The Atomic Arrangement of Cr-rich Tourmaline from the #1 Mine, Balmat, St. Lawrence County, New York, USA

Abstract

Chromium-bearing tourmalines are rare. Chromium-rich tourmaline from the northwestern part of the Adirondack Mountains in the Adirondack Lowlands is among the most chromium-rich tourmalines found to date. The mineral, with >21.0 wt. % Cr₂O₃, is from the marble-hosted talc–tremolite–cummingtonite schist in the #1 mine in Balmat, St. Lawrence County, New York. The atomic arrangement of the sample (a = 16.0242(3) Å, c = 7.3002(2) Å) was refined to R1 = 0.0139. The composition, from chemical analyses and optimization of the formula, is ^X(Ca_0.22Na_0.69K_0.01) ^Y(Cr³⁺_1.68Mg_0.80Ti_0.13V_0.06Mn_0.02Fe_0.02Li_0.29) ^Z(Al_3.11Cr³⁺_1.18Mg_1.70Fe_0.01) ^T(Si_5.93Al_0.07) B₃O₂₇ OH_3.99 F_0.01. There has been extensive debate over the ordering of Cr³⁺ between the tourmaline Y and Z octahedral sites. Recent work has suggested that, at low concentrations (<~1.03 apfu), the substituent Cr³⁺ is ordered into the Y-site, whereas, at greater concentrations, the substituent is disordered over both octahedral sites. An analysis of nine recently published, high-precision structures of chromium-bearing tourmaline, in combination with the Adirondack tourmaline, suggests that structural changes to the Y-site at low concentrations of Cr³⁺ induce changes in the Z-site that make it more amenable to incorporation of the Cr³⁺ substituents by increasing <Z–O>. The bond lengths change to lower the bond-valence sum of Cr³⁺ in the Z-site of the chromium-dravite, making that site more amenable to the substituent. Calculations suggest that the Z-site begins to accept substituent Cr³⁺ when the bond valence sum of that ion in Z reduces to a value of ~3.36 valence units.

1. Introduction and Geologic Setting

Tourmaline is among the last major silicate minerals to have the details of its atomic arrangement elucidated, and the last 20 years have seen a major effort in unraveling the crystal chemistry of the phase. Because of the variety of cation sites ((X-O9) polyhedron, (Y-O6) and (Z-O6) octahedra, and (T-O4) tetrahedron), tourmaline incorporates a wide variety of substituent elements, and chromium is among them. Cr-bearing tourmaline is relatively rare, but samples with up to ~36 wt. % Cr₂O₃ have been found. A recent paper [1] detailed the major localities and provided new insight into the atomic ordering of substituent Cr, and substituent Cr in tourmaline has been the subject of recent studies [2,3].

In this work, we examined a purported chromium-dravite crystal from marble-hosted talc-tremolite-cummingtonite schist in the #1 mine in Balmat, St. Lawrence County, New York. The mineral was previously described [4], sans crystal structure, and the authors provided the geological context and chemical analysis for the phase. Here, we report the atomic arrangement of Al-rich chromium-dravite described in that work. The reported high-precision structure refinement allows additional elucidation of cation ordering in the phase.

A note is in order on the mineral nomenclature used in this work. In the original work on this tourmaline [4], the authors labeled the phase an Al-rich chromium-dravite. This name was applied without the benefit of a structure analysis and before the more recent proffering of a revised tourmaline nomenclature [5]. The structure described herein is shown to have significant Cr in both the Y and Z crystallographic sites, with Cr dominant in the Y-site. Indeed, in the description of type oxy-chromium-dravite [6], investigators demonstrated that Cr³⁺ was dominant in both the Y and Z tourmaline sites. It is of interest that previous authors [1] suggested that the definition of chromium-dravite requires revision to reflect the dominance of Cr in both the Y and Z sites, as noted in type oxy-chromium-dravite [6].

The geologic setting of the New York State chromium-bearing tourmaline has been described in detail [4]. The following brief section is based on that work, and the reader is referred to that paper for further details of the geology. The sample was obtained from the northwestern part of the Adirondack Mountains in the Adirondack Lowlands. The Lowlands are comprised of two distinct formations, the Upper and Lower Marble Formations, both units having a NW–SW trend. The Upper Marble Formation is characterized by the sequences of shallow water carbonates, evaporites and talc-tremolite-cummingtonite schist. In general, tourmaline is found in the alternating layers of calcitic marbles and talc-tremolite-cummingtonite schists [7,8,9]. The sample analyzed in this paper occurs in a tremolite pod within this formation at the #1 Mine located in Balmat, St. Lawrence County, New York. The chromium-dravite crosscuts the pre-existing foliation, which appears as light- to dark-green in tremolite-quartz rock while also appearing in dark-green patches. The chromium-dravite crystals associated with tremolite are 0.1 to 0.5 mm in dimension, whereas chromium-dravite crystals less than 0.1 mm are typically found as quartz or phlogopite inclusions. The Lower Marble Formation is comprised of dolomitic marbles, calc-silicates, quartzites, gneisses, and tourmalines [10].

