Abstract

The following paper gives a discussion of the methods involved in evaluating the oscillator strengths from both the dispersion and absorption equations for liquids. The resulting equations are then applied to a set of infra-red bands on which the absorption and dispersion were measured.

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  1. J. C. Slater and N. H. Frank, Introduction to Theoretical Physics (McGrav-Hill, New York, 1933), p. 276, 279.
  2. Acttally the system must be looked upon as consisting of a number of coupled oscillators representable by a coupled system of linear equations. Such a set can be transformed however to the above form employing normal coordinates.
  3. Handbuch der Physik (1928), Vol. XX, p. 496.
  4. M. Born, Optik (Julius Springer, Berlin, 1933), p. 478 without assumptions for simplicity.
  5. Handbuch der Physik, Vol. XX, p. 514; Cl. Schaeffer and F. Matossi, Das Ultra Rote Spektrum (Julius Springer, Berlin, 1930), p. 242; J. R. Collins, Phys. Rev. 55, 470 (1939); J. J. Fox and A. E. Martin, Proc. Roy. Soc. 167A, 257 (1938).
  6. The total refractive index must be used in all these calculations for it is this which determines the velocity of propagation of the wave in the frequency range of the absorption and not that in which the effect of more distant bands has been removed by extrapolation.
  7. K.F. Herzfeld, J. Opt. Soc. Am. 29, 355 (1939).
  8. A. Einstein, Physik. Zeits. 18, 121 (1917).
  9. Theoretically, the better way to proceed is to work with areas as in the absorption case for then a given experimental curve might conceivably be built up by a series of curves of the above form. Such an integration of Eq. (9) involves the evaluation of [Equation] (ν1 and ν2 being outside the region of absorption). The upper two integrals can be evaluated graphically, but the lower, although integrable, is somewhat tedious to handle.
  10. Handbuch der Physik, Vol. XX (1928); T. Wetterblad, Dissertation, Upsala (1924); H. H. Marvin, Phys. Rev. [1] 34, 161 (1912); A. H. Pfund, J. Opt. Soc. Am. 25, 351, (1935); M. A. Pittman, J. Opt. Soc. Am. 29, 358 (1939); Landolt-Bornstein, Physical Chemistry Tables, Vol. 2 p. 912.
  11. Handbuch der Physik, Vol. XX, p. 499.
  12. F. L. O. Wadsworth, Phil. Mag. p. 348 (1894).
  13. A. H. Pfund, Rev. Sci. Inst. 8, 417 (1937).
  14. R. B. Barnes and F. Matossi, Zeits. f. Physik 76, 24 (1932).
  15. A. H. Pfund, not in print.
  16. G. B. B. M. Sutherland, Proc. Roy. Soc. 165, 43 (1938).
  17. J. Lecomte and J. W. Ellis, Traite de Chimie Organique, Grignard II, pp. 196, 197 (1936).
  18. A. H. Pfund, J. Opt. Soc. Am. 14, 337–338 (1927).
  19. P. E. Shearin and E. K. Plyler, J. Opt. Soc. Am. 28, 61 (1938).
  20. K. W. F. Kohlrausch, Zeits. f. physik. Chemie B28, 340 (1935).
  21. Cl. Schaeffer and F. Matossi, reference 5, p. 266; Con. Corin and G. B. B. M. Sutherland, Proc. Roy. Soc. 165, 48 (1938); J. J. Fox and A. E. Martin, Proc. Roy. Soc. 167A, 257 (1938).
  22. J. Lecomte, Thesis, Paris, 1924; G. B. Bonino, Gazz. Chim. Ital. 53, 555 (1923); Con. Corin, Comptes rendus 202, 747–749 (1936); J. W. Ellis, Phys. Rev. 23, 48 (1924).

1939 (2)

Handbuch der Physik, Vol. XX, p. 514; Cl. Schaeffer and F. Matossi, Das Ultra Rote Spektrum (Julius Springer, Berlin, 1930), p. 242; J. R. Collins, Phys. Rev. 55, 470 (1939); J. J. Fox and A. E. Martin, Proc. Roy. Soc. 167A, 257 (1938).

K.F. Herzfeld, J. Opt. Soc. Am. 29, 355 (1939).

