Luminous Intensity Converter

Convert luminous intensity between candela, millicandela, kilocandela, lumen per steradian, candlepower and Hefnerkerze. Choose any two units for an instant, exact result.

Luminous Intensity Formula

All units on this page are expressed as multiples of the candela (cd), the SI base unit of luminous intensity. To convert, multiply the value by the factor of the source unit and divide by the factor of the target unit. Modern candlepower is identical to the candela, but the historical candlepower (the old international candle) is slightly smaller at 0.981 cd, so the tool lists them separately. The Hefnerkerze is an old German standard and its value of about 0.920 cd is approximate by nature.

Formula: Result = Value × (Factor of source unit ÷ Factor of target unit)
Conversion Formula
Result = Value × (Factor of source