Optical Brightening

Fluorescent Brightener Whiteness Index Saturation Limit

Past the optimum, more brightener makes fabric less white and greener. The complaint "we doubled it and it looks worse" is this curve.

Brightener Response Fitted curve
W
W
% owf

Dose reaching 63% of the available gain.

W per (% owf)²
Application Batch
% owf
kg

CIE Whiteness Index

— W

Whiteness achieved at the dose applied

Dosing Optimum

Whiteness-Maximising Dose
— % owf
Peak Whiteness Available
— W
Whiteness Given Away
— W
Dose Above Optimum
— % owf
Reagent Wasted per Batch
— kg

Both the saturation constant and the greening penalty are fitted to a specific brightener on a specific substrate and must be recovered by running a dose ladder and measuring CIE whiteness and tint on your own goods — they are not transferable between brightener classes or between cotton and polyester. The single whiteness number also hides the tint deviation, which is what an observer actually objects to; a fabric can hold its whiteness index and still look visibly green, so judge a ladder on tint as well. Whiteness measurement is itself illuminant-dependent, since the fluorescence needs UV in the source, and a result read under one instrument condition will not reproduce under another.

Fluorescent Brightener Whiteness Index Saturation Limit — free, with the formula and a worked example, at Textile School.