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The Second-Order 13C Diamond Raman Spectrum: An Introduction to Vibrational Spectroscopy of the Solid State

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Ole Faurskov Nielsen

Department of Chemistry, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark

Elizabeth Shabanova

CISMI, University of Copenhagen, DK-2100 Copenhagen, Denmark

Mikkel Nissum

Department of Chemistry, Odense University, DK-5230 Odense, Denmark

J. Chem. Educ., 2000, 77 (5), p 633

DOI: 10.1021/ed077p633

Publication Date (Web): May 1, 2000

Abstract

A synthetic diamond with high ¹³C concentration was investigated by the use of Raman spectroscopy. The exact ¹³C concentration was determined from the position and width of the single band in the first-order spectrum using established relations between these values and the ¹³C content (Hass, K. C., et al. Phys. Rev. B 1992, 45, 7171-7182). The concepts of optical and acoustical phonons, first Brillouin zone, and dispersion curves are introduced to explain the appearance of the second-order Raman spectrum of ¹³C diamond. By using the criteria of energy and wave vector conservation in the Raman scattering process, it is shown how detailed information about band positions and intensities can be extracted directly from the dispersion curves, explaining the rather complicated spectrum in a conceptually easy way.