Abstract
Because linear plots of photographic response data simplify quantitative analysis by mass or emission spectrography, new forms for treating photographic data have been studied. The probability deviate function, derived from the cumulative normal probability distribution of statistics, has theoretical merit for descriptions of photographic response and can be used as a reference for comparing other transformations, including the similarly shaped Baker—Sampson—Seidel delta function used in spectrochemical analysis. An extensive table of a modified deviate function has been computed for use in transforming transmittance data before plotting. Data transformation with the table and use of graph paper with logarithmic and probability scales are technically equivalent. The shorter direct-plotting method is satisfactory for representing in linear or nearly linear form the response of ion-sensitive plates to both ions and photons.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
W. de W. Abney, J. Camera Club 3: 93 (1889).
S. Levy, J. Opt. Soc. Am. 34: 447 (1944).
C. E.K. Mees, The Theory of the Photographic Process, The MacMillan Company, New York (1944), p. 201.
J.M. McCrea, submitted to Spectrochim. Acta.
F. Hurter and V.C. Driffield, J. Soc. Chem. Ind. 9: 455 (1890).
N.B. Hannay and A. J. Ahearn, Anal. Chem. 26: 1056 (1954).
R.D. Craig, G.A. Errock, and J.D. Waldron, in: J.D. Waldron, editor. Advances in Mass Spectrometry, Pergamon Press, New York (1959) p. 136.
R.A. Sampson, Monthly Notices, Roy.Astron.Soc. 83: 174 (1923)
R.A. Sampson, Monthly Notices, Roy.Astron.Soc. 85: 212 (1925).
E.A. Baker, Proc. Roy. Soc. Edin. 45: 161 (1925).
H. Kaiser, Spectrochim. Acta 2: 1 (1941).
H. Kienle, in: W. Wien and F. Harms, editors, Handbuch der Experimentalphysik (Astrophysik), Vol. 26, Akademische Verlagsgesellschaft, Leipzig (1937), p. 661.
E.A. Baker, J. Phot. Sci. 5: 94 (1957).
H. K. Hughes and R. W. Murphy, J. Opt. Soc. Am. 39: 501 (1949).
C.W. Hull, Mass Spectrometry Conference, ASTM Committee E-14, New Orleans (June 3–8, 1962), Paper No. 72.
F. Galton, Natural Inheritance, The MacMillan Company, London (1889), p. 202.
W. F. Sheppard, Biometrika 5: 404 (1905).
C.I. Bliss, Science 79: 409 (1934).
C.I. Bliss, Ann. Appl. Biol. 22: 134 (1935).
E.S. Pearson and H. O. Hartley, editors, Biometrika Tables for Statisticians, Cambridge University Press (1954), p. 112.
R. A. Fisher and F. Yates, Statistical Tables for Biological, Agricultural, and Medical Research, Hafner Publishing Company, New York (1953), p. 60.
D. C. Cordingley, L.J. Lacey, and P.J. Sandiford, Appl. Spectroscopy 8: 138 (1954).
J.D. Kerbyson, Spectrochim. Acta 19: 1335 (1963).
H.M. Crosswhite and G.H. Dieke, Bumblebee Series Report No. 202, The Johns Hopkins University, Baltimore (September, 1953).
A. Arrak, Appl. Spectroscopy 11: 38 (1957).
J.W. Anderson, Appl. Spectroscopy 10: 195 (1956).
A. Hazen, Tr. Am. Soc. Civ. Eng. 77: 1539 (1914).
G.C. Whipple, J. Frank. Inst. 182: 37. 205 (1916).
References in Appendix
L.J. Reed and J. Berkson, J. Phys. Chem. 33: 760 (1929).
United Nations-Secretariat, Dept. of Social Affairs, Population Div., Population Studies No. 17, The Determinants and Consequences of Population Trends (ST/SOA/Ser A/17, 1953). U. N. Publication Sales No. 1953 XIII 3, pp. 41–44 and 365.
F.E. Croxton and D.J. Cowden, Applied General Statistics, ed. 2, Prentice-Hall, Inc., Englewood Cliffs (1960), pp. 310–316
J. Berkson, J. Am. Stat. Assn. 39: 357 (1944).
Additional References
J.W. Anderson, Appl. Spectroscopy 7: 121 (1953).
A.Arrak, Appl. Spectroscopy 12: 171 (1958)
A.Arrak, Appl. Spectroscopy 13: 143 (1959).
E.A. Baker. Proc. Roy. Soc. Edin. 47: 34 (1927)
E.A. Baker. Proc. Roy. Soc. Edin. 48: 106 (1928).
E.A. Baker. Pubns. Roy. Obs. Edin. 1: 17 (1949).
C. Candler, Appl. Spectroscopy 13: 97. 159 (1959)
C. Candler, Spectrochim. Acta 8: 262 (1956).
M. Honerjaeger-Sohm and H. Kaiser, Spectrochim. Acta 2: 396 (1944).
H. Kaiser, Spectrochim. Acta 3: 159 (1948).
H. Kawano. Bull. Chem. Soc. Japan 37: 697 (1964).
S. Kinoshita, Proc. Roy. Soc. London A83: 432 (1910).
J. Noar, Photographic J. 91B: 64, 99 (1951).
R. Schmidt, Ree. Trav. Chim. 67: 737 (1948).
B.Verkerk, J. Opt. Soc. Am. 41: 1017 (1951).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1965 Chicago Section of the Society for Applied Spectroscopy
About this paper
Cite this paper
McCrea, J.M. (1965). Transformation Functions for Photographic Response in Spectrography. In: Davis, E.N. (eds) Developments in Applied Spectroscopy. Developments in Applied Spectroscopy, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8691-9_42
Download citation
DOI: https://doi.org/10.1007/978-1-4684-8691-9_42
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-8693-3
Online ISBN: 978-1-4684-8691-9
eBook Packages: Springer Book Archive