Cl and OH over anionic sublattices in different minerals. The deviations from the ideal geometry due to the different sizes of Cl − and (OH) − anions may be essential, as can be seen in Figure 9. In the real structures of the Cu hydroxychloride minerals, the capped kagomé arrays are decorated by Cl atoms and (OH) groups and the modes of the decoration differ from structure to structure. Figure 9 shows the ball-and-stick representations of the A-type layers in atacamite, clinoatacamite, bobkingite and avdoninite. In all cases, the topology of the interatomic linkage is the same and the layers have the overall formula [Cu 3 φ 8 ], where φ = Cl, OH. In the crystal structures of atacamite, clinoatacamite and bobkingite, the stoichiometry of the layers is [Cu 3 (OH) 6 Cl 2 ], whereas the crystal structures of avdoninite and dioskouriite polytypes are based upon the [Cu 3 (OH) 4 Cl 4 ] layers. Ideally, the layers with different Cl−OH arrangements can be described using idealized diagrams, shown in Figure 10. Figure 10a shows an ideal geometry, whereas Figure 10a-e provide the schemes of distribution of Cl and OH over anionic sublattices in different minerals. The deviations from the ideal geometry due to the different sizes of Cl − and (OH) − anions may be essential, as can be seen in Figure 9.
The topological relations between the crystal structures of dioskouriite and other natural Cu hydroxychlorides indicate the energetical stability of the kagomé geometry. The kagomé arrays in dioskouriite polytypes are distorted and therefore less interesting from the viewpoint of their magnetic properties. Nevertheless, it is worthy of investigation, which needs a pure synthetic material. Since no artificial analogs of dioskouriite have been reported so far, its synthesis may be a reasonable task. The topological relations between the crystal structures of dioskouriite and other natural Cu hydroxychlorides indicate the energetical stability of the kagomé geometry. The kagomé arrays in dioskouriite polytypes are distorted and therefore less interesting from the viewpoint of their magnetic properties. Nevertheless, it is worthy of investigation, which needs a pure synthetic material. Since no artificial analogs of dioskouriite have been reported so far, its synthesis may be a reasonable task.

Structural Complexity and Relative Stability
The structural complexity of the two polytypes has been estimated using the information-based parameters elaborated in [46,47] and taking into account the H-correction [48]. Both crystal structures belong to the category of complex structures (500-1000 bit/cell), with dioskouriite-2M being slightly more complex (5.019 bit/atom and 622.230 bit/cell) than dioskouriite-2O (4.954 bit/atom and 614.320 bit/cell). The information densities for the 2M and 2O polytypes are equal to 0.406 and 0.394 bit/Å 3 , respectively. The difference in information density correlates well with the difference in physical densities-2.820 and 2.765 g/cm 3 , respectively. This allows to consider the 2O polytype as being slightly less stable (or metastable) compared to the 2M polytype. One may also consider the 2O polytype as a high-temperature phase and the 2M polytype as a low-temperature phase. The same kind of relation has been observed in a number of minerals and inorganic compounds: the metastable high-temperature polymorph possessing lower density and lower complexity compared to the stable low-temperature polymorph (see [46] and [49] for a recent discussion of the topic). However, there are very small doubts that both polytypes are energetically close to each other and that this causes their common formation

Structural Complexity and Relative Stability
The structural complexity of the two polytypes has been estimated using the informationbased parameters elaborated in [46,47] and taking into account the H-correction [48]. Both crystal structures belong to the category of complex structures (500-1000 bit/cell), with dioskouriite-2M being slightly more complex (5.019 bit/atom and 622.230 bit/cell) than dioskouriite-2O (4.954 bit/atom and 614.320 bit/cell). The information densities for the 2M and 2O polytypes are equal to 0.406 and 0.394 bit/Å 3 , respectively. The difference in information density correlates well with the difference in physical densities-2.820 and 2.765 g/cm 3 , respectively. This allows to consider the 2O polytype as being slightly less stable (or metastable) compared to the 2M polytype. One may also consider the 2O polytype as a high-temperature phase and the 2M polytype as a low-temperature phase. The same kind of relation has been observed in a number of minerals and inorganic compounds: the metastable high-temperature polymorph possessing lower density and lower complexity compared to the stable low-temperature polymorph (see [46] and [49] for a recent discussion of the topic). However, there are very small doubts that both polytypes are energetically close to each other and that this causes their common formation and the presence of domains of both polytypes in the same crystals. The existence of stacking faults and intimate intergrowths of the two polytypes may indicate the oscillating temperature and/or kinetic regime of crystallization of the mineral inside volcanic fumaroles. and the presence of domains of both polytypes in the same crystals. The existence of stacking faults and intimate intergrowths of the two polytypes may indicate the oscillating temperature and/or kinetic regime of crystallization of the mineral inside volcanic fumaroles.