2. Methods

The X-ray diffraction data on the New York chromium-dravite were collected with a Bruker Apex II CCD single-crystal diffractometer (Bruker, Madison, WI, USA) using graphite-monochromated Mo Kα radiation. The data were collected for a redundant sphere of reciprocal space (average redundancy ≈ 9.75) and were integrated and corrected for Lorentz and polarization factors and absorption using the Bruker Apex2 package of programs. The atomic arrangement was refined in space group R3m on F², with SHELXL-97 [11] using neutral-atom scattering factors and full-matrix least-squares, minimizing the function Σ w(F_o² − F_c²)² with no restraints. All non-hydrogen atoms were refined with anisotropic temperature factors, an extinction coefficient was also refined. The hydrogen atom associated with the O3 site was easily located by difference maps and refined without constraint. The H atom associated with O(H)1 was also located, but site refinement demonstrated that there were 0.32(12) H atoms in that site, and the veracity of the refinement of 1/3 of a H atom is not considered viable, and thus not included in the refinement. Occupancy of the X-site was modeled with Na scattering factors, as that is the dominant occupant of the X site. Because of the substantial ^XCa, as well, the occupancy of that site, when modeled with Na scattering factors, is >1.0, as expected.

The New York chromium-dravite had originally been described, without structural data, as having all Cr ordered into the Z-site alone. Initial refinements, however, demonstrated that the occupants of the tourmaline Y site had greater scattering power than Mg alone and the occupants of the tourmaline Z site had greater scattering power than Al alone. Because of the dominant octahedral occupants of Mg–Al–Cr in the sample, it was evident that Cr was a substituent in both the Y and Z octahedral sites. Final refinement was thus undertaken with Mg and Cr occupying the Y site, with the constraint (Mg + Cr) = 1, and Al and Cr occupying the Z site, with the constraint (Al + Cr) = 1.

The details of crystal data, data collection, and structure refinement are summarized in

Table 1. Sample and crystal data for NY chromium-dravite.

Space group	R3m
Unit cell dimensions	a = 16.0242(3) Å
	c = 7.3002(2) Å
Volume	1623.37(8) Å3
F(000)	1545
Theta range	2.54° to 33.00°
Index ranges	−23 ≤ h ≤ 24, −24 ≤ k ≤ 24, −11 ≤ ℓ ≤ 10
Reflections	11,837
Independent reflections	1438 [Rint = 0.0215]
Refinement method	Full-matrix least-squares on F2
Refinement program	SHELXL-2014/7 (Sheldrick, 2015)
Function minimized	Σw(Fo2 − Fc2)2
Data/restraints/parameters	1438/0/94
Goodness-of-fit on F2	1.080
Final R indices	1422 data; I > 2σ(I)
	all data
Weighting scheme	w = 1/[σ2(Fo2) + (0.0191P)2 + 0.5287P] where P = (Fo2 + 2Fc2)/3
Extinction coefficient	0.0000(1)
Largest diff. peaks	0.369 and −0.313 eÅ−3

, and atomic positions and equivalent isotropic displacement parameters are given in

Table 2. Atomic coordinates and equivalent isotropic atomic displacement parameters (Ų) for N.Y. chromium-dravite. U(eq) is defined as one-third of the trace of the orthogonalized U_ij tensor.

