Chladniite, a mineral with the idealized formula Na3CaMg11[PO4]9, belongs to the fillowite group which also includes fillowite Na3CaMn\(_{{11}}^{{2 + }}\)[PO4]9, johnsomervilleite Na3CaFe\(_{{11}}^{{2 + }}\)[PO4]9, and galileiite Na3Fe2+Fe\(_{{11}}^{{2 + }}\)[PO4]9. All these isostructural phosphates are trigonal. The space group is R–3, a = 14.9–15.3 Å, and c = 41.7–43.3 Å [18]. This formula record  with 36 O atoms per formula (Z = 12) was approved by the International Mineralogical Association only in 2021 after the adoption of the new nomenclature of the fillowite group [8]. Initially, chladniite was described in 1994 with the formula Na2CaMg7[PO4]6 (Z = 18) [3]. It should also be noted that stornesite-(Y) characterized in 2006 as a new mineral of the fillowite group with the formula (Y,Ca)\(\square \)2Na6(Ca,Na)8(Mg,Fe)43(PO4)36 (Z = 3) [6] was assigned to the rare-earth variety of chladniite under the development of this nomenclature and, accordingly, was discredited as an independent mineral variety [8].

Chladniite was first found in iron [3] and stone [9] meteorites, and then, on the Earth, in metamorphic rocks [6] and in phosphate-rich granitic pegmatites [7, 8]. The chemical composition of chladniite samples from objects of various genesis differs markedly (Table 1).

Table 1. Chemical composition of chladniite from meteorites (1–3) and terrestrial objects (4–7)

We discovered a new chladniite variety with an unusual chemical composition in high-temperature fumarole exhalations in the Tolbachik Volcano (Kamchatka), in particular, in the Arsenatnaya fumarole on the Second scoria cone of the Northern Breakthrough of the Great Tolbachik Fissure Eruption (GTFE) in 1975–1976. This large active oxidizing fumarole, known due to the unique diversity and originality of exhalation minerals, was described, in particular, in terms of mineralogical and geochemical zoning, in [11]. Despite the fact that almost half a century has passed since the end of the GTFE, numerous fumaroles of the Second scoria cone remain active, and the gas temperature, which we regularly measured in the period of 2012–2022, reaches 500°С in them.

Chladniite was found in July 2017 in the deep (about 3 m from the day surface) hottest zone of the Arsenatnaya fumarole, in highly mineralized cavities with a temperature of 450–480°С at the sampling time. This mineral forms colorless, water-transparent, glassy, isometric, or elongated crystals of up to 0.5 mm in size (Fig. 1a) and skeletal intergrowths of up to 2 mm. Chladniite crystals (symmetry class –3) consist of faces of two hexagonal prisms, several rhombohedra, and a pinacoid. Their degree of perfection varies from relatively clear polyhedrons (Fig. 1b) to coarse, sometimes rounded individuals. They grow on the walls of the cavity composed of basalt slag processed by fumarole gases. In exhalation encrustations, chladniite is closely associated with P-bearing calciojohillerite NaCaMg3[(As,P)O4]3, As-bearing fluorapatite Ca5[(P,As)O4]3F, metathénardite, diopside, enstatite, forsterite, and hematite.

Fig. 1.
figure 1

Chladniite crystals from the Arsenatnaya fumarole (Tolbachik): (a) a colorless crystal of 0.5 mm in size with pale lilac calciojohillerite (photo image by I.V. Pekov and A.V. Kasatkin); (b) intergrowth of crystals (SEM image in SE).

The chemical composition of Tolbachik chladniite was determined by the electron probe method with a JEOL 733 microanalyzer at an accelerating voltage of 20 kV and a beam current of 10 nA. Standards: (Na) albite, (Mg) chromite, (Ca) wollastonite, (Mn) Mn, (P) LaPO4, and (As) InAs. The contents of other elements with atomic numbers >8 turned out to be below the detection limit. The composition of our sample is given in Table 1 (analysis 7) in comparison with that of chladniite from other objects. All empirical formulas in Table 1 are calculated according to a unified procedure in accordance with the current nomenclature of the fillowite group [8].

