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The formula to calculate Millicandela (mcd) from Lumens (lm) is:
\[ I_v (\text{mcd}) = \frac{1000 \times \Phi_v (\text{lm})}{2\pi (1 - \cos(\theta / 2))} \]
Where:
Lumen (lm) is a unit of luminous flux, representing the total amount of light emitted by a source. Millicandela (mcd) is a unit of luminous intensity, representing the power emitted by a light source in a particular direction. The conversion from lumens to millicandela depends on the angle over which the light is emitted.
Let's assume the following values:
Using the formula:
\[ I_v = \frac{1000 \times 1000}{2\pi (1 - \cos(30 / 2))} \]
\[ I_v = \frac{1000000}{2\pi (1 - \cos(15))} \]
\[ I_v = \frac{1000000}{2\pi (1 - 0.9659)} \]
\[ I_v = \frac{1000000}{2\pi \times 0.0341} \]
\[ I_v = \frac{1000000}{0.214} \]
The Luminous Intensity (mcd) is approximately 4674734.74 mcd.
| Lumens (lm) | Millicandela (mcd) | Angle (degrees) |
|---|---|---|
| 10 | 11,879.487 | 60 |
| 20 | 23,758.973 | 60 |
| 30 | 35,638.460 | 60 |
| 40 | 47,517.947 | 60 |
| 50 | 59,397.433 | 60 |
| 60 | 71,276.920 | 60 |
| 70 | 83,156.407 | 60 |
| 80 | 95,035.893 | 60 |
| 90 | 106,915.380 | 60 |
| 100 | 118,794.867 | 60 |
| 110 | 130,674.353 | 60 |
| 120 | 142,553.840 | 60 |
| 130 | 154,433.327 | 60 |
| 140 | 166,312.813 | 60 |
| 150 | 178,192.300 | 60 |
| 160 | 190,071.787 | 60 |
| 170 | 201,951.274 | 60 |
| 180 | 213,830.760 | 60 |
| 190 | 225,710.247 | 60 |
| 200 | 237,589.734 | 60 |
| 210 | 249,469.220 | 60 |
| 220 | 261,348.707 | 60 |
| 230 | 273,228.194 | 60 |
| 240 | 285,107.680 | 60 |
| 250 | 296,987.167 | 60 |
| 260 | 308,866.654 | 60 |
| 270 | 320,746.140 | 60 |
| 280 | 332,625.627 | 60 |
| 290 | 344,505.114 | 60 |
| 300 | 356,384.600 | 60 |
| 310 | 368,264.087 | 60 |
| 320 | 380,143.574 | 60 |
| 330 | 392,023.060 | 60 |
| 340 | 403,902.547 | 60 |
| 350 | 415,782.034 | 60 |
| 360 | 427,661.520 | 60 |
| 370 | 439,541.007 | 60 |
| 380 | 451,420.494 | 60 |
| 390 | 463,299.980 | 60 |
| 400 | 475,179.467 | 60 |
| 410 | 487,058.954 | 60 |
| 420 | 498,938.440 | 60 |
| 430 | 510,817.927 | 60 |
| 440 | 522,697.414 | 60 |
| 450 | 534,576.901 | 60 |
| 460 | 546,456.387 | 60 |
| 470 | 558,335.874 | 60 |
| 480 | 570,215.361 | 60 |
| 490 | 582,094.847 | 60 |
| 500 | 593,974.334 | 60 |
| 510 | 605,853.821 | 60 |
| 520 | 617,733.307 | 60 |
| 530 | 629,612.794 | 60 |
| 540 | 641,492.281 | 60 |
| 550 | 653,371.767 | 60 |
| 560 | 665,251.254 | 60 |
| 570 | 677,130.741 | 60 |
| 580 | 689,010.227 | 60 |
| 590 | 700,889.714 | 60 |
| 600 | 712,769.201 | 60 |
| 610 | 724,648.687 | 60 |
| 620 | 736,528.174 | 60 |
| 630 | 748,407.661 | 60 |
| 640 | 760,287.147 | 60 |
| 650 | 772,166.634 | 60 |
| 660 | 784,046.121 | 60 |
| 670 | 795,925.607 | 60 |
| 680 | 807,805.094 | 60 |
| 690 | 819,684.581 | 60 |
| 700 | 831,564.067 | 60 |
| 710 | 843,443.554 | 60 |
| 720 | 855,323.041 | 60 |
| 730 | 867,202.527 | 60 |
| 740 | 879,082.014 | 60 |
| 750 | 890,961.501 | 60 |
| 760 | 902,840.988 | 60 |
| 770 | 914,720.474 | 60 |
| 780 | 926,599.961 | 60 |
| 790 | 938,479.448 | 60 |
| 800 | 950,358.934 | 60 |
| 810 | 962,238.421 | 60 |
| 820 | 974,117.908 | 60 |
| 830 | 985,997.394 | 60 |
| 840 | 997,876.881 | 60 |
| 850 | 1,009,756.368 | 60 |
| 860 | 1,021,635.854 | 60 |
| 870 | 1,033,515.341 | 60 |
| 880 | 1,045,394.828 | 60 |
| 890 | 1,057,274.314 | 60 |
| 900 | 1,069,153.801 | 60 |
| 910 | 1,081,033.288 | 60 |
| 920 | 1,092,912.774 | 60 |
| 930 | 1,104,792.261 | 60 |
| 940 | 1,116,671.748 | 60 |
| 950 | 1,128,551.234 | 60 |
| 960 | 1,140,430.721 | 60 |
| 970 | 1,152,310.208 | 60 |
| 980 | 1,164,189.694 | 60 |
| 990 | 1,176,069.181 | 60 |
| 1000 | 1,187,948.668 | 60 |