Abstract

Absorption measurements on copper, silver, tin, gold, and bismuth in the spectral range 50–340 Å were performed using the synchrotron radiation of the 6-GeV electron synchrotron DESY. The results are compared with previous measurements and theoretical predictions. A calculation of the partial oscillator sums from the available data gives rough agreement with the theoretically expected values.

© 1968 Optical Society of America

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  1. R. P. Madden, D. L. Ederer, K. Codling, Appl. Opt. 6, 31 (1967).
    [CrossRef] [PubMed]
  2. R. Haensel, C. Kunz, Z. Angew. Phys. 23, 276 (1967).
  3. G. Bathow, E. Freytag, R. Haensel, J. Appl. Phys. 37, 3449 (1966).
    [CrossRef]
  4. W. Steinmann, M. Skibowski, Phys. Rev. Letters 16, 989 (1966).
    [CrossRef]
  5. B. Feuerbacher, M. Skibowski, W. Steinmann, R. P. Godwin, J. Opt. Soc. Am. 58, 137 (1968).
    [CrossRef]
  6. D. Lemke, D. Labs, Appl. Opt. 6, 1043 (1967).
    [CrossRef] [PubMed]
  7. R. Haensel, C. Kunz, B. Sonntag, Phys. Letters 25A, 205 (1967).
  8. K. Codling, R. P. Madden, W. R. Hunter, D. W. Angel, J. Opt. Soc. Am. 56, 189 (1966).
    [CrossRef]
  9. T. Sagawa et al., J. Phys. Soc. Japan 21, 2602 (1966).
    [CrossRef]
  10. D. L. Ederer, Phys. Rev. Letters 13, 760 (1964).
    [CrossRef]
  11. J. W. Cooper, Phys. Rev. 128, 681 (1962).
    [CrossRef]
  12. F. Combet Farnoux, Y. Héno, Compt. Rend. 264B, 138 (1967).
  13. S. T. Manson, F. W. Cooper, Phys. Rev. 165, 126 (1968); we wish to thank the authors for bringing to our attention their paper before publication.
    [CrossRef]
  14. R. Haensel, B. Sonntag, J. Appl. Phys. 38, 3031 (1967).
    [CrossRef]
  15. W. M. Neupert, Ph.D. thesis, Cornell University, 1960.
  16. D. H. Tomboulian, D. E. Bedo, W. M. Neupert, J. Phys. Chem. Solids 3, 282 (1957).
    [CrossRef]
  17. A. P. Lukirskii, E. P. Savinov, O. A. Ershov, Yu. F. Shepelev, Opt. Spectry. 16, 168 (1964).
  18. S. Robin, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North-Holland Publishing Co., Amsterdam, 1966), p. 202.
  19. P. Jaeglé, G. Missoni, Compt. Rend. 262, 71 (1966).
  20. L. R. Canfield, G. Hass, W. R. Hunter, J. Physique 25, 124 (1964).
    [CrossRef]
  21. P. Jaeglé, G. Missoni, P. Dhez, Phys. Rev. Letters 18, 887 (1967).
    [CrossRef]
  22. W. R. Hunter, D. W. Angel, R. Tousey, Appl. Opt. 4, 891 (1965).
    [CrossRef]
  23. T. Sasaki, A. Ejiri, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North-Holland Publishing Co., Amsterdam, 1966), p. 417.
  24. Y. Cauchois, J. Phys. Radium 13, 111 (1952); J. Phys. Radium 16, 253 (1955).
    [CrossRef]
  25. C. Curry, D. J. McNeill, Proc. Phys. Soc. London 76, 791 (1960).
    [CrossRef]
  26. J. W. Cooper, Phys. Rev. Letters 13, 762 (1964).
    [CrossRef]
  27. D. Beaglehole, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North-Holland Publishing Co., Amsterdam, 1966), p. 154.
  28. H. Ehrenreich, H. R. Philipp, Phys. Rev. 128, 1622 (1962).
    [CrossRef]
  29. B. R. Cooper, H. Ehrenreich, H. R. Philipp, Phys. Rev. 138, A494 (1965).
    [CrossRef]

1968 (2)

B. Feuerbacher, M. Skibowski, W. Steinmann, R. P. Godwin, J. Opt. Soc. Am. 58, 137 (1968).
[CrossRef]

S. T. Manson, F. W. Cooper, Phys. Rev. 165, 126 (1968); we wish to thank the authors for bringing to our attention their paper before publication.
[CrossRef]

1967 (7)

