Mineralogical Magazine, June 2005, Vol. 69(3), pp. 345±358 Hydrogen and minor element incorporation in synthetic rutile 1,2, G. D. BROMILEY 1 2 3 * AND 3 N. HILAIRET Bayerisches Geoinstitut, Universita Èt Bayreuth, 95440 Bayreuth, Germany Department of Earth Sciences, University of Cambridge, Downing Street, Cambridge CB2 3EQ, UK Laboratoire de Sciences de la Terre, ENS-Lyon, 46 Allee  d'Italie, 69364 Lyon, Cedex 07, France ABSTRACT The solubility and incorporation mechanisms of H and various trivalent and divalent cations in synthetic rutile have been investigated. Experiments performed using different bulk Fe 2O3 contents demonstrate that Fe 3+ substitutes onto the main Ti site, charge-balanced by oxygen vacancies. Under more reducing conditions in Fe-poor systems, the concentration of Ti interstitials in rutile is increased, resulting in a decrease in H solubility. Variation in the solubility of different oxides in rutile as a function of ionic radius implies substitution onto the main Ti site, probably charge-balanced by oxygen vacancies. To a lesser degree, substitution of trivalent and divalent cations is locally charge-balanced by H incorporation. Variation in OH-stretching frequencies in infrared spectra as a function of composition implies that octahedral defects and structurally-incorporated H are coupled. However, in all samples, some of the H is also decoupled from substitutional impurities, as is evident from an OH-absorption band at 3279 cm ÿ1. This band corresponds to the main OH band seen in spectra of many natural rutiles, implying that in most rutiles, H defects are decoupled from substitutional defects. K EYWORDS : rutile, hydrogen, substitution, solubility, spectroscopy. Introduction (Johnson et al., 1968). Studies of natural rutiles RUTILE is the most common, naturally occurring from form of titanium oxide (TiO2), and is an accessory demonstrated mineral in many igneous and metamorphic rocks. hydrogen incorporation, and rutile is one of the In high-pressure and ultra-high-pressure eclogites, most modal percentages of rutile may reach sever- (NAMs) so far identi®ed (Rossman and Smyth, al wt.%. Rutile has a simple tetragonal structure, 1990; Vlassopoulos et al., 1993). with each Ti the 4+ corners octahedron, 4+ three Ti ion surrounded by six oxygens at of a and slightly each distorted, oxygen regular surrounded by ions lying in a plane at the corners of various geological the `hydrous' great terrains af®nity have of also rutile nominally-anhydrous for minerals Rutile is also a useful solid material because of its diverse physical photochemical optical properties function. properties of The reduced, and unique electronic synthetic and rutile an approximately equilateral triangle (Deer et al., and its defect structures have been the subject of 1992). Rutile can contain variable amounts of a considerable amount of research in the ®elds of 5+ 5+ 3+ 3+ , applied physics, solid-state chemistry and mate- ) rials science (Lu et al., 2001). Rutile, therefore, cations. Coupled substitution of pentavalent and provides a useful model system for investigating pentavalent (Nb Cr 3+ , Ta ), trivalent (Fe ) and, to a lesser degree divalent (Mg trivalent cations onto Ti neutrality. valence In addition, cations may 4+ , Al 2+ 2+ , Ca sites maintains charge substitution be of lower- charge-balanced by incorporation of hydrogen in the rutile structure the incorporation of coupled lower-valence cations and hydrogen in NAMs. In addition, the system TiO2 provides a lower-pressure analogue for understanding the SiO2 system: rutile is isostructural with stishovite, and investigation of hydroxyl incorporation in rutile could provide * E-mail: [email protected] useful constraints on the importance of hydroxyl DOI: 10.1180/0026461056930256 incorporation in stishovite (Smyth et al., 1995). # 2005 The Mineralogical Society G. D. BROMILEY AND N. HILAIRET Experimental method determined (EMPA). Sample synthesis mounts by electron Samples and microprobe were analysed using a analysis as grain Cameca SX50 Several samples of rutile doped with various electron trivalent and divalent cations were synthesized at 15 nA, using the following standards: MnTiO 3 2.0 GPa, 1100ëC under water-saturated conditions (Ti), gallium arsenide (Ga), chromium metal (Cr), to and wollastonite (Ca), spinel (Al), enstatite (Mg), were hematite (Fe). A count time of 20 s was used for TiO 2 each element. investigate coupled lower-valence prepared cations. from substitution Starting high-purity of H mixes oxides: microscope prepared operating at 15 kV and (99.998%), Fe2O3 (99.998%), Al2O3 (99.99%), Cr 2 O 3 (99.999%), (99.99%), and Ga 2 O 3 CaO (99.99%), (99.9%). Two MgO series of Infrared spectroscopy synthesis experiments were performed. In the Near-infrared (NIR) spectroscopy was used to ®rst series of experiments, starting mixes of pure investigate TiO2, and TiO2 with 1.0, 2.0 and 5.0 wt.% Fe2O3 synthetic samples. were prepared by weighing out 3 g of the starting obtained using mixture, and then grinding the mixture under resolution ethanol in an automated pestle and mortar for at Bruker IR microscope containing all-re¯ecting least 2 h. In the second series of experiments, Cassegranian optics. The spectrometer contains a starting mixes were prepared from TiO2 with permanently aligned Michelson-type interferom- 5 wt.% Al2O3, Cr2O3, Ga2O3, MgO and CaO eter with a 30ë angle of incidence on the beam- using the same method. Starting mixes for all splitter. experiments were loaded into 10 mm long, 5 mm tungsten light source, a Si-coated CaF2 beams- diameter Pt capsules a in Bruker IFS 120 HR spectrometer coupled Measurements were taken the were high- with using a a water. plitter and a narrow-band MCT detector. Up to 400 scans were acquired for each spectrum with a sleeves and loaded into Ý inch talc-pyrex piston- resolution cylinder sample assemblies. These sample assem- recorded using a wire-strip polarizer on a KRS-5 blies substrate. The optics of the microscope were an internal, 10 wt.