Abstract

The relationship between the ratio K/S and reflectance as derived by Kubelka and Munk has frequently been used for analytical work, but little attempt has been made to evaluate the accuracy of its application in calorimetric terms. This evaluation has now been made for dyeings by comparing the predicted color with that actually obtained in textile dyeings, and the difference has been expressed in terms of Munsell notation. In this manner the accuracy of the method has been examined for acid, chromed, and metalized dyestuffs on wool, for “acetate” dyes, and for direct and vat dyes on cotton. We find the accuracy of color prediction for acid dyestuffs on wool to average ±0.5 hue step ±0.1 value step, and ±0.4 chroma step. Predictions for the other applications are nearly as accurate except in those cases where interaction of dyestuff molecules occurs.

© 1952 Optical Society of America

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References

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  1. Kubelka and Munk, Z. tech. Physik 12, 593 (1931).
  2. E. I. Stearns, Am. Dyestuff Reporter 33, 1 (1944).
  3. For a detailed consideration of these effects see T. Vicherstaff, The Physical Chemistry of Dyeing (Interscience Publishers, Inc., New York, 1950), Chapter VII.

1944 (1)

E. I. Stearns, Am. Dyestuff Reporter 33, 1 (1944).

1931 (1)

Kubelka and Munk, Z. tech. Physik 12, 593 (1931).

Kubelka,

Kubelka and Munk, Z. tech. Physik 12, 593 (1931).

Munk,

Kubelka and Munk, Z. tech. Physik 12, 593 (1931).

Stearns, E. I.

E. I. Stearns, Am. Dyestuff Reporter 33, 1 (1944).

Vicherstaff, T.

For a detailed consideration of these effects see T. Vicherstaff, The Physical Chemistry of Dyeing (Interscience Publishers, Inc., New York, 1950), Chapter VII.

Am. Dyestuff Reporter (1)

E. I. Stearns, Am. Dyestuff Reporter 33, 1 (1944).

Z. tech. Physik (1)

Kubelka and Munk, Z. tech. Physik 12, 593 (1931).

Other (1)

For a detailed consideration of these effects see T. Vicherstaff, The Physical Chemistry of Dyeing (Interscience Publishers, Inc., New York, 1950), Chapter VII.

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Figures (2)

Fig. 1
Fig. 1

K/S values on dyed cotton at 620 mμ vs concentration of Fastusol Blue GA Extra used in the dye bath.

Fig. 2
Fig. 2

Spectrophotometric curves of a yellow, a blue, and a yellow plus blue dyeing showing effects of dyestuff interaction.

Tables (1)

Tables Icon

Table I Average errors in Munsell hue, value, and chroma, for colorimetric calculations on various dyestuffs and substrates.

Equations (2)

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( K / S M - K / S 0 ) = a A ( K / S A - K / S 0 ) + b B ( K / S B - K / S 0 ) + ,
K / S = ( 1 - R ) 2 / 2 R .