Abstract
On the basis of polarized IR-reflection spectra in the range of 5000–350 cm–1 measured from the natural face of an optically transparent fluorapatite single crystal, components of a complex refractive index (optical constants) for radiation-vector orientations E ‖ c and E ⊥ c have been calculated by the Kramers–Kronig method. The fluorapatite single crystal has been chosen from several samples: it contains a minimum amount of impurities and has a high degree of crystallinity in accordance with the criteria of IR spectroscopy and Raman spectroscopy. Tabular data on optical constants for ordinary and extraordinary rays are given for the IR range of 6–28 μm. The obtained absorption spectra are compared with the results of quantum-chemical ab initio calculations within the B3LYP simulation.
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K. B. Steinbruegge, T. Henningsen, R. H. Hopkins, R. Mazelsky, N. T. Melamed, E. P. Riedel, and G. W. Roland, Appl. Opt. 11, 999 (1972).
S. Qi, Y. Huang, T. Tsuboi, W. Huang, and H. J. Seo, Opt. Mater. Express 4, 397 (2014).
N. V. Tkachenko, L. P. Ol’khovik, and A. S. Kamzin, Phys. Solid State 49, 1588 (2007).
P. S. Thakre, S. C. Gedam, S. J. Dhobl, and R. G. Atram, J. Luminesc. 131, 2683 (2011).
J. M. Hughes and J. Rakova, Phosphates: Geochemical, Geobiological and Material Importance, Ed. by M. J. Kohn, J. Rakovan, and J. M. Hughes, Vol. 48 of Reviews in Mineralogy and Geochemistry (Mineral. Soc. Am., Washington, DC, 2002), p. 1.
B. T. Wopenka and J. D. Pasteris, Mater. Sci. Eng. 25, 131 (2005). doi 10.1016/j.msec.2005.01.008
Jiangling Li, Master Thesis (Univ. of Birmingham, UK, 2009).
I. I. Plyusnina, Infrared Spectra of Minerals (Mosk. Gos. Univ., Moscow, 1976) [in Russian].
H. Adler, Am. Mineralogist 49, 1002 (1964).
R. G. Knubovets and L. D. Kislovskii, in Physics of Apatite (Study of Apatite by Spectroscopy Methods), Ed. by V. S. Sobolev (Nauka, Novosibirsk, 1975), p. 63 [in Russian].
M. Veiderma, R. Knubovets, and K. Tönsuaadu, Bull. Geol. Soc. Finland 70, 69 (2007).
Infrared Spectroscopy—Materials Science, Engineering, and Technology, Ed. by Th. Theophanides (InTech, Croatia, 2012).
K. Yamagishi, K. Onuma, T. Suzuki, F. Okada, J. Tagami, M. Otsuki, and P. Senawangse, Nature 433, 819 (2005).
S. Dorozhkin, Materials 2, 1975 (2009). doi 10.3390/ma2041975
Xiaofeng Pang, Hongjuan Zeng, Jialie Liu, Shicheng Wei, and Yufeng Zheng, Mater. Sci. Appl. 1, 81 (2010). doi 10.4236/msa.2010.12015
R. Schuetz, D. Fix, U. Schade, E. F. Aziz, N. Timofeeva, R. Weinkamer, and A. Masic, Molecules 20, 5835 (2015). doi 10.3390/molecules20045835
G. Ulian, G. Valgre, M. Corno, and P. Ugliengo, Am. Mineralogist (2017, in press). doi 10.2138/am.2013.4315
G. Ulian, PhD Thesis in Earth Sciences (Univ. Bologna, 2014).
E. Beery, A. J. Fitzgerald, N. N. Zinov’ev, et al., Proc. SPIE 5030, 459 (2003). doi.org/10.1117/12.479993
B. F. Howell, Jr. and P. E. Licastro, Am. Mineralogist 46, 269 (1961).
L. C. Kravitz, J. D. Kingsley, and E. L. Elkin, J. Chem. Phys. 19, 4600 (1968).
M. J. Zuerlein, D. Fried, J. D. B. Featherstone, and W. Seka, IEEE J. Sel. Top. Quantum Electron. 5, 1083 (1999).
G. Duplain, R. Boulay, and P. A. Belanger, Appl. Opt. 26, 4447 (1987). doi 10.1364/AO.26.004447
R. N. Clark, G. A. Swayze, R. Wise, K. E. Livo, T. M. Hoefen, R. F. Kokaly, and S. J. Sutley, USGS Digital Spectral Library splib06a, U. S. Geological Survey, Data Series 231 (2007). https://crustal.usgs.gov/speclab.
M. Ostrooumov, B. Lasnier, and S. Lefrant, Infrared Reflection Spectrometry of Minerals and Gems, Catalogue of the Spectrum Nantes 1993–2009. http://www.mineralog.net/?page_id=10.
F. F. M. de Mul, M. H. J. Hottenhuis, P. Bouter, J. Greve, J. Arends, and J. J. T. Bosch, J. Dent. Res. 65, 437 (1986).
P. N. de Aza, C. Santos, A. Pazo, S. de Aza, R. Cusco, and L. Artus, Chem. Mater. 9, 912 (1997).
RRUFF Database Raman, X-ray, Infrared, and Chemistry Files. http://www.rruff.info.
L. I. Al’perovich, Method of Dispersion Relations and Its Application for Determination of Optical Characteristics (Irfon, Dushanbe, 1973) [in Russian].
R. Kitamura, L. Pilon, and M. Jonasz, Appl. Opt. 46, 8118 (2007).
D. Y. Smith, Dispersion Theory, Sum Rules, and Their Application to the Analysis of Optical Data, Vol. 1 of Handbook of Optical Constants of Solids, Ed. by E. D. Palik (Academic, San Diego, 1985), p. 35.
V. M. Zolotarev, V. N. Morozov, and E. V. Smirnova, Optical Constants of Natural and Technical Media (Khimiya, Leningrad, 1984) [in Russian].
V. M. Zolotarev, Opt. Spectrosc. 122, 749 (2017).
R. W. Pohl, Optik und Atomphysik (Springer, Berlin, Heidelberg, 1954) [in German].
D. J. Dahm and K. D. Dahm, Interpreting Diffuse Reflectance and Transmittance: A Theoretical Introduction to Absorption Spectroscopy of Scattering Materials (NIR Publ., Chichester, UK, 2007).
I. Rehman and W. Bonfield, J. Mater. Sci.—Mater. Med., no. 8 (1), 1 (1997).
C. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998; Mir, Moscow, 1986).
V. M. Zolotarev, Opt. Spectrosc. 123, 717 (2017).
F. Freund and R. M. Knobel, J. Chem. Soc., Dalton Trans. 11, 1136 (1977).
C. Banwell, Fundamentals of Molecular Spectroscopy (McGraw-Hill, New York, 1994).
M. Corno, C. Busco, B. Civalleri, and P. Ugliengo, Phys. Chem. Chem. Phys. 8, 2464 (2006).
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Original Russian Text © V.M. Zolotarev, 2018, published in Optika i Spektroskopiya, 2018, Vol. 124, No. 2, pp. 264–274.
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Zolotarev, V.M. Optical Constants of an Apatite Single Crystal in the IR Range of 6–28 μm. Opt. Spectrosc. 124, 262–272 (2018). https://doi.org/10.1134/S0030400X18020236
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DOI: https://doi.org/10.1134/S0030400X18020236