R. Haensel, B. Sonntag, J. Appl. Phys. 38, 3031 (1967).
[CrossRef]

F. Combet Farnoux, Y. Héno, Compt. Rend. 264B, 138 (1967).

P. Jaeglé, G. Missoni, P. Dhez, Phys. Rev. Letters 18, 887 (1967).
[CrossRef]

D. Lemke, D. Labs, Appl. Opt. 6, 1043 (1967).
[CrossRef] [PubMed]

R. Haensel, C. Kunz, B. Sonntag, Phys. Letters 25A, 205 (1967).

R. P. Madden, D. L. Ederer, K. Codling, Appl. Opt. 6, 31 (1967).
[CrossRef] [PubMed]

R. Haensel, C. Kunz, Z. Angew. Phys. 23, 276 (1967).

1966 (5)

G. Bathow, E. Freytag, R. Haensel, J. Appl. Phys. 37, 3449 (1966).
[CrossRef]

W. Steinmann, M. Skibowski, Phys. Rev. Letters 16, 989 (1966).
[CrossRef]

K. Codling, R. P. Madden, W. R. Hunter, D. W. Angel, J. Opt. Soc. Am. 56, 189 (1966).
[CrossRef]

T. Sagawa et al., J. Phys. Soc. Japan 21, 2602 (1966).
[CrossRef]

P. Jaeglé, G. Missoni, Compt. Rend. 262, 71 (1966).

1965 (2)

W. R. Hunter, D. W. Angel, R. Tousey, Appl. Opt. 4, 891 (1965).
[CrossRef]

B. R. Cooper, H. Ehrenreich, H. R. Philipp, Phys. Rev. 138, A494 (1965).
[CrossRef]

1964 (4)

J. W. Cooper, Phys. Rev. Letters 13, 762 (1964).
[CrossRef]

L. R. Canfield, G. Hass, W. R. Hunter, J. Physique 25, 124 (1964).
[CrossRef]

A. P. Lukirskii, E. P. Savinov, O. A. Ershov, Yu. F. Shepelev, Opt. Spectry. 16, 168 (1964).

D. L. Ederer, Phys. Rev. Letters 13, 760 (1964).
[CrossRef]

1962 (2)

J. W. Cooper, Phys. Rev. 128, 681 (1962).
[CrossRef]

H. Ehrenreich, H. R. Philipp, Phys. Rev. 128, 1622 (1962).
[CrossRef]

1960 (1)

C. Curry, D. J. McNeill, Proc. Phys. Soc. London 76, 791 (1960).
[CrossRef]

1957 (1)

D. H. Tomboulian, D. E. Bedo, W. M. Neupert, J. Phys. Chem. Solids 3, 282 (1957).
[CrossRef]

1952 (1)

Y. Cauchois, J. Phys. Radium 13, 111 (1952); J. Phys. Radium 16, 253 (1955).
[CrossRef]

Angel, D. W.

Bathow, G.

G. Bathow, E. Freytag, R. Haensel, J. Appl. Phys. 37, 3449 (1966).
[CrossRef]

Beaglehole, D.

D. Beaglehole, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North-Holland Publishing Co., Amsterdam, 1966), p. 154.

Bedo, D. E.

D. H. Tomboulian, D. E. Bedo, W. M. Neupert, J. Phys. Chem. Solids 3, 282 (1957).
[CrossRef]

Canfield, L. R.

L. R. Canfield, G. Hass, W. R. Hunter, J. Physique 25, 124 (1964).
[CrossRef]

Cauchois, Y.

Y. Cauchois, J. Phys. Radium 13, 111 (1952); J. Phys. Radium 16, 253 (1955).
[CrossRef]

Codling, K.

Combet Farnoux, F.

F. Combet Farnoux, Y. Héno, Compt. Rend. 264B, 138 (1967).

Cooper, B. R.

B. R. Cooper, H. Ehrenreich, H. R. Philipp, Phys. Rev. 138, A494 (1965).
[CrossRef]

Cooper, F. W.

S. T. Manson, F. W. Cooper, Phys. Rev. 165, 126 (1968); we wish to thank the authors for bringing to our attention their paper before publication.
[CrossRef]

Cooper, J. W.

J. W. Cooper, Phys. Rev. Letters 13, 762 (1964).
[CrossRef]

J. W. Cooper, Phys. Rev. 128, 681 (1962).
[CrossRef]

Curry, C.

C. Curry, D. J. McNeill, Proc. Phys. Soc. London 76, 791 (1960).
[CrossRef]

Dhez, P.

P. Jaeglé, G. Missoni, P. Dhez, Phys. Rev. Letters 18, 887 (1967).
[CrossRef]

Ederer, D. L.

Ehrenreich, H.

