If you have a decent reflector, distance above the water (for reasonable distances, say less than five feet
) has almost no effect. Most people remember something from a physics class about light intensity decreasing at a rate proportional to the cube of the distance from the light, but they forget the conditions for which this applies. The assumptions are:
point light source
no reflection
no absorption of light due to the medium it passes through
While a MH bulb can loosely be assumed to fit the point-source definition, the other two assumptions are way off for most aquarium setups. First, we use reflectors. A correctly-designed reflector puts more light
into the water than than the bulb itself. This is because the light from the reflector hits the water close to perpendicular to the surface. At close to perpendicular, more of the light penetrates the water surface, and less is reflected away by the surface. Light coming from the bulb, however, hits the water at an angle (except for directly under the bulb) More of this "direct" light is reflected off the water surface.
Once light gets into the tank, some of this light is absorbed by the water. Light absorption in air, however, is almost nothing compared to absorption by water.
So, first, use the best reflector you can get. And then, put your light whatever height works best for you in terms of heat and water splashing. And don't worry that by putting your light a few inches higher, you are measurably reducing the amount of light getting into your tank.