The X-ray study of a single crystal of Tolbachik chladniite was accomplished by means of an Xcalibur S CCD diffractometer for a full sphere of reciprocal space. The crystal structure of the mineral was determined and refined using SHELX software package [12] with the fillowite structural model [2] as the initial one. The crystallographic characteristics, single-crystal experiment data, and structure refinement parameters are given in Table 2; the atomic coordinates, atomic displacement parameters, site multiplicity, and site occupancy factors are in Table 3; and the interatomic distances, in Table 4. Atomic positions are denoted by the letters M (metal cations), P (tetrahedrally coordinated components), and O (oxygen atoms), according to [8]. The crystallochemical formula (Z = 3) was obtained based on the structure refinement results: M13(Na0.56\(\square \)0.44)\(_{2}^{{M21}}\)(Na0.81Ca0.19)\(_{2}^{{}}\) \(_{{}}^{{M31}}\)(Na0.97\(\square \)0.03)\(_{6}^{{M12}}\)(Ca0.64Na0.36)\(_{6}^{{M1}}\)MnM2(Mg0.54Ca0.46) M3-9Mg30 M10(Mg0.94Ca0.06)\(_{6}^{{M11}}\)Mg6(P33.53As2.47)O144. It is in good agreement with the electron microprobe data (Table 1, analysis 7).

Table 2. Crystallographic characteristics, single-crystal experiment data, and parameters of the refinement of the Tolbachik chladniite structure
Table 3. Coordinates and equivalent displacement parameters (Ueq, Å2) of atoms, occupancy (s.o.f.), and multiplicity (Q) of positions in the Tolbachik chladniite structure
Table 4. Selected interatomic distances (Å) in the Tolbachik chladniite structure

The atomic structure of chladniite (Fig. 2) is topologically identical to that of other members of the fillowite group. The differences between them are in the nature and degree of site occupancy, as well as in the configuration of M-centered polyhedra. The structural features of fillowite-like compounds are detailed in [2] using the hexagonal mosaic pattern of polyhedral rods proposed by P.B. Moore [13]. Three types of rods extended along the axis c (I, II, and III) built by polyhedra of M-cations and PO4 tetrahedra are distinguished in these structures; rods I and III are broken and contain vacancies (Fig. 3). As in other structurally studied samples of fillowite group minerals, in Tolbachik chladniite, rod I consists of connected via common faces M-polyhedra and vacancies (\(\square \)) in the sequence VIM1–\(\square \)VIM3–VIM13–IXM21–VIM4–VIM5–\(\square \)VIM2–\(\square \)VIM5–VIM4–IXM21–VIM13–VIM3–\(\square \) (Ro-man numerals denote the coordination numbers of M-cations). Rod II consists of M-polyhedra connected via common edges and vertices as VIIIM12–VM9–VIIM31–VIM8–VIIIM12–VM9–VIIM31–VIM8–VIIIM12– VM9–VIIM31–VIM8. Rod III combines (P,As)O4 tetrahedra (it includes all six crystallographically nonequivalent P tetrahedra: Table 3), M-polyhedra, and vacancies in the sequence P6–VM11–P4–VIM6–P1–\(\square \)–P5–VIM7–P2–\(\square \)VIM10–P3–\(\square \).

Fig. 2.
figure 2

Crystal structure of Tolbachik chladniite. Mg-dominant polyhedra (M2–11) are blue, Ca-dominant ones (M12) are dark green, and Na-dominant ones (M13, M21, and M31) are light green. A thick black line shows the unit cell.

Fig. 3.
figure 3

Polyhedral rods in the chladniite structure.

