A new, IMA-approved classification scheme for the spinel-supergroup minerals is here reported. To belong to the spinel supergroup, a mineral must meet two criteria: (i) the ratio of cation to anion sites must be equal to 3:4, typically represented by the general formula AB2X4 where A and B represent cations (including vacancy) and X represents anions; (ii) its structure must comprise a heteropolyhedral framework of four-fold coordination polyhedra (TX4) isolated from each other and sharing corners with the neighboring six-fold coordination polyhedra (MX6), which, in turn, share six of their twelve X-X edges with nearest-neighbor MX6. Regardless of space group, the X anions form a cubic close-packing and each X anion is bonded to three M-cations and one T-cation. The fifty-six minerals of the spinel supergroup are divided into three groups on the basis of dominant X anion: O2– (oxyspinel), S2– (thiospinel), and Se2– (selenospinel). Each group is composed of subgroups identified according to the dominant valence and then the dominant constituent (or heterovalent pair of constituents) represented by the letter B in the formula AB2X4. The oxyspinel group (33 species) can be divided into the spinel subgroup 2-3 (A2+B23+O4) and the ulvöspinel subgroup 4-2 (A4+B22+O4), the thiospinel group (20 species) into the carrollite subgroup 1-3.5 (A1+B23.5+S4) and the linnaeite subgroup 2-3 (A2+B23+S4), finally, the selenospinel group (3 species) into the bornhardtite subgroup 2-3 (A2+B3+2Se4) and the potential “tyrrellite subgroup” (A1+B23.5+S4, currently composed by only one species). Once the subgroup is established based on the valence of B, then the mineral species is identified by the combination of the dominant A- and B-cations. Moreover, the present nomenclature redefines the ideal formulae of titanomaghemite, cuprorhodsite, malanite, maghemite, filipstadite, tegengrenite, rhodostannite, toyohaite and xingzhongite as well as discredits “iwakiite”, “hydrohetaerolite” and “ferrorhodsite”.

Introduction

The central role of spinel-type compounds, both in the Earth Sciences and in many other scientific and technological fields, is well known. Indeed, minerals with the spinel structure crystallize in a wide range of physical-chemical conditions, from the upper mantle to crust, as well as in extraterrestrial bodies, e.g., Moon, Mars, and meteorites (e.g., Papike et al., 2005; Righter et al., 2006). Compounds with spinel-type structures also play a prominent role in solid-state materials science because of their physical properties.

As pointed out by Biagioni & Pasero (2014), there is a wide chemical variability of the spinel minerals. Thus, the development of a comprehensive classification system is a necessary step to understand the processes that govern their diversity. The present recommended nomenclature and classification was approved by the Commission on New Minerals, Nomenclature and Classification (CNMNC) of the International Mineralogical Association (IMA), voting proposal 17-H.

Spinel basic aspects

Structure

The spinel-type structure is adopted by many compounds with a cations-to-anions ratio of 3:4, typically represented by the general formula AB2X4 where the letters (not italicized) A and B indicate constituents (not crystallographic sites) represented by a large number of different cations or vacancy and X represents anions, such as O2–, S2–, Se2–, N3–, Te2– Cl1–, (CN)1– and F. The basic structure may be described as a slightly distorted cubic close-packed array of X-anions with A- and B-cations occupying 1/8 of the tetrahedrally and 1/2 of the octahedrally coordinated sites (respectively, T and M, letters italicized). The structures of mineral species belonging to the spinel supergroup can be more conveniently described in terms of a heteropolyhedral framework that possesses some basic features: it is formed by TX4 tetrahedra isolated from each other and sharing corners with the neighboring MX6 octahedra; the MX6 octahedron shares six of its twelve X–X edges with nearest-neighbor MX6 octahedra. The X anion is in turn four-fold coordinated by three M cations and one T cation (Fig. 1). This polyhedral arrangement is consistent with several space groups ranging from the high-symmetry space-group type Fd3¯m of cubic aristotype spinel (Bragg, 1915; Nishikawa, 1915) to P4132, P41212, I41/amd, I41/a, P4¯m2 and R3.
Fig. 1

Crystal structure of spinel (a); details of the local bonding environment around the T site (b) and the M sites (c). Brown = TX4 polyhedron; light blue = MX6 polyhedron; red = X anion. The X anions are not shown in (a), and TX4 is shown as ball-and-stick in (c).

Fig. 1

Crystal structure of spinel (a); details of the local bonding environment around the T site (b) and the M sites (c). Brown = TX4 polyhedron; light blue = MX6 polyhedron; red = X anion. The X anions are not shown in (a), and TX4 is shown as ball-and-stick in (c).

On the other hand, there are minerals with general formula AB2O4 but with a structure quite distinct from that of spinel, which therefore do not belong to the spinel supergroup. For example, the orthorhombic structure of xieite (FeCr2O4, the high-pressure polymorph of chromite) comprises eight-fold coordinated Fe2+; in wadsleyite (β-Mg2SiO4), tetrahedra share a corner to form the Si2O7 group; the structure of chrysoberyl (BeAl2O4) and forsterite (α-Mg2SiO4) is based on a hexagonal close-packed array of oxygen atoms, in which tetrahedra shares three edges with neighboring octahedra.

Cation distributions

Traditionally spinels are denoted as either “normal spinels”, where for example the T sites are occupied by divalent cations and the M sites are occupied by trivalent cations, or “inverse spinels” whose T sites are occupied by trivalent cations and the M sites by one divalent plus one trivalent cation. Given the structural formula T(A1–iBi)M(AiB2–i)X4, the two extreme distributions correspond to i = 0 (normal) and i = 1 (inverse). The value of i, the inversion parameter, depends on several factors, e.g., temperature, oxygen fugacity, crystallization kinetics, covalency effects (such as sp3 hybridization) and stabilization energies of cations at the M site (e.g., O’Neill & Navrotsky, 1984; Nell et al., 1989; O’Neill et al., 1992; Della Giusta et al., 1996; Redfern et al., 1999; Andreozzi et al., 2000; Andreozzi & Princivalle, 2002; Lucchesi et al., 2010; Papike et al., 2015; Bosi & Andreozzi, 2017).

