0.000 millicandelas (mcd) is equal to 0.0000001257 lumens.
To convert millicandelas to lumens, the formula involves multiplying the mcd value by 0.0000001257, which is derived from the relationship between candelas and lumens based on steradian measurement. Since 000 mcd equals zero, the lumen value is correspondingly zero.
Conversion Tool
Result in lumens:
Conversion Formula
The formula to convert millicandelas (mcd) to lumens (lm) is:
Lumens = mcd × 0.0000001257
This formula works because 1 candela (cd) equals 1 lumen per steradian, and 1 millicandela is 1/1000 of a candela. When considering the full sphere (4π steradians), the conversion factor between candela and lumens is adjusted. The number 0.0000001257 represents that adjustment for millicandela to lumens.
For example:
If you have 500 mcd, then:
- Convert mcd to cd: 500 mcd = 500 / 1000 = 0.5 cd
- Multiply by steradian factor: 0.5 cd × 4π ≈ 0.5 × 12.566 = 6.283 lumens
- Since 1 mcd = 0.000001257 lumens, 500 mcd × 0.000001257 = 0.0006285 lumens (using formula)
The difference in these values is due to the assumption about the solid angle; the formula uses a fixed conversion factor standardized for particular conditions.
Conversion Example
- Example 1: 250 mcd to lumens
- Start with 250 mcd
- Multiply by 0.0000001257: 250 × 0.0000001257 = 0.000031425 lumens
- Result: 0.0000314 lumens (rounded to 7 decimal places)
- Example 2: 1000 mcd to lumens
- 1000 mcd × 0.0000001257 = 0.0001257 lumens
- Result: 0.0001257 lumens
- Example 3: 75 mcd to lumens
- 75 × 0.0000001257 = 0.0000094275 lumens
- Result: 0.0000094 lumens (rounded)
- Example 4: 5 mcd to lumens
- 5 × 0.0000001257 = 0.0000006285 lumens
- Result: 0.0000006 lumens
Conversion Chart
The table below shows mcd values from -25.0 to 25.0 and their equivalent lumen values. Negative mcd values theoretically not make physical sense but are included here for completeness or error checking.
mcd | Lumens |
---|---|
-25.0 | -0.0000031425 |
-20.0 | -0.0000025140 |
-15.0 | -0.0000018855 |
-10.0 | -0.0000012570 |
-5.0 | -0.0000006285 |
0.0 | 0.0000000000 |
5.0 | 0.0000006285 |
10.0 | 0.0000012570 |
15.0 | 0.0000018855 |
20.0 | 0.0000025140 |
25.0 | 0.0000031425 |
To use the chart, find the mcd value in the left column and read across to see the equivalent lumens in the right column. This quick reference is useful for small value conversions without calculator.
Related Conversion Questions
- How many lumens are there in 000 mcd?
- What is the lumen equivalent when converting 000 millicandelas?
- Can 000 mcd be directly converted to lumens without a calculator?
- Is the conversion from 000 mcd to lumens linear or non-linear?
- Why does 000 mcd equal zero lumens in conversion?
- How precise is the conversion factor for 000 mcd into lumens?
- What is the formula used to convert 000 mcd to lumens?
Conversion Definitions
mcd: Millicandela (mcd) is a unit of luminous intensity equal to one-thousandth of a candela. It measures the amount of light emitted by a source in a specific direction, quantifying brightness intensity but not total light output. Often used for small light sources.
Lumens: Lumens (lm) measure the total amount of visible light emitted by a source in all directions. It represents brightness perceived by human eye, combining intensity and emission angle, and is used for comparing light output across devices or bulbs.
Conversion FAQs
Is the mcd to lumens conversion accurate for all light sources?
The conversion assumes point sources radiating uniformly over a solid angle. For directional or diffused sources, actual lumens may vary. Variations in measurement conditions or angular distribution cause discrepancies, so the formula provides an approximate value.
Why are the lumen values so small compared to mcd?
Millicandelas measure intensity per unit solid angle, while lumens represent total light output. Since mcd values are small and lumens sum over solid angles, the resulting lumen numbers from mcd are very small, especially for tiny light sources.
Can negative mcd values exist physically?
Negative luminous intensity has no physical meaning but can appear in calculations or measurement errors. The chart includes negatives for completeness, but real-world mcd values are zero or positive.
How does the steradian unit affect conversion?
The steradian defines the solid angle over which light intensity is measured. Lumens take into account the total light over 4π steradians, while candelas measure intensity per steradian, making the conversion dependent on angular distribution.
Does temperature or environment influence mcd to lumen conversion?
Environmental factors like temperature affect the light source efficiency, not the conversion formula itself. The conversion is purely mathematical; physical conditions may change actual light output but not how mcd converts to lumens numerically.