Structure in the X-Ray <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>K</mi></math></span> Absorption Edge of Metallic Potassium

Joseph B. Platt

doi:10.1103/PhysRev.69.337

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Structure in the X-Ray $K$ Absorption Edge of Metallic Potassium

Joseph B. Platt^*

Cornell University, Ithaca, New York

^*Now at the University of Rochester.

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Phys. Rev. 69, 337 – Published 1 April, 1946

DOI: https://doi.org/10.1103/PhysRev.69.337

Abstract

For the alkali metals sodium and potassium the free electron approximation should give the energy states in the conduction band closely. Calculations based on this approximation predict an arctangent shape for the potassium $K$ absorption edge. By use of a two-crystal vacuum x-ray spectrometer, the absorption edge of metallic potassium has been explored with high resolving power. Details of the experimental procedure are given. The shape of the absorption edge is in satisfactory agreement with the theoretical arctangent curve, and the width of the edge agrees with the predicted value. Some evidence is found of a secondary structure not given by the simple theory and the free electron approximation. The wave-length of the midpoint of the edge has been redetermined.

References (19)

H. Friedman and W. W. Beeman, Phys. Rev. 58, 400 (1940)
L. G. Parratt, Phys. Rev. 54, 99 (1938)
E. Wigner and F. Seitz, Phys. Rev. 43, 804 (1933) ibid.46, 509 (1934)
K. C. Rule, Phys. Rev. 66, 199 (1944)
F. Seitz, The Modern Theory of Solids (McGraw-Hill Book Company, Inc., New York, 1940), p. 219
H. A. Bethe, Handbuch der Physik (Verlagsbuchhandlung, Julius Springer, Berlin, 1933), Vol. 24/I, p. 285
W. Voss, Zeits. f. Physik 83, 581 (1933)
V. Weisskopf, Physik. Zeits. 34, 1 (1933)
[6], page 475
J. W. Trischka and L. G. Parratt, Rev. Sci. Inst. 13, 17 (1942)
L. G. Parratt, Phys. Rev. 54, 99 (1938)
J. B. Platt and D. H. Tomboulian, Rev. Sci. Inst. 12, 612 (1941)
L. G. Parratt, Phys. Rev. 54, 99 (1938)
D. B. Pennick, Rev. Sci. Inst. 6, 115 (1935)
A. H. Compton and S. K. Allison, X-Rays in Theory and Experiment (D. Van Nostrand Company, Inc., New York, 1936), p. 533
[15], page 528
A. E. Lindh, Handbuch der Experimentalphysik (Akademische Verlagsgesellschaft, M. B. H., Leipzig, 1930), Vol. 24/II, pp. 314-325
L. G. Parratt, Phys. Rev. 56, 295 (1939)
A. E. Lindh, Ark. Mat., Astr. o. Fys. 18, 14 (1924)

[c1] H. Friedman and W. W. Beeman, Phys. Rev. 58, 400 (1940)

[c2] L. G. Parratt, Phys. Rev. 54, 99 (1938)

[c3] E. Wigner and F. Seitz, Phys. Rev. 43, 804 (1933) ibid.46, 509 (1934)

[c4] K. C. Rule, Phys. Rev. 66, 199 (1944)

[c5] F. Seitz, The Modern Theory of Solids (McGraw-Hill Book Company, Inc., New York, 1940), p. 219

[c6] H. A. Bethe, Handbuch der Physik (Verlagsbuchhandlung, Julius Springer, Berlin, 1933), Vol. 24/I, p. 285

[c7] W. Voss, Zeits. f. Physik 83, 581 (1933)

[c8] V. Weisskopf, Physik. Zeits. 34, 1 (1933)

[c9] [6], page 475

[c10] J. W. Trischka and L. G. Parratt, Rev. Sci. Inst. 13, 17 (1942)

[c11] L. G. Parratt, Phys. Rev. 54, 99 (1938)

[c12] J. B. Platt and D. H. Tomboulian, Rev. Sci. Inst. 12, 612 (1941)

[c13] L. G. Parratt, Phys. Rev. 54, 99 (1938)

[c14] D. B. Pennick, Rev. Sci. Inst. 6, 115 (1935)

[c15] A. H. Compton and S. K. Allison, X-Rays in Theory and Experiment (D. Van Nostrand Company, Inc., New York, 1936), p. 533

[c16] [15], page 528

[c17] A. E. Lindh, Handbuch der Experimentalphysik (Akademische Verlagsgesellschaft, M. B. H., Leipzig, 1930), Vol. 24/II, pp. 314-325

[c18] L. G. Parratt, Phys. Rev. 56, 295 (1939)

[c19] A. E. Lindh, Ark. Mat., Astr. o. Fys. 18, 14 (1924)

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Structure in the X-Ray $K$ Absorption Edge of Metallic Potassium

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Structure in the X-Ray K Absorption Edge of Metallic Potassium

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References (19)

Structure in the X-Ray $K$ Absorption Edge of Metallic Potassium