Abstract

The extinction coefficients, k, of sodium and potassium have been found by measuring the transmittance of vacuum-evaporated films 400–900 nm thick deposited on quartz or lithium fluoride substrates. Corrections were made for losses due to surface reflections, substrate absorption, and contamination of the exposed surface of the metal. Previously determined values of the refractive indices, n, of Na and K were used to compute the imaginary part, 2 = 2nk, of the dielectric constant. Above the interband energies, at 2–3 eV, 2 for both Na and K decreases rapidly with increasing photon energy up to the plasma energy. Beyond the plasma energy, 2 remains nearly constant within the limits of our measurements. The values of 2 for K are more than twice those for Na in the region above the plasma energy.

© 1969 Optical Society of America

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  1. M. H. El Naby, Z. Physik 174, 269 (1963);H. Mayer and M. H. El Naby, Z. Physik 174, 280 (1963);H. Mayer and M. H. El Naby, Z. Physik 174, 289 (1963).
  2. H. Mayer and B. Hietel, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North–Holland Publ. Co., Amsterdam, 1966).
  3. M. H. El Naby, thesis, Bergakademie Clausthal, Germany (1962).
  4. B. Hietel, thesis, Bergakademie Clausthal, Germany (1965).
  5. N. V. Smith, Phys. Rev. 21, 96 (1968).
  6. H. E. Ives and H. G. Briggs, J. Opt. Soc. Am. 27, 181 (1937) and references cited therein.
  7. H. E. Ives and H. B. Briggs, J. Opt. Soc. Am. 26, 238 (1936) and references cited therein.
  8. J. C. Sutherland, E. T. Arakawa, and R. N. Hamm, J. Opt. Soc. Am. 57, 645 (1967).
  9. J. C. Sutherland and E. T. Arakawa, J. Opt. Soc. Am. 58, 1080 (1968).
  10. For example, see Ref. 2.
  11. R. J. Esposito, L. Muldawer, and P. E. Bloomfield, Phys. Rev. 168, 744 (1968).
  12. J. C. Sutherland, R. N. Hamm, J. R. Stevenson, and E. T. Arakawa, Oak Ridge National Laboratory Report ORNL-TM-1776 (1967).
  13. R. C. Vehse, J. C. Sutherland, and E. T. Arakawa, Rev. Sci. Instr. 39, 268 (1968).
  14. J. S. Nadeau and W. G. Johnston, J. Appl. Phys. 32, 2563 (1961).
  15. W. R. Hunter, J. Phys. Radium 25, 154 (1964).

1968 (4)

N. V. Smith, Phys. Rev. 21, 96 (1968).

J. C. Sutherland and E. T. Arakawa, J. Opt. Soc. Am. 58, 1080 (1968).

R. J. Esposito, L. Muldawer, and P. E. Bloomfield, Phys. Rev. 168, 744 (1968).

R. C. Vehse, J. C. Sutherland, and E. T. Arakawa, Rev. Sci. Instr. 39, 268 (1968).

1967 (1)

1964 (1)

W. R. Hunter, J. Phys. Radium 25, 154 (1964).

1963 (1)

M. H. El Naby, Z. Physik 174, 269 (1963);H. Mayer and M. H. El Naby, Z. Physik 174, 280 (1963);H. Mayer and M. H. El Naby, Z. Physik 174, 289 (1963).

1961 (1)

J. S. Nadeau and W. G. Johnston, J. Appl. Phys. 32, 2563 (1961).

1937 (1)

1936 (1)

Arakawa, E. T.

R. C. Vehse, J. C. Sutherland, and E. T. Arakawa, Rev. Sci. Instr. 39, 268 (1968).

J. C. Sutherland and E. T. Arakawa, J. Opt. Soc. Am. 58, 1080 (1968).

J. C. Sutherland, E. T. Arakawa, and R. N. Hamm, J. Opt. Soc. Am. 57, 645 (1967).

J. C. Sutherland, R. N. Hamm, J. R. Stevenson, and E. T. Arakawa, Oak Ridge National Laboratory Report ORNL-TM-1776 (1967).

Bloomfield, P. E.

R. J. Esposito, L. Muldawer, and P. E. Bloomfield, Phys. Rev. 168, 744 (1968).

Briggs, H. B.

Briggs, H. G.

El Naby, M. H.

M. H. El Naby, Z. Physik 174, 269 (1963);H. Mayer and M. H. El Naby, Z. Physik 174, 280 (1963);H. Mayer and M. H. El Naby, Z. Physik 174, 289 (1963).

M. H. El Naby, thesis, Bergakademie Clausthal, Germany (1962).

Esposito, R. J.

R. J. Esposito, L. Muldawer, and P. E. Bloomfield, Phys. Rev. 168, 744 (1968).

Hamm, R. N.

