A "mole" is Avogadro's Number of something - 6.023x1023. A µmol is 1/1,000,000 of that.
An excerpt from my October newsletter:
If you look at published culture sheets for orchids, you will see light recommendations along the lines of "1000–1500 foot-candles". The first thing we need to understand is that those numbers and units are a recommendation for the maximum amount of sunlight to which the plant should be exposed, and that if we are utilizing artificial lighting for the same dawn–to–dusk time period, the intensity should be approximately half that. To see the explanation of that, READ THIS, but the basic concept is that we are trying to match the total quantity (intensity X time) of light received at a constant intensity, rather than starting at zero at dawn, reaching a peak at noon and returning to zero at dusk.
Among horticultural professionals, that "total quantity" is known as the DLI, or "daily light integral". It is the sum of the photons hitting the plant over a complete day, and is expressed as the quantity of photons (moles) per area (square meters) per time unit (day). The rate at which light hits the plants is known as the PPFD, or photosynthetic photon flux density,and that is expressed as micromoles per square meter per second (µmol/m2/sec).
Don't be freaked out by these terms, the conversion from foot-candles to PPFD is simple: full sun has an intensity of approximately 10,020 foot-candles at noon on a clear day, which is equivalent to 2000 µmol/m2/sec, making the conversion factor 0.2, so our "1000–1500 foot-candles" maximum becomes 200 to 300 µmol/m2/sec, suggesting that artificial lighting of about 100–150 µmol/m2/sec, when used for 12-14 hours would be plenty. In other words, if translating from a "maximum sunlight" recommendation in foot-candles to PPFD of artificial lighting, just divide by 10!