Grey Card - grey coloured card that uniformly reflects 18% of the light which falls upon it, used to calibrate exposure.
I can find no reference which verifies that a gray card reflects 18% of the light that falls upon it. If you can cite some source that gives a scientific justification for the use of 18%, I'd like to know what it is.
We know that a gray card will meter the same as a black and white checkerboard, provided that an equal number of black and white squares are metered. This implies that both a gray card and a checkerboard have the same reflectance, videlicet, 18%. A natural assumption is that black has a reflectance of 0, therefore, white must have a reflectance of 36%.
Proceeding logically from there leads to a mathematical paradox.
If you take a (properly metered, exposed, and processed) picture of a gray card you get a negative that matches the gray card, as does a print made from that negative. All three, the gray card, the negative and the print, will be Zone V. For the sake of argument let's suppose that the combination of shutter speed, aperture and film speed was such that 1,000,000 photons had to pass through the lens to produce this negative. Now let's suppose that we have a card that is Zone VI. If we wish to produce a Zone V negative and print by taking a picture of this Zone VI card we have to reduce exposure by one stop, say be reducing the time the shutter is open by half. But to get a Zone V negative we still need 1,000,000 photons, which implies that the Zone VI card must have reflected 2,000,000 photons. That means a Zone VI card must have a reflectance of 36%.
But have we not already established that white (Zone X) has 36% reflectance?
Therein lies the paradox. Obviously, there's a flaw in the logic somewhere, but where? If you can enlighten me, I'd be grateful.
The maximum a white card (Zone X) could reflect is 100% of incident light, then a Zone IX card would reflect 50%, Zone VIII 25%, Zone VII 12.5%, Zone VI 6.25% and Zone V (gray card) 3.125%. There's no way a gray card reflects 18% of incident light.