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Journal of Spectroscopy
Volume 2017, Article ID 6430540, 9 pages
Research Article

Measurement of the Euler Angles of Wurtzitic ZnO by Raman Spectroscopy

Wu Liu,1,2 Qiu Li,1 Gang Jin,1 and Wei Qiu3

1Tianjin Key Laboratory of High Speed Cutting and Precision Machining, School of Mechanical Engineering, Tianjin University of Technology and Education, Tianjin 300222, China
2School of Mechanical and Automotive Engineering, Zhejiang University of Water Resources and Electric Power, Hangzhou 310018, China
3Tianjin Key Laboratory of Modern Engineering Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300072, China

Correspondence should be addressed to Qiu Li; moc.361@jt_iluiq and Wei Qiu; moc.liamtoh@q_lleinad

Received 29 January 2017; Accepted 23 April 2017; Published 8 August 2017

Academic Editor: Jau-Wern Chiou

Copyright © 2017 Wu Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A Raman spectroscopy-based step-by-step measuring method of Euler angles was presented for the wurtzitic crystal orientation on a microscopic scale. Based on the polarization selection rule and coordinate transformation theory, a series of analytic expressions for the Euler angle measurement using Raman spectroscopy were derived. Specific experimental measurement processes were presented, and the measurement of Raman tensor elements and Euler angles of the ZnO crystal were implemented. It is deduced that there is a trigonometric functional relationship between the intensity of each Raman bands of wurtzite crystal and Euler angle , the polarization direction of incident light under different polarization configurations, which can be used to measure the Euler angles. The experimental results show that the proposed method can realize the measurement of Euler angles for wurtzite crystal effectively.