Consequently, spinels can display extensive cation disorder over the T and M sites; an accurate determination of site partitioning would require the combination of data obtained by different methods, such as single-crystal X-ray diffraction (SC-XRD) and electron microprobe analysis (EMPA), possibly integrated with additional spectroscopic information (e.g., Mössbauer and optical absorption spectroscopy). Hatert & Burke (2008) noted the problem of uncertainty in the spinel cation distributions for nomenclature purposes, and suggested to keep the A and B constituents separate, regardless of their site occupancies as these are not imposed by valency considerations. Hence, the present classification is based on chemical formulae as resulting from chemical information only.

Chemical variability

The spinel structure is remarkably flexible in a chemical sense, accommodating atoms of a wide range of size and charge, as well as vacancies. Extensive substitution series occur among various spinel end-members, particularly among pairs with the same ordering type. For example, magnesiochromite–chromite MgCr2O4–FeCr2O4 is a binary system consisting of two normal spinels (Lenaz et al., 2004), whereas qandilite–ulvöspinel TiMg2O4–TiFe2O4 is a binary system consisting of two inverse spinels (Bosi et al., 2014).

The chemical variability is not limited only to cations, but encompasses anions, too. Most naturally occurring spinels are oxides, but there are also rare sulfide and selenide spinel-type minerals. If one considers synthetic compounds, this structural family also includes halides, pseudohalides (cyanides), tellurides and nitrides. There are many studies focusing on the synthesis and characterization of spinel compositions, and several of them have produced compositions that are not presently known to occur in nature: e.g., MgMn2O4 (Radhakrishnan & Biswas, 1975), ZnAl2S4 (Steigmann, 1967), ZnCr2Se4 (Von Philipsborn, 1971), NiLi2F4 (Müller, 2007), ZnLi2Cl4 (Sassmannshausen et al., 1996), ZnK2(CN)4 (Rohrer, 2001), Cr2+Cr2Te42- (ICSD No. 43041) and SiTi2N4 (Ching et al., 2001). Spinels with X = F1–, Cl1–, (CN)1–, Te2–, and N3– are only known as synthetic phases, whereas spinels with X = O2–, S2– and Se2– occur in nature. In contrast to the extended substitution series occurring among end-members comprising the same anion, but different cations, there are miscibility gaps among the oxy-, thio- and seleno-species in natural samples.

The supergroup-group-subgroup hierarchy of the spinels

In line with the CNMNC guidelines (Mills et al., 2009), the 56 valid species of the spinel supergroup are divided here into three groups on the basis of the dominant X species (O, S, Se; see Table 1):

  • Oxyspinel group;

  • Thiospinel group;

  • Selenospinel group.

Table 1

A classification of the 56 species in the spinel supergroup.

Oxyspinel group 
Spinel subgroup (2-3) A2+ B3+ X 
Chromite Fe Cr2 O4 
Cochromite Co Cr2 O4 
Coulsonite Fe V2 O4 
Cuprospinel Cu Fe2 O4 
Dellagiustaite Al2 O4 
Deltalumite (Al0.670.33Al2 O4 
Franklinite Zn Fe2 O4 
Gahnite Zn Al2 O4 
Galaxite Mn Al2 O4 
Guite Co Co2 O4 
Hausmannite Mn Mn2 O4 
Hercynite Fe Al2 O4 
Hetaerolite Zn Mn2 O4 
Jacobsite Mn Fe2 O4 
Maghemite (Fe0.670.333+Fe2 O4 
Magnesiochromite Mg Cr2 O4 
Magnesiocoulsonite Mg V2 O4 
Magnesioferrite Mg Fe2 O4 
Magnetite Fe Fe2 O4 
Manganochromite Mn Cr2 O4 
Spinel Mg Al2 O4 
Thermaerogenite Cu Al2 O4 
Titanomaghemite (Ti0.50.54+) Fe2 O4 
Trevorite Ni Fe2 O4 
Vuorelainenite Mn V2 O4 
Zincochromite Zn Cr2 O4 
Ulvöspinel subgroup (4-2) A4+ B2+ X 
Ahrensite Si Fe2 O4 
Brunogeierite Ge Fe2 O4 
Filipstadite (Fe0.53+Sb0.55+) Mn2 O4 
Qandilite Ti Mg2 O4 
Ringwoodite Si Mg2 O4 
Tegengrenite (Mn0.53+Sb0.55+) Mg2 O4 
Ulvöspinel Ti Fe2 O4 

 
Thiospinel group 

 
Carrollite subgroup (1-3.5) A1+ B3.5+ X 
Carrollitea Cu Co2 S4 
Cuproiridsite Cu (Ir3+Ir4+S4 
Cuprokalininite Cu (Cr3+Cr4+S4 
Fletcheritea Cu Ni2 S4 
Florensovite Cu (Cr1.53+Sb0.55+) S4 
Malanite Cu (Ir3+Pt4+S4 
Rhodostannite Cu (Fe0.52+Sn1.54+) S4 
Toyohaite Ag (Fe0.52+Sn1.54+) S4 
Linnaeite subgroup (2-3) A2+ B3+ X 
Cadmoindite Cd In2 S4 
Cuprorhodsite (Cu0.5+Fe0.53+) Rh2 S4 
Daubréelite Fe Cr2 S4 
Greigite Fe Fe2 S4 
Indite Fe In2 S4 
Joegoldsteinite Mn Cr2 S4 
Kalininite Zn Cr2 S4 
Linnaeite Co Co2 S4 
Polydymite Ni Ni2 S4 
Siegenite Co Ni2 S4 
Violarite Fe Ni2 S4 
Xingzhongite Pb Ir2 S4 

