Journal of Pure and Applied Ultrasonics

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Temperature and Frequency Dependence of Acoustic Attenuation in Pure Semiconductors


Affiliations
1 Department of Physics, Bajaj College of Science, Wardha-442 001, India
 

Real solids show a deviation from perfectly elastic behavior and exhibit anharmonicity due to existence of zero-point energy, owing to which, a stress wave in the form of high frequency acoustic wave, travelling through it, gets attenuated. In the present work, some acoustic properties of pure semiconductors germanium and silicon, are investigated within temperature range 73-293 K, by making use of second and third order elastic constants. Assuming a temperature dependent non-linearity parameter DL, DS, the acoustic wave attenuation 'A' is calculated for longitudinal waves of frequency 286 MHz and 495 MHz and for shear waves of 495 MHz, propagating in pure germanium and silicon. The Akhieser losses leading to attenuation are attributed mainly to phonon-phonon interactions within the solid. Attenuation of high frequency waves is found to be strongly temperature and frequency dependent. Theoretically calculated values of attenuation 'A' show good agreement with experimental values obtained earlier.

Keywords

Acoustic Wave Attenuation, Longitudinal Waves, Shear Waves, Elastic Constants.
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  • Einspruch N., Ultrasonic effects in semiconductors, Solid State Phys., 17 (1965) 217-268.

  • Mason W.P., Ultrasonic attenuation due to lattice-electron interaction in normal conducting metals, Phys. Rev. 97 (1955) 557.

  • Mason W.P., Piezoelectric Crystals and their Applications to Ultrasonics, (Van Nostrand: New York) (1950).

  • Mason W.P., Physical Acoustics, edited by W.P. Mason and R.N. Thurston (Academic Press: New York) (1964).

  • Maris H.J., Physical Acoustics, edited by W.P. Mason and R.N. Thurston (Academic Press, New York) (1971).

  • Akhiezer A.J., On the absorption of sound in solids, J. Phys. (Moscow). 1 (1939) 277-287.

  • Morse R.W., Ultrasonic attenuation in metals by electron relaxation, Phys. Rev. 97 (1955) 1716.

  • Kor S.K. and Singh R.K., Ultrasonic attenuation in normal valence semiconductors, Acustica, 80 (1994) 83-87.

  • Barrett H.H. and Holland M.G., Critique of current theories of Akhieser damping in solids, Phys. Rev. B, 1 (1970) 2538-2544.

  • Nava R., Vecchi M., Romero J. and Fernandez B., Akhiezer damping and the thermal conductivity of pure and impure dielectrics, Phys. Rev. B, 14 (1976) 800-807.

  • Mason W.P. and Bateman T.B., Ultrasonic wave propagation in pure silicon and germanium, J. Acoust. Soc. Am., 36 (1964) 645-655.

  • Mason W.P., Effect of Impurities and phonon processes on the ultrasonic attenuation of germanium, crystal quartz and Silicon, In: W.P. Mason, Ed., Physical Acoustics, (Academic Press, New York) III B (1965) 235-285.

  • Joharapurkar D.N., Rajagopalan S. and Basu B.K., Ultrasonic velocity, attenuation and nonlinearity constant in pure and Cd-Doped KCl, Phys. Rev. B, 37(6) (1988) 3101-3104.

  • Nandanpawar M. and Rajagopalan S., Ultrasonic attenuation in copper and the temperature dependence of the nonlinearity parameter, Phys. Rev. B, 18(10) (1988) 5410-5412.

  • Joharapurkar D.N., Gerlich D. and Breazeale M., Temperature dependence of elastic nonlinearities in single crystal gallium arsenide, J. Appl. Phys., 72 (1990) 2202-2208.

  • Mason W.P. and Bateman T.B., Relation between thirdorder elastic moduli and the thermal attenuation of ultrasonic waves in non-conducting and metallic crystals, J. Acoust. Soc. Am., 40(4) (1966) 852-862.

  • Bagade S.H. and Ghodki V.M., Study of high frequency acoustic wave attenuation in semiconductor silicon at different temperatures, J. Pure Appl. Ultrason., 35 (2013) 56-58.

  • Achenbach J.D., Wave propagation in elastic solids, 1st edition, North-Holland (1984).

  • Knopoff L. and Gordon J.F., Attenuation of small amplitude stress waves in solids, Rev. Mod. Physics, 30 (1958) 1178.

  • Shackelford J.F., Introduction tomaterial science for engineers, 3rd ed. (Macmillan) (1992).

  • Weast R.C., Hand book of chemistry and physics, CRC Press (Princeton Uni.) (1988).

  • Hiki Y.J., Higher order elastic constants of solids, Annu. Rev. Mater. Sci., 11 (1981) 51-73.

  • Legrand R., Huynh A., Jusserand B., Perrin B. and Lemaître A., Direct measurement of coherent subterahertz acoustic phonons mean free path in GaAs, Phys. Rev. B. 93 (2016) 184304.

  • Gokhale V. and Rais-Zadeh M., Phonon-electron interactions in piezoelectric semiconductor bulk acoustic wave resonators, Sci. Rep. 4 (2015) 5617.

  • Tripathi S., Agarwal R. and Singh D., Size dependent ultrasonic and thermophysical properties of indium phosphide nanowires, Z. Naturforsch. 75 (2020) 373-380.


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  • Temperature and Frequency Dependence of Acoustic Attenuation in Pure Semiconductors

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Authors

Sanjay H. Bagade
Department of Physics, Bajaj College of Science, Wardha-442 001, India

Abstract


Real solids show a deviation from perfectly elastic behavior and exhibit anharmonicity due to existence of zero-point energy, owing to which, a stress wave in the form of high frequency acoustic wave, travelling through it, gets attenuated. In the present work, some acoustic properties of pure semiconductors germanium and silicon, are investigated within temperature range 73-293 K, by making use of second and third order elastic constants. Assuming a temperature dependent non-linearity parameter DL, DS, the acoustic wave attenuation 'A' is calculated for longitudinal waves of frequency 286 MHz and 495 MHz and for shear waves of 495 MHz, propagating in pure germanium and silicon. The Akhieser losses leading to attenuation are attributed mainly to phonon-phonon interactions within the solid. Attenuation of high frequency waves is found to be strongly temperature and frequency dependent. Theoretically calculated values of attenuation 'A' show good agreement with experimental values obtained earlier.

Keywords


Acoustic Wave Attenuation, Longitudinal Waves, Shear Waves, Elastic Constants.

References