Structures of four chladniite samples were studied earlier [4, 68]. They represent various chemical chladniite varieties which correspond in composition to analyses 1, 4, 5, and 6 in Table 1. Table 5 reports the comparative data on the occupancy of M-positions in all five structurally studied chladniite samples. It makes no sense to compare the occupancy of P sites, because this information is given for our sample in Table 3. As for all previously studied samples, the P-positions are occupied, in fact, by phosphorus atoms alone. According to Table 5, large cations (Na+, Ca2+, REE3+, and the largest of the medium-sized cations Mn2+) are concentrated primarily in the positions M31, M21, M12, M13, and M1; the M13 polyhedron shows a clear trend towards the availability of vacancies. An exception is, to some extent, a sample from Sapucaia granite pegmatite in Brazil [8], where positions M13 and M1, on the contrary, are dominated by the smallest cation Mg2+, while M4 is dominated by large Na+. This inversion can be due to the structure distortion as a result of the unusually high total of Fe and Mn that occurs in the mineral. In the M2–11 group, M2, M6–7, and M9–11 can be considered the most isomorphically capacious with respect to cations larger than Mg2+.

Table 5. Distribution of cations over M-positions in the structurally studied chladniite samples from different objects

Table 1 shows two basic individual features of the chemical composition of Tolbachik fumarolic chladniite such as the substantial enrichment in As replacing P and the absence of Fe. Hence, a new Fe-free As-bearing mineral variety can be identified. It should be noted that in terms of metal cations (M), our sample is closer to the ideal formula of Na3CaMg11[PO4]9 than chladniite from all objects previously known for this mineral: the total content of impurities in M-positions (i.e., any M-cations, except Na, Ca, and Mg) in it is the lowest. These impurities are represented in Tolbachik chladniite only by Mn (1.3 wt % MnO) separated in the M1-position (Tables 1, 3, 5).

A considerable isomorphism between P5+ and As5+ is characteristic of many minerals in the high-temperature parageneses of the oxidation-type Tolbachik fumaroles. It was recorded in representatives of the apatite, titanite, and wagnerite structural types [14]. In our case, it is interesting to compare the P and As distribution between closely associated (Fig. 1a) and, judging from their relationship, simultaneously crystallized P-bearing arsenate calciojohillerite NaCaMg3[(As,P)O4]3 and As-containing phosphate chladniite Na3CaMg11[(P,As)O4]9. These oxosalts have the same set of metal cations, but the former belongs to the alluaudite structural type [15], and the latter, to fillowite. Their paragenesis is clearly indicative of the relative affinity of these structural types for As and P, respectively.

Tolbachik chladniite is interesting not only for its unusual chemical features and the fact that the largest segregations of this mineral were found in this area, but also that well-faceted crystals were found for the first time. In general, volcanic exhalations are a new genetic type for fillowite group minerals which were previously found only in meteorites (all members of the group), granitic pegmatites (fillowite, johnsomervilleite, and Fe‒Mn-varieties of chladniite), and metamorphic rocks (johnsomervilleite and the Fe–REE variety of chladniite). The Tolbachik oxidation-type fumaroles are characterized by a combination of high temperature and oxygen fugacity with atmospheric pressure. According to [11], the minerals were crystallized in the temperature range of 500–750°С in the zone where chladniite was found. It was the oxidation environment that affected the basic individual features of the mineral from this object: a high As5+ content and “a sterility” with respect to Fe, in contrast to all other objects, both terrestrial and extraterrestrial, where Fe2+ is a major impurity component in this phosphate (Table 1). Almost all iron in fumarolic incrustations containing chladniite is concentrated in hematite. Alongside with that, manganese is divalent in chladniite, as is clearly indicated by the M1–O interatomic distances (Table 4); hence, this environment should not be called extremely oxidizing. It should be noted that a technogenic analogue of galileiite Na3Fe\(_{{12}}^{{2 + }}\)(PO4)9 [16], the fillowite group member the most enriched in Fe2+, was formed at close PT parameters, but in a highly reducing environment, in the burning dump of a coal mine in Kopeisk (Southern Urals).

In general, the chladniite composition clearly records the chemistry of the mineral-forming system, as already noted in [7], albeit with a less representative material than the current one. Samples from granitic pegmatites are the most enriched in both Fe and Mn; samples from metamorphic rocks are enriched in Fe and REE (Y), but depleted in Mn. Meteorites contain a high-Mg and still elevated-Fe (and in stony ones, also enriched in Mn) variety, while chladniite crystallized in the oxidation-type fumarole system is completely devoid of Fe, but contains As5+ (Table 1).