 
Selenospinel group 

 
“Tyrrellite subgroup” (1-3.5) A1+ B3.5+ X 
Tyrrellitea Cu (Co,Ni)2 Se4 
Bornhardtite subgroup (2-3) A2+ B3+ X 
Bornhardtite Co Co2 Se4 
Trüstedtite Ni Ni2 Se4 
Oxyspinel group 
Spinel subgroup (2-3) A2+ B3+ X 
Chromite Fe Cr2 O4 
Cochromite Co Cr2 O4 
Coulsonite Fe V2 O4 
Cuprospinel Cu Fe2 O4 
Dellagiustaite Al2 O4 
Deltalumite (Al0.670.33Al2 O4 
Franklinite Zn Fe2 O4 
Gahnite Zn Al2 O4 
Galaxite Mn Al2 O4 
Guite Co Co2 O4 
Hausmannite Mn Mn2 O4 
Hercynite Fe Al2 O4 
Hetaerolite Zn Mn2 O4 
Jacobsite Mn Fe2 O4 
Maghemite (Fe0.670.333+Fe2 O4 
Magnesiochromite Mg Cr2 O4 
Magnesiocoulsonite Mg V2 O4 
Magnesioferrite Mg Fe2 O4 
Magnetite Fe Fe2 O4 
Manganochromite Mn Cr2 O4 
Spinel Mg Al2 O4 
Thermaerogenite Cu Al2 O4 
Titanomaghemite (Ti0.50.54+) Fe2 O4 
Trevorite Ni Fe2 O4 
Vuorelainenite Mn V2 O4 
Zincochromite Zn Cr2 O4 
Ulvöspinel subgroup (4-2) A4+ B2+ X 
Ahrensite Si Fe2 O4 
Brunogeierite Ge Fe2 O4 
Filipstadite (Fe0.53+Sb0.55+) Mn2 O4 
Qandilite Ti Mg2 O4 
Ringwoodite Si Mg2 O4 
Tegengrenite (Mn0.53+Sb0.55+) Mg2 O4 
Ulvöspinel Ti Fe2 O4 

 
Thiospinel group 

 
Carrollite subgroup (1-3.5) A1+ B3.5+ X 
Carrollitea Cu Co2 S4 
Cuproiridsite Cu (Ir3+Ir4+S4 
Cuprokalininite Cu (Cr3+Cr4+S4 
Fletcheritea Cu Ni2 S4 
Florensovite Cu (Cr1.53+Sb0.55+) S4 
Malanite Cu (Ir3+Pt4+S4 
Rhodostannite Cu (Fe0.52+Sn1.54+) S4 
Toyohaite Ag (Fe0.52+Sn1.54+) S4 
Linnaeite subgroup (2-3) A2+ B3+ X 
Cadmoindite Cd In2 S4 
Cuprorhodsite (Cu0.5+Fe0.53+) Rh2 S4 
Daubréelite Fe Cr2 S4 
Greigite Fe Fe2 S4 
Indite Fe In2 S4 
Joegoldsteinite Mn Cr2 S4 
Kalininite Zn Cr2 S4 
Linnaeite Co Co2 S4 
Polydymite Ni Ni2 S4 
Siegenite Co Ni2 S4 
Violarite Fe Ni2 S4 
Xingzhongite Pb Ir2 S4 

 
Selenospinel group 

 
“Tyrrellite subgroup” (1-3.5) A1+ B3.5+ X 
Tyrrellitea Cu (Co,Ni)2 Se4 
Bornhardtite subgroup (2-3) A2+ B3+ X 
Bornhardtite Co Co2 Se4 
Trüstedtite Ni Ni2 Se4 

Note:

a

See discussion in the text.

Within each group, subdivision into subgroups is performed according to the cation charge arrangement combinations, constrained by the (A + B) to X atomic ratio of 3:4 (see above). Various distinct combinations may occur in the spinel supergroup, although some of them have been observed only in synthetic compounds. A useful way to group the cation charge arrangements is based on the weighted average of the sum of formal charges of the constituents A and B; for example:

  • 1-3.5, (A)Σ1+(B2)Σ7+ as in A(Cu+)B(Cr1.53+Sb0.55+)S4 (florensovite);

  • 2-3, (A)Σ2+(B2)Σ6+ as in A(Mg2+)B(Al3+)2O4 (spinel);

  • 4-2, (A)Σ4+(B2)Σ4+ as in A(Ti4+)B(Fe22+)O4 (ulvöspinel).

Note that the constituent B (and sometimes also A) can represent a heterovalent pair of ions imposed by the electroneutrality principle in the end-member compositions.

In accord with the above-mentioned cation charge arrangements, the oxyspinel group can be divided into subgroups 2-3 and 4-2. In the thiospinel and selenospinel groups, some uncertainties in the ion oxidation states (e.g., Vaughan & Craig, 1978; Barkov et al., 2000; Pattrick et al., 2008) make the classification more difficult and, likely, the assignment of formal charges in such compounds has very little meaning (e.g., Goodenough, 1969). However, on the basis of the current knowledge, they can be theoretically divided as follows: thiospinel-subgroups 1-3.5 and 2-3; selenospinel-subgroups 1-3.5 and 2-3 (Fig. 2). This subdivision scheme can easily be extended, for example, to possible subgroups 2-1 and 6-1. Moreover, new groups can be established if AB2X4 compounds with spinel structures are discovered as new minerals.
Fig. 2

The supergroup-group-subgroup hierarchy and general formulae of the spinels.

Fig. 2

The supergroup-group-subgroup hierarchy and general formulae of the spinels.

Spinel classification by chemical formula

In order to assist the geoscience community in identifying spinel species, and to simplify the nomenclature (Hatert & Burke, 2008), cations at the T and M sites are grouped together in spinel, and each species is defined in a systematic fashion by stoichiometry, that is, on the basis of the chemical formula AB2X4.