% FTIR incorporation Infrared (IR) spectra Capsules were welded shut, placed in pyrophyllite contained with hydroxyl tapered, graphite of 1 cm ÿ1. Polarized spectra were resistance furnace to ensure minimal temperature purged with H2O- and CO2-free, puri®ed air gradients along the length of the capsule. Full during details of pressure and temperature calibration spectrometer were kept under vacuum to prevent and accuracy are given in Bromiley and Keppler absorption bands caused by water vapour. The (2004). Experiments were pressurized to within FTIR absorption spectra were only obtained from 90% of the desired run pressure and then heated at optically clear areas of crystals, using a variable 100ëC/min to 1100ëC, before being fully pressur- rectangular aperture in the rear focal plane of the ized. Pressure and temperature were continually 15 monitored and maintained throughout the runs. placed on CaF2 plates and immersed in poly- Runs were isobarically quenched by turning off trichloro¯uoroethylene oil to prevent the occur- power to the heating circuit whilst maintaining rence of interference fringes. Crystal sizes for run pressure. Recovered capsules were weighed, samples ranged from 30 to 500 pierced and placed in a drying oven, and then samples, polarized spectra could be obtained from reweighed to check for the presence of water. In optically aligned crystals. However, for other all experiments water was seen escaping from samples, crystals were too small to be aligned. capsules when pierced. Therefore, for all samples, water contents were 6 measurements, Cassegranian and the objective. m optics of Samples the were m, and for some determined using unpolarized radiation. The OH absorption bands in rutile, as in most NAMs, are Sample analysis highly anisotropic, with greatest absorption when Phases were identi®ed by micro-Raman spectro- the electric vector of the source radiation is scopy using published spectra for rutile (Goresy et polarized perpendicular to the crystallographic c al., 2001) and by powder XRD. Single crystals of axis (Vlassopoulos et al., 1993). Use of unpolar- all samples were placed on glass slides and ized radiation could, therefore, lead to inaccura- spectra obtained using a Dilor labram Raman cies in calculated water contents. To avoid this spectrometer equipped with a 20 mW HeNe laser possibility, spectra were obtained from a large and a microscope. Compositions of samples were number of crystals (typically ~20) in each sample, 346 HYDROGEN AND MINOR ELEMENT INCORPORATION IN RUTILE TABLE 1. Experimental details, results and composition of run products analysed by EMPA. Sample Bulk Run products Colour composition Wt.% Wt.% TiO2 additional Total oxide R1 TiO2 Rutile Dark blue RFe1 TiO2 + 1.0 Rutile + Dark yellow- wt.% Fe2O3 ilmenite brown RFe2 TiO2 + 2.0 Rutile + Yellow- wt.% Fe2O3 ilmenite brown TiO2 + 5 Rutile + Bright wt.% Fe2O3 ilmenite brown TiO2 + 5 Rutile + wt.% Al2O3 corundum TiO2 + 5 RFe3 RAl RMg ÿ ÿ . ÿ . . 99.88(10) 0.21(2) 100.09(21) 99.72(11) 0.33(3) 100.06(29) 97.22 (56) 2.69(9) 99.91(79) Pale blue 97.93(68) 1.96(15) 99.92(79) Rutile + geikielite Colourless 98.68(32) 0.82(2) 99.50(31) Rutile Red-brown 94.42(111) 4.92(82) 99.38(62) TiO2 + 10 Carmichaelite Dark red- 88.90(65) 10.88(42) 99.78(44) wt.% Cr2O3 (no rutile!) brown TiO2 + Rutile + Colourless 96.18(28) 3.92(12) 100.11(28) 5 wt.% Ga2O3 unknown phase* Colourless 99.61(11) 0.08(3) wt.% MgO RCr TiO2 + 5 wt.% Cr2O3 RCr2 RGa RCa TiO2 + 5 Rutile + wt.% CaO CaTiO3 perovskite 99.69(13) * XRD pattern of unknown (Ga-Ti oxide?) phase has peaks at d spacings of 3.604, 1.87 and 1.81. and water contents calculated from Table 2. Samples R1 to RFe3 were synthesized averaged spectra. Water contents were calculated from from integrated IR spectra using the Beer-Lambert law ranging from 0 to 5 wt.%. Several interesting starting mixtures with Fe 2O 3 on species absorption, and known IR integral features are noted from these experiments. Firstly, absorption coef®cients for rutile. Three different in all samples containing iron, additional amounts contents integral absorption coef®cients for rutile have been determined: (Johnson et (Hammer 38,000 al., 15,100Ô500 Lmol 1968), and ÿ1 ÿ2 Lmol cm 3270 Lmol ÿ1 cm ÿ2 ÿ1 cm ÿ2 Beran, 1991) (Maldener et al., TABLE 2. H contents (expressed as water contents) for synthetic rutile determined from NIR analysis. and 2001). The large disparities between these values are Sample largely the result of the different techniques used to independently calibrate absorption coef®cients and the nature of the samples used for the calibration. In this study, we use the calibration Integrated absorbance (cm ÿ2) Water content (ppm wt. H2O) R1 642 90Ô3 RFe1 951 134Ô4 302Ô10 RFe2 2152 of Johnson et al. (1973) because it was derived RFe3 6418 900Ô31 from a study of synthetic rutile and because it RAl 12671 1777Ô57 gives calculated water contents for rutile samples RMg closer to values derived using the general sample- RCr independent calibrations of Paterson (1982) and RCr2 Libowitzky and Rossman (1997). Fe3+ incorporation in synthetic rutile 5470 767Ô26 14078 RGa ÿ 1975Ô67 4946 694Ô23 RCa 0 0 1 ÿ Calculated using the integral absorption coef®cients The compositions of all run products determined for rutile of Johnson et al. (1973). Error on calculated by EMPA are listed in Table 1. Water contents value derived from error for integral absorption calculated coef®cient. from FTIR spectra are listed in 347 1 G. D. BROMILEY AND N. HILAIRET of an Fe-rich phase, ilmenite (FeTiO 3 ) are present. Iron was added to starting mixes as hematite (i.e. Fe 3+ ), thereby implying partial 3+ Fe substitutes for Ti octahedral Ti sample 4+ RFe3 4+ ; i.e. Fe 3+ is present on the site. The light colour of rutile in is, therefore, probably due to reduction of Fe during the experiments. The Fe electronic transitions in octahedrally co-ordinated content of increasing Sample the Fe rutile samples content RFe3, of synthesized 3+ increases with Fe starting mix. from sample RFe3 (Fig. 1) contain no broad the from a starting (Burns, 1993). The NIR spectra obtained absorption bands, implying an absence of Ti 4+ 3+ - mixture with 5 wt.