1938 (2)

G. B. B. M. Sutherland, Proc. Roy. Soc. 165, 43 (1938).

P. E. Shearin and E. K. Plyler, J. Opt. Soc. Am. 28, 61 (1938).

1937 (1)

A. H. Pfund, Rev. Sci. Inst. 8, 417 (1937).

1935 (1)

K. W. F. Kohlrausch, Zeits. f. physik. Chemie B28, 340 (1935).

1933 (1)

M. Born, Optik (Julius Springer, Berlin, 1933), p. 478 without assumptions for simplicity.

1932 (1)

R. B. Barnes and F. Matossi, Zeits. f. Physik 76, 24 (1932).

1928 (2)

Handbuch der Physik, Vol. XX (1928); T. Wetterblad, Dissertation, Upsala (1924); H. H. Marvin, Phys. Rev. [1] 34, 161 (1912); A. H. Pfund, J. Opt. Soc. Am. 25, 351, (1935); M. A. Pittman, J. Opt. Soc. Am. 29, 358 (1939); Landolt-Bornstein, Physical Chemistry Tables, Vol. 2 p. 912.

Handbuch der Physik (1928), Vol. XX, p. 496.

1927 (1)

A. H. Pfund, J. Opt. Soc. Am. 14, 337–338 (1927).

1924 (1)

J. Lecomte, Thesis, Paris, 1924; G. B. Bonino, Gazz. Chim. Ital. 53, 555 (1923); Con. Corin, Comptes rendus 202, 747–749 (1936); J. W. Ellis, Phys. Rev. 23, 48 (1924).

1917 (1)

A. Einstein, Physik. Zeits. 18, 121 (1917).

1894 (1)

F. L. O. Wadsworth, Phil. Mag. p. 348 (1894).

Barnes, R. B.

R. B. Barnes and F. Matossi, Zeits. f. Physik 76, 24 (1932).

Born, M.

M. Born, Optik (Julius Springer, Berlin, 1933), p. 478 without assumptions for simplicity.

Einstein, A.

A. Einstein, Physik. Zeits. 18, 121 (1917).

Ellis, J. W.

J. Lecomte and J. W. Ellis, Traite de Chimie Organique, Grignard II, pp. 196, 197 (1936).

Frank, N. H.

J. C. Slater and N. H. Frank, Introduction to Theoretical Physics (McGrav-Hill, New York, 1933), p. 276, 279.

Herzfeld, K.F.

K.F. Herzfeld, J. Opt. Soc. Am. 29, 355 (1939).

Kohlrausch, K. W. F.

K. W. F. Kohlrausch, Zeits. f. physik. Chemie B28, 340 (1935).

Lecomte, J.

J. Lecomte, Thesis, Paris, 1924; G. B. Bonino, Gazz. Chim. Ital. 53, 555 (1923); Con. Corin, Comptes rendus 202, 747–749 (1936); J. W. Ellis, Phys. Rev. 23, 48 (1924).

J. Lecomte and J. W. Ellis, Traite de Chimie Organique, Grignard II, pp. 196, 197 (1936).

Matossi, F.

Handbuch der Physik, Vol. XX, p. 514; Cl. Schaeffer and F. Matossi, Das Ultra Rote Spektrum (Julius Springer, Berlin, 1930), p. 242; J. R. Collins, Phys. Rev. 55, 470 (1939); J. J. Fox and A. E. Martin, Proc. Roy. Soc. 167A, 257 (1938).

R. B. Barnes and F. Matossi, Zeits. f. Physik 76, 24 (1932).

Cl. Schaeffer and F. Matossi, reference 5, p. 266; Con. Corin and G. B. B. M. Sutherland, Proc. Roy. Soc. 165, 48 (1938); J. J. Fox and A. E. Martin, Proc. Roy. Soc. 167A, 257 (1938).

Pfund, A. H.

A. H. Pfund, Rev. Sci. Inst. 8, 417 (1937).

A. H. Pfund, J. Opt. Soc. Am. 14, 337–338 (1927).

A. H. Pfund, not in print.

Physik, Handbuch der

Handbuch der Physik, Vol. XX (1928); T. Wetterblad, Dissertation, Upsala (1924); H. H. Marvin, Phys. Rev. [1] 34, 161 (1912); A. H. Pfund, J. Opt. Soc. Am. 25, 351, (1935); M. A. Pittman, J. Opt. Soc. Am. 29, 358 (1939); Landolt-Bornstein, Physical Chemistry Tables, Vol. 2 p. 912.

Handbuch der Physik, Vol. XX, p. 499.

Plyler, E. K.

P. E. Shearin and E. K. Plyler, J. Opt. Soc. Am. 28, 61 (1938).

Schaeffer, Cl.