In fact, the use of the structural formula, i.e. the application of the standard CNMNC guidelines (Nickel & Grice, 1998) to each single crystallographic site to identify a spinel species, may lead to the creation of a surplus of end-members, which would be difficult to distinguish on a routine experimental basis and with little geological or petrological significance. For example, Nakatsuka et al. (2004) studied synthetic spinels along the series Mg(Al2-xFex3+)Σ2O4 and reported for the composition x = 1.21 the structural formula: T(Mg0.38Al0.09Fe0.533+)Σ1.00M(Mg0.62Al0.70Fe0.683+)Σ2.00O4. According to Hawthorne (2002), the above formula shows that Fe3+ is dominant at the T site and the pair (Mg + Al)Σ5+ is dominant at the M site, thus leading to end-member (Fe3+)(MgAl)O4. The latter would represent a potential “intermediate” end-member between spinel and magnesioferrite (MgAl2O4–MgFe2O4). Similar arguments apply to the magnetite–ulvöspinel series (FeFe2O4–TiFe2O4), for which the “intermediate” end-member (Fe3+)(Fe1.52+Ti0.5)O4 is expected. Moreover, a classification scheme based on structural formulae will generate new species differing in their inversion parameter: e.g., the normal spinel ringwoodite T(Si)M(Mg)2O4 would deserve a new name when occurring as inverse spinel T(Mg)M(MgSi)O4 (Bindi et al., 2018). All aforementioned examples encumber the development of consistent nomenclature system aimed at minimizing the proliferation of mineral names and identifying mineral species with relatively simple methods.

The total variations in spinel composition can easily be described by the ternary system A–B–X, where parameters A and B show the greatest degree of variation. Once the X is established, the system is reduced to a binary system A–B. The variation of these parameters is constrained by the electroneutrality principle, and therefore only one parameter is actually needed to identify the subgroup. This parameter is represented by the most abundant constituent B in the formula AB2X4. From chemical analytical data and in keeping with the dominant-valency rule (Hatert & Burke, 2008), the dominant valence can be determined for B by summing the ions for each valence, e.g., ΣR2+ = (Mg2+ + Fe2+ + Mn2+) or ΣR3+ = (Cr3+ + Fe3+ + Al3+).

Oxyspinels of subgroup 4-2 are characterized by ΣR2+ > 1.5 atoms per formula unit (apfu), whereas oxyspinels of subgroup 2-3 are characterized by ΣR3+ > 1.0 apfu. When ΣR2+ > 1.5 apfu, ΣR3+ < 1 apfu and vice versa. Alternatively, the ratio ΣR3+R2+ can be used to distinguish between the two subgroups. This ratio varies from 0 to 2/3 for spinel 4-2, and from 2/3 to 2 for spinel 2-3. The special condition ΣR3+R2+ = 2/3 (ΣR2+ = 1.5 apfu and ΣR3+ = 1.0 apfu) corresponds to the boundary between spinels 4-2 and 2-3 (e.g., Ti0.54+Fe1.03+Fe1.52+O4).

In order to avoid unrealistic end-member formulae, when ΣR2+ > 1.5 apfu (subgroup 4-2), the B constituent is identified with R2+ and the charge balance is achieved by coupling concentrations such as B1.512+Σ3.02+ with the charge arrangement A1.0Σ4+B0.492+Σ4.98+: e.g., Ti1.04+Fe2.03+O4. On the other hand, when ΣR3+ > 1.0 apfu (subgroup 2-3), B = R3+ and concentrations such as B1.013+Σ3.03+ will be consistent with the charge arrangement (A1.0Σ2+B0.993+)Σ4.97+: e.g.,Fe1.02+Fe2.03+O4.

Once the valence of B is established, the dominant B-cation and then the dominant A-cation are identified according to the dominant-constituent rule. A possible difficulty is that as a result of charge balance requirements, some spinel end-members have A or B constituted by heterovalent pairs of ions (or ion + vacancy). For example, A1.0Σ4+ and A1.0Σ2+ may represent the cation arrangements AFe0.53+Sb0.55+Σ4+ or AMn0.53+Sb0.55+Σ4+ and A(Ti0.54+0.5)Σ2+ or A(Fe0.673+0.33)Σ2+, respectively. This mixed occupancy of A (or also of B) is consistent with the rule of the valency-imposed double site-occupancy (Hatert & Burke, 2008).

Issues in the classification of chalcospinels according to their cation charge arrangements

The assignment of the oxidation states of oxyspinels can be considered relatively straightforward. On the other hand, the assignment of formal charges in chalcospinels (thiospinels and selenospinels) could have very little meaning (e.g., Goodenough, 1969), owing to the effects of electron delocalization and their possible non-stoichiometry (e.g., Vaughan & Craig, 1978; Charnock et al., 1990). In addition, several transition elements occurring in Cu- and S-bearing compounds have two or more possible formal charges that need to be independently determined. In fact, they cannot be constrained by charge balance as the charge of S can assume non-integer values between –2 and –1, due to the presence of holes in the S 3p band (e.g., Riedel et al., 1981; Pattrick et al., 2008).

Actually, many thiospinels and selenospinels, characterized by the occurrence of Cr, Mn, Fe, Co, Ni, Zn, Cd, and In, could be reasonably assigned to subgroup 2-3, i.e., cadmoindite (Cd2+In23+S4), daubréelite (Fe2+Cr23+S4), greigite (Fe2+Fe23+S4), indite (Fe2+In23+S4), joegoldsteinite (Mn2+Cr23+S4), kalininite (Zn2+Cr23+S4), linnaeite (Co2+Co23+S4), polydymite (Ni2+Co23+S4), siegenite (Co2+Ni23+S4), trüstedtite (Ni2+Ni23+Se4), violarite (Fe2+Ni23+S4) and the questionable mineral bornhardtite (Co2+Co23+Se4). Some of these assignments are supported by spectroscopic investigations (e.g., Vaughan & Craig, 1985).

