de c, y of titut Revised 23 February 2010 Accepted 23 February 2010 Available online 12 March 2010 Keywords: used to classify asteroids, identify meteorite parent bodies, and understand the structure of the asteroid widely-applied tool used in the search for these parent asteroids, due to the strong 1 lm and/or 2 lm absorption bands present in the dominant chondritic minerals olivine and pyroxene (Adams, 1974, 1975; Burns et al., 1972; Cloutis, 1985; Cloutis and Gaffey, 1991). This approach requires a direct comparison of spectral band parameters (e.g., Band I and II centers, band area ratios) between meteorite and asteroids. However, if robust relationships between complete petrologic range of the equilibrated ordinary chondrites (types 4?6) (Van Schmus and Wood, 1967). This is the ?rst study in which spectral calibrations have been derived using actual mea- sured ordinary chondrite modal abundances. Prior to this study, spectral calibrations were based on simple mixtures of ma?c sili- cates (Cloutis et al., 1986) or normative abundances of ordinary chondrites (Burbineet al., 2003), due to thedif?cultyassociatedwith quantifying modal abundances of ?ne-grained samples. Normative mineralogies are calculated from bulk chemistry using a standard CIPW (Cross, Iddings, Pirsson, and Washington) algorithm (Cross et al., 1902), andareusedmostoften todetermineabundancesof?ne * Corresponding author at: Department of Geography?Geology, Illinois State University, Normal, IL 61761, USA. Icarus 208 (2010) 789?797 Contents lists availab ru .e lE-mail address: tldunn@ilstu.edu (T.L. Dunn).Over the past few decades, an ongoing debate has centered on the identities of the ordinary chondrite parent bodies, the most common meteorites seen to fall to Earth. While earlier workers posited that ordinary chondrite-like bodies should be common in the asteroid belt, it is now generally recognized that only three parent bodies are required to account for the chemically-distinct H, L and LL chondrites. Each chondrite group is chemically homog- enous (Dodd, 1981), oxygen isotopes cluster within a narrow range (Clayton et al., 1991), and radiometric ages indicate that many H and L chondrites were ejected from the same parent body (Keil et al., 1994). Visible/near-infrared spectra have been the most dances and compositions) could be established, these comparisons could be made using the same criteria that are used in meteoritics. Such a comparison has the advantage that the H, L and LL chemical groups were originally de?ned on the basis of bulk chemistry, par- ticularly total iron abundance and ma?c silicate compositions, and not on spectral parameters. The H, L and LL chondrite groups exhi- bit distinct compositional hiatuses, particularly with respect to ma?c silicate compositions, although some authors have ques- tioned whether L and LL chondrites are transitional (Rubin, 1990). In this paper, we revisit spectral calibrations for asteroids using a data set of 48 measured ordinary chondrite modal abundances and corresponding silicate mineral analyses, which represent theAsteroids Spectroscopy Meteorites 1. Introduction0019-1035/$ - see front matter  2010 Elsevier Inc. A doi:10.1016/j.icarus.2010.02.016belt. Using a suite of 48 equilibrated (types 4?6) ordinary (H, L, and LL) chondrites containing orthopy- roxene, clinopyroxene, and olivine, new relationships between spectra and mineralogy have been estab- lished. Contrary to previous suggestions, no meaningful correlation is observed between band parameters and cpx/(opx + cpx) ratios. We derive new calibrations for determining mineral abundances (ol/(ol + px)) and ma?c silicate compositions (Fa in olivine, Fs in pyroxene) from VIS/NIR spectra. These calibrations con?rm that band area ratio (BAR) is controlled by mineral abundances, while Band I center is controlled by ma?c silicate compositions. Spectrally-derived mineralogical parameters correctly classify H, L and LL chondrites in 80% of cases, suggesting that these are robust relationships that can be applied to S(IV) asteroids with ordinary chondrites mineralogies. Comparison of asteroids and meteorites using these new mineralogical parameters has the advantage that H, L and LL chemical groups were originally de?ned on the basis of ma?c silicate compositions.  