Atom	x/a	y/b	z/c	U(eq)	Occ.
NaX	0	0	3/4	0.0112(4)	Na1.27(3)
Si	0.80930(3)	0.81101(3)	0.9755(2)	0.00579(11)	Si1.00
B	0.89016(10)	0.78032(19)	0.5218(4)	0.0075(4)	B1.00
CrY	0.87614(3)	0.93807(2)	0.3381(2)	0.00587(15)	Cr0.588(6)Mg0.412
AlZ	0.70206(3)	0.73811(3)	0.3651(2)	0.00620(11)	Al0.782(3)Cr0.218
O1	0	0	0.2074(4)	0.0081(5)	O1.00
O2	0.93967(6)	0.87933(13)	0.4896(3)	0.0094(3)	O1.00
O3	0.74056(14)	0.87028(7)	0.4644(3)	0.0118(3)	O1.00
H3	0.749(4)	0.8744(18)	1.577(7)	0.054(16)	H1.00
O4	0.90761(7)	0.81522(14)	0.9037(3)	0.0113(3)	O1.00
O5	0.81814(14)	0.90907(7)	0.8839(3)	0.0108(3)	O1.00
O6	0.80721(9)	0.81648(9)	0.1954(3)	0.0090(2)	O1.00
O7	0.71637(9)	0.71698(8)	0.8994(3)	0.0105(2)	O1.00
O8	0.79206(9)	0.73157(9)	0.5360(3)	0.0117(2)	O1.00

, bond lengths are shown in

Table 3. Selected bond lengths (Å) in New York chromium-dravite.

Na(X)-	Distance
O2 (×3)	2.533(2)
O5 (×3)	2.7065(19)
O4 (×3)	2.799(2)
Mean	2.680
B-	Distance
O8 (×2)	1.3653(18)
O2	1.394(3)
Mean	1.375
Al(Z)-	Distance
O8	1.9330(13)
O7	1.9457(13)
O8	1.9493(14)
O6	1.9580(13)
O7	1.9828(13)
O3	2.0211(9)
Mean	1.964
Si-	Distance
O7	1.5979(12)
O6	1.6089(14)
O4	1.6295(8)
O5	1.6473(9)
Mean	1.621
Cr(Y)-	Distance
O1	1.9659(15)
O6 (×2)	1.9872(13)
O2 (×2)	2.0256(12)
O3	2.0951(19)
Mean	2.014

. A list of observed and calculated structure factors and Crystallographic Information File (CIF) (in Supplementary Materials) for the structure may be obtained as noted subsequently.

Subsequent to the structure analysis, the studied crystal was submitted for electron microprobe analysis. Data were obtained using a Cameca SX 100 at Rensselaer Polytechnic Institute, Troy, NY, USA. The crystal was mounted in epoxy and polished. Six spots were analyzed on that crystal, using accelerating voltage of 15 Kev, beam current 20 nA and beam diameter 4 microns. The results of the chemical analysis (average of six analyses), range of analyses, and standards used in the analysis are given in

Table 4. Electron microprobe results of structure crystal.

Oxide	wt. %	Range	Standard
SiO2	34.72	34.40–35.01	kyanite
TiO2	0.97	0.90–1.10	rutile
Al2O3	15.85	15.61–16.20	kyanite
Cr2O3	21.08	20.60–21.60	chromite
V2O3	0.33	0.27–0.38	V2O5
B2O3 *	10.18	NA	NA
FeO	0.15	0.09–0.22	Syn Fayalite
MgO	9.87	9.70–9.98	P140 forsterite
CaO	1.19	1.12–1.26	Di2Ti **
MnO	0.06	0.04–0.07	P140 forsterite
Na2O	2.09	1.99–2.21	jadeite
K2O	0.05	0.05–0.07	OR-1 ***
Li2O *	0.47	NA	NA
F	0.02	0.01–0.04	topaz
H2O *	3.50	NA	NA
O=F	0.01
Total	100.54

* Calculated by stoichiometry. Empirical formula (calculated using spreadsheet developed by Julie Selway and Jian Xiong, unpublished data): ^X(Ca_0.22Na_0.69K_0.01) ^Y,^Z(Al_3.12Cr_2.85Mg_2.51Li_0.31Ti_0.13V_0.05Fe_0.02Mn_0.01) ^T(Si_5.93Al_0.07) B₃O₂₇OH_3.99F_0.01. ** Ti-doped diopside glass, Geophysical Laboratory, Washington, DC, USA. *** K-feldspar standard, Geophysical Laboratory, Washington, DC. NA = not analyzed.

.

3. Results and Discussion

Earlier authors undertook a detailed study on ion substitutions and structural adjustments in Cr-bearing tourmalines [1]. Those authors note that Cr-bearing tourmalines are relatively uncommon, as they will only crystallize in the rare geochemical environments that are rich in B and Cr. In a review of previous studies of Cr-bearing tourmalines as well as the addition of new high precision studies, they asserted that substituent chromium in chromium-dravite occupies the Y site until a concentration threshold is reached, at which point Cr begins to disorder and occupy both the Y and Z sites. They propose a threshold Cr concentration value of 1.03 ± 0.27 apfu as the point at which disorder commences. We utilize high-quality refinements of the Cr-bearing tourmalines from [1,12] as well as the atomic arrangement of the tourmaline described herein to explore the structural properties and place the New York chromium-dravite in the context of other chromium tourmalines, yielding 10 high-precision structures for comparison.