However, the classification of Cu-bearing chalcospinels is more problematic. In particular, the charge of ions in carrollite (CuCo2S4), fletcherite (CuNi2S4) and tyrrellite [Cu(Co,Ni)2Se4] is a matter of discussion. Indeed, Cu usually occurs as Cu1+ in sulfides, whereas Cu2+ is very rare. This notwithstanding, carrollite has been traditionally considered a 2-3 species, Cu2+Co23+(S2-)4 (e.g., Charnock et al., 1990). Recently, Pattrick et al. (2008) and Buckley et al. (2009) investigated the formal charge of Co in carrollite through spectroscopic techniques. Both studies confirmed Cu1+, but the charge of Co is still under question. Pattrick et al. (2008) suggested a Co charge between +2 and +3 along with the charge-arrangement Cu1+(Co2+Co3+)(S1.5–)4. In contrast, Buckley et al. (2009), on the basis of a study by Wada et al. (2002), proposed a low-spin Co3+ with a charge for S only 12.5% less negative than –2, which leads to the charge arrangement Cu1+Co23+(S1.75-)4. With regard to fletcherite, there are only two studies (Craig & Carpenter, 1977; Ostwald, 1985) that provide chemical data. To date, no information on the fletcherite structure and the formal charge of its constituents is available. With regard to tyrrellite, Yang et al. (2007) studied the crystal structure reporting a bond-valence sum value of 3.77 valence units for the B constituent (Co + Ni), which suggests that the Co or Ni ions would exist in a formal charge greater than 3+. It was also concluded that Cu is +1 in tyrrellite by analogy with studies on Cu1+(Cr3+Cr4+)Se4 (e.g., Yang et al., 2007).

For classification purposes, the formal charges of the constituent elements in carrollite, fletcherite and tyrrellite are not crucial for their validity as mineral species, but merely for their inclusion in a subgroup. We are aware that further studies are needed in order to better define the formula of carrollite, fletcherite and tyrrellite. Presently, we assume that the oxidation states of anions (S and Se) and Cu are –2 and +1 (respectively). Such an assumption implies the occurrence of Co3+, Co4+, Ni3+ and Ni4+ which lead to B3.5+. As a result, carrollite, fletcherite and tyrrellite fall into subgroup 1-3.5. As the minimum requirement to have a mineral subgroup is that it contains at least two species (Mills et al., 2009), tyrrellite is considered as an isolated member of the potential “tyrrellite subgroup”.

Output of the recommended nomenclature

In order to belong to the spinel supergroup, a mineral species has to have an atomic ratio between (A + B) cations (including vacancy) and X anions equal to 3:4, and a heteropolyhedral framework composed by TX4 tetrahedra isolated from each other and sharing corners with the neighboring MX6 octahedra. The latter, in turn, share six of their twelve X–X edges with nearest-neighbor MX6. This supergroup is divided into three groups according to the dominant X species, i.e., oxyspinel group (X = O2–), thiospinel group (X = S2–), and selenospinel group (X = Se2–). Within each group, many cation charge arrangement combinations are possible, constrained by the electroneutrality principle. Each of these combinations corresponds to a subgroup (Table 1).

The following spinels were redefined or discredited from the original description for internal consistency among the spinel species.

Redefined spinel species

Titanomaghemite, redefined as Ti0.54+0.5Fe2O4

Titanomaghemite was reported as a questionable mineral in the IMA List of Minerals with the simplified formula Fe(Fe,Ti)2O4. The latter did not reflect the occurrence of cation vacancies. Collyer et al. (1988) provided a detailed crystal-chemical characterization (EMPA, Mössbauer and SC-XRD) of a natural titanomaghemite sample from Pretoria, South Africa. The sample was refined in the space group P4332 and its empirical structural formula corresponds to T(Fe0.963+0.04)Σ1.00 M(1)(Fe0.032+Fe0.143+Ti0.064+0.27)Σ0.50M(2)(Fe0.202+Fe0.853+Ti0.364+0.10)Σ1.50O4, where M(1) and M(2) are two non-equivalent octahedrally coordinated sites. In accordance with Hawthorne (2002), this formula leads to the end-member composition:

T(Fe3+)M(1)(□)0.5M(2)Fe1.03+Ti0.54+O4 which in terms of A and B constituents can be rearranged as A0.5Ti0.54+Σ2+ B(Fe23+)Σ6+/2=3+O4=(Ti0.54+0.5)Fe23+O4. Titanomaghemite can hence be considered as a member of the spinel subgroup 2-3 of the oxyspinel group. The IMA status of titanomaghemite is consequently changed from Q (= questionable) to Rd (= redefined). The specimen “BM1929,1687” kept in the Natural History Museum (London, UK) and used by Collyer et al. (1988) for their structural investigation is considered as the neotype material for titanomaghemite.

Cuprorhodsite, redefined as (Cu0.51+Fe0.53+)Rh23+S4

The formula of cuprorhodsite was reported as CuRh2S4 in the IMA List of Minerals. However, reconsidering the empirical formula (Cu0.51Fe0.41)(Rh1.66Ir0.23Pt0.15)S4 (Rudashevsky et al., 1985) and the experimental data for synthetic thiospinels indicating the oxidation states Cu1+, Fe3+ and Rh3+ (Plumier & Lotgering, 1970; Plumier et al., 1992), the ideal formula of cuprorhodsite can be redefined as (Cu0.51+Fe0.53+)Rh23+S4.

Malanite, redefined as Cu1+(Ir3+Pt4+)S4

The troubled history of malanite was briefly summarized by Biagioni & Pasero (2014). On the basis of the study of Yu (1996), malanite was defined as CuPt2S4 with Pt3+. However, the usual occurrence of Cu1+ in sulfides (e.g., Barkov et al., 2000) and the existence of the monoclinic synthetic compound Cu21+(Pt2+Pt34+)S8 (Gross & Jansen, 1994) do not support the occurrence of Pt3+. In addition, natural occurrences of malanite are always rich in PGE other than Pt: for instance, the two chemical analyses reported in the type description (Yu, 1996) correspond to (Cu0.93Fe0.06)Σ0.99(Pt1.03Ir0.66Rh0.04Pd0.03Co0.21Ni0.03)Σ2.00S4.03 and (Cu0.95Fe0.07)Σ1.02(Pt1.37Ir0.45Co0.11Rh0.08)Σ2.01S3.97. On the basis of arguments mentioned above, the ideal formula of malanite is consistent with Cu1+(Ir3+Pt4+)S4.

