Abstract

Using the natural properties of the lamellar compounds, the ordinary refractive index of GaSe has been induced from interferential patterns of transmission and reflection spectra in the low absorption range and from reflectivity spectra in the polar modes range. An analytic development of the refractive index vs energy can reproduce the measured values of this index and provides the energy gap in the visible range, and values for ωLO and ωTO in the ir range have been used as a parameter to get this fitting.

© 1977 Optical Society of America

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References

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  1. J. L. Brebner, J. A. Deverin, Helv. Phys. Acta 38, 650 (1965).
  2. J. O. Wasscher, J. Dieleman, Phys. Lett. A 39, 279 (1972).
    [CrossRef]
  3. N. Piccioli, J. M. Besson, M. Balkanski, J. Phys. Chem. Solids 35, 971 (1974).
    [CrossRef]
  4. A. Polian, to be published.
  5. T. S. Wieting, J. L. Verble, Phys. Rev. B 5, 1473 (1972).
    [CrossRef]

1974 (1)

N. Piccioli, J. M. Besson, M. Balkanski, J. Phys. Chem. Solids 35, 971 (1974).
[CrossRef]

1972 (2)

T. S. Wieting, J. L. Verble, Phys. Rev. B 5, 1473 (1972).
[CrossRef]

J. O. Wasscher, J. Dieleman, Phys. Lett. A 39, 279 (1972).
[CrossRef]

1965 (1)

J. L. Brebner, J. A. Deverin, Helv. Phys. Acta 38, 650 (1965).

Balkanski, M.

N. Piccioli, J. M. Besson, M. Balkanski, J. Phys. Chem. Solids 35, 971 (1974).
[CrossRef]

Besson, J. M.

N. Piccioli, J. M. Besson, M. Balkanski, J. Phys. Chem. Solids 35, 971 (1974).
[CrossRef]

Brebner, J. L.

J. L. Brebner, J. A. Deverin, Helv. Phys. Acta 38, 650 (1965).

Deverin, J. A.

J. L. Brebner, J. A. Deverin, Helv. Phys. Acta 38, 650 (1965).

Dieleman, J.

J. O. Wasscher, J. Dieleman, Phys. Lett. A 39, 279 (1972).
[CrossRef]

Piccioli, N.

N. Piccioli, J. M. Besson, M. Balkanski, J. Phys. Chem. Solids 35, 971 (1974).
[CrossRef]

Polian, A.

A. Polian, to be published.

Verble, J. L.

T. S. Wieting, J. L. Verble, Phys. Rev. B 5, 1473 (1972).
[CrossRef]

Wasscher, J. O.

J. O. Wasscher, J. Dieleman, Phys. Lett. A 39, 279 (1972).
[CrossRef]

Wieting, T. S.

T. S. Wieting, J. L. Verble, Phys. Rev. B 5, 1473 (1972).
[CrossRef]

Helv. Phys. Acta (1)

J. L. Brebner, J. A. Deverin, Helv. Phys. Acta 38, 650 (1965).

J. Phys. Chem. Solids (1)

N. Piccioli, J. M. Besson, M. Balkanski, J. Phys. Chem. Solids 35, 971 (1974).
[CrossRef]

Phys. Lett. A (1)

J. O. Wasscher, J. Dieleman, Phys. Lett. A 39, 279 (1972).
[CrossRef]

Phys. Rev. B (1)

T. S. Wieting, J. L. Verble, Phys. Rev. B 5, 1473 (1972).
[CrossRef]

Other (1)

A. Polian, to be published.

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Figures (3)

Fig. 1
Fig. 1

Variation of ordinary refractive index vs the wavelength. The figure draws the high variation of n in the phonon energy range.

Fig. 2
Fig. 2

Variation in detail of the refractive index around the exciton energy range and comparison with the variation of the extinction coefficient calculated from absorption coefficient.

Fig. 3
Fig. 3

Experimental and calculated reflectivities. The theoretical reflectivity is deduced from the knowledge of n and k given by the real and imaginary parts of the dielectric constant.

Tables (1)

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Table I Parameters

Equations (7)

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2 n · d · ω ( 1 - sin 2 i n 2 ) 1 / 2 = K ,
K 2 = 4 d 2 n 2 ω 2 - 4 d 2 ω 2 sin 2 i .
R = ( n - 1 ) 2 + k 2 ( n + 1 ) 2 + k 2 ;
( ω ) = A ω 6 + B ω 4 + C ω 2 + + ( ω L O 2 - ω T O 2 ) ω T O 2 - ω 2 - i Γ ω ,
Re ( ) = n 2 - k 2 = A ω 6 + B ω 4 + C ω 2 + + ( ω L O 2 - ω T O 2 ) ( ω T O 2 - ω 2 ) ( ω T O 2 - ω 2 ) 2 + Γ 2 ω 2 ,
J m ( ) = 2 n k = ( ω L O 2 - ω T O 2 ) Γ ω ( ω T O 2 - ω 2 ) 2 + Γ 2 ω 2 .
ω L O = 254.7 cm - 1 , ω T O = 213.5 cm - 1 , and Γ = 3 cm - 1 .

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