Lattice Vibration Spectra of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Ga</mi><mrow><msub><mrow><mi mathvariant="normal">As</mi></mrow><mrow><mi>x</mi></mrow></msub></mrow><mrow><msub><mrow><mi mathvariant="normal">P</mi></mrow><mrow><mn>1</mn><mo>−</mo><mi>x</mi></mrow></msub></mrow></math></span> Single Crystals

Y. S. Chen; W. Shockley; G. L. Pearson

doi:10.1103/PhysRev.151.648

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Lattice Vibration Spectra of $Ga {As}_{x} P_{1 - x}$ Single Crystals

Y. S. Chen^*, W. Shockley, and G. L. Pearson

Stanford Electronics Laboratories, Stanford University, Stanford, California

^*Present address: Bell Telephone Laboratories, Murray Hill, New Jersey.

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Phys. Rev. 151, 648 – Published 11 November, 1966

DOI: https://doi.org/10.1103/PhysRev.151.648

Abstract

The energies of the two-phonon summation bands and the reststrahlen bands have been measured in $Ga {As}_{x} P_{1 - x}$ single crystals. The data were obtained by observing the transmittance and the reflectivity at 300°K in the region of 400 to 800 ${cm}^{- 1}$ and 220 to 500 ${cm}^{- 1}$ , respectively. Crystals were prepared by open-tube epitaxial vapor-growth techniques and were not subject to any free-carrier absorption in the near infrared. The alloys show absorption peaks at frequencies which are only slightly shifted from the transverse optic $TO (Γ)$ phonons, as well as several optical and acoustical zone-boundary phonons, characteristic of both GaP and GaAs. The reststrahlen-like band spectra of these alloys are explained by a virtual-crystal model in which average parabolic potentials are given to the three species of atoms in the lattice. This model does not require the assumption of gross composition inhomogeneities, which are known to be absent in these crystals.

References (19)

P. Dean, Proc. Roy. Soc. (London) A254, 507 (1960)
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G. Picus, E. Burnstein, B. W. Henvis, and M. Hass, J. Phys. Chem. Solids 8, 282 (1959)
R. F. Potter and D. L. Stierwalt, in Proceedings of the International Conference on The Physics of Semiconductors, Paris, 1964 (Academic Press Inc., New York, 1965), p. 1111
R. Braunstein, Phys. Rev. 130, 879 (1963)
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[c1] P. Dean, Proc. Roy. Soc. (London) A254, 507 (1960)

[c2] F. von Oswald, Z. Naturforsch. 14a, 374 (1959)

[c3] G. Picus, E. Burnstein, B. W. Henvis, and M. Hass, J. Phys. Chem. Solids 8, 282 (1959)

[c4] R. F. Potter and D. L. Stierwalt, in Proceedings of the International Conference on The Physics of Semiconductors, Paris, 1964 (Academic Press Inc., New York, 1965), p. 1111

[c5] R. Braunstein, Phys. Rev. 130, 879 (1963)

[c6] R. A. Logan, J. M. Rowell, and F. A. Trumbore, Phys. Rev. 136, A1751 (1964)

[c7] W. Cochran, S. J. Fay, F. A. Johnson, J. E. Quarrington, and N. William, J. Appl. Phys. Suppl. 32, 2102 (1961)

[c8] D. A. Kleinman and W. G. Spitzer, Phys. Rev. 118, 110 (1960)

[c9] W. F. Finch and E. W. Mehal, J. Electrochem. Soc. 111, 814 (1964)

[c10] F. A. Pizzarello, J. Electrochem. Soc. 109, 226 (1962)

[c11] W. G. Spitzer, M. Gershenzon, C. J. Frosch, and D. F. Gibbs, J. Phys. Chem. Solids 11, 339 (1959) R. Eden (private communication)

[c12] D. Loescher and M. Shyam (private communication)

[c13] J. W. Allen, M. Shyam, Y. S. Chen, and G. L. Pearson, Appl. Phys. Letters 7, 78 (1965)

[c14] A. R. Hutson, A. Jayaraman, A. G. Chynoweth, A. S. Coriell, and W. L. Feldman, Phys. Rev. Letters 14, 639 (1965)

[c15] S. Iwasa, I. Balslev, and E. Burnstein, in Proceedings of the International Conference on the Physics of Semiconductors, Paris, 1964 (Academic Press Inc., New York, 1965), p. 1077

[c16] C. Kittell, Introduction to Solid State Physics, 2nd ed., (John Wiley & Sons, Inc., New York, 1961), Chap. 6, p. 154

[c17] G. L. Pearson and F. Vogel, Progr. Semicond. 6, 1 (1962)

[c18] M. Gershenzon and R. M. Mikulyak, J. Appl. Phys. 35, 2132 (1964)

[c19] F. A. Johnson, Progr. Semicond. 9, 179 (1965)

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Lattice Vibration Spectra of $Ga {As}_{x} P_{1 - x}$ Single Crystals

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Lattice Vibration Spectra of GaAsxP1−x Single Crystals

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References (19)

Lattice Vibration Spectra of $Ga {As}_{x} P_{1 - x}$ Single Crystals