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Lumen to Lux conversion -- Calculation of luminous intensity and illuminance

Defining the brightness of an LED lighting or other light source in terms of the luminous flux (the light output) of a is more of a theoretical measure. Luminous flux, measured in lumens (lm), describes the total light output emitted by the lamp in all directions.

More important for the user is the luminous intensity, which is measured in candela (cd). It defines the luminous flux that is emitted in a specific spatial direction.

Luminous intensity = luminous flux in lumens / solid angle in steradians

I = Φ / Ω

The illuminance is of special importance. This is given in lux (lx) and is a measure of how much light arrives from our light source on a given surface. The illuminance depends on the illuminated solid angle and the working distance from the light source. The illuminance decreases with the square of the distance.

Illuminance = luminous intensity in lumen / working distance squared

E = I / r2

Lumen to Lux conversion

Luninous flux of illumination (Lumen):
Light source angle of radiation:
Working distance of light source in mm:


Luminous intensity (Candela):
Illuminance (Lux):
Solid Angle (Steradiant):
Approx. diameter of light spot of point light source:
Area in square meters:


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Attention: Please explicitly observe the data sheets of the illumination manufacturers about the homogeneity of the light dot and the reduction of the illumination intensity towards the margin!

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