% Fe2O3, has the highest Fe Ti content. The Fe content of this sample is, within RFe2 error, the same as the sample synthesized under absorption due to Ti the same P-T-H2O conditions in the study by rally coordinated Fe Bromiley et al. (2004a). The only difference in these synthesis between these samples is that Bromiley 6000 cm et al. (2004a) used Pt capsules lined with Re foil for sample R1. In fact, there appears to be a to prevent Fe-loss to the capsules during the marked experiment. No Re lining was used in the present absorption due to IVCT: increasing Fe content study to minimize differences in fO2 conditions in the synthetic rutile reduces the amount of Ti between different experiments. However, compar- Ti ison of the present results with those of Bromiley in industry, where small amounts of trivalent et al. (2004a) suggests that the use of Re foil has cation substitution (mainly Al an undetectable effect on Fe contents of rutile rutile samples. Iron contents of the samples RFe1 and giving rutile its desired brilliant white colour. It RFe2 (synthesized from starting mixes with 1.0 would and 2.0 wt.% Fe2O3, respectively) are consider- substitution has a similar effect. This effect can ably lower than sample RFe3 and also much be most easily explained by considering mechan- lower than the Fe content of the starting mixes for isms for trivalent cation substitution in rutile and these experiments. This is an interesting observa- the synthesis conditions of rutile samples in the tion because it implies that these samples are present study. Previous investigations of rutile under-saturated with respect to Fe. Long run times have demonstrated a number of mechanisms for were charge-balancing used during all experiments to attain 4+ IVCT. Rutile crystals in samples RFe1 and are yellow-brown samples ÿ1 3+ 3+ show in -Ti 4+ colour, implying IVCT and octahed- . The NIR spectra from some absorption around (Fig. 1), although markedly less than correlation between Fe content and 3+ - IVCT. A similar phenomenon is well known is used to appear suppress that at 3+ ) in nano-phase optical high trivalent absorption, pressure, cation Fe 3+ substitutions chemical equilibrium. During EMPA, no signs (Gesenhues and Rentschler, 1999). In natural of chemical zoning were noted in any rutile rutiles, substitution of trivalent cations can be samples, and so we assume that the Fe contents of compensated all samples represent equilibrium values. cations for Ti Another interesting feature of Fe-bearing by 4+ substitution (e.g. Fe 3+ of > pentavalent 5+ + Nb 4+ 2Ti ). However, in the present study, such mechanisms 3+ samples is the colour of the rutile crystals. In cannot operate. Alternatively, Fe sample R1 (Fe-free), rutile crystals are dark blue. could be charge-balanced by H This colour is characteristic of rutile samples The NIR spectra for samples shown in Fig. 1 grown or annealed under reducing conditions. In a contain sharp bands over the OH-stretching range detailed spectroscopic study, Khomenko et al. (4000 (1998) demonstrated that the colour of reduced, some structurally-incorporated H. However, as TiO2ÿx rutile is mainly due to intervalence charge can be seen in Tables 1 and 2, H contents of transfer (IVCT) on Fe-doped rutile are several orders of magnitude adjacent interstitial The lower than Fe contents, implying that another IVCT in rutile is evident from broad absorption mechanism is needed to compensate most of the in This Fe substitution in the samples. Alternatively, Fe absorption is seen in NIR spectra obtained from substitution could either be charge-balanced by rutile as a characteristic broad absorption band the coupled substitution of trivalent cations (either the optical between to and NIR centred around 6000 cm Ti 3+ and octahedral spectral ÿ1. Ti 4+ sites. range. Figure 1 shows NIR Fe 3+ ÿ2500 cmÿ ), or Ti 1 3+ implying + the substitution incorporation. presence of ) onto interstitial sites or by oxygen spectra of samples R1 to RFe3. In contrast to vacancies. A wealth of information is available on sample R1, sample RFe3 is light yellow in colour. defects present in reduced rutile (Lu et al., 2001), Mo È ssbauer rutile and there is abundant evidence indicating that (Bromiley et al., 2004a) showed that all Fe in both oxygen vacancies and Ti intersitials are spectra synthetic rutile is Fe from 3+ Fe -doped , and demonstrated that 348 present as stable defects. The experimental setup HYDROGEN AND MINOR ELEMENT INCORPORATION IN RUTILE FIG. 1. NIR spectra of rutile doped with increasing amounts of Fe 2O3 synthesized under water-saturated conditions at 2.0 GPa, 1100ëC. A horizontal baseline over the spectral range shown has been subtracted. Spectra offset vertically with increasing Fe content for clarity. Large and small divisions on the vertical scale represent 10 and 5 cm ÿ 1, respectively. used in this study produces slightly reducing Bromiley et al. (2004a) suggested that this was conditions for sample synthesis (presumably due the most likely mechanism for charge-balancing to the large graphite furnace used in the run Fe incorporation in rutile and its high-pressure assembly). Oxygen fugacity for the experimental form TiO2 (II) because Mo È ssbauer spectra from setup is estimated to be slightly lower than NNO both phases consisted of a single quadrupole (Bromiley et al., 2004b), as long as reaction of the doublet (due to octahedrally-coordinated Fe 3+ 3+ ), starting materials has only a limited in¯uence. Fe with no evidence noted for Fe substitution in rutile charge-balanced by oxygen more than one site. This observation is important, vacancies because although the main interstitial site in rutile would, therefore, appear possible. 349 occupancy of G. D. BROMILEY AND N. HILAIRET is octahedral, it is considerably more distorted than the regular Ti 4+ contents must be more reducing, because the _ defects in Fe-poor rutile implies presence of Tii site, and occupancy of both octahedral and interstitial sites by Fe 3+ should be TiO2 reduction. According to reaction 1, more detectable by Mo È ssbauer spectroscopy. However, reducing conditions would result in lower Fe2O3 this would not completely exclude the possibility contents in rutile, which is exactly what is seen in that a small amount of Fe 3+ in the synthetic rutile our experiments. This situation is probably further could also be present on the main interstitial site. complicated by the additional, minor effect of H Interstitial Ti provide 3+ an in samples RFe1 and RFe2 could incorporation in rutile, which implies breakdown additional of H2O. However, the overall effect of bulk Fe2O3 charge-balancing mechanism for Fe substitution. However, this is content on the Fe2O3 content of rutile and the a somewhat unsatisfactory conclusion to draw concentration of Tii because it does not fully explain why there is no suggests interstitial Ti 3+ _ that the defects in rutile strongly