The Functional Form of the Emulsion Calibration Curve

Abstract

The Federal Bureau of Mines has derived a mathematical expression for the emulsion calibration curve used in optical emission spectroscopy. Employing a two-step preliminary curve method, an approximation of the first derivative of the calibration curve is formed and integrated. The final equation is

$I = {(1 + β S)}^{- α}$

where I is the line intensity, S is the transform that linearizes the preliminary curve, and α and β are constants.

Keywords

Arc dc Computer applications Emission spectroscopy

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References

Ahrens

L. H.

Taylor

S. R.

, Spectrochemical Analysis (Addison-Wesley, Reading, MA, 1961), p. 148.

Blevins

D. R.

O'Neill

W. R.

, Appl. Spectrosc, 30, 190 (1976), and included references.

Methods for Emission Spectrochemical Analysis (American Society for Testing and Materials, March 1971), p. 74.

Strauss

B. H.

, Talanta 24, 524 (1977), and included references.

We use a Jarrell-Ash 3.4 m Wadsworth Mount spectrograph, 3 step sector, step ratio 2, and a Jarrell-Ash microdensitometer; emulsion: Kodak SA-1, developer D 19.

Reference to specific brands is made for identification only and does not imply endorsement by the Bureau of Mines.