Abstract

Far-infrared measurements on oriented bismuth deposits have yielded the indexes of absorption and refraction together with the electrical conductivities and dielectric constants, as well as the relaxation times of the holes and electrons in the deposits. The dielectric constants for these deposits have been found to approach the value zero near the wavelength of the reflection minimum. The reduced masses for the electrical carriers derived from the measurements here are found to be in fair agreement with values determined by other methods.

© 1963 Optical Society of America

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References

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  1. L. Harris and A. L. Loeb, J. Opt. Soc. Am. 45, 179 (1955).
    [Crossref]
  2. W. Woltersdorf, Z. Physik 91, 231 (1934).
    [Crossref]
  3. L. Harris and John Piper, J. Opt. Soc. Am. 52, 223 (1962).
    [Crossref]
  4. D. Hubbard, Anal. Chem. 20, 363 (1948).
    [Crossref]
  5. L. Harris, J. Opt. Soc. Am. 51, 80 (1961).
    [Crossref]
  6. L. Harris and P. Fowler, J. Opt. Soc. Am. 51, 164 (1961).
    [Crossref]
  7. B. Abeles and S. Meiboom, Phys. Rev. 101, 544 (1956).
    [Crossref]
  8. W. F. Leverton and A. J. Dekker, Phys. Rev. 81, 156 (1951).
    [Crossref]
  9. C. T. Lane, Phys. Rev. 48, 193 (1933).
    [Crossref]
  10. W. Bussem, F. Gross, and K. Herrmann, Z. Physik 64, 537 (1939).
    [Crossref]
  11. M. N. Markov and I. S. Linstrem, Opt. i Spektroskopiya 7, 349 (1959) [Engl. Transl. Opt. Spectry. 7, 228 (1959)].
  12. M. N. Markov and A. S. Khaikin, Opt. i Spectroskopiya 9, 487 (1960) [Eng. Transl. Opt. Spectry. 9, 253 (1960)].
  13. B. Lax and J. G. Mavroides, Solid State Phys. 11, 394 (1960).
  14. J. K. Galt and others, Phys. Rev. 114, 1396 (1959).
    [Crossref]
  15. J. E. Aubrey and R. G. Chambers, J. Phys. Chem. Solids 3, 128 (1957).
    [Crossref]

1962 (1)

1961 (2)

1960 (2)

M. N. Markov and A. S. Khaikin, Opt. i Spectroskopiya 9, 487 (1960) [Eng. Transl. Opt. Spectry. 9, 253 (1960)].

B. Lax and J. G. Mavroides, Solid State Phys. 11, 394 (1960).

1959 (2)

J. K. Galt and others, Phys. Rev. 114, 1396 (1959).
[Crossref]

M. N. Markov and I. S. Linstrem, Opt. i Spektroskopiya 7, 349 (1959) [Engl. Transl. Opt. Spectry. 7, 228 (1959)].

1957 (1)

J. E. Aubrey and R. G. Chambers, J. Phys. Chem. Solids 3, 128 (1957).
[Crossref]

1956 (1)

B. Abeles and S. Meiboom, Phys. Rev. 101, 544 (1956).
[Crossref]

1955 (1)

1951 (1)

W. F. Leverton and A. J. Dekker, Phys. Rev. 81, 156 (1951).
[Crossref]

1948 (1)

D. Hubbard, Anal. Chem. 20, 363 (1948).
[Crossref]

1939 (1)

W. Bussem, F. Gross, and K. Herrmann, Z. Physik 64, 537 (1939).
[Crossref]

1934 (1)

W. Woltersdorf, Z. Physik 91, 231 (1934).
[Crossref]

1933 (1)

C. T. Lane, Phys. Rev. 48, 193 (1933).
[Crossref]

Abeles, B.

B. Abeles and S. Meiboom, Phys. Rev. 101, 544 (1956).
[Crossref]

Aubrey, J. E.

J. E. Aubrey and R. G. Chambers, J. Phys. Chem. Solids 3, 128 (1957).
[Crossref]

Bussem, W.

W. Bussem, F. Gross, and K. Herrmann, Z. Physik 64, 537 (1939).
[Crossref]

Chambers, R. G.

J. E. Aubrey and R. G. Chambers, J. Phys. Chem. Solids 3, 128 (1957).
[Crossref]

Dekker, A. J.

W. F. Leverton and A. J. Dekker, Phys. Rev. 81, 156 (1951).
[Crossref]

Fowler, P.

Galt, J. K.

J. K. Galt and others, Phys. Rev. 114, 1396 (1959).
[Crossref]

Gross, F.

W. Bussem, F. Gross, and K. Herrmann, Z. Physik 64, 537 (1939).
[Crossref]

Harris, L.

