Kramers–Kronig Dispersion Analysis of Infrared Reflectance Bands*

Andermann, G.; Caron, A.; Dows, David A.

doi:10.1364/josa.55.001210

Cited by 139 publications

(15 citation statements)

References 12 publications

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“…Out of the 35 expected from symmetry analysis 32 peaks are observed (8 in Blu, 12 in (Spitzer et al 1962;Andermann et al 1965) are given in Table 2, along with those from former IR single-crystal studies (Servoin and Piriou 1973;Isihi 1978;Hofmeister 1987). There is a general agreement within a few wavenumbers for most of the intense bands with the three single-crystal IR reflectance studies published so far (Servoin and Piriou 1973;Iishi 1978;Hofmeister 1987).…”

Section: Forsteritesupporting

confidence: 59%

Single-crystal infrared reflectivity of pure Mg2SiO2 forsterite and (Mg0.86,Fe0.14)2SiO4 olivine

Reynard

1991

Phys Chem Minerals

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Abstract. New polarized infrared reflectance spectra of pure synthetic forsterite and natural Fo86-olivine have been recorded from 5000 to 100 cm -1. Out of the 35 expected infrared active modes, 33 have been observed (8 BI,, 12 B2., 13 B3u). The observed frequency shift from pure forsterite to Fo86-olivine is consistent with the higher mass of the substituted iron. The substitution of only 14% of iron also reduces the overal far-infrared reflectivity of olivine as compared to pure forsterite. Several discrepancies associated with previous studies of forsterite are explained by our investigation. We suggest that some of the previous investigations were complicated by polarization mixing. Experimental Procedure Sample PreparationTwo samples were used:-a single-crystal of synthetic pure Mg2SiO4 forsterite grown by the Czochralski method (sample kindly provided by Y. Gueguen, IPG Strasbourg); a single-crystal of natural (Mgo.s6,Feo.14)2SiO4 olivine from the Red Sea.Samples were oriented by X-ray diffraction, cut and polished along the (100) (010) and (001) planes. Typical sample areas were between 50 and 100 mm 2 for the synthetic sample and natural olivine. The accuracy of sample orientation during spectra collection was better than 3 ~ .

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Section: Forsteritesupporting

confidence: 59%

Single-crystal infrared reflectivity of pure Mg2SiO2 forsterite and (Mg0.86,Fe0.14)2SiO4 olivine

Reynard

1991

Phys Chem Minerals

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“…The accuracy of peak positions in all cases is _+0.1 cm -1. Data from the two spectra ranges were merged and a Kramers Kronig analysis (e.g., Andermann et al 1965) was performed in order to obtain TO and longitudinal optic (LO) peak positions. The result was confirmed by using classical dispersion analysis (e.g., Spitzer et al 1962) to construct synthetic spectra from a set of TO peak positions vi, full widths at half height gi, and oscillator strengthf~.…”

Section: Methodsmentioning

confidence: 99%

Vibrational spectroscopy of aluminate spinels at 1 atm and of MgAl2O4 to over 200 kbar

1991

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Abstract. Single-crystal Raman and infrared reflectivity data including high pressure results to over 200 kbar on a natural, probably fully ordered MgA1204 spinel reveal that many of the reported frequencies from spectra of synthetic spinels are affected by disorder at the cation sites. The spectra are interpreted in terms of factor group analysis and show that the high energy modes are due to the octahedral internal modes, in contrast to the behavior of silicate spinels, but in agreement with previous data based on isotopic and chemical cation substitutions and with new Raman data on gahnite (~ ZnAI204) and new IR reflectivity data on both gahnite and hercynite (~Feo.ssMgo.42A1204). Therefore, aluminate spinels are inappropriate as elastic or thermodynamic analogs for silicate spinels.Fluorescence sideband spectra yield complementary information on the vibrational modes and provide valuable information on the acoustic modes at high pressure. The transverse acoustic modes are nearly pressure independent, which is similar to the behavior of the shear modes previously measured by ultrasonic techniques. The pressure derivative of all acoustic modes become negative above 110 kbar, indicating a lattice instability, in agreement with previous predictions. This lattice instability lies at approximately the same pressure as the disproportionation of spinel to MgO and A1203 reported in high temperature, high pressure work.

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“…The IR data were merged and a Kramers-Kronig analysis (e.g., Andermann et al 1965) was performed on the unpolarized data. The single-crystal spectra were scaled such that the height of its most intense peak matched the same peak for the polycrystal.…”

Section: Methodsmentioning

confidence: 99%

Thermodynamic properties of MgSiO3 ilmenite from vibrational spectra

Hofmeister

Ito

1992

Phys Chem Minerals

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Abstract. Unpolarized infrared (IR) reflectance spectra for MgSiO3 ilmenite taken from a single-crystal and from a densly packed polycrystalline sample possessed all eight peaks mandated by symmetry between 337 and 850 cm-5. Polarizations were inferred from intensity differences between the two samples. IR peak positions differ by up to 250 cm-~ from recent calculations, but on average are within 11%. Heat capacity Cp calculated from these data by using a Kieffer-type model are within the experimental uncertainty of calorimetric measurements from 170 to 700 K. Outside this range, calculated Cp is probably accurate within a few percent, based on recent results for garnets. Calculated entropy is only slightly less accurate, giving S o (298.15 K) as 54.1 +_ 0.5 J/ mol-K, which is 10% lower than recent estimates based on phase equilibria. The slope of the phase boundary between ilmenite and perovskite is used to predict S o (298.15 K) of perovskite as 58.7 + 1.4 J/tool-K, which is 10% lower than previous values.

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Kramers–Kronig Dispersion Analysis of Infrared Reflectance Bands*

Cited by 139 publications

References 12 publications

Single-crystal infrared reflectivity of pure Mg2SiO2 forsterite and (Mg0.86,Fe0.14)2SiO4 olivine

Single-crystal infrared reflectivity of pure Mg2SiO2 forsterite and (Mg0.86,Fe0.14)2SiO4 olivine

Vibrational spectroscopy of aluminate spinels at 1 atm and of MgAl2O4 to over 200 kbar

Thermodynamic properties of MgSiO3 ilmenite from vibrational spectra

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