controlling factor in all in sample R3, and is inconsistent experiments is the fO2, which can be buffered at with the observed decrease in IVCT absorption higher values in Fe-rich systems relative to Fe- with increasing Fe content. To explain some of poor systems, because Fe2O3 in the starting mix the unusual features noted in these experiments, acts as a source for O2. In turn, this implies that we need ®rst to summarize what we know about Fe stable rutile charge-balanced by VOÇÇ rather than by interstitial samples, and what reactions must occur during cations. Unfortunately, Fe2O3 contents of samples the synthesis of Fe-bearing rutile. RFe1 and RFe2 were too low for investigation of defects present in the reduced Firstly, it has been demonstrated that reduced 3+ substitution for Ti 4+ in rutile is mainly _ Fe incorporation using Mo È ssbauer spectroscopy, in the Kro È ger-Vink notation), presumably some isms for Fe incorporation between samples RFe1 rutile (pure TiO2) contains interstitial Ti octahedral Ti 3+ / (TiTi ) and oxygen 3+ which might reveal any differences in mechan- (Tii and RFe2 compared to RFe3. Further attempts to vacancies _) as stable defects. For the present discussion (VO synthesize we will ignore the minor effect that H interstitials contents Fe-undersaturated >0.3 wt.% using rutile various with Fe additional (HiÇ) could have. In the Fe-doped samples we also solid oxygen buffers have been unsuccessful, have FeTi defects and possibly small amounts of probably due to the dominant in¯uence of the interstitial Fe (Fei bulk composition on prevailing oxygen fugacity / _). _ Tii are only present in during synthesis. samples RFe1 and RFe2, which also have lower Fe contents than might be expected. If we conclude that the main mechanism for chargebecause Fe is in octahedral coordination), then we H incorporation in rutile as a function of Fe2O3 content can assume that the Fe content of Fe-saturated As previously noted, all NIR spectra shown in rutile is a function of fO2. Therefore, the reducing Fig. 1 conditions of the experimental synthesis would implying the presence of structurally-incorporated / balancing FeTi are VOÇÇ (as decoupled defects, effectively govern the amount of Fe 3+ contain sharp OH-absorption bands, incorpo- H. These OH-absorption bands are shown in more rated. However, in the different synthesis experi- detail in Fig. 2. Spectra obtained from R1 (pure ments, several competing reactions must occur, TiO2) contain one absorption band at 3279 cm and these probably affect fO in turn. Presumably, implying the presence of H in one position in the Fe2O3 in the starting mixture reacts with TiO2 to rutile structure. Due to the absence of other form Fe-doped rutile, but must also be partly substitutional impurities, H incorporation in R1 is reduced and react with TiO2 to form ilmenite. We probably can Swope et al. (1995) re®ned the H position in a 2 write a simple equation to describe the equilibrium condition: by Ti 3+ reduction. natural, H-bearing rutile from neutron diffraction 2FeTiO3 + ÝO2 = Fe2O3 + 2TiO2 ilmenite charge-balanced ÿ1, rutiless (1) rutiless data, and demonstrated that H is incorporated in rutile close to (ÝÝ0), just off the shared O-O edge in where ss indicates solid solution of the compo- the octahedral chain. This assignment is consistent with published polarized IR spectra nents in rutile. In Fe-rich systems, reaction 1 from synthetic and natural rutile (Johnson et al., probably controls the fO2 in the capsule, buffering 1968; Vlassopoulos et al., 1993), where vibration it to a higher value than expected. In contrast, of the OH dipole is almost completely perpendi- experiments performed using low bulk Fe2O3 cular to the crystallographic c axis. In contrast to 350 HYDROGEN AND MINOR ELEMENT INCORPORATION IN RUTILE FIG. 2. OH-stretching region of the NIR spectra shown in Fig. 1 (vertical offset rescaled). Large and small divisions on the vertical scale represent 10 and 5 cm the R1 spectrum shown in Fig. 2, IR spectra obtained from saturated synthetic, rutile by high-pressure Khomenko et al. at 3279 respectively. associated with trivalent or divalent cations on the 4+ water- Ti (1998) implies that all the H present in sample R1 is contain two OH-absorption bands, a large band ÿ1 cm ÿ 1, octahedral site. If correct, this assignment decoupled from any Ti 3+ defects. (i.e. similar to the band in the Spectra obtained from rutile in samples R1 and spectrum from R1), and a smaller, additional band R2 contain two overlapping absorption bands, one at 3324 cm at 3279 cm ÿ1. This second absorption band has (similar to R1) and an additional rutile (e.g. Hammer and Beran, 1991) and shows probably due to H associated with Fe the same anisotropy as noted for the band at rities. Regardless of whether we assign the OH 3279 cm band at 3279 cm Based on the behaviour of these two 3295 cm ÿ1. band ÿ1. at ÿ1 also been noted in some other studies of synthetic This additional band 3+ is impu- ÿ1 to H associated with Ti3+ or H bands during annealing, Khomenko et al. (1998) unassociated with compositional impurities, the suggested that the band at 3324 cm shift of the additional (3295 cm H related to Ti 3379 cm ÿ1 3+ ÿ1 was due to / (i.e. TiTi ), whilst the band at was due to H unrelated to any Ti 3+ lower wavenumbers strongly effects. That is, H and Fe 3+ ÿ1) OH band to implies NNN probably form a defects. This assignment is in accordance with defect cluster, with the proton associated with an spectroscopic O surrounding a Ti octahedral site occupied by (Johnson et investigation al., 1968; of natural Vlassopoulos rutile et al., Fe 3+ / (i.e. FeTi ± HiÇ). From this we can conclude 1993); IR spectra of natural rutiles often contain that in the Fe-doped samples, a certain amount of a sharp absorption band at 3279 cm structurally incorporated H becomes coupled to ÿ1, and more / rarely, additional absorption bands at higher or Fe Ti lower decoupled, or wavenumbers. Johnson suggested that the band at 3279 to H not associated with any et al. ÿ1 cm (1968) was due compositional defects, and that other OH bands were due to H 351 defects, with the remaining conceivably coupled H with either / TiTi defects. Spectra obtained from sample R3 also contain 3295 the ÿ1 cm . Fe Ti / ± H iÇ absorption band at In the R3 spectrum in Fig. 2 this G. D. BROMILEY AND N. HILAIRET slightly amount of Cr2O3 as the starting mixture, possibly asymmetric. By comparing all the spectra in implying undersaturation. To determine whether Fig. 2, it can be seen that the 3295 cm band is broad and appears to be ÿ1 band in this was the case, we performed an additional this spectrum probably contains a shoulder at experiment, RCr2, using a starting mixture with 3279 cm 10 wt.