2010 Elsevier Inc. All rights reserved. these spectral parameters and mineralogical parameters (abun-Article history: Received 12 November 2009 Mineral compositions and abundances derived from visible/near-infrared (VIS/NIR or VNIR) spectra areA coordinated spectral, mineralogical, an chondrites Tasha L. Dunn a,d,*, Timothy J. McCoy b, J.M. Sunshin aDepartment of Earth and Planetary Sciences, Planetary Geosciences Institute, Universit bDepartment of Mineral Sciences, National Museum of Natural History, Smithsonian Ins cDepartment of Astronomy, University of Maryland, College Park, MD 20742-2421, USA dDepartment of Geography?Geology, Illinois State University, Normal, IL 61761, USA a r t i c l e i n f o a b s t r a c t Ica journal homepage: wwwll rights reserved.compositional study of ordinary Harry Y. McSween Jr. a Tennessee, Knoxville, TN 37902, USA ion, Washington, DC 20013-7012, USA le at ScienceDirect s sevier .com/locate / icarus mineralogical interpretations of asteroid spectra. systematic differences between the two data sets. us 23. Analytical methods2. Background The primary diagnostic feature in olivine is a composite absorp- tion feature at 1 lm, which consists of three distinct absorption bands. The composite 1 lm band, which is attributed to electronic transitions of Fe2+ occupying both the M1 and M2 crystallographic sites (Burns, 1970), moves to longer wavelengths as FeO content increases (King and Ridle, 1987; Sunshine and Pieters, 1998). Pyroxenes have two absorption bands at 1 lm and 2 lm that are associated with crystal ?eld transitions in Fe2+, which preferen- tially occupy the M2 site (Clark, 1957; Burns, 1970). Low-calcium pyroxenes, which are conventionally de?ned as having less than 11 mol% CaSiO3 (wollastonite or Wo) (Adams, 1974), show a well-de?ned relationship between absorption band positions and composition, as both Band I and Band II positions increase with increasing ferrous iron content (Adams, 1974; Burns et al., 1972; Cloutis, 1985). There is also a correlation between composition and band positions in high-calcium pyroxene, although the rela- tionship is complicated by the presence of calcium in addition to iron. In spectra containing both olivine and pyroxene absorptions, the combined absorption features near 1 lm (Band I) and near 2 lm (Band II) are also sensitive to the relative proportions of oliv- ine and pyroxene. The ratio of the areas of these two bands (Band II/Band I) is commonly used to estimate olivine and pyroxene abundances in meteorites and asteroids (Cloutis et al., 1986). The linear relationship between this band area ratio (BAR) and the ratio of pyroxene to olivine + pyroxene (px/(ol + px)) was ?rst recog- nized Cloutis et al. (1986), who expressed this relationship as BAR ? 0:024 ?px=?ol? px??  1:25: ?1? While Cloutis et al. (1986) utilized this equation to derive BARs from mixtures of known mineral proportions, Gastineau-Lyons et al. (2002) used this relationship to derive mineral abundances from BARs of asteroid spectra, recasting the Cloutis et al. (1986) calibration as px=?ol? px? ? 0:417 BAR ? 0:052: ?2? However, because the Cloutis et al. (1986) regression was based on simple mixtures of olivine and orthopyroxene, the presence of more than one pyroxene (or other additional phases) would com- plicate spectral interpretations of asteroids made using this cali- bration (Gaffey et al., 1993; Sunshine et al., 2004). In an attempt to determine the mineralogy of the S-type aster- oids, Burbine et al. (2003) used normative abundances of the ordin- ary chondrites, which contain olivine, orthopyroxene and clinopyroxene, to derive a relationship between BAR and ol/ (ol + px). Burbine et al. (2003) expressed their equation as ol=?ol? px? ? 0:228 BAR ? 0:768: ?3? The Burbine et al. (2003) calibration yields ordinary chondrite ol/(ol + px) ratios that fall within the same general range of ol/ (ol + px) ratios measured from normative mineral abundances of ordinary chondrites (McSween et al., 1991). However, there aregrained terrestrial samples, such as volcanic rocks. Our new calibra- tions based on measured abundances should yield more accurate 790 T.L. Dunn et al. / IcarA total of 48 ordinary chondrite samples representing each of the ordinary chondrites groups (H, L, and LL) and petrologic catego- ries 4?6 (Van Schmus and Wood, 1967) were selected for analysis.To ensure that samples represented a single petrographic type, vis- ibly polymict samples were excluded from the study, and only unbrecciated falls with minimal terrestrial weathering were se- lected for analysis. Re?ectance spectra of ordinary chondrites were acquired using a bidirectional spectrometer at Brown University?s Keck/NASA Re?ectance Experiment Laboratory (RELAB) (Pieters and Hirio, 2004). Spectra of 37 chondrite falls in this study (samples with RELAB IDs TB-TJM-XXX; Table 1) were collected by Burbine et al. (2003) from powders originally prepared for bulk