Abstract

A previously proposed refraction and dispersion equation, containing two empirical constants per component oxide, is improved by the addition, for each component, of a term containing a single new constant (the same for all components) and, for each of the components PbO, CaO, and BaO, of another term containing two additional constants characteristic of the component. Tests of the new equation with experimental data, both for simple (crystalline and vitreous) oxides and for 2-, 3-, and multicomponent glasses, show agreement, practically within the probable error of the experimental data, over the visible range of wave-lengths.

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  1. M. L. Huggins, J. Opt. Soc. Am. 30, 514 (1940). Certain errors in the figures of this paper may be noted here: Figures 1 and 2 should be interchanged. The decimal points in the numbers in the ordinate scales of these figures should all be moved one place to the left. (The actual agreement is 10 times as good as that indicated.) The ordinates of Figs. 1 and 2 should be labeled nλ(obs.)-nλ that of Fig. 3 should be labeled 10-10gPb.
  2. M. L. Huggins, Ind. Eng. Chem. 32, 1433 (1940).
  3. J. C. Young and A. N. Finn, J. Research Nat. Bur. Stand. 25, 759 (1940).
  4. M. Herzberger, J. Opt. Soc. Am. 32, 70 (1942).
  5. M. L. Huggins, J. Opt. Soc. Am. 30, 495 (1940).
  6. M. L. Huggins, J. Opt. Soc. Am. 30, 420 (1940).
  7. F. Matossi and H. Bluschke, Zeits. f. Physik 108, 295 (1938).
  8. R. B. Sosman, The Properties of Silica (Reinhold, New York, 1927).
  9. G. W. Morey and H. E. Merwin, J. Am. Chem. Soc. 58, 2248 (1936).
  10. J. Strong and R. T. Brice, J. Opt. Soc. Am. 25, 207 (1935).
  11. J. W. Gifford and W. A. Shenstone, Proc. Roy. Soc. London 73, 201 (1904).
  12. J. W. Gifford, Proc. Roy. Soc. London A84, 193 (1910.)
  13. H. Trommsdorff, Die Dispersion Jenaer Gläser im ultravioletten Strahlengebiet, Inaug.-Diss. Jena (1901); see reference 8, pp. 595–6.
  14. J. Engl, Ann. d. Physik [5] 25, 600 (1936).
  15. S. B. Hendricks and W. E. Deming, Zeits. f Krist. A91, 290 (1935).
  16. The experimental data for these glasses, as well as most of the otherdata we have used, are collected in G. W. Morey, The Properties of Glass (Reinhold, New York, 1938). This book has been invaluable to us in this work.
  17. H. W. Safford, Univ. of Pittsburgh Bulletin, 38 (1942).
  18. Reference 16, p. 393, Table XVI. 14. According to a private communication from Dr. Morey, the headings of the last six columns of this table should be: c-b, d-c, e-d, F-e, g-F, h-g. The + signs indicate a 5 in the next decimal place.
  19. Wülfing, Tsclzermak's Allineralog. pelrog. Mill. 15, 29, 49 (1896); quoted in Int. Crit. Tables 7, 21.
  20. H. E. Merwin, Proc. A. S. T. M. 17(2), 497 (1917).
  21. J. C. Young and A. N. Finn, J. Opt. Soc. Am. 31, 383 (1941).
  22. E. Kordes, Zeits. f. physik. Chemie B43, 173 (1939).
  23. Reference 16, p. 389, Table XVI. 12. It may be noted that there are several minor discrepancies between the nD and nF-C values in this table and those in Table XVI. 11 for the same glasses.

Bluschke, H.

F. Matossi and H. Bluschke, Zeits. f. Physik 108, 295 (1938).

Brice, R. T.

J. Strong and R. T. Brice, J. Opt. Soc. Am. 25, 207 (1935).

Deming, W. E.

S. B. Hendricks and W. E. Deming, Zeits. f Krist. A91, 290 (1935).

Engl, J.

J. Engl, Ann. d. Physik [5] 25, 600 (1936).

Finn, A. N.

J. C. Young and A. N. Finn, J. Research Nat. Bur. Stand. 25, 759 (1940).

J. C. Young and A. N. Finn, J. Opt. Soc. Am. 31, 383 (1941).

Gifford, J. W.

J. W. Gifford, Proc. Roy. Soc. London A84, 193 (1910.)

J. W. Gifford and W. A. Shenstone, Proc. Roy. Soc. London 73, 201 (1904).

Hendricks, S. B.

S. B. Hendricks and W. E. Deming, Zeits. f Krist. A91, 290 (1935).

Herzberger, M.

M. Herzberger, J. Opt. Soc. Am. 32, 70 (1942).

Huggins, M. L.

M. L. Huggins, Ind. Eng. Chem. 32, 1433 (1940).

M. L. Huggins, J. Opt. Soc. Am. 30, 420 (1940).

M. L. Huggins, J. Opt. Soc. Am. 30, 514 (1940). Certain errors in the figures of this paper may be noted here: Figures 1 and 2 should be interchanged. The decimal points in the numbers in the ordinate scales of these figures should all be moved one place to the left. (The actual agreement is 10 times as good as that indicated.) The ordinates of Figs. 1 and 2 should be labeled nλ(obs.)-nλ that of Fig. 3 should be labeled 10-10gPb.