Of particular interest in this regard is the composition of “dayingite” Cu1.19(Co1.08Pt0.86)Σ1.94S4.00 (Yu et al., 1974), described as a cobaltian malanite by Yu (1981), which would lead to the ideal formula Cu1+(Co3+Pt4+)S4. Barkov et al. (1997) described a Ni-malanite, corresponding to the ideal formula Cu1+(Pt1.5Ni0.52+)S4. Although no structural data are available for both Co- and Ni-malanite varieties, these phases should be further investigated as potentially new species in the carrollite subgroup 1-3.5 of the thiospinel group.

Maghemite, redefined as (Fe0.673+0.33)Fe2O4

The IMA List of Minerals gave for maghemite the formula Fe2O3. However, it is convenient to rewrite it as (Fe0.673+0.33)Fe23+O4, which better reflects its relation to the spinel supergroup. The presence of cation vacancies is a result of the oxidation of magnetite, to which maghemite is structurally related. Depending on the degree of vacancy ordering, maghemite can crystallize in space group Fd3¯m (vacancies randomly distributed), P4132 (vacancies partially ordered), or P41212, in a tetragonal multiple cell with c = 3a (vacancies completely ordered) (e.g., Greaves, 1983; Shmakov et al., 1995; Jørgensen et al., 2007; Bowles et al., 2011).

Similar arguments apply to the Al-analogue of maghemite, deltalumite, whose space group is P4¯m2 (Pekov et al., 2016) and whose formula can be written as (Al0.670.33)Al2O4.

Filipstadite, redefined as (Fe0.53+Sb0.55+)Mn2O4

Filipstadite was reported in the IMA List of Minerals with the simplified formula (Mn2+,Mg)2(Sb5+,Fe3+)O4, which could be resolved into the two potential end-members: Mg2(Sb0.55+Fe0.53+)O4 and Mn22+(Sb0.55+Fe0.53+)O4. The latter was proposed by Dunn et al. (1988) as the ideal formula for filipstadite.

This rare mineral was found in Långban, Sweden, and crystallizes in the space group Fd3¯m with a spinel-type superstructure: a = 25.93 Å, Z = 216 (Bonazzi et al., 2013). Due to cation ordering, the structure comprises 11 distinct cation sites and 10 distinct anion sites. Due to the complex cation allocation at each independent site, Bonazzi et al. (2013) grouped the T(1-5) and M(1-6) sites and provided the empirical formula: T(Mn0.602+Mg0.07Fe0.303+Zn0.02Si0.01)Σ1.00M(Mn0.562+Mg0.76Fe0.163+Al0.02Sb0.505+)Σ2.00O4.

The latter would lead to the end-member formula T(Mn0.52+Fe0.53+)M(Mg1.5Sb0.55+)O4, which, however, does not reflect the empirical composition as it underestimates the actual Mn2+ content (always > 1.1 apfu) and overestimates the Mg content. By considering only the chemical information, the populations of the T and M sites may be merged and the chemical formula expressed as: T+M(Mn1.162+Mg0.83Fe0.463+Sb0.505+Zn0.02Al0.02Si0.014+)Σ3.00O4. This formula highlights the dominance of divalent cations, ΣR2+ (Mn2+ + Mg + Zn) = 2.01 apfu (> 1.5 apfu), indicating that filipstadite can be classified in the spinel subgroup 4-2 of the oxyspinel group: the constituent B = Mn2+, which dominates over Mg and Zn, and A=Fe0.53+Sb0.55+. The corresponding ideal formula of filipstadite is therefore consistent with that proposed by Dunn et al. (1988): A(Fe0.53+Sb0.55+)B(Mn2+)2O4.

Tegengrenite, redefined as (Mn0.53+Sb0.55+)Mg2O4

Tegengrenite was reported in the IMA List of Minerals with the simplified formula Mg2(Sb,Mn)O4. Charge balance requirements indicate that the ideal formula is (Mn0.53+Sb0.55+)Mg2O4.

Tegengrenite is a rare mineral considered to be a Mg–Mn3+ analogue of filipstadite having a rhombohedrally distorted spinel-type structure (Holtstam & Larsson, 2000). Bonazzi & Bindi (2015) refined the crystal structure of a sample from the Filipstad district (Värmland, Sweden) in the trigonal space group R3 and showed that the tegengrenite superstructure has a close structural relationship to spinel. Owing to cation ordering, the M and T sites of the structure are split into ten and six independent sites, respectively.

Similarly, to filipstadite, the site allocation of cations in the tegengrenite superstructure is also quite complex. According to the two empirical formulae reported in literature, (Mg1.22Mn0.822+Zn0.07Mn0.233+Fe0.023+Al0.03Si0.06Ti0.04Sb0.505+)O4 (Holtstam & Larsson, 2000) and (Mg1.26Mn0.852+Zn0.04Mn0.193+Al0.01Si0.12Ti0.03Sb0.505+)O4 (Bonazzi & Bindi, 2015), the divalent cations (Mg + Mn2+ + Zn = 2.15 apfu) are dominant and indicate that tegengrenite belongs to subgroup 4-2. The constituent B is represented by Mg2+, whereas A is represented by (Mn0.53+Sb0.505+)Σ=4+ for charge balance reasons. Therefore, the ideal formula of the tegengrenite is (Mn0.53+Sb0.505+)Σ=4+Mg2O4.

Rhodostannite, redefined as Cu1+(Fe0.52+Sn1.54+)S4

Rhodostannite is a sulfide mineral that was first described by Springer (1968) with the formula Cu2FeSn3S8 (specimen from Vila Apacheta, Bolivia). Rhodostannite was included in the IMA List of Minerals with the simplified formula (Cu,Ag)2FeSn3S8, which is too generalized to indicate what the distinction is between rhodostannite and toyohaite. In fact, such a formula could be resolved into two end-member formulae, i.e., Cu2FeSn3S8 and Ag2FeSn3S8 (toyohaite).