chemical analysis by Jarosewich as part of the Smithsonian Institu- tion?s Analyzed Meteorite Powder Collection. Small chips of the remaining 11 chondrites (samples TH-HYM-XXX; Table 1) were ac- quired from the Natural History Museum in London and from the Smithsonian Institution. Consistent with sample preparation de- scribed in Burbine et al. (2003), samples were ground with mortar and pestle into a ?ne powder (<150 lm), and the metal fraction of the samples was then magnetically removed from the powder in preparation for spectral analysis. Only the silicate portion of each sample was analyzed. Although removing metal from the sample may alter the slope of the spectrum, it should not affect sil- icate spectral features (i.e. BAR, Band I or Band II center) or spec- trally-derived silicate mineral abundances. For the 11 chondrites obtained for this study (TH-HYM-XXX; Table 1), availability of material was limited, and the mass of mate- rial used to prepare these samples was signi?cantly smaller than the multi-gram masses used by Jarosewich (1990, 2006). It is pos- sible that these powders may not be as representative as those pre- pared by Jarosewich (1990, 2006), but they were necessary to ensure that the H, L, and LL ordinary chondrite groups were equally represented. Unrepresentative sample powders may be expected to yield modal abundances that are higher or lower than actual val- ues, thereby skewing trends based on modal data. For example, measured abundances of low-Ca pyroxene in two L5 chondrites with limited material (Ausson and Blackwell) are 1?2 wt.% higher than abundances in the remaining L5 chondrites. This results in ol/ (ol + px) ratios that are lower than those of the remaining L5 chon- drites. However, most samples obtained for this study do not ap- pear to show anomalous modal abundances, and it is unlikely that a few potentially unrepresentative samples would alter con- clusions based on 48 samples. Spectra for all 48 samples were collected over a range of 0.32? 2.55 lm at a sampling interval of 0.01 lm. An incident angle of 30 and an emission angle of 0 were used for spectral measurements. Band area ratios and band centers were determined by ?rst divid- ing out a straight-line continuum using points on either side of Band I and Band II (with 2.5 lm as the furthest data point). The area of each band was measured as the area between the absorp- tion band and a tangent line drawn between two peaks on either side of the absorption, and the band area ratio (BAR) was calcu- lated by dividing the area of Band II by the area of Band I. The aver- age error associated with BAR is 0.01 lm. Band center was determined by ?tting a second order polynomial to the bottom of the continuum removed feature, and the minimum point of the polynomial was used as the band center. The uncertainty of band centers is typically between 0.01 and 0.03 lm, with an aver- age error of 0.02 lm. Classi?cations, grain sizes, and spectral parameters (BCI, BCII, and BAR) are listed in Table 1. XRD data were collected using an INEL curved position-sensitive detector (PSD) at the Natural History Museum in London, England. Mineral abundances were determined using a whole-pattern XRD ?tting procedure, ?rst introduced by Cressey and Scho?eld (1996) and further developed by Batchelder and Cressey (1998). Experi- mental con?gurations and a detailed description of the XRD ?tting 08 (2010) 789?797procedure are reported in Dunn et al. (2010a). Olivine and low- Ca pyroxene compositions in 38 of the ordinary chondrites in this study were determined using a Cameca SX-50 electron microprobe Gra <15 <15 <15 <15 <15 <15 <15 <15 <15 <15 <15 Karatu LL6 TB-TJM-077 <75 Saint-S?verin LL6 TB-TJM-145 <15 <15 <15 <15 <15 us 2Attarra L4 TB-TJM-065 Bald Mountain L4 TB-TJM-102 Rio Negro L4 TB-TJM-081 Rupota L4 TB-TJM-121Table 1 Meteorites measured in this study and their spectral parameters. Meteorite Type RELAB IDa Bernares (a) LL4 MT-HYM-083 Greenwell Springs LL4 TB-TJM-075 Hamlet LL4 MT-HYM-075 Witsand Farm LL4 MT-HYM-076 Aldsworth LL5 MT-HYM-077 Alta?ameem LL5 MT-HYM-078 Olivenza LL5 MT-HYM-085 Paragould LL5 MT-HYM-079 Tuxtuac LL5 MT-HYM-080 Bandong LL6 TB-TJM-067 Cherokee Springs LL6 TB-TJM-075 T.L. Dunn et al. / Icarat the University of Tennessee. Silicate mineral analyses and a detailed discussion of experimental con?gurations are provided in Dunn et al. (2010b). 