The present paper is devoted to the derivation of an alternate and simple method based on the rotation of the crystal in view of the determination of the Raman cross-sections of optical phonon in uniaxial and biaxial crystals. The Raman polarisability tensor whose trace remains invariant under an orthogonal transformation is established as function of the crystal rotation position. The resulting angle dependent Raman scattered intensity is finally used to accurately describe the area under the peak which is measured from the polarised Raman spectra of the lithium niobate single crystal recorded under the backscattering scheme; The extracted parameters from the fit such as integrated areas are then plotted as functions of the crystal rotation angles. This allows to quantitatively determinate the relative phase and the relative values of the Raman tensor elements.
Published in | International Journal of Materials Science and Applications (Volume 4, Issue 6) |
DOI | 10.11648/j.ijmsa.20150406.11 |
Page(s) | 371-378 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Raman Polarisability, Raman Cross-Section, Rotating Crystal, Lithium Niobate
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APA Style
B. Mohamadou, E. Bouhari, R. Erasmus. (2015). An Alternate Method for the Determination of the Raman Cross Sections of Optical Phonons in Uniaxial Crystals: Application to LiNbO3. International Journal of Materials Science and Applications, 4(6), 371-378. https://doi.org/10.11648/j.ijmsa.20150406.11
ACS Style
B. Mohamadou; E. Bouhari; R. Erasmus. An Alternate Method for the Determination of the Raman Cross Sections of Optical Phonons in Uniaxial Crystals: Application to LiNbO3. Int. J. Mater. Sci. Appl. 2015, 4(6), 371-378. doi: 10.11648/j.ijmsa.20150406.11
AMA Style
B. Mohamadou, E. Bouhari, R. Erasmus. An Alternate Method for the Determination of the Raman Cross Sections of Optical Phonons in Uniaxial Crystals: Application to LiNbO3. Int J Mater Sci Appl. 2015;4(6):371-378. doi: 10.11648/j.ijmsa.20150406.11
@article{10.11648/j.ijmsa.20150406.11, author = {B. Mohamadou and E. Bouhari and R. Erasmus}, title = {An Alternate Method for the Determination of the Raman Cross Sections of Optical Phonons in Uniaxial Crystals: Application to LiNbO3}, journal = {International Journal of Materials Science and Applications}, volume = {4}, number = {6}, pages = {371-378}, doi = {10.11648/j.ijmsa.20150406.11}, url = {https://doi.org/10.11648/j.ijmsa.20150406.11}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmsa.20150406.11}, abstract = {The present paper is devoted to the derivation of an alternate and simple method based on the rotation of the crystal in view of the determination of the Raman cross-sections of optical phonon in uniaxial and biaxial crystals. The Raman polarisability tensor whose trace remains invariant under an orthogonal transformation is established as function of the crystal rotation position. The resulting angle dependent Raman scattered intensity is finally used to accurately describe the area under the peak which is measured from the polarised Raman spectra of the lithium niobate single crystal recorded under the backscattering scheme; The extracted parameters from the fit such as integrated areas are then plotted as functions of the crystal rotation angles. This allows to quantitatively determinate the relative phase and the relative values of the Raman tensor elements.}, year = {2015} }
TY - JOUR T1 - An Alternate Method for the Determination of the Raman Cross Sections of Optical Phonons in Uniaxial Crystals: Application to LiNbO3 AU - B. Mohamadou AU - E. Bouhari AU - R. Erasmus Y1 - 2015/12/07 PY - 2015 N1 - https://doi.org/10.11648/j.ijmsa.20150406.11 DO - 10.11648/j.ijmsa.20150406.11 T2 - International Journal of Materials Science and Applications JF - International Journal of Materials Science and Applications JO - International Journal of Materials Science and Applications SP - 371 EP - 378 PB - Science Publishing Group SN - 2327-2643 UR - https://doi.org/10.11648/j.ijmsa.20150406.11 AB - The present paper is devoted to the derivation of an alternate and simple method based on the rotation of the crystal in view of the determination of the Raman cross-sections of optical phonon in uniaxial and biaxial crystals. The Raman polarisability tensor whose trace remains invariant under an orthogonal transformation is established as function of the crystal rotation position. The resulting angle dependent Raman scattered intensity is finally used to accurately describe the area under the peak which is measured from the polarised Raman spectra of the lithium niobate single crystal recorded under the backscattering scheme; The extracted parameters from the fit such as integrated areas are then plotted as functions of the crystal rotation angles. This allows to quantitatively determinate the relative phase and the relative values of the Raman tensor elements. VL - 4 IS - 6 ER -