Herrmann, K.

W. Bussem, F. Gross, and K. Herrmann, Z. Physik 64, 537 (1939).
[Crossref]

Hubbard, D.

D. Hubbard, Anal. Chem. 20, 363 (1948).
[Crossref]

Khaikin, A. S.

M. N. Markov and A. S. Khaikin, Opt. i Spectroskopiya 9, 487 (1960) [Eng. Transl. Opt. Spectry. 9, 253 (1960)].

Lane, C. T.

C. T. Lane, Phys. Rev. 48, 193 (1933).
[Crossref]

Lax, B.

B. Lax and J. G. Mavroides, Solid State Phys. 11, 394 (1960).

Leverton, W. F.

W. F. Leverton and A. J. Dekker, Phys. Rev. 81, 156 (1951).
[Crossref]

Linstrem, I. S.

M. N. Markov and I. S. Linstrem, Opt. i Spektroskopiya 7, 349 (1959) [Engl. Transl. Opt. Spectry. 7, 228 (1959)].

Loeb, A. L.

Markov, M. N.

M. N. Markov and A. S. Khaikin, Opt. i Spectroskopiya 9, 487 (1960) [Eng. Transl. Opt. Spectry. 9, 253 (1960)].

M. N. Markov and I. S. Linstrem, Opt. i Spektroskopiya 7, 349 (1959) [Engl. Transl. Opt. Spectry. 7, 228 (1959)].

Mavroides, J. G.

B. Lax and J. G. Mavroides, Solid State Phys. 11, 394 (1960).

Meiboom, S.

B. Abeles and S. Meiboom, Phys. Rev. 101, 544 (1956).
[Crossref]

Piper, John

Woltersdorf, W.

W. Woltersdorf, Z. Physik 91, 231 (1934).
[Crossref]

Anal. Chem. (1)

D. Hubbard, Anal. Chem. 20, 363 (1948).
[Crossref]

J. Opt. Soc. Am. (4)

J. Phys. Chem. Solids (1)

J. E. Aubrey and R. G. Chambers, J. Phys. Chem. Solids 3, 128 (1957).
[Crossref]

Opt. i Spectroskopiya (1)

M. N. Markov and A. S. Khaikin, Opt. i Spectroskopiya 9, 487 (1960) [Eng. Transl. Opt. Spectry. 9, 253 (1960)].

Opt. i Spektroskopiya (1)

M. N. Markov and I. S. Linstrem, Opt. i Spektroskopiya 7, 349 (1959) [Engl. Transl. Opt. Spectry. 7, 228 (1959)].

Phys. Rev. (4)

B. Abeles and S. Meiboom, Phys. Rev. 101, 544 (1956).
[Crossref]

W. F. Leverton and A. J. Dekker, Phys. Rev. 81, 156 (1951).
[Crossref]

C. T. Lane, Phys. Rev. 48, 193 (1933).
[Crossref]

J. K. Galt and others, Phys. Rev. 114, 1396 (1959).
[Crossref]

Solid State Phys. (1)

B. Lax and J. G. Mavroides, Solid State Phys. 11, 394 (1960).

Z. Physik (2)

W. Bussem, F. Gross, and K. Herrmann, Z. Physik 64, 537 (1939).
[Crossref]

W. Woltersdorf, Z. Physik 91, 231 (1934).
[Crossref]

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Figures (3)

Fig. 1
Fig. 1

Reflectance and transmittance of bismuth deposits in the far infrared.

Fig. 2
Fig. 2

Indexes of absorption (k) and refraction (n) of a bismuth deposit in the far infrared.

Fig. 3
Fig. 3

(Reduced conductivity per square)−1 vs (frequency)2 of bismuth deposits.

Tables (5)

Tables Icon

Table I Hall coefficients and electrical conductivities of bismuth deposits.

Tables Icon

Table II n and k values derived from R and T measurements.

Tables Icon

Table III n(k) values near the reflectance minimum.

Tables Icon

Table IV Relaxation times derived from electrical and optical measurements.

Tables Icon

Table V Effective masses of the carriers in bismuth.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

n 2 k 2 = μ c σ a / ( 4 π a / λ ) 1 ,
( 1 / μ c σ a ) = [ 1 + τ 2 ( 2 π c / λ ) 2 ] ( 1 / μ c σ d c a ) .
μ c σ a = μ c a [ σ n ( dc ) 1 + ( 2 π ν τ n ) 2 + σ p ( dc ) 1 + ( 2 π ν τ p ) 2 ] ,
σ n = N e τ n ( 1 / m n * ) ;             σ p = P e τ p ( 1 / m p * ) ,