4. Results 4.1. Olivine and pyroxene abundances XRD-measured abundances of olivine, orthopyroxene, clinopy- roxene, and pigeonite (reported as ol/(ol + px)) are presented in Ta- ble 2, along with ol/(ol + px) ratios calculated from CIPW norms (McSween et al., 1991) using the bulk chemical analyses of Jarosewich (1990, 2006). The average error associated with XRD- measured ol/(ol + px) ratios is 0.03, which is based on the uncer- tainty in determination of olivine and pyroxene abundances (?2 wt.%) (Dunn et al., 2010a). The average uncertainty for norma- tive ratios is cited as 0.01 by Burbine et al. (2003). XRD-measured weight ratios of ol/(ol + px) differ slightly from those calculated using normative abundances due to systematic differences Ausson L5 MT-HYM-084 <15 Blackwell L5 MT-HYM-081 <15 Cilimus L5 MT-HYM-082 <15 Guibga L5 TB-TJM-134 <15 Mabwe-Khoywa L5 TB-TJM-107 <15 Malakal L5 TB-TJM-109 <15 Messina L5 TB-TJM-099 <15 Apt L6 TB-TJM-064 <15 Aumale L6 TB-TJM-101 <15 Karkh L6 TB-TJM-137 <15 Kunashak L6 TB-TJM-139 <15 Kyushu L6 TB-TJM-140 <15 New Concord L6 TB-TJM-130 <15 Farmville H4 TB-TJM-128 <15 Forest Vale H4 TB-TJM-093 <75 Kabo H4 TB-TJM-136 <15 Marilia H4 TB-TJM-078 <15 S?o Jose do Rio Preto H4 TB-TJM-082 <15 Allegan H5 TB-TJM-104 nm Ehole H5 TB-TJM-074 <15 Itapicuru-Mirim H5 TB-TJM-097 <15 Lost City H5 TB-TJM-129 <15 Primbram H5 TB-TJM-143 <15 Schenectady H5 TB-TJM-083 <15 Uberaba H5 TB-TJM-085 <15 Andura H6 TB-TJM-088 <75 Bustura H6 TB-TJM-069 <15 Canon City H6 TB-TJM-131 <15 Chiang Khan H6 TB-TJM-132 <15 Guarena H6 TB-TJM-094 <15 Ipiranga H6 TB-TJM-135 <15 a Spectra are available on the RELAB database at http://www.planetary.brown.edu/relin size Band I (lm) Band II (lm) BAR 0 lm 1.008 1.984 0.522 0 lm 0.991 1.959 0.512 0 lm 0.980 1.974 0.561 0 lm 1.004 2.001 0.457 0 lm 0.977 1.960 0.561 0 lm 0.986 1.952 0.435 0 lm 1.012 1.969 0.387 0 lm 0.985 1.968 0.409 0 lm 1.035 1.950 0.310 0 lm 1.001 1.987 0.274 0 lm 0.989 1.940 0.406 lm 1.006 1.992 0.311 0 lm 1.003 1.881 0.269 0 lm 0.957 1.927 0.726 0 lm 0.929 2.001 0.960 0 lm 0.953 1.932 0.813 0 lm 0.955 1.951 0.582 08 (2010) 789?797 791between normative and XRD-measured abundances, particularly in olivine and high-Ca pyroxene. Normative olivine abundances are higher than XRD-derived abundances of olivine by an average of 3 wt.%, while normative high-Ca pyroxene abundances are lower by an average of 2.7 wt.%. The disparity between silicate abundances is a result of the way in which CIPW normative phases are calculated. Because norma- tive abundances are calculated as a limited set of ideal minerals, minerals that are present in a sample may be incorrectly calculated during the CIPW norm procedure if that phase is not a possible normative mineral. Ordinary chondrites contain three pyroxenes: enstatite, diopside, and pigeonite (Wo5?20). Enstatite and diopside are normative phases, but pigeonite is not. As a result, the oxides associated with pigeonite (primarily FeO and MgO) are incorrectly allocated in the CIPW norm calculation. A comparison of normative mineralogies (McSween et al., 1991), electron microprobe-mea- sured chondrite abundances (Gastineau-Lyons et al., 2002), and our XRD-measured abundances suggests that these oxides are incorrectly allocated to olivine, resulting in overestimated norma- tive olivine abundances and lower than expected high-Ca pyroxene 0 lm 0.930 1.918 1.031 0 lm 0.955 1.953 0.526 0 lm 0.950 1.925 0.515 0 lm 0.962 1.943 0.633 0 lm 0.954 1.944 0.744 0 lm 0.954 1.977 0.709 0 lm 0.959 1.960 0.595 0 lm 0.963 1.940 0.511 0 lm 0.960 1.946 0.614 0 lm 0.964 1.930 0.371 0 lm 0.972 1.942 0.518 0 lm 0.970 1.933 0.544 0 lm 0.960 1.928 0.606 0 lm 0.939 1.928 0.789 lm 0.937 1.934 0.800 0 lm 0.939 1.934 0.915 0 lm 0.934 1.945 0.851 0 lm 0.942 1.901 0.992 0.930 1.897 1.068 0 lm 0.940 1.945 0.999 0 lm 0.944 1.922 0.878 0 lm 0.940 1.936 0.857 0 lm 0.940 1.906 0.857 0 lm 0.937 1.913 0.786 0 lm 0.945 1.943 0.881 lm 0.927 1.929 0.889 0 lm 0.936 1.918 0.795 0 lm 0.953 1.932 0.752 0 lm 0.946 1.920 0.846 0 lm 0.938 1.916 0.748 0 lm 0.939 1.921 0.835 abdata/. us 2Table 2 ol/(ol + px) ratios derived from XRD, normative, and spectral data. Meteorite Type ol/(ol + px) (XRD) ol/(ol + px) (norm)a ol/ol + px (spectra)b Bernares (a) LL4 0.58 ? 0.60 Greenwell Springs LL4 0.64 0.66 0.60 Hamlet LL4 0.62 ? 0.59 Witsand Farm LL4 0.65 ? 0.62 Aldsworth LL5 0.65 ? 0.59 Alat?ameen LL5 0.62 ? 0.62 Olivenza LL5 0.64 0.67 0.63 Paragould LL5 0.65 ? 0.63 Tuxtuac LL5 0.63 ? 