% Cr2O3. In this experiment, the phase ÿ1, implying the presence of H not / / associated with FeTi , or H associated with TiTi . carmichaelite was synthesized, and no rutile was In the ®rst instance this would imply that even in present Fe-rich rutile, a considerable proportion of the H [MO2ÿx(OH)x, where M includes Ti, Cr, Fe, Mg remains decoupled from substitutional impurities, and which could have an important in¯uence on H described mobility and H diffusion in rutile. In the second 2000). Wang et al. (2000) describe an occurrence instance, the presence of an additional band would of carmichaelite in Garnet Ridge, Arizona, where imply it precipitated with its pyrope host and other the presence of reduced Ti only on in Al] the is a run products. hydrous (Wang et Carmichaelite, titanate al., 1999; only recently Wang et ÿ750ëC, al., octahedral sites and not on interstitial sites (i.e. titanates no absorption due to IVCT) in the Fe-rich sample, pressures of 2.0 and would imply that H solubility in the Fe-rich carmichaelite rutile sample is too great only to be compensated pressure and high Cr contents. This appears to / at temperatures ÿ2.5 GPa. is of 650 and They concluded that probably stabilized by high by FeTi defects. This last conclusion is somewhat be consistent with the results of experiments RCr problematic, because the Fe content of this and RCr2, with carmichaelite only stabilized with sample is several orders of magnitude higher than Cr contents above 5 wt.%. The temperature of 3+ / the H content, implying that isolated FeTi defects synthesis of experiment RCr2 demonstrates a high (which must be decoupled from VOÇÇ due to thermal stability for this phase. To our knowl- evidence are edge, this is the only reported synthesis of this intrinsically more stable than coupled FeTi ± HiÇ phase, and more work is required to determine its defects. stability from Mo È ssbauer spectroscopy) / One striking feature of the spectra shown in and possible signi®cance for mantle geochemistry. Fig. 2 is that the height of all OH absorption From Table 1 it can be seen that the solubility bands increases signi®cantly with increasing Fe of additional oxides in the rutile samples varies content of the samples. This implies that water considerably as a function of composition. For Fe- contents of the samples increase with increasing bearing samples a complex relationship between Fe content. Lower water contents in Fe-poor bulk composition and fO appears to have an effect samples are probably related to the presence of on Fe2O3 solubility in the samples. However, this interstitial Ti 3+ , which could quite conceivably 2 situation is not expected to be as complex for 3+ 2+ 3+ 3+ 2+ reduce H af®nity in the samples due to an increase Al in that cations only have one common oxidation state increasing H contents with Fe content do not in rock-forming minerals (except Cr, which may re¯ect the relative H af®nity of rutile due to be present as Cr differences between the H incorporation mechan- stances). The NIR spectra from all rutile samples O overbonding. It should be noted / / , Mg isms (i.e. FeTi ± HiÇ compared to HiÇ or TiTi ± HiÇ) except because both the bands at 3279 and 3295 cm absorption ÿ1 , R1, Cr , Ga 2+ RFe1 bands , Ca because these under exceptional circumand due RFe2 to show Ti 3+ -Ti no 4+ broad IVCT. show an increase in peak height with increasing However, in sample RAl, rutile crystals are very Fe content. pale blue. The colour of these crystals cannot be due details, run products and a crystal ®eld effect involving Al 3+ substitution because it has no electrons in d Solubility of minor elements in synthetic rutile Experimental to orbitals. More likely, this slight colouration is also the due to Ti 3+ -Ti 4+ IVCT, presumably below the compositions of rutile are listed in Table 1. In detection limit of the spectrometer. Likewise, Ga-, all experiments except RCr2, rutile was the main Ca- and Mg-bearing rutile crystals are colourless 3+ run product. In all experiments except R1 (pure due to a complete absence of Ti TiO2) and RCr, small amounts of an additional bearing rutile is dark red-brown, probably due to a phase were also present, implying saturation of crystal ®eld splitting effect involving Cr the rutile with respect to the additional oxides. In cation site (Burns, 1993), presumably Cr Ti . experiment RCr, no additional phase was present, and the rutile contains, within error, the same 352 . In contrast, Cr3+ on a / Figure 3 shows a plot of difference in ionic radii between various cations from that of Ti 4+ HYDROGEN AND MINOR ELEMENT INCORPORATION IN RUTILE ally put onto interstitial sites. However, the most important mechanism for incorporation of lowervalence cations in synthetic rutile is probably direct substitution for Ti 4+ (i.e. direct substitution onto the octahedral site in the rutile structure), charge-balanced by proton incorporation or oxygen vacancies. It is possible that to a much lesser degree trivalent cations are also present on interstitial sites. Lack of a noticeable deviation for Fe 3+ from the trend in Fig. 3 could imply that any change in Fe2O3 solubility due to self-buffering of fO is not large enough to be detected. Likewise, 2 ´ the presence of Tii in rutile in sample RAl does not alter Al solubility by a large enough degree to FIG. 3. Plot of difference in ionic radius (6-coordinated, octahedral sites) between cations used as additional oxides in the present study and Ti 4+ measured solubility in synthetic rutile. A clear trend is noted in the plot. With plot that with number to include of in Fig. 3. extension the trivalent However, of the solubility and of divalent it is present a larger cations in rutile, such deviations could be observed. 1100ëC. Values of ionic radius are listed in Table 2. their the possible dataset against solubility of oxides in the synthetic, water-saturated rutile at 2.0 GPa, against in¯uence Coupled H and minor element incorporation in synthetic rutile increasing difference in ionic radii, the solubility The NIR spectra obtained from synthetic rutile of the cation decreases. Such a relationship would doped with 5 wt.