Handbuch der Physik, Vol. XX, p. 514; Cl. Schaeffer and F. Matossi, Das Ultra Rote Spektrum (Julius Springer, Berlin, 1930), p. 242; J. R. Collins, Phys. Rev. 55, 470 (1939); J. J. Fox and A. E. Martin, Proc. Roy. Soc. 167A, 257 (1938).

Cl. Schaeffer and F. Matossi, reference 5, p. 266; Con. Corin and G. B. B. M. Sutherland, Proc. Roy. Soc. 165, 48 (1938); J. J. Fox and A. E. Martin, Proc. Roy. Soc. 167A, 257 (1938).

Shearin, P. E.

P. E. Shearin and E. K. Plyler, J. Opt. Soc. Am. 28, 61 (1938).

Slater, J. C.

J. C. Slater and N. H. Frank, Introduction to Theoretical Physics (McGrav-Hill, New York, 1933), p. 276, 279.

Sutherland, G. B. B. M.

G. B. B. M. Sutherland, Proc. Roy. Soc. 165, 43 (1938).

Wadsworth, F. L. O.

F. L. O. Wadsworth, Phil. Mag. p. 348 (1894).

Other (22)

J. C. Slater and N. H. Frank, Introduction to Theoretical Physics (McGrav-Hill, New York, 1933), p. 276, 279.

Acttally the system must be looked upon as consisting of a number of coupled oscillators representable by a coupled system of linear equations. Such a set can be transformed however to the above form employing normal coordinates.

Handbuch der Physik (1928), Vol. XX, p. 496.

M. Born, Optik (Julius Springer, Berlin, 1933), p. 478 without assumptions for simplicity.

Handbuch der Physik, Vol. XX, p. 514; Cl. Schaeffer and F. Matossi, Das Ultra Rote Spektrum (Julius Springer, Berlin, 1930), p. 242; J. R. Collins, Phys. Rev. 55, 470 (1939); J. J. Fox and A. E. Martin, Proc. Roy. Soc. 167A, 257 (1938).

The total refractive index must be used in all these calculations for it is this which determines the velocity of propagation of the wave in the frequency range of the absorption and not that in which the effect of more distant bands has been removed by extrapolation.

K.F. Herzfeld, J. Opt. Soc. Am. 29, 355 (1939).

A. Einstein, Physik. Zeits. 18, 121 (1917).

Theoretically, the better way to proceed is to work with areas as in the absorption case for then a given experimental curve might conceivably be built up by a series of curves of the above form. Such an integration of Eq. (9) involves the evaluation of [Equation] (ν1 and ν2 being outside the region of absorption). The upper two integrals can be evaluated graphically, but the lower, although integrable, is somewhat tedious to handle.

Handbuch der Physik, Vol. XX (1928); T. Wetterblad, Dissertation, Upsala (1924); H. H. Marvin, Phys. Rev. [1] 34, 161 (1912); A. H. Pfund, J. Opt. Soc. Am. 25, 351, (1935); M. A. Pittman, J. Opt. Soc. Am. 29, 358 (1939); Landolt-Bornstein, Physical Chemistry Tables, Vol. 2 p. 912.

Handbuch der Physik, Vol. XX, p. 499.

F. L. O. Wadsworth, Phil. Mag. p. 348 (1894).

A. H. Pfund, Rev. Sci. Inst. 8, 417 (1937).

R. B. Barnes and F. Matossi, Zeits. f. Physik 76, 24 (1932).

A. H. Pfund, not in print.

G. B. B. M. Sutherland, Proc. Roy. Soc. 165, 43 (1938).

J. Lecomte and J. W. Ellis, Traite de Chimie Organique, Grignard II, pp. 196, 197 (1936).

A. H. Pfund, J. Opt. Soc. Am. 14, 337–338 (1927).

P. E. Shearin and E. K. Plyler, J. Opt. Soc. Am. 28, 61 (1938).

K. W. F. Kohlrausch, Zeits. f. physik. Chemie B28, 340 (1935).

Cl. Schaeffer and F. Matossi, reference 5, p. 266; Con. Corin and G. B. B. M. Sutherland, Proc. Roy. Soc. 165, 48 (1938); J. J. Fox and A. E. Martin, Proc. Roy. Soc. 167A, 257 (1938).

J. Lecomte, Thesis, Paris, 1924; G. B. Bonino, Gazz. Chim. Ital. 53, 555 (1923); Con. Corin, Comptes rendus 202, 747–749 (1936); J. W. Ellis, Phys. Rev. 23, 48 (1924).

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