0.65 Bandong LL6 0.66 0.73 0.66 Cherokee Springs LL6 0.67 0.68 0.63 Karatu LL6 0.69 0.72 0.65 Saint-S?verin LL6 0.65 0.70 0.66 792 T.L. Dunn et al. / Icar(Dunn et al., 2010a). Due to the absence of pigeonite from the set of ideal normative minerals, ratios of ol/(ol + px) calculated using normative abundances (Burbine et al., 2003) are not representative of ordinary chondrite mineralogies and do not provide the most accurate calibration for spectral abundances. Because the CIPW norm is not well-suited for ordinary chon- drites, we derived a new equation for determining ol/(ol + px) ra- tios from spectra using XRD-measured modal abundances. Linear regression of ol/(ol + px) modal ratios as a function of BARs is pre- sented in Fig. 1a. A least-squares ?t of the data yields ol=?ol? px? ? 0:242 BAR ? 0:728; ?4? with an R2 value of 0.73, which is higher than that of Burbine et al. (2003). The authors would like to note that although the published R2 in Burbine et al. (1993) is 0.93, the correct value is 0.61 (Burbine, personal communication). ol/(ol + px) ratios derived from re?ec- tance spectra using Eq. (4) are presented in Table 2. The root mean Attarra L4 0.56 0.62 0.55 Bald Mountain L4 0.55 0.56 0.50 Rio Negro L4 0.55 0.59 0.53 Rupota L4 0.57 0.58 0.59 Ausson L5 0.55 0.64 0.48 Blackwell L5 0.56 ? 0.60 Cilimus L5 0.58 ? 0.60 Guibga L5 0.58 0.60 0.57 Mabwe-Khoywa L5 0.58 0.60 0.55 Malakal L5 0.57 0.60 0.56 Messina L5 0.57 0.60 0.58 Apt L6 0.56 0.67 0.60 Aumale L6 0.59 0.60 0.58 Karkh L6 0.59 0.65 0.64 Kunashak L6 0.60 0.63 0.60 Kyushu L6 0.61 0.61 0.60 New Concord L6 0.60 0.64 0.58 Farmville H4 0.46 0.51 0.54 Forest Vale H4 0.48 0.57 0.53 Kabo H4 0.46 0.51 0.51 Marilia H4 0.46 0.49 0.52 S?o Jose do Rio Preto H4 0.46 0.54 0.49 Allegan H5 0.47 0.48 0.47 Ehole H5 0.51 0.55 0.49 Itapicuru-Mirim H5 0.53 0.50 0.52 Lost City H5 0.49 0.54 0.52 Primbram H5 0.49 0.51 0.52 Schenectady H4 0.54 0.59 0.54 Uberaba H5 0.51 0.56 0.51 Andura H6 0.53 0.60 0.51 Bustura H6 0.51 0.53 0.54 Canon City H6 0.54 0.53 0.55 Chiang Khan H6 0.53 0.53 0.52 Guarena H6 0.60 0.54 0.55 Ipiranga H6 0.52 0.53 0.53 a From McSween et al. (1991); ? indicates that a norm has not been calculated. b Errors are 0.03 for XRD-measured ratios, 0.01 for normative ratios, and 0.03 for spectral ratios.a b 08 (2010) 789?797square error of the spectrally derived ol/(ol + px) ratios is 0.03. Fig. 1b compares spectrally-derived and XRD-measured ol/(ol + px) ratios. 4.2. Low- and high-Ca pyroxene abundances Gaffey et al. (2002) suggested that ma?c silicate abundances can be constrained even further by considering the effect of high- Ca pyroxene on the Band II position, which they suggested is an al- most linear function of the relative abundance of the two pyrox- enes. This assertion requires that the cpx/(opx + cpx) ratio is well-correlated with Band II center in the range of values found in ordinary chondrites. Gaffey et al. (2002) derived cpx/(opx + cpx) ratios from spectra, but did not provide a calibration for this calcu- lation. Using XRD-measured pyroxene abundances and Band II centers, we have derived an equation for establishing the ratio of high-Ca pyroxene to total pyroxene. A least-squares ?t of the data yields cpx=?opx? cpx? ? 0:533 Band II center 0:795; ?5? with a very low R2 value of 0.15. The remarkably low R2 value indi- cates this correlation is poorly constrained. This relationship ap- pears to be even less valid for normative cpx/(cpx + opx) ratios, which yield an R2 value of only 0.09. XRD-measured cpx/(opx + cpx) ratios, normative ratios, and ratios derived from re?ectance spectra are presented in Table 3. These results indicate that there is no sig- ni?cant correlation between Band II position and relative pyroxene abundance. We conclude that Band II should not used to derive Fig. 1. (a) Linear regression (indicated by bolded black lines) of band area ratios vs. XRD-measured ol/(ol + px) ratios. The solid grey lines are from Cloutis et al. (1986). Error bars are not shown for clarity. (b) XRD-measured ol/(ol + px) ratios vs. spectrally-derived ol/(ol + px) ratios for the ordinary chondrites in this study. The solid diagonal line represents a 1:1 measured to derived ratios. Uncertainties are stated in Table 2. Bandong LL6 0.29 0.23 0.26 us 2Cherokee Springs LL6 0.26 0.22 0.24 Karatu LL6 0.32 0.24 0.27 Saint-S?verin LL6 0.27 0.22 0.21Table 3 XRD-measured, normative, and spectral cpx/(opx + cpx) ratios. Meteorite Type cpx/(opx + cpx) XRD cpx/(opx + cpx) norma cpx/(opx + cpx) spectra Bernares (a) LL4 0.29 ? 0.26 Greenwell Springs LL4 0.23 0.21 0.25 Hamlet LL4 0.24 ? 0.26 Witsand Farm LL4 0.25 ? 0.27 Aldsworth LL5 0.24 ? 0.25 Alat?ameen LL5 0.25 ? 0.25 Olivenza LL5 0.24 0.18 0.25 Paragould LL5 0.25 ? 0.25 Tuxtuac LL5 0.26 ? 0.24 T.L. Dunn et al. / Icarrelative abundances of high-calcium pyroxene to total pyroxene from re?ectance spectra. 