Rhodostannite is included in the spinel supergroup because of its spinel-related structure and typical cation-to-anion ratio of 3:4. Jumas et al. (1979) determined by SC-XRD the crystal structure of rhodostannite in the space group I41/a. Copper is monovalent and occupies the T site, whereas Fe and Sn are randomly distributed over the equivalent M sites. Garg et al. (2001) determined by 57Fe and 119Sn Mössbauer spectroscopy the valence states of iron (Fe2+) and tin (Sn4+).

In accordance with Jumas et al. (1979), the ideal formula of rhodostannite should be written as Cu(Fe0.5Sn1.5)S4 to better show its relationship to the spinel supergroup. As Cu1+ = A1+ and (Fe0.52+Sn1.54+)Σ=7+= 2B3.5+, rhodostannite belongs to the carrollite subgroup 1-3.5 of the thiospinel group.

Toyohaite, redefined as Ag1+(Fe0.52+Sn1.54+)S4

Toyohaite is the Ag analogue of rhodostannite described by Yajima et al. (1991) in the tetragonal space group I41/a. The ideal formula Ag2FeSn3S8 is revised as Ag(Fe0.5Sn1.5)S4 to better highlight its relation to the spinel supergroup.

Xingzhongite, redefined as Pb2+Ir23+S4

Xingzhongite was reported in the IMA List of Minerals with the simplified formula (Pb,Cu,Fe)Ir2S4 and questionable IMA status. Its empirical formula, (Pb0.37Cu0.35Fe0.17)Σ0.89(Ir1.33Rh0.41Pt0.29)Σ2.03S4 (Yu et al., 1974), leads to the ideal one Pb2+Ir23+S4, although its status as a mineral species still remains questionable.

Discredited spinel species

“Iwakiite”, discredited as a polymorph of jacobsite

Iwakiite was first described by Matsubara et al. (1979) with the approximate empirical formula T(Mn2+)Σ1.0M(Fe1.33+Mn0.73+)Σ2.0O4 and tetragonal space group P42/nnm, subsequently corrected as I41/amd by Jarosch (1987). Departure from the cubic symmetry is ascribed to the bond-length distortion of the octahedron, related to the MMn3+ content. This notwithstanding, the empirical formula of iwakiite leads to an end-member formula identical to that of jacobsite: T(Mn2+)M(Fe23+)O4. In accord with the definition of polymorphism of Nickel & Grice (1998), which is not restricted to substances with identical chemical compositions, but can be broadened somewhat to include relatively minor chemical variations when the topology of the structure is retained, iwakiite is considered as the tetragonal dimorph of jacobsite. Accordingly, iwakiite and jacobsite are regarded as polymorphs. Since jacobsite was discovered earlier than iwakiite, the former name is retained. Tetragonal “iwakiite” is hence referred as jacobsite-Q.

Similar arguments apply to the natural (Zn,Mn)-ferrite (Bailadores region, Mérida, Venezuela), refined by Marcano et al. (1996) in the space group I41/amd. Its chemical composition (Zn0.75Mn0.75Fe1.50O4) can be converted to the structural formula T(Zn0.75Mn0.252+)Σ1.00M(Mn0.502+Fe1.503+)Σ2.00O4, which leads to the end-member ZnFe23+O4. Because of the tetragonal symmetry due to the Jahn-Teller effect of MMn3+, this mineral can be considered as a tetragonal dimorph of franklinite, and thus termed as franklinite-Q.

“Hydrohetaerolite”, discredited as corresponding to hetaerolite

Hydrohetaerolite was listed as a valid species in the IMA List of Minerals with the formula HZnMn1.73+O4. It was first reported by Palache (1928) as a hydrous counterpart of hetaerolite, ZnMn23+O4. McAndrew (1956) showed that the X-ray powder pattern of hydrohetaerolite is consistent with the tetragonal space group I41/amd (a = 5.73 Å, c = 9.00 Å, Z = 4), and pointed out the presence of cation vacancies. No structural data have been presented for hydrohetaerolite. As water should occur as (OH)1– in the spinel structure (e.g., Lenaz et al., 2008), the formula of hydrohetaerolite can be recalculated by taking into account cation vacancies and (OH) groups. Thus, for example, the chemical formula HZnMn1.63+0.4O4, proposed by McAndrew (1956) for a sample from Leadville (Colorado, USA), can be rearranged as ZnMn1.63+0.4[O3(OH)]. Meisser & Perseil (1993) reported three chemical analyses of hydrohetaerolite from the Chez Larze Mine, Mont Chemin (Valais, Switzerland), containing 4-6.3 wt% H2O, resulting in the formula H1.27(Zn0.68Cu0.032+)(Mn1.683+Si0.05)O4, which can be rearranged as (Zn0.68Cu0.032+)0.56(Mn1.683+Si0.05)[O2.73(OH)1.27].

All these formulae are consistent with the end-member ZnMn2O4 because the dominant anion is always O2– (> OH) and Mn3+ > (Zn+Cu)2+ > □. Therefore, “hydrohetaerolite” is discredited as corresponding to (OH)-bearing hetaerolite.

“Ferrorhodsite”, discredited as corresponding to cuprorhodsite

The chemical formula of ferrorhodsite was reported as FeRh2S4 in the IMA List of Minerals. Ferrorhodsite was described as the Fe analogue of cuprorhodsite, with empirical formulae (Fe0.57Cu0.42)Σ0.99(Rh1.72Ir0.23Pt0.05)Σ2.00S4 and (Fe0.52Cu0.48Ni0.03)Σ1.03(Rh1.67Pt0.16Ir0.13)Σ1.96S4 (Rudashevsky et al., 1998). However, these formulae lead to the ideal formula of cuprorhodsite (Cu0.51+Fe0.53+)Rh3+S4.Therefore, ferrorhodsite is discredited as corresponding to cuprorhodsite, with a slightly different Fe/Cu atomic ratio. As cuprorhodsite was described earlier than “ferrorhodsite”, the former name is retained.

