Abstract
Pressure-dependent mechanical, vibrational and Raman spectroscopic study of the cubic boron nitride in context of recent experimental Raman spectroscopic has been performed using theab initio calculations based on density functional theory. Detailed analysis of the pressure-dependent mechanical and phonon properties shows that the pressure significantly affects the elastic constants and phonon frequencies. There is a systematic variation of elastic properties with pressure while a polynomial expression is used to fit the pressure dependence of the Raman shift. The longitudinal optical–transverse optical (LO-TO) splitting reduces with pressure, and the intensity of both LO and TO peaks start diminishing after 750 GPa. The phonon dispersion curves up to 1000 GPa indicate its dynamical stability. The lower slope of frequency versus pressure for the LO and TO modes at higher pressures suggests its use for pressure calibration at higher pressures.
Similar content being viewed by others
References
N. Miyata, K. Moriki, O. Mishima, M. Fujisawa, and T. Hattori, Phys. Rev. B 40, 12028 (1989).
R.M. Wentzcovitch, M.L. Cohen, and P.K. Lam, Phys. Rev. B 36, 6058 (1987).
J. Furthmüller, J. Hafner, and G. Kresse, Phys. Rev. B 50, 15606 (1994).
K. Albe, Phys. Rev. B 55, 6203 (1997).
G. Kern, G. Kresse, and J. Hafner, Phys. Rev. B 59, 8551 (1999).
A. Janotti, S.-H. Wei, and D.J. Singh, Phys. Rev. B 63, 115207 (2001).
E.V. Jakovenko, I.V. Aleksandrov, A.F. Goncharov, and S.M. Stishov, Zh. Eksp. Teor. Fiz. 95, 2097 (1989) [Sov. Phys. JETP 68, 1213 (1989)].
E. Knittle, R. Wentzcovitch, R. Jeanloz, and M. Cohen, Nature 337, 349 (1989).
A.F. Gonocharov, J.C. Crowhurst, J.K. Dewhurst, and S. Sharma, Phys. Rev. B 72, 100104(R) (2005).
S. Mukhopadhyay and D.A. Stewart, Phy. Rev. Lett. 113, 025901 (2014).
K. Karch and F. Bechstedt, Phys. Rev. B 56, 12 (1997).
P.F. Wang, Z.H. Li, and Y.M. Zhu, Solid State Sci. 13, 1041 (2011).
X.T. Luo and C.J. Li, J. Therm. Spray Technol. 21, 578 (2012).
Y. Tian, et al., Nature 493, 385 (2013).
S. Ono, K. Mibe, N. Hirao, and Y. Ohishi, J. Phys. Chem. Solids 76, 120 (2015).
C.H. Lin and C.W. Liu, Sensors 10, 8797 (2010).
L.H. Chen, Infrared Laser Eng. 37, 1 (2008).
A. Soltani, H.A. Barkad, M. Mattalah, B. Benbakhti, J.C. De Jaeger, Y.M. Chong, Y.S. Zou, W.J. Zhang, S.T. Lee, A. BenMoussa, B. Giordanengo, and J.F. Hochedez, Appl. Phys. Lett. 92, 053501 (2008).
J.A. Sanjurjo, E. López-Cruz, P. Vogl, and M. Cardona, Phys. Rev. B 28, 4579 (1983).
I.V. Aleksandrov, A.F. Goncharov, E.V. Yakovenko, and S.M. Stishov, High-Pressure Research: Application to Earth and Planetary Sciences, ed. Y. Syono and M.H. Manghnani (Washington-Tokyo: Terrapub-AGU, 1992), pp. 409.
A.D. Alvarenga, M. Grimsditch, and A. Polian, J. Appl. Phys. 72, 1955 (1992).
H. Herchen and M.A. Cappelli, Phys. Rev. B 47, 14193 (1993).
T. Kawamoto, K.N. Matsukage, T. Nagai, K. Nishimura, T. Mataki, S. Ochiai, and T. Taniguchi, Rev. Sci. Instrum. 75, 2451 (2004).
F. Datchi and B. Canny, Phys. Rev. B 69, 144106 (2004).
Z.Y. Mijbil, J. Bababylon Univ. 18, 1686 (2010).
Z.Y. Mijbil, Chem. Mater. Res. 2, 30 (2012).
N. de Koker, J. Phys. Condens. Matter 24, 055401 (2012).
P. Giannozzi, et al., J. Phys. Condens. Matter 21, 395502 (2009).
J.P. Perdew and A. Zunger, Phys. Rev. B 23, 5048 (1981).
C. Hartwigsen, S. Goedecker, and J. Hutter, Phys. Rev. B 58, 3641 (1998)
S. Baroni, P. Giannozzi, and A. Testa, Phys. Rev. Lett. 58, 1861 (1987).
X. Gonze, Phys. Rev. A 52, 1086 (1995).
P. Giannozzi, S. de Gironcoli, P. Pavone, and S. Baroni, Phys. Rev. B 43, 7231 (1991).
V.A. Pesin, Sverktverd. Mater. 6, 5 (1980).
S. Daoud, K. Loucif, N. Bioud, and N. Lebgaa, Acta Phys. Pol. A 122, 109 (2012).
E. Knittle, R.M. Wentzcovitsch, R. Jeanloz, and M.L. Cohen, Nature 337, 349 (1989).
F.D. Murnaghan, Proc. Natl. Acad. Sci. USA 30, 244 (1994).
R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957).
S. Daoud and N. Bioud, Ukr. J. Phys. 59, 418 (2014)
L.Q. Zhang, Y. Cheng, and Z.W. Niu, J. Atomic Mol. Sci. 5, 81 (2014).
W.J. Tropf, M.F. Thomas, and T.J. Harris, Properties of Crystals and Glasses, Handbook of Optics, Vol. IV (New York: McGraw-Hill, 2004).
W.A. Brantley, J. Appl. Phys. 44, 534 (1973).
S. Singh and M. Sarwan, J. Optoelectron. Adv. Mater. 12, 2106 (2010).
R.E. Newnham, Properties of Materials: Anisotropy, Symmetry, Structure (Oxford: Oxford University Press, 2005).
D.A. Broido, L. Lindsay, and A. Ward, Phys. Rev. B 86, 115203 (2012).
L. Bergman and R.J. Nemanich, Annu. Rev. Mater. Sci. 26, 5511996 (1996).
Acknowledgements
Authors are grateful to the Ministry of Earth Sciences and Science and the Engineering Research Board (SERB), Govt. of India, for financial assistance. One of us, VM, acknowledge the young scientist award from SERB.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pillai, S.B., Mankad, V. & Jha, P.K. Vibrational and Raman Spectroscopic Study of Cubic Boron Nitride Under Pressure Using Density Functional Theory. J. Electron. Mater. 46, 5259–5264 (2017). https://doi.org/10.1007/s11664-017-5527-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11664-017-5527-4