% additional oxides are shown in be expected for direct substitution of various Fig. 4. All spectra, except those obtained from 4+ . However, this plot masks some sample RCa (not shown), contain OH-stretching obvious discrepancies. Firstly, we have seen that absorption bands over the wavenumber range Fe2O3 reduction probably has an in¯uence on 4000 solubility of Fe2O3 in rutile in sample RFe3. structurally-incorporated Secondly, sample from saturated, although, cations for Ti RCr is possibly Cr-under- ÿ2500 cmÿ , 1 RCa1 implying contained H. no the presence Spectra features of obtained over this Fe- wavenumber range, implying an absence of H in bearing series of experiments, the lack of IVCT the structure. Polarized spectra were obtained may indicate that rutile in this sample is close to, from crystals in samples RFe, RCr and RGa, and or at, saturation. Thirdly, and to a lesser degree, show that the main absorption bands in these by inference we can infer that in addition to Al also contains Ti 3+ 3+ to the , sample RAl defects. However, the broad spectra have a perpendicular to 95% the component of crystallographic vibration c axis, trend that we see in Fig. 3 probably indicates a consistent with the H incorporation mechanism similar incorporation mechanism for the various proposed by Swope et al. (1995). The water trivalent and divalent cations in rutile. As noted contents for all samples were calculated from above, unpolarized IR spectra and are listed in Table 2. Mo È ssbauer spectra obtained from Fe-doped rutile and TiO2(II) indicate that Fe 3+ 4+ Spectra from all samples consist of one main ) absorption band. In Fe-, Al-, Cr- and Ga-bearing site (Bromiley et al., 2004a). Computer simula- rutile, this absorption band is at 3295, 3308, 3257 tions of defect structures in rutile have also and 3314 cm in both phases is present on the octahedral (Ti demonstrated that Cr preferentially octahedral 3+ , Al 3+ incorporated site, 3+ , Ga in and Fe rutile charge-balanced 3+ onto by ÿ1, respectively. Variation in the are wavenumber of the main OH band with composi- the tion is consistent with the formation of coupled oxygen defects / involving trivalent cations and H, vacancies (Sayle et al., 1995). In a study of (M Ti ± H i Ç). synthetic absorption band, these spectra also contain an Al-doped Rentschler pressure, Al (1999) 3+ rutile, showed Gesenhues that at 4+ and ambient In addition additional band at ~3279 cm to the main OH- ÿ1, usually only seen is charge- as a slight shoulder on the main OH-absorption balanced by oxygen vacancies, but that with band. As noted for the Fe-bearing samples, this substitution for Ti increasing Al2O3 contents, some Al 3+ is addition- 353 band is probably due to H decoupled from any G. D. BROMILEY AND N. HILAIRET FIG. 4. Unpolarized average NIR spectra (over the OH-stretching range) from synthetic, water-saturated rutile grown at 2.0 GPa, 1100ëC. (a) R1, (b) RFe3, (c) RAl, (d) RMg, (e) RCr, (f) RGa. compositional defects, but could also be due to H associated with Ti 3+ . Spectra from sample RAl incorporation Unfortunately related no data to interstitial are available Al on 3+ . the also contain a small OH absorption band at much anisotropic nature of this small band, so direct higher wavenumbers, 3551 cm assignment ÿ1, which is not is not possible. However, several seen in the spectra of any other samples, and potential positions for H incorporation in the suggests that there is another mechanism for H rutile structure have been identi®ed (Johnson et incorporation in the Al-bearing rutile. Gesenhues al., 1968), and the band at 3551 cm and Rentschler (1999) noted that synthetic rutile due to H grown at amounts ambient of pressure Al 2 O 3 doped contains Al with 3+ on large both octahedral and interstitial sites. The additional band at 3551 cm ÿ1 could possibly be due to H + 354 + Spectra contain ÿ1 could be in a Ý00 position. an obtained from asymmetric Mg-bearing band at rutile 3349 cm ÿ1 , which can actually be resolved into three separate bands, a large band at 3349 cm ÿ1, a shoulder at HYDROGEN AND MINOR ELEMENT INCORPORATION IN RUTILE 3325 cm ÿ1 and another small band at 3279 cm ÿ1 amount of Ca 2+ , in contrast to the other trivalent (i.e. the OH band noted in all spectra). This and divalent cations considered, occupies inter- interpretation H stitial sites in the rutile structure. From Figs 1 and slightly 2 it can be seen that the presence of interstitial Ti more favourable. The OH-stretching frequencies markedly reduces the af®nity of rutile for H. of these two absorption bands are similar, and no Perhaps a similar effect is noted in the Ca-doped variation in relative peak height was noted as a sample due to interstitial Ca. The presence of function distinct CaiÇÇ defects could be charge-balanced by the difference in absorption band anisotropy. The H coupled substitution of Ca onto the octahedral Ti positions implies associated of that there with orientation, Mg 2+ are , one implying no two // 4+ / incorporation mechanism proposed by Swope et site (CaTi ) or by reduction of Ti al. (1995) actually describes four equivalent H absence of broad absorption bands in NIR spectra positions about a symmetrical, regular octahe- from RCa over the range 700 to 4000 cm dron. Local distortion of the octahedral site in indeed of any blue colouration of the Ca-doped rutile due to Mg result in 2+ slight frequencies for substitution could potentially differences H + in OH-stretching (TiTi ). The crystals, excludes the possibility of Ti 3+ ÿ1, or inter- stitials being present, but not of reduced Ti 4+ on different the main Ti site. The use of Ca-doping of rutile to positions. If H incorporation in the MgO-saturated prevent H incorporation could, potentially, have located in these rutile is related to Mg substutition for Ti + 4+ , this some important industrial applications. are incorporated for An interesting feature in IR spectra obtained . Differences in the peak height of the from the synthetic rutile samples is the signi®cant absorption bands could indicate that, as a result of variation in the width of the OH absorption bands site distortion, the four equivalent H positions are as a function of composition. Mostly, this effect is split