B. R. Cooper, H. Ehrenreich, H. R. Philipp, Phys. Rev. 138, A494 (1965).
[CrossRef]

H. Ehrenreich, H. R. Philipp, Phys. Rev. 128, 1622 (1962).
[CrossRef]

Ejiri, A.

T. Sasaki, A. Ejiri, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North-Holland Publishing Co., Amsterdam, 1966), p. 417.

Ershov, O. A.

A. P. Lukirskii, E. P. Savinov, O. A. Ershov, Yu. F. Shepelev, Opt. Spectry. 16, 168 (1964).

Feuerbacher, B.

Freytag, E.

G. Bathow, E. Freytag, R. Haensel, J. Appl. Phys. 37, 3449 (1966).
[CrossRef]

Godwin, R. P.

Haensel, R.

R. Haensel, C. Kunz, Z. Angew. Phys. 23, 276 (1967).

R. Haensel, C. Kunz, B. Sonntag, Phys. Letters 25A, 205 (1967).

R. Haensel, B. Sonntag, J. Appl. Phys. 38, 3031 (1967).
[CrossRef]

G. Bathow, E. Freytag, R. Haensel, J. Appl. Phys. 37, 3449 (1966).
[CrossRef]

Hass, G.

L. R. Canfield, G. Hass, W. R. Hunter, J. Physique 25, 124 (1964).
[CrossRef]

Héno, Y.

F. Combet Farnoux, Y. Héno, Compt. Rend. 264B, 138 (1967).

Hunter, W. R.

Jaeglé, P.

P. Jaeglé, G. Missoni, P. Dhez, Phys. Rev. Letters 18, 887 (1967).
[CrossRef]

P. Jaeglé, G. Missoni, Compt. Rend. 262, 71 (1966).

Kunz, C.

R. Haensel, C. Kunz, B. Sonntag, Phys. Letters 25A, 205 (1967).

R. Haensel, C. Kunz, Z. Angew. Phys. 23, 276 (1967).

Labs, D.

Lemke, D.

Lukirskii, A. P.

A. P. Lukirskii, E. P. Savinov, O. A. Ershov, Yu. F. Shepelev, Opt. Spectry. 16, 168 (1964).

Madden, R. P.

Manson, S. T.

S. T. Manson, F. W. Cooper, Phys. Rev. 165, 126 (1968); we wish to thank the authors for bringing to our attention their paper before publication.
[CrossRef]

McNeill, D. J.

C. Curry, D. J. McNeill, Proc. Phys. Soc. London 76, 791 (1960).
[CrossRef]

Missoni, G.

P. Jaeglé, G. Missoni, P. Dhez, Phys. Rev. Letters 18, 887 (1967).
[CrossRef]

P. Jaeglé, G. Missoni, Compt. Rend. 262, 71 (1966).

Neupert, W. M.

D. H. Tomboulian, D. E. Bedo, W. M. Neupert, J. Phys. Chem. Solids 3, 282 (1957).
[CrossRef]

W. M. Neupert, Ph.D. thesis, Cornell University, 1960.

Philipp, H. R.

B. R. Cooper, H. Ehrenreich, H. R. Philipp, Phys. Rev. 138, A494 (1965).
[CrossRef]

H. Ehrenreich, H. R. Philipp, Phys. Rev. 128, 1622 (1962).
[CrossRef]

Robin, S.

S. Robin, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North-Holland Publishing Co., Amsterdam, 1966), p. 202.

Sagawa, T.

T. Sagawa et al., J. Phys. Soc. Japan 21, 2602 (1966).
[CrossRef]

Sasaki, T.

T. Sasaki, A. Ejiri, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North-Holland Publishing Co., Amsterdam, 1966), p. 417.

Savinov, E. P.

A. P. Lukirskii, E. P. Savinov, O. A. Ershov, Yu. F. Shepelev, Opt. Spectry. 16, 168 (1964).

Shepelev, Yu. F.

A. P. Lukirskii, E. P. Savinov, O. A. Ershov, Yu. F. Shepelev, Opt. Spectry. 16, 168 (1964).

Skibowski, M.

Sonntag, B.

R. Haensel, B. Sonntag, J. Appl. Phys. 38, 3031 (1967).
[CrossRef]

R. Haensel, C. Kunz, B. Sonntag, Phys. Letters 25A, 205 (1967).

Steinmann, W.

Tomboulian, D. H.

D. H. Tomboulian, D. E. Bedo, W. M. Neupert, J. Phys. Chem. Solids 3, 282 (1957).
[CrossRef]

Tousey, R.