M. L. Huggins, J. Opt. Soc. Am. 30, 495 (1940).

Kordes, E.

E. Kordes, Zeits. f. physik. Chemie B43, 173 (1939).

Matossi, F.

F. Matossi and H. Bluschke, Zeits. f. Physik 108, 295 (1938).

Merwin, H. E.

G. W. Morey and H. E. Merwin, J. Am. Chem. Soc. 58, 2248 (1936).

H. E. Merwin, Proc. A. S. T. M. 17(2), 497 (1917).

Morey, G. W.

G. W. Morey and H. E. Merwin, J. Am. Chem. Soc. 58, 2248 (1936).

The experimental data for these glasses, as well as most of the otherdata we have used, are collected in G. W. Morey, The Properties of Glass (Reinhold, New York, 1938). This book has been invaluable to us in this work.

Safford, H. W.

H. W. Safford, Univ. of Pittsburgh Bulletin, 38 (1942).

Shenstone, W. A.

J. W. Gifford and W. A. Shenstone, Proc. Roy. Soc. London 73, 201 (1904).

Sosman, R. B.

R. B. Sosman, The Properties of Silica (Reinhold, New York, 1927).

Strong, J.

J. Strong and R. T. Brice, J. Opt. Soc. Am. 25, 207 (1935).

Trommsdorff, H.

H. Trommsdorff, Die Dispersion Jenaer Gläser im ultravioletten Strahlengebiet, Inaug.-Diss. Jena (1901); see reference 8, pp. 595–6.

Wülfing,

Wülfing, Tsclzermak's Allineralog. pelrog. Mill. 15, 29, 49 (1896); quoted in Int. Crit. Tables 7, 21.

Young, J. C.

J. C. Young and A. N. Finn, J. Opt. Soc. Am. 31, 383 (1941).

J. C. Young and A. N. Finn, J. Research Nat. Bur. Stand. 25, 759 (1940).

Other (23)

M. L. Huggins, J. Opt. Soc. Am. 30, 514 (1940). Certain errors in the figures of this paper may be noted here: Figures 1 and 2 should be interchanged. The decimal points in the numbers in the ordinate scales of these figures should all be moved one place to the left. (The actual agreement is 10 times as good as that indicated.) The ordinates of Figs. 1 and 2 should be labeled nλ(obs.)-nλ that of Fig. 3 should be labeled 10-10gPb.

M. L. Huggins, Ind. Eng. Chem. 32, 1433 (1940).

J. C. Young and A. N. Finn, J. Research Nat. Bur. Stand. 25, 759 (1940).

M. Herzberger, J. Opt. Soc. Am. 32, 70 (1942).

M. L. Huggins, J. Opt. Soc. Am. 30, 495 (1940).

M. L. Huggins, J. Opt. Soc. Am. 30, 420 (1940).

F. Matossi and H. Bluschke, Zeits. f. Physik 108, 295 (1938).

R. B. Sosman, The Properties of Silica (Reinhold, New York, 1927).

G. W. Morey and H. E. Merwin, J. Am. Chem. Soc. 58, 2248 (1936).

J. Strong and R. T. Brice, J. Opt. Soc. Am. 25, 207 (1935).

J. W. Gifford and W. A. Shenstone, Proc. Roy. Soc. London 73, 201 (1904).

J. W. Gifford, Proc. Roy. Soc. London A84, 193 (1910.)

H. Trommsdorff, Die Dispersion Jenaer Gläser im ultravioletten Strahlengebiet, Inaug.-Diss. Jena (1901); see reference 8, pp. 595–6.

J. Engl, Ann. d. Physik [5] 25, 600 (1936).

S. B. Hendricks and W. E. Deming, Zeits. f Krist. A91, 290 (1935).

The experimental data for these glasses, as well as most of the otherdata we have used, are collected in G. W. Morey, The Properties of Glass (Reinhold, New York, 1938). This book has been invaluable to us in this work.

H. W. Safford, Univ. of Pittsburgh Bulletin, 38 (1942).

Reference 16, p. 393, Table XVI. 14. According to a private communication from Dr. Morey, the headings of the last six columns of this table should be: c-b, d-c, e-d, F-e, g-F, h-g. The + signs indicate a 5 in the next decimal place.

Wülfing, Tsclzermak's Allineralog. pelrog. Mill. 15, 29, 49 (1896); quoted in Int. Crit. Tables 7, 21.

H. E. Merwin, Proc. A. S. T. M. 17(2), 497 (1917).

J. C. Young and A. N. Finn, J. Opt. Soc. Am. 31, 383 (1941).

E. Kordes, Zeits. f. physik. Chemie B43, 173 (1939).

Reference 16, p. 389, Table XVI. 12. It may be noted that there are several minor discrepancies between the nD and nF-C values in this table and those in Table XVI. 11 for the same glasses.

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