For those 10 chromium-tourmaline samples, Figure 1 depicts the relationship between the average Z–O bond distance (<Z–O>) in the Cr-bearing tourmalines and the total amount of substituent Cr incorporated in the atomic arrangement. As noted there, there is a positive correlation between structural substituent apfu Cr and <Z–O> (R² = 0.9877) even when the substituent Cr is incorporated in the Y site as opposed to the Z site. This relationship was also noted by [1]. Thus, the incorporation of ^YCr induces changes in the Z polyhedron such that the Z polyhedron size increases. The polyhedron distortions in tourmaline were detailed by [13], who noted that the Y site occupancy greatly influences the properties of the Z site with which it shares edges.

Despite the <Z–O> expansion with the ^YCr addition, the Z site in tourmaline is not amenable to Cr incorporation at low substituent concentrations. The covariance of the Z-site bond valence sum (BVS) for Cr³⁺ as a function of Cr apfu is displayed in Figure 2. At low values of substituent Cr, when all the substituent occupies the Y-site, the BVS for Cr in the Z-site is large relative to the formal valence of Cr³⁺, with the overbonding effectively excluding Cr from that site.

As noted in the previous discussion of Figure 1, changes induced by Cr in the Y-site change the average bond length in the Z-site. Figure 2 demonstrates that the Cr substituent not only changes the <Z–O>, but those changes in bond lengths also enhance the BVS for a Cr substituent in Z (R² = 0.9915). Figure 2 also denotes the concentration threshold of 1.03 (±0.27 apfu), which marks the concentration when Cr begins to occupy the Z-site. At that concentration value, the BVS for a Cr substituent in the Z-site is 3.36 valence units (vu). At that value of BVS, Cr at the Z-site would be overbonded, marking a site of lattice strain, but Cr is nonetheless accommodated in the Z-site. Disorder of the coordinating oxygens may also relieve some overbonding. Thus, the locus of the substitution of the Cr in octahedral sites in tourmaline is a function of the bonding environment to that substituent, which allows substitution in the Y-site at low concentrations and both the Y- and Z-sites at higher concentrations because of the modification of the bonding environment of Cr³⁺ at that latter site.

Finally, an optimization of the Y- and Z-site octahedral site occupants was undertaken using the crystal structure refinement results, the chemical analysis of the structure crystal, and program OccQP of [14]. The site refinement sites yielded ^Y(Cr³⁺_1.68Mg_0.80Ti_0.13V_0.06Mn_0.02Fe_0.02Li_0.29) ^Z(Al_3.11Cr_1.18Mg_1.70Fe_0.01), demonstrating that Cr occupies both octahedral sites, confirming recent high-quality structure studies of chromium-dravites with higher amounts of Cr [1,6,12]. By combining the optimization of the octahedral sites with the chemical analysis, the structural formula of ^X(Ca_0.22Na_0.69K_0.01) ^Y(Cr³⁺_1.68Mg_0.80Ti_0.13V_0.06Mn_0.02Fe_0.02Li_0.29) ^Z(Al_3.11Cr_1.18Mg_1.70Fe_0.01) ^T(Si_5.93Al_0.07) B₃O₂₇ OH_3.99 F_0.01 is attained. In the presentation of the IMA-approved tourmaline nomenclature by [5], the tourmaline with Cr dominant in Y and Al dominant in Z with, ideally, ^Z(Al₄Mg₂), is chromo-alumino-povondraite, which has ideal octahedral occupants of ^Y(Cr₃)^Z(Al₄Mg₂) and (OH)₃ and O in the V and W tourmaline sites, respectively. If OH is dominant in the W site of the present sample (although that occupancy is indeterminate, see previous discussion of the tentative refinement of the H occupancy associated with the W site), it is a new tourmaline species. However, comparison of the Cr-bearing tourmaline of this study and that of [4], from the same mine, demonstrates a large range in Cr composition as well as other elements, illustrating large compositional variability in the tourmalines from the Balmat #1 mine. An extensive study of the Cr-rich tourmalines to define new species and investigate the compositional variability of the tourmalines of the mine is warranted.