How can I convert lux into PPF (μmol m-2 s-1) for Red and Blue LEDs light?
(1) The conversion of photo-metric units (lux) into radiometric units and after into quantum units is possible in the case that you know detail spectral characteristic of the light source, or in the case of the of monochromatic light.
In the case of LEDs you can use approximation that LED light is pseudo monochromatic source having wavelength same as dominant wavelength for selected LED and related spectral half width, so you can to simplify integral defining photo-metric quantity.
(2) For related theory of unit conversion you can use Handbook of Optics Chapter "Radiometry and Photometry" or some textbook dealing with Photometry.
It is a late reply but may be useful. The conversion of photo-metric units (lux) into radiometric units and after into quantum units depends on the light source and there is no general equation. However, you can use the factors shown in the attached picture. Source is the following link;
https://www.apogeeinstruments.com/conversion-ppfd-to-lux/
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