Abstract
The present study discloses the evaluation of second-order elastic constants of wurtzite boron nitride (w-BN) at room temperature and at different pressures using the many-body interaction potential model approach. Orientation- and pressure-dependent ultrasonic velocity, thermal relaxation time and other related thermophysical parameters (Debye temperature, Debye average velocity, specific heat and thermal energy density) are also calculated using the evaluated second-order elastic constants. The orientation-dependent thermal relaxation time of w-BN is predominantly affected by the Debye average velocity and is indirectly governed by second-order elastic constants. Thermal relaxation time of w-BN is found to decrease with pressure. Calculated elastic and ultrasonic properties of w-BN are compared with the properties of other wurtzite structured materials for a complete analysis and characterisation of the material.
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References
E M Levinshtein, L S Rumyantsev and S M Shur, Boron nitride, in: Properties of advanced semiconductor material: GaN, AlN, InN, BN, SiC, SiGe, 10th edn (Wiley Interscience Publication, John Wiley and Sons Inc., New York, 2001) pp. 67–89
I L Berger, Semiconductor material (CRC Press Inc., New York, 1997) p. 112
P Meneghetti, P J Hans and G W Shaffer, U.S. patent, US 7445797 (2008)
H Q Zhou, J X Zhu, Z Liu, Z Yan, X J Fan, J Lin, G Wang, Q Y Yan, T Yu, P M Ajayan and J M Tour, Nano Res. 7(8), 1232 (2014)
W Zhou, S Qi, Q An, H Zhao and N Liu, Mater. Res. Bull. 42(10), 1863 (2007)
E K Sichel, R E Miller, M S Abrahams and C J Buiocchi, Phys. Rev. B 13, 4607 (1976)
A A Balandin, S Ghosh, W Z Bao, I Calizo, D Teweldebrhan, F Miao and C N Lau, Nano Lett. 8, 902 (2008)
K M F Shahil and A A Balandi, Nano Lett. 12, 861 (2012)
J F Green, T K Bolland and J W Bolland, J. Chem. Phys. 64(2), 656 (1976)
M R Wentzcovitch, K J Chang and L M Cohen, Phys. Rev. B 34, 1071 (1986)
M Grimsditch and E S Zouboulis, J. Appl. Phys. 76, 832 (1994)
M B Kanoun, A E Merad, G Merad, J Cibert and H Aourag, Solid-State Electron. 48(9), 1601 (2004)
K Shimada, T Sota and K Suzuku, J. Appl. Phys. 84(9), 4951 (1998)
K Kim, W R L Lambrecht and B Segall, Phys. Rev. B 53(24), 16310 (1996)
V L Solozhenko, D Hausermann, M Mezouar and M Kunz, Appl. Phys. Lett. 72(14), 1691 (1998)
B-R Yu, Z-Y Zeng, H-Z Guo and X-R Chen, Commun. Theor. Phys. 48, 925 (2007)
S Daoud, K Loucif, N Bioud, N Lebgaa and L Belagraa, Pramana – J. Phys. 79(1), 95 (2012)
M R Martin, Phys. Rev. B 6(12), 4546 (1972)
C Kittel, Introduction to solid state physics 7th edn (John Wiley & Sons, Inc, Singapore, New York, 2003) pp. 17, 24, 25, 51
K Brugger, Phys. Rev. 133, A1611 (1964)
P B Ghate, Phys. Rev. 139(5), A1666 (1965)
S Mori and Y Hiki, J. Phys. Soc. Jpn 45(5), 1449 (1978)
D K Pandey and S Pandey, Ultrasonic: A technique of material characterization in acoustic waves edited by D W Dissanayake (Scio Publisher, Sciyo, Croatia, 2010) pp. 397–430
S O Pillai, Solid state physics: Crystal physics, 7th edn (New Age International Publisher, New Delhi, India, 2005) pp. 100–111
D E Gray (ed.), AIP handbook, 3rd edn (McGraw-Hill Co. Inc., New York, 1956) pp. 4-44, 4-45
D K Pandey, D Singh and R R Yadav, Appl. Acoust. 68, 766 (2007)
Acknowledgements
The authors are highly thankful to Prof. R R Yadav, Vice Chancellor, VBS University Jaunpur, UP, India and Dr. Devraj Singh, Amity School of Engineering and Technology, Bijwasn, New Delhi, India for their valuable discussion. The authors also express their thanks to Dr. Suman Singh, Department of English, P.P.N. College, Kanpur, UP, India for his support and help.
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Yadav, C.P., Pandey, D.K. Pressure- and orientation-dependent elastic and ultrasonic characterisation of wurtzite boron nitride. Pramana - J Phys 92, 5 (2019). https://doi.org/10.1007/s12043-018-1666-2
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DOI: https://doi.org/10.1007/s12043-018-1666-2