5. Discussion Since the ?rst comprehensive study of ordinary chondrite spec- tra was completed (Gaffey, 1976), the ongoing search for the parental asteroids of the ordinary chondrite has centered on the S(IV) subgroup, one of seven subgroups of the S-type asteroids (Gaffey et al., 1993). The S-type asteroids represent a suite of mix- tures ranging in composition from pure olivine to pure pyroxene (with potential meteorite analogues including ureilites [S(II)], lodranites [S(III) and S(V)], and mesosiderites [S(VII)] (Gaffey et al., 1993). The S(IV) subgroup is thought to contain objects with mineralogies similar to the ordinary chondrites (Gaffey et al., 1993). The S(IV) Asteroid 6 Hebe has been hypothesized to be the parent body of the H chondrites (Gaffey and Gilbert, 1998), Attarra L4 0.34 0.25 0.23 Bald Mountain L4 0.25 0.15 0.27 Rio Negro L4 0.25 0.15 0.23 Rupota L4 0.25 0.16 0.24 Ausson L5 0.22 0.17 0.23 Blackwell L5 0.27 ? 0.25 Cilimus L5 0.21 ? 0.23 Guibga L5 0.27 0.16 0.24 Mabwe-Khoywa L5 0.20 0.16 0.24 Malakal L5 0.26 0.18 0.26 Messina L5 0.26 0.15 0.25 Apt L6 0.27 0.20 0.24 Aumale L6 0.27 0.17 0.24 Karkh L6 0.26 0.15 0.23 Kunashak L6 0.26 0.16 0.24 Kyushu L6 0.29 0.17 0.24 New Concord L6 0.29 0.19 0.23 Farmville H4 0.21 0.12 0.23 Forest Vale H4 0.22 0.15 0.24 Kabo H4 0.20 0.12 0.24 Marilia H4 0.19 0.11 0.24 S?o Jose do Rio Preto H4 0.24 0.13 0.22 Allegan H5 0.21 0.13 0.22 Ehole H5 0.21 0.15 0.24 Itapicuru-Mirim H5 0.21 0.12 0.23 Lost City H5 0.23 0.14 0.24 Primbram H5 0.23 0.14 0.22 Schenectady H4 0.20 0.14 0.22 Uberaba H5 0.25 0.14 0.24 Andura H6 0.16 0.22 0.23 Bustura H6 0.18 0.17 0.23 Canon City H6 0.20 0.15 0.23 Chiang Khan H6 0.20 0.13 0.23 Guarena H6 0.18 0.13 0.23 Ipiranga H6 0.20 0.15 0.23 Errors are the same as those in Table 2. a Normative cpx/(opx + cpx) ratios are from abundances in McSween et al. (1991); ? indicates a sample for which norms have not been calculated.and the Flora Family has been suggested as possible source of the L chondrites (Nesvorny? et al., 2002). In addition, a large portion of studied Near Earth Asteroids (NEAs) have re?ectance spectra similar to ordinary chondrites (Thomas and Binzel, 2009). Like Fig. 2. Current classi?cation for S(IV)-type asteroids modi?ed from Gaffey et al. (1993) and Gaffey and Gilbert (1998). The curve represents a simple mixing line between olivine and low-Ca pyroxene (Gaffey et al., 1993). Spectral characteristics of 48 ordinary chondrites measured in this study are plotted on the diagram. The H, L, and LL chondrites appear to form linear trends, shown as bolded horizontal lines, in which each group de?nes a relatively restricted range of Band I center and a wider range of band area ratio that appears to mirror the criterion (e.g., FeO in ma?c silicates) originally used to distinguish the chemical groups of ordinary chondrites. 08 (2010) 789?797 793the S(IV) asteroids, ordinary chondrites scatter along a mixing line between olivine and low-Ca pyroxene when plotted in band area ratio vs. Band I center space (Fig. 2). This representation suggests that ordinary chondrites form a nearly continuous sequence be- tween olivine-rich LL chondrites and relatively pyroxene-rich H chondrites (Gaffey et al., 1993). Examination of the ordinary chondrite spectral data from this study (Fig. 2) suggests that there is an alternative interpretation; the H, L, and LL chondrites appear to form linear trends, in which each group de?nes a relatively restricted range of Band I center and a wider range of band area ratio. We suggest that this distinc- tion mirrors the criterion (e.g., FeO in ma?c silicates) originally used to distinguish the chemical groups of ordinary chondrites. Be- cause BAR is a measure of olivine and pyroxene abundances, it should be proportional to ol/(ol + px) ratios, a relationship which was con?rmed earlier in the paper. Given this proportionality, two meteorites with identical BARs should have, within error, identical ol/(ol + px) ratios. If they have identical ol/(ol + px) ratios, Band I center should be controlled almost entirely by the abun- dance of FeO in olivine and pyroxene. We can test this hypothesis using the 38 chondrite samples for which both modal abundances and silicate mineral compositions were analyzed. The relationship between measured FeO in ma?c minerals and Band I center is shown in Figs. 3a and 4a. Fig. 3a demonstrates that a correlation exists between fayalite (Fa) in olivine and Band I cen- ter, which is best described by a second order polynomial ?t: Fa ? 1284:9 ?BIC?2 ? 