into at least two pairs with slightly differing due to overlapping of the main OH absorption OH-stretching band, which has a different frequency in each would imply that two H every Mg 2+ frequencies, with the slightly ÿH bond being more favourable. composition, with the smaller absorption band at longer O It is interesting absorption-band to note, on 3279 cm ÿ1. However, there could also be some obtained from Ca-doped rutile (RCa) contain no as a function of composition, possibly due to OH H NNN effects: the presence of small amounts of is not stable. interstitial trivalent cations, or, in the example of This IR of variation in the width of the main absorption band bands. that basis spectra absorption assignment, the implies incorporation coupled with CaTi // that Indeed, decoupled H interstitials, or H interstitials coupled with Ti 3+ defects are also not present in this sample. As noted in Table 3, the difference in ionic radii between Ti 4+ 2+ RCr, increased likelihood of trivalent being on adjacent octahedral (Ti 4+ cations ) sites due to higher solubility of the minor element. Signi®cant is quite high variation in water solubility in the synthetic rutile (51.5 pm). Lack of structurally incorporated H in is also noted as a function of composition. The sample considerable highest water content measured is for the Cr- distortion of the Ti site in the rutile structure doped sample. However, no systematic variation due to Ca occupancy. However, this does not in water content as a function of oxide solubility suf®ciently explain the absence of the 3279 cm or ionic radius is seen. Water solubility probably band. RCa This could could be and Ca due indicate to that a ÿ1 signi®cant varies partly as a function of the change in unitcell volume due to H incorporation, and should, TABLE 3. Ionic radii of cations in 6-coordinated octahedral environments. therefore, be distortion due partly to dependent MTi / defects. upon relative However, we have seen that in all samples some H is also Cation Ti 4+ 3+ Fe 3+ Al Mg 2+ 3+ Ga 3+ Cr Ca 2+ present which is either decoupled to composi- Ionic radius (pm) tional defects, or related to the presence of Ti 3+ . Furthermore, at least one of the samples, RAl, 74.5 78.4 contains 67.5 probably leads to a reduction in H solubility. 86.0 Unfortunately, it is not possible to determine 76.0 accurately the areas of overlapping absorption 75.5 bands in the IR spectra, and therefore the amount 126.0 cations on interstitial sites, which of H coupled to (or decoupled from) different defects. Peak ®tting is made dif®cult by the fact 355 G. D. BROMILEY AND N. HILAIRET that: (1) the signal to noise ratio is not ideal, synthetic mainly due to the small sample size and low explanation appears to be more consistent with concentration of H, (2) most absorption bands are the similarities between IR spectra obtained from broad and the amount of overlap is large, and natural rutile samples with different compositions. (3) background subtraction can lead to changes in Furthermore, this assertion supports the argument relative peak heights. Calculated water contents that the 3279 cm may comparable spectra in Figs 2 and 4 is due to H unrelated to anyway, because of variation in OH-stretching compositional impurities, because natural rutiles frequencies only not, however, as a be directly function of composition. rutile contain in ÿ1 Ti the present study. This OH-absorption band seen in 3+ under extremely limiting Nakamoto et al. (1955) noted that there is a circumstances, such as in meteoritic or lunar signi®cant dependence of H concentration on samples OH-stretching frequency, which would imply a crystallization was extremely low. for which oxygen fugacity during systematic overestimation of water contents in Vlassopoulos et al. (1993) noted that rutiles samples where the main OH absorption band is from ma®c pegmatites contained an additional shifted to higher wavenumbers. a bs o r pt i o n b a nd a r o u nd 33 6 0 c m ÿ1 , and suggested that this may be due to H association with Mg Comparison with natural samples Johnson et al. (1968) ®rst suggested that H rutiles contain 3349 cm cation substitutions, but they were not able to also resolve 3324 cm OH . This correlates reasonably well with data from the present study, where Mg-saturated incorporation in rutile was linked to trivalent impurity-associated 2+ bands in IR ÿ1. suggest ÿ1 a large absorption band at However, Vlassopoulos et al. (1993) that a small satellite peak at seen in some rutile spectra, is due to 3+ spectra from rutiles doped with various oxides association with Al and consistent with the results of the present study. so concluded that either there was no . This suggestion is not association of OH groups with cations, or that Spectra obtained from synthetic rutile samples resulting shifts in OH-stretching bands were too doped with various trivalent and divalent cations small replicate many of the features seen in spectra of to be resolved. However, in detailed investigations of coupled H and minor element natural substitution measured in natural rutiles from various geological terrains, Hammer and Beran (1991) samples. Vlassopoulos integrated OH-stretching range in spectra to 12300 cm and Vlassopoulos et al. (1993) noted systematic samples from 1800 shifts in OH-stretching frequencies, and attempted obtained from the to correlate these with variation in composition study range from 640 cm and from geological many environment. natural rutiles Spectra obtained commonly contain one main absorption band at 3280 to 3390 cm ÿ1 (e.g. samples R-6, R-7, R-8, JAG83-30-3, JAG852 of Vlassopoulos et al., 1993). Fe 3+ is the major 14100 cm ÿ2. et al. absorbances synthetic ÿ2 (1993) over from ÿ2 . samples the natural Values in this (for pure TiO2) to The largest values measured by Vlassopoulos et al. (1993) were for rutiles from ultra-high pressure environments, and are in very good agreement with data from our study. Interestingly, the greatest water content noted by trivalent cation in many natural rutiles. Spectra Vlassopoulos et al. (1993) was for a Cr-rich from RFe3, sample, and the greatest water content of any the synthetic Fe-saturated rutile, ÿ1, which sample in this study was measured for the Cr- may be comparable to the band seen in spectra doped sample. However, results from the present from natural study contain an