J. C. Sutherland, E. T. Arakawa, and R. N. Hamm, J. Opt. Soc. Am. 57, 645 (1967).

J. C. Sutherland, R. N. Hamm, J. R. Stevenson, and E. T. Arakawa, Oak Ridge National Laboratory Report ORNL-TM-1776 (1967).

Hietel, B.

H. Mayer and B. Hietel, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North–Holland Publ. Co., Amsterdam, 1966).

B. Hietel, thesis, Bergakademie Clausthal, Germany (1965).

Hunter, W. R.

W. R. Hunter, J. Phys. Radium 25, 154 (1964).

Ives, H. E.

Johnston, W. G.

J. S. Nadeau and W. G. Johnston, J. Appl. Phys. 32, 2563 (1961).

Mayer, H.

H. Mayer and B. Hietel, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North–Holland Publ. Co., Amsterdam, 1966).

Muldawer, L.

R. J. Esposito, L. Muldawer, and P. E. Bloomfield, Phys. Rev. 168, 744 (1968).

Nadeau, J. S.

J. S. Nadeau and W. G. Johnston, J. Appl. Phys. 32, 2563 (1961).

Smith, N. V.

N. V. Smith, Phys. Rev. 21, 96 (1968).

Stevenson, J. R.

J. C. Sutherland, R. N. Hamm, J. R. Stevenson, and E. T. Arakawa, Oak Ridge National Laboratory Report ORNL-TM-1776 (1967).

Sutherland, J. C.

R. C. Vehse, J. C. Sutherland, and E. T. Arakawa, Rev. Sci. Instr. 39, 268 (1968).

J. C. Sutherland and E. T. Arakawa, J. Opt. Soc. Am. 58, 1080 (1968).

J. C. Sutherland, E. T. Arakawa, and R. N. Hamm, J. Opt. Soc. Am. 57, 645 (1967).

J. C. Sutherland, R. N. Hamm, J. R. Stevenson, and E. T. Arakawa, Oak Ridge National Laboratory Report ORNL-TM-1776 (1967).

Vehse, R. C.

R. C. Vehse, J. C. Sutherland, and E. T. Arakawa, Rev. Sci. Instr. 39, 268 (1968).

J. Appl. Phys. (1)

J. S. Nadeau and W. G. Johnston, J. Appl. Phys. 32, 2563 (1961).

J. Opt. Soc. Am. (4)

J. Phys. Radium (1)

W. R. Hunter, J. Phys. Radium 25, 154 (1964).

Phys. Rev. (2)

R. J. Esposito, L. Muldawer, and P. E. Bloomfield, Phys. Rev. 168, 744 (1968).

N. V. Smith, Phys. Rev. 21, 96 (1968).

Rev. Sci. Instr. (1)

R. C. Vehse, J. C. Sutherland, and E. T. Arakawa, Rev. Sci. Instr. 39, 268 (1968).

Z. Physik (1)

M. H. El Naby, Z. Physik 174, 269 (1963);H. Mayer and M. H. El Naby, Z. Physik 174, 280 (1963);H. Mayer and M. H. El Naby, Z. Physik 174, 289 (1963).

Other (5)

H. Mayer and B. Hietel, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North–Holland Publ. Co., Amsterdam, 1966).

M. H. El Naby, thesis, Bergakademie Clausthal, Germany (1962).

B. Hietel, thesis, Bergakademie Clausthal, Germany (1965).

For example, see Ref. 2.

J. C. Sutherland, R. N. Hamm, J. R. Stevenson, and E. T. Arakawa, Oak Ridge National Laboratory Report ORNL-TM-1776 (1967).

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Figures (3)

F. 1
F. 1

Transmittance of 128-nm radiation by a Na film as a function of the age of the film.

F. 2
F. 2

2 for Na vs photon energy. Present work, ●; Sutherland et al.,12 ○; Ives and Briggs,7 ■; Hietel4 (20°C), ▲; Smith,5 ◊. An arrow marks the plasma resonance energy.

F. 3
F. 3

2 for K vs photon energy. Present work, ⊙; Ives and Briggs,6 ■; EINaby,3 ▲; Smith,5 ◊. An arrow marks the plasma energy. The transmission data are from measurements made on a K film deposited on a quartz substrate.

Equations (4)

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

I = I 0 [ T ( υ , m ) exp ( 4 π k d / λ ) T ( m , s ) T ( s ) T ( s , υ ) ] ,
k = ( λ / 4 π d ) ( ln { ( I 0 / I ) [ T ( υ , m ) T ( m , s ) T ( s ) T ( s , υ ] } ) .
T ( i , j ) = ( n i n j ) 2 / ( n i + n j ) 2 ,
sin 2 θ = n 2 ( λ / 2 d ) 2 ( N P ) 2 ,