2656:5 ?BIC?  1342:3; ?6? with a R2 of 0.92. Two L chondrites (Ausson and Bald Mountain) were not included in this correlation due to their anomalous Band I centers. As shown in Fig. 3b, Fa values derived from this equation correlate well with measured Fa, with slight positive offsets for us 2a b 794 T.L. Dunn et al. / Icarmost derived H chondrite compositions and very slight negative off- sets for L and LL chondrites. A similar conclusion is reached for fer- rosilite (Fs) in pyroxene (Fig. 4a), which correlates with Band I center by a second order polynomial ?t: Fs ? 879:1 ?BIC?2 ? 1824:9 ?BIC?  921:7; ?7? with a slightly lower R2 of 0.91. Again, L chondrites Ausson and Bald Mountain were not included in this correlation. Like derived Fa val- ues, derived Fs values (Fig. 4b) show slight positive offsets for H chondrites and slight negative offsets for L and LL chondrites. How- ever, because both Fa and Fs in ma?c silicates correlate well with Band I center, there also appears to be a well-established correlation between Fa and Fs. Along with the previously established linear relationship be- tween BAR and ol/(ol + px), the correlation between ma?c silicate compositions (Fa, Fs) and Band I center allows us to interpret S(IV) asteroid spectra not simply in the context of BAR vs. Band I center, but in the context of FeO vs. ol/(ol + px) ratios ? the same criteria used to classify ordinary chondrites. Figs. 5a and 6a show mol% Fa and mol% Fs, respectively, plotted as a function of ol/ (ol + px). Dashed boxes represent the range of XRD-measured ol/ (ol + px) (from this study) and the range of measured Fa and Fs contents in ordinary chondrites (Brearley and Jones (1998) and ref- Fig. 3. For the 38 chondrite samples for which both modal abundances and mineral compositions were analyzed, (a) mol% Fa in olivine plotted as a function of Band I center demonstrates that a correlation exists between fayalite (Fa) in olivine and Band I center, and (b) measured vs. derived Fa values correlate reasonably well with measured Fa, with slight positive offsets for derived H chondrite compositions and very slight negative offsets for L and LL chondrites. The correlation between Fa and Band I center allows us to interpret asteroid spectra not simply in the context of BAR vs. Band I center, but in the context of FeO vs. ol/(ol + px) ratios.a b 08 (2010) 789?797erences therein). In each plot, the H, L, and LL chondrites are clearly separated in ma?c silicate composition and exhibit only minimal overlap in ol/(ol + px). In Figs. 5b and 6b, we plot the spectrally-de- rived ol/(ol + px) vs. derived Fa or Fs compositions (calculated using Eqs. (6) and (7), respectively). Dashed boxes are the same as those in Figs. 5a and 6a. The solid grey boxes represent the least root mean square of the errors on these spectrally-derived values (0.03 for ol/(ol + px), 1.3 mol% for Fa, and 1.4 mol% for Fs). Our cal- ibrations and their associated errors are presented in Table 4. If we classi?ed the meteorites in this study using only spec- trally-derived mineral abundances and silicate compositions, we would correctly classify 86% of H chondrites (12/14), 77% of L chon- drites (10/14) and 100% of LL chondrites (10/10). If the solid boxes, which account for the RMS error, are used as parameters for clas- si?cation instead, all but two the L chondrites outliers could be cor- rectly classi?ed. However, if these calibrations were applied to additional samples, the overlap between L and LL chondrites im- plied by our derived data, and suggested by previous authors based on mineral chemistries (e.g., Rubin, 1990), may make some L and LL chondrites dif?cult to classify. The correct classi?cation of 83% of the ordinary chondrites in this study indicates that similar success would be expected when attempting to determine the mineralogies of S(IV) asteroids. This statement is true, but it is not without caveats. First, these calibra- tions are only useful for samples with chondrite-like mineralogies and chemistries. When applying these calibrations to asteroid Fig. 4. As with Fa in olivine, (a) mol% Fs in orthopyroxene plotted as a function of Band I center demonstrates that a correlation exist between Fs in pyroxene and Band I center, and (b) derived Fs values correlate well with measured values, with slight offsets in the Hs and LLs. Because of the correlations between Fa and Band I and Fs and Band I, there also appears to be a good correlation between Fa and Fs. us 2a T.L. Dunn et al. / Icarspectra, one must ?rst be con?dent that the asteroid in question is an S(IV) type (and a likely chondrite parent body). The S(IV) types can be distinguished from other S-type asteroids on the correla- tions between spectra slope, band depth, and albedo (Gaffey et al., 1993). In addition, probability models for determining aster- oid