absorption band at 3295 cm rutiles. Samples R-6 to R-8 of indicate that many of the correlations Vlassopoulos et al. (1993) contain appreciable between OH-stretching frequencies and composi- amounts of Fe. In contrast, samples JAG83-30-3 tions previously reported are overstated. Most and JAG85-2 contain much larger amounts of Cr. likely, a signi®cant proportion of H in natural Spectra from sample RCr contain an absorption rutiles is not coupled to substitutional impurities. band wavenumbers If so, this implies that small variations in OH- and are not comparable to spectra stretching frequencies between different rutile obtained from these natural Cr-rich rutiles. An samples is probably due to some variation in the alternative explanation is that the main absorption size and/or distortion of the octahedral (Ti band in IR spectra from natural rutiles is unrelated in the structure, which should be evident from to compositional impurities, and is comparable to detailed structural re®nements. Furthermore, H the band at 3279 cm incorporation in natural rutiles could be linked to at (3257 cm signi®cantly ÿ1), lower ÿ1 seen in all IR spectra from 356 4+ ) site HYDROGEN AND MINOR ELEMENT INCORPORATION IN RUTILE 4+ on Johnson et al. (1973) and the sample independent octahedral sites in the rutile structure. Natural calibrations of Paterson (1982) and Libowitzky rutiles often contain appreciable Nb and Ta, and (1999). Ti substitution for pentavalent cations so this could provide an ef®cient mechanism for H incorporation, and would also result in the formation of H interstitials unrelated to other Acknowledgements The authors would like to thank Heinz Fischer, compositional impurities. Defect structures in synthetic and natural rutile Georg Herrmannsdo È rfer, Hubert Schulze for Detlef technical Krauûe and assistance, and Fabrice Gaillard and Fiona Bromiley for help with preparation of the manuscript. This manu- The main mechanism for H incorporation in the script was improved by the comments of an synthetic rutile samples is association with lower- anonymous reviewer. valence cation substitution onto octahedral sites. However, the amount of water incorporated into rutile (Table 3) is at least one order of magnitude References lower than the solubility of lower-valence cations Bromiley, G. and Keppler, H. (2004) An experimental (Table 1), implying that the dominant mechanism investigation of hydroxyl solubility in jadeite and for trivalent and divalent cation substitution into Na-rich pyroxenes. Contributions to Mineralogy and Petrology, the synthetic rutile does not involve H incorpora- 147, 189 ÿ200. tion. We have argued that the dominant mechanism Bromiley, G., Hilairet, N. and McCammon, C. (2004a) for trivalent and divalent cation substitution in Solubility of hydrogen and ferric iron in rutile and synthetic rutile probably involves oxygen vacan- TiO2 (II): Implications for phase assemblages during cies, and to a lesser degree, could also involve ultrahigh-pressure metamorphism and for the stabi- cations lity on interstitial sites. In natural rutile, trivalent cation substitutions can also be chargebalanced by coupled substitutions with pentavalent 3+ cations (i.e. M 5+ + M charge-balance trivalent cation substitutions is not speciation conditions expected in many geological environ- al., 2004b). Vlassopoulos et al. (1993) noted that Field pentavalent cation content, and suggested that this content in many rutiles favour of using the integral mantle. gem-quality 89, 941 ÿ949. Cr-diopside. Cambridge University Press, to the Rock-Forming Minerals. Longmans, Essex, UK, 696 pp. Gesenhues, U. and Rentschler, T. (1999) Crystal growth and defect structure of Al Solid State Chemistry, 3+ 143, -doped rutile. Journal of 210 ÿ218. Goresy, A., Chen, M., Gillet, P., Dubrovinsky, L., Graup, G. and Ahuja, R. (2001) A natural shockinduced dense polymorph of rutile with alpha-PbO 2 structure in the suevite from the Ries crater in is Germany. Earth and Planetary Science Letters, considerable, and has been used as an argument in natural, Theory. Introduction amount of H needed to charge balance the excess cation lower L04610. Deer, W., Howie, R.A. and Zussman, J. (1992) An was due to large amounts of H incorporation. The trivalent the 31, Cambridge, UK, 551 pp. the total trivalent cation content of a suite of rutile samples was systematically higher than the total in Burns, R. (1993) Mineralogical Applications of Crystal ments where rutile is an important accessory mineral, such as subducting slabs (Bromiley et in American Mineralogist, known. However, redox conditions in the pistoncylinder assembly probably closely resemble redox polymorphs F. and Jacobsen, S. (2004b) Hydrogen solubility and ). The extent to which natural high-pressure rutiles are reduced, and the extent to which oxygen vacancies can silica Bromiley, G., Keppler, H., McCammon, C., Bromiley, 4+ = 2 Ti of Geophysical Research Letters, 485 ÿ495. 192, absorption Hammer, V. and Beran, A. (1991) Variations in the OH coef®cient determined by Hammer and Beran concentrations of rutile from different geological (1991), which gives unrealistically high water contents. However, the presence of environments. Mineralogy and Petrology, 45, 1 ÿ9. oxygen Johnson, O., Ohlsen, W. and Kingsbury, P., Jr. (1968) vacancies in natural rutile, or the presence of Defects in rutile (iii). Optical and electrical proper- interstitial cations could also account for a large ties amount of excess trivalent cation content, and Review, would imply that the Hammer and Beran (1991) of Johnson, impurities 175, O., and charge ÿ1108. carriers. Physical 1102 DeFord, J. and Shaner, J. (1973) calibration signi®cantly overestimates the water Experimental technique for the precise determination content of rutile relative to the calibration of of H and D concentration in rutile (TiO2). Journal of 357 G. D. BROMILEY AND N. HILAIRET 44, Applied Physics, 3008 ÿ3012. Sayle, D., Catlow, C., Perrin, M.-A. and Nortier, P. Khomenko, V., Langer, K., Rager, H. and Fett, A. (1998) Electronic absorption by Ti 3+ ions (1995) Computer simulation study of the defect and chemistry of rutile TiO2. Journal of the Physics and electronic delocalization in synthetic blue rutile. Physics and Chemistry of Minerals, 25, 338 ÿ346. Chemistry of Solids, Libowitzky, E. 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