Applying the nomenclature of the spinel supergroup: some examples

For classification purposes, each spinel-supergroup species is identified by the chemical formula AB2X4. Once the chemical composition of a mineral has been established, it can be placed in the oxy-, thio- or seleno-spinel group. The dominant primary parameter B defines the subgroup and, along with the secondary parameter A, is used to identify the species. In detail, the following systematic procedure for naming spinel-supergroup species is suggested:

  • Identify the group by the composition of X.

  • Identify the most abundant constituent B by summing the ions for each valence: e.g., ΣR2+ = (Mg2+ + Fe2+ + Mn2+) > 1.5 apfu leads to B2+, whereas ΣR3+ = (Cr3+ + Fe3+ + Al3+) > 1.0 apfu leads to B3+.

  • Identify the subgroup by the constituent B: e.g., for B3+R3+ > 1.0 apfu) the species belongs to subgroup 2-3 (A2+B23+O4); for B2+R2+ > 1.5 apfu) the species belongs to the subgroup 4-2 (A4+B22+O4). Alternatively, the ΣR3+R2+ ratio can be used to identify the subgroups: it varies from 0 to 2/3 for spinel 4-2, and from 2/3 to 2 for spinel 2-3.

  • Once the valence of B is established, the dominant B-cation and subsequently the dominant A-cation are identified according to the dominant-constituent rule, in which heterovalent pairs of ions (or ion and vacancy) have to be considered for classification purposes.

Some examples referring to the oxyspinel group are given below, including synthetic spinels because they provide instructive examples.

Example 1. Bosi et al. (2009) reported a synthetic spinel (sample FeTi30A) with chemical formula (Fe1.462+Fe1.083+Ti0.464+)Σ3.00O4. Such a composition is very close to the boundary between magnetite and ulvöspinel (Ti0.5Fe1.03+Fe1.52+O4) and has ΣR3+ = Fe3+ > 1.0 apfu, and ΣR2+ = Fe2+ < 1.5 apfuR3+R2+ = 0.74). Thus, B is 3+ and the species belongs to the subgroup 2-3: (A2+B23+O4). As the dominant B-cation is Fe3+ and the dominant A-cation is Fe2+, the composition (Fe1.462+Fe1.083+Ti0.464+)Σ3.00O4 leads to the ideal formula A(Fe2+)B(Fe3+)2O4, i.e., magnetite.

Example 2. Similarly, sample FeTi50Bb (Bosi et al., 2009) is characterized by 1.59 Fe2+, 0.80 Fe3+, 0.03 Al3+ and 0.59 Ti4+apfu, with ΣR3+ (= Fe3++Al3+) = 0.83 apfu (<1 apfu) and ΣR2+ = Fe2+ > 1.5 apfuR3+R2+ = 0.52). Thus, B is 2+ and the species belongs to the subgroup 4-2: A4+B22+O4. As the dominant B-cation is Fe2+ and the dominant A-cation is Ti4+, the empirical composition (Fe1.592+Fe0.803+Al0.033+Ti0.594+)Σ3.00O4 leads to the ideal formula A(Ti4+)B(Fe2+)2O4, i.e., ulvöspinel.

Example 3. Lenaz et al. (2011) reported a natural spinel from the Rum Layered Suite, NW Scotland (sample RumBAn2), with chemical formula T+M(Fe0.902+Mg0.14Ni0.01Mn0.01Fe0.763+Cr0.71Al0.38V0.02Ti0.07)O4. The sum of trivalent cations ΣR3+ (= Fe + Cr + Al + V) is 1.87 apfu, and the sum of divalent cations ΣR2+ (= Fe + Mg + Ni + Mn) is 1.07 apfu. As ΣR3+ > 1.0 apfu, and ΣR2+ < 1.5 apfuR3+R2+ = 1.75), the sample belongs to subgroup 2-3. Because the dominant R3+ cation is Fe3+ (= B) and the dominant R2+ cation is Fe2+ (= A), the species is identified as magnetite.

Example 4. Oktyabrsky et al. (1992) reported chemical analyses of spinels rich in Mg, Fe, and Ti from Kondyor, Russia. Their analysis #3 corresponds to the following chemical formula: (Fe0.042+Mg1.37Mn0.072+Fe0.883+Al0.17Ti0.47)O4. As the sum of trivalent cations ΣR3+ (= Fe + Al) is 1.05 apfu (>1.0 apfu) and the sum of divalent cations ΣR2+ (= Fe + Mg + Mn) is 1.47 apfu (<1.5 apfu) (ΣR3+R2+ = 0.72), this sample belongs to subgroup 2-3. The dominant R3+ cation is Fe3+ (= B) and the dominant R2+ cation is Mg2+ (= A), thus the species is identified as magnesioferrite, although the proportion of end-member components indicate that TiMg2O4 (45.5%) > MgFe23+O4 (44.0%). Similarly, Mitchell (1995) reported representative compositions of spinels from the Besterskraal, Sover North, and Pniel orangeites. Based on the dominant-end-member approach, analysis #1 (Table 2.27 of Mitchell, 1995) was identified as chromite: FeCr2O4 (42.6%) > MgCr2O4 (39.4%) > MgAl2O4 (6.6%) > FeFe2O4 (5.7%) > Mg2TiO4 (3.9%) > MnCr2O4 (1.9%). However, the corresponding chemical formula, (Fe0.482+Mg0.53Mn0.022+Fe0.083+Al0.13Cr1.73Ti0.03)O4, is consistent with magnesiochromite as the dominant R3+ cation is Cr (= B) and the dominant R2+ cation is Mg2+ (= A).

Although the subdivision of a mineral composition into end-member proportions is an important step for application of thermodynamics to mineral systems, the two spinel compositions mentioned in Example 4 show that identifying a mineral species on the proportion of end-member components may be ambiguous and should not be applied to mineral nomenclature (Bosi, 2018).

Acknowledgements

We are grateful to the IMA-CNMNC members for their suggestions on the nomenclature proposal, and to the CNMNC vice-chairman (F. Hatert) for handling the whole procedure. We thank M.E. Ciriotti, for his help in finding mineral species related to spinel, A.R. Chakhmouradian and an anonymous reviewer for their helpful comments.

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