class and source region (Thomas and Binzel, 2009) have re- cently been developed that may improve the classi?cation of asteroids, particularly in a large sample group. Secondly, it is also important to consider the possible effects of space weathering pro- cesses (Clark et al., 2003). Though asteroid spectra become redder as a result of space weathering, laboratory studies have shown that spectral parameters (i.e. band depth) remain unchanged (Marchie et al., 2005; Sasaki et al., 2001); therefore, interpreted mineralogies and compositions should not be in?uenced by space weathering (Vernazza et al., 2008). Moving beyond simple classi?cation, our calibrations may also allow us to determine the geologic histories of some S-type aster- oids, speci?cally whether they are unaltered (ordinary chondrite) or have experienced partial melting (primitive achondrite). One parameter used to decipher this history is spectrally-derived FeO content, where FeO-rich pyroxene is interpreted as an indicator b Fig. 5. (a) Mol% Fa plotted as a function of ol/(ol + px) in the 38 chondrite samples for which both modal abundances and mineral compositions were analyzed, and (b) spectrally-derived Fa compositions vs. derived ol/(ol + px). Dashed boxes represent the range of XRD-measured ol/(ol + px) (from this study) and the range of measured Fa contents in ordinary chondrites (Brearley and Jones (1998) and references therein). The solid boxes include the least square root mean of the errors on these spectrally-derived values (0.03 for ol/(ol + px) and 1.3 mol% for Fa). Based on derived Fa content and ol/(ol + px), we can correctly classify 86% of H chondrites, 71% of L chondrites, and 100% of LL chondrites.a 08 (2010) 789?797 795of partial melting and chondrite-like FeO compositions are sugges- tive of a primitive asteroid. For this parameter to be useful, derived Fs compositions must be accurate. However, calibrations used to determine Fs values in asteroids (Gaffey et al., 2002; Gaffey, 2007) have been shown to yield higher than measured Fs compo- sitions when applied to mixtures of ordinary chondrite-like com- positions (McCoy et al., 2007), and their limitations when applied to spectra of ordinary chondrite-like compositions has been acknowledged (Gaffey, 2009). Because our calibrations were de- rived entirely from ordinary chondrites, they should provide more accurate Fs compositions and may provide some insight into the partial melting debate. One example is the S-type asteroid Itokawa, which has identi?ed as a possible partial melt based on FeO con- tent (Fs43?5) (Abell et al., 2007) and as an LL-chondrite parent body based on spectral parameters (Abe et al., 2006). Using spectral parameters measured by Thomas and Binzel (2009), we derived an Fs composition of Fs25, which falls into the range of ordinary chondrite FeO values and suggests that partial melting did not occur. When derived ol/ol + px ratios are plotted along with Fs compositions, Itokawa plots in the range de?ned by the LL chondrites. b Fig. 6. (a) Mol% Fs plotted as a function of ol/(ol + px) in the 38 chondrite samples for which both modal abundances and mineral compositions were analyzed, and (b) spectrally-derived Fs compositions vs. derived ol/(ol + px). Dashed boxes represent the range of XRD-measured ol/(ol + px) (from this study) and the range of measured Fs contents in ordinary chondrites (Brearley and Jones (1998) and references therein). The solid boxes include the least square root mean of the errors on these spectrally-derived values (0.03 for ol/(ol + px) and 1.4 mol% for Fs.) Based on derived Fs content and ol/(ol + px), we can correctly classify 86% of H chondrites, 71% of L chondrites, and 100% of LL chondrites. tral features (e.g., Band I and II centers, band area ratios) in both these tools, we can move beyond band parameters to directly dis- us 2cussing asteroid and meteorite properties using a common lan- guage of mineral abundance and composition. Acknowledgments We would like to thank Gordon Cressey, at the Natural History Museum in London, for his assistance in the collection and inter- pretation of XRD modal data, and Takahiro Hiroi, at Brown Univer- sity?s Keck/NASA Re?ectance Experiment Laboratory (RELAB), for collecting VNIR spectra of several samples examined in this study. Thanks also to the Smithsonian Institution and the Natural History Museum for providing powder samples for modal and spectral analysis. We would also like to thank Tom Burbine and Vishnu Reddy for their helpful reviews, which greatly improved this man- uscript. 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