# Millicandela to lumens calculator

Convert luminous intensity from millicandelas (mcd) to luminous flux in lumens (lm). Perfect for LED specifications, lighting design, and beam angle calculations. Accurately convert millicandela to lumens using this convenient online tool.

## What is Millicandela to lumens

Converting millicandela (mcd) to lumens (lm) requires additional information about the solid angle or beam angle over which the light is distributed. Millicandela is a unit of measurement for luminous intensity, which represents the concentration of light within a specific solid angle.

To calculate lumens from millicandela, you need to know the solid angle in steradians (sr) over which the luminous intensity is emitted. The formula for this conversion is:

Lumens (lm) = Millicandela (mcd) x Solid Angle (sr)

The result will be in lumens.

Without the solid angle information, it is not possible to provide an accurate conversion from millicandela to lumens.

When converting between these units, it is important to consider the angular distribution of light from the source and the specific application requirements. Proper measurement and specification of luminous intensity require knowledge of the solid angle or beam angle over which the light is emitted.

To get an accurate conversion, refer to the specifications provided by the manufacturer or consult a specific conversion chart for the particular light source you are using.

## Millicandela to lumens calculation

For uniform, isotropic light source, the luminous flux Φ_{v }
in lumens (lm) is equal to the luminous intensity *I*_{v} in millicandela (mcd),

times the solid angle *Ω* in steradians (sr) divided by 1000:

*Φ*_{v(lm)} = *I*_{v(mcd)} × *Ω*_{(sr)} / 1000

The solid angle *Ω* in steradians (sr) is equal to 2 times pi times 1 minus cosine of half the apex angle *θ* in degrees (°):

*Ω*_{(sr)} = 2π(1 - cos(*θ*/2))

The luminous flux Φ_{v }
in lumens (lm) is equal to the luminous intensity *I*_{v} in millicandela (mcd),

times 2 times pi times 1 minus cosine of half the apex angle *θ* in degrees (°) divided by 1000:

*Φ*_{v(lm)} = *I*_{v(mcd)} × ( 2π(1 - cos(*θ*/2)) ) / 1000

So

lumens = millicandela × ( 2π(1 - cos(degrees/2)) ) / 1000

Or

lm = mcd × ( 2π(1 - cos(°/2)) ) / 1000

## Millicandela to lumens Example

To convert Millicandela (mcd) to Lumens (lm), you need to consider the solid angle over which the luminous intensity is measured. The equation for this conversion is:

Lumens (lm) = Millicandela (mcd) × Solid Angle (in steradians)

Here's an example to demonstrate the conversion using a calculator:

Let's assume you have a light source with different luminous intensity values in Millicandela (mcd), and you want to calculate the equivalent luminous flux in Lumens (lm) for a specific solid angle. For this example, we'll use a solid angle of 1 steradian:

Luminous Intensity (mcd) | Luminous Flux (lm) |
---|---|

1000 | 1000 |

500 | 500 |

200 | 200 |

100 | 100 |

To convert the luminous intensity from Millicandela to Lumens, multiply the value in Millicandela by the solid angle in steradians.

For example, if the luminous intensity is 1000 mcd and the solid angle is 1 steradian, the luminous flux would be 1000 mcd × 1 steradian = 1000 lm.

Similarly, for a luminous intensity of 500 mcd and the same solid angle of 1 steradian, the luminous flux would be 500 mcd × 1 steradian = 500 lm.

Perform the same calculation for other luminous intensity values in the table, multiplying each value by the solid angle in steradians.

Please note that the actual luminous flux may vary depending on the specific characteristics of the light source and the measurement conditions. The solid angle used in the calculation should be based on the geometry of your measurement setup or the specifications provided by the light source manufacturer.