The formula to calculate Millicandela (\(mcd\)) from Lumens (\(lm\)) is:
\[ mcd = \frac{1000 \times lm}{2 \pi (1 - \cos(\theta / 2))} \]
Where:
Lumens (lm) measure the total amount of visible light emitted by a source. Millicandela (mcd) measures the luminous intensity in a specific direction, where 1 candela (cd) is equal to 1000 millicandela.
The apex angle is the angle at the tip of a cone, defining the spread of the light.
Let's assume the following values:
Using the formula:
\[ mcd = \frac{1000 \times 1000}{2 \pi (1 - \cos(30 / 2))} \]
Evaluating:
\[ mcd = \frac{1000000}{2 \pi (1 - \cos(15))} \]
The Millicandela is approximately 4670837.9 mcd.
| Lumens (lm) | Apex Angle (degrees) | Millicandela (mcd) |
|---|---|---|
| 100 | 10 | 4,182,452.4553 |
| 100 | 20 | 1,047,606.3430 |
| 100 | 30 | 467,083.7933 |
| 100 | 40 | 263,906.2502 |
| 100 | 50 | 169,869.9796 |
| 100 | 60 | 118,794.8668 |
| 100 | 70 | 88,004.8339 |
| 100 | 80 | 68,027.8533 |
| 100 | 90 | 54,338.8965 |
| 200 | 10 | 8,364,904.9105 |
| 200 | 20 | 2,095,212.6860 |
| 200 | 30 | 934,167.5865 |
| 200 | 40 | 527,812.5004 |
| 200 | 50 | 339,739.9593 |
| 200 | 60 | 237,589.7336 |
| 200 | 70 | 176,009.6679 |
| 200 | 80 | 136,055.7067 |
| 200 | 90 | 108,677.7930 |
| 300 | 10 | 12,547,357.3658 |
| 300 | 20 | 3,142,819.0291 |
| 300 | 30 | 1,401,251.3798 |
| 300 | 40 | 791,718.7507 |
| 300 | 50 | 509,609.9389 |
| 300 | 60 | 356,384.6003 |
| 300 | 70 | 264,014.5018 |
| 300 | 80 | 204,083.5600 |
| 300 | 90 | 163,016.6896 |
| 400 | 10 | 16,729,809.8210 |
| 400 | 20 | 4,190,425.3721 |
| 400 | 30 | 1,868,335.1731 |
| 400 | 40 | 1,055,625.0009 |
| 400 | 50 | 679,479.9186 |
| 400 | 60 | 475,179.4671 |
| 400 | 70 | 352,019.3357 |
| 400 | 80 | 272,111.4133 |
| 400 | 90 | 217,355.5861 |
| 500 | 10 | 20,912,262.2763 |
| 500 | 20 | 5,238,031.7151 |
| 500 | 30 | 2,335,418.9663 |
| 500 | 40 | 1,319,531.2511 |
| 500 | 50 | 849,349.8982 |
| 500 | 60 | 593,974.3339 |
| 500 | 70 | 440,024.1697 |
| 500 | 80 | 340,139.2666 |
| 500 | 90 | 271,694.4826 |
| 600 | 10 | 25,094,714.7316 |
| 600 | 20 | 6,285,638.0581 |
| 600 | 30 | 2,802,502.7596 |
| 600 | 40 | 1,583,437.5013 |
| 600 | 50 | 1,019,219.8779 |
| 600 | 60 | 712,769.2007 |
| 600 | 70 | 528,029.0036 |
| 600 | 80 | 408,167.1200 |
| 600 | 90 | 326,033.3791 |
| 700 | 10 | 29,277,167.1868 |
| 700 | 20 | 7,333,244.4012 |
| 700 | 30 | 3,269,586.5528 |
| 700 | 40 | 1,847,343.7516 |
| 700 | 50 | 1,189,089.8575 |
| 700 | 60 | 831,564.0675 |
| 700 | 70 | 616,033.8375 |
| 700 | 80 | 476,194.9733 |
| 700 | 90 | 380,372.2757 |
| 800 | 10 | 33,459,619.6421 |
| 800 | 20 | 8,380,850.7442 |
| 800 | 30 | 3,736,670.3461 |
| 800 | 40 | 2,111,250.0018 |
| 800 | 50 | 1,358,959.8372 |
| 800 | 60 | 950,358.9342 |
| 800 | 70 | 704,038.6715 |
| 800 | 80 | 544,222.8266 |
| 800 | 90 | 434,711.1722 |
| 900 | 10 | 37,642,072.0974 |
| 900 | 20 | 9,428,457.0872 |
| 900 | 30 | 4,203,754.1394 |
| 900 | 40 | 2,375,156.2520 |
| 900 | 50 | 1,528,829.8168 |
| 900 | 60 | 1,069,153.8010 |
| 900 | 70 | 792,043.5054 |
| 900 | 80 | 612,250.6800 |
| 900 | 90 | 489,050.0687 |
| 1000 | 10 | 41,824,524.5526 |
| 1000 | 20 | 10,476,063.4302 |
| 1000 | 30 | 4,670,837.9326 |
| 1000 | 40 | 2,639,062.5022 |
| 1000 | 50 | 1,698,699.7965 |
| 1000 | 60 | 1,187,948.6678 |
| 1000 | 70 | 880,048.3393 |
| 1000 | 80 | 680,278.5333 |
| 1000 | 90 | 543,388.9652 |