plc,
when I was trying to figure this stuff out, I made a summary of the whole thing: here it is, for better or for worse:
A lumen radiates one candela of luminous flux uniformly in all directions (a lumen is the total output of one source in all directions). Placed in the center of a sphere with a diameter of one foot, one lumen produces one footcandle uniformly over a square foot at one foot away. Each point on that surface measures one footcandle. Placed in the center of a sphere with a diameter of one meter, one lumen produces one luxuniformly over a square meter at one meter away. Each point on that surface measures one lux.
Candela and candlepower measure intensity of a beam, the amount of energy in the light radiated in a particular direction; footcandle and lux measure illumination on a surface. Lumen measures the amount of energy in the light radiated in all directions.
One footcandle of luminance at one foot is 10.76 times weaker at one meter, and is called lux; it would take 10.76 footcandles to get a reading of one footcandle at one meter. One footcandle thus equals 10.76 lux; one lux is 10.76 times weaker than one footcandle.
"Throw for one footcandle": a source will measure one footcandle on a footcandle meter at this number of feet.
The lumen measures the total amount of energy in the light radiated in all directions, and the candela measures the amount radiated in a particular direction.
The lumen can be defined in terms of a source that radiates one candela uniformly in all directions. If a sphere with a radius of one foot were centered on the light source, then one square foot of the inside surface of the sphere would be illuminated with a flux of one lumen. Flux means the rate at which light energy is falling on the surface. The illumination, or luminance, of that one square foot is defined to be one foot-candle.
The illumination at a different distance from a source can be calculated from the inverse square law: One lumen of flux spreads out over an area that increases as the square of the distance from the center of the source. This means that the light per square foot decreases as the inverse square of the distance from the source. For instance, if 1 square foot of a surface that is 1 foot away from a source has an illumination of 1 foot-candle, then 1 square foot of a surface that is 4 feet away will have an illumination of 1/16 foot-candle. This is because 4 feet away from the source, the 1 lumen of flux landing on 1 square foot has had to spread out over 16 square feet. In the metric system, the unit of luminous flux is also called the lumen, and the unit of illumination is defined in meters and is called the lux.