Appl. Opt. (3)

Compt. Rend. (2)

P. Jaeglé, G. Missoni, Compt. Rend. 262, 71 (1966).

F. Combet Farnoux, Y. Héno, Compt. Rend. 264B, 138 (1967).

J. Appl. Phys. (2)

R. Haensel, B. Sonntag, J. Appl. Phys. 38, 3031 (1967).
[CrossRef]

G. Bathow, E. Freytag, R. Haensel, J. Appl. Phys. 37, 3449 (1966).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Phys. Chem. Solids (1)

D. H. Tomboulian, D. E. Bedo, W. M. Neupert, J. Phys. Chem. Solids 3, 282 (1957).
[CrossRef]

J. Phys. Radium (1)

Y. Cauchois, J. Phys. Radium 13, 111 (1952); J. Phys. Radium 16, 253 (1955).
[CrossRef]

J. Phys. Soc. Japan (1)

T. Sagawa et al., J. Phys. Soc. Japan 21, 2602 (1966).
[CrossRef]

J. Physique (1)

L. R. Canfield, G. Hass, W. R. Hunter, J. Physique 25, 124 (1964).
[CrossRef]

Opt. Spectry. (1)

A. P. Lukirskii, E. P. Savinov, O. A. Ershov, Yu. F. Shepelev, Opt. Spectry. 16, 168 (1964).

Phys. Letters (1)

R. Haensel, C. Kunz, B. Sonntag, Phys. Letters 25A, 205 (1967).

Phys. Rev. (4)

J. W. Cooper, Phys. Rev. 128, 681 (1962).
[CrossRef]

S. T. Manson, F. W. Cooper, Phys. Rev. 165, 126 (1968); we wish to thank the authors for bringing to our attention their paper before publication.
[CrossRef]

H. Ehrenreich, H. R. Philipp, Phys. Rev. 128, 1622 (1962).
[CrossRef]

B. R. Cooper, H. Ehrenreich, H. R. Philipp, Phys. Rev. 138, A494 (1965).
[CrossRef]

Phys. Rev. Letters (4)

P. Jaeglé, G. Missoni, P. Dhez, Phys. Rev. Letters 18, 887 (1967).
[CrossRef]

J. W. Cooper, Phys. Rev. Letters 13, 762 (1964).
[CrossRef]

D. L. Ederer, Phys. Rev. Letters 13, 760 (1964).
[CrossRef]

W. Steinmann, M. Skibowski, Phys. Rev. Letters 16, 989 (1966).
[CrossRef]

Proc. Phys. Soc. London (1)

C. Curry, D. J. McNeill, Proc. Phys. Soc. London 76, 791 (1960).
[CrossRef]

Z. Angew. Phys. (1)

R. Haensel, C. Kunz, Z. Angew. Phys. 23, 276 (1967).

Other (4)

S. Robin, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North-Holland Publishing Co., Amsterdam, 1966), p. 202.

W. M. Neupert, Ph.D. thesis, Cornell University, 1960.

D. Beaglehole, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North-Holland Publishing Co., Amsterdam, 1966), p. 154.

T. Sasaki, A. Ejiri, in Optical Properties and Electronic Structure of Metals and Alloys, F. Abelès, Ed. (North-Holland Publishing Co., Amsterdam, 1966), p. 417.

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Figures (7)

Fig. 1
Fig. 1

Experimental arrangement at the accelerator. EO = electron orbit, V = valve, BS = beam shutter, VT = vacuum tube connection between accelerator and experiment, SH = sample holder, M = mirror, ES = entrance slit, G = grating, RA = rotating arm, B = exit slit and open multiplier, Sh = shielding.

Fig. 2
Fig. 2

Transmission T of Ag as a function of film thickness d with and without a 2000 Å thick Al prefilter. Wavelength 177 Å. K2 gives the fraction of second order radiation.

Fig. 3
Fig. 3

Copper (a) absorption coefficient μ, (b) effective electron number Neff as a function of photon energy. The theoretical values by Beaglehole include only 3d electrons.

Fig. 4
Fig. 4

Silver (a) absorption coefficient μ, (b) effective electron number Neff as a function of photon energy.

Fig. 5
Fig. 5

Tin (a) absorption coefficient μ, (b) effective electron number Neff as a function of photon energy. The zero point of Neff is chosen arbitrarily.

Fig. 6
Fig. 6

Gold (a) absorption coefficient μ, (b) effective electron number Neff as a function of photon energy.

Fig. 7
Fig. 7

Bismuth (a) absorption coefficient μ, (b) effective electron number Neff as a function of photon energy. The zero point of Neff is chosen arbitrarily.

Equations (2)

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T = K 1 e - μ 1 d + K 2 e - μ 2 d .
N eff = m c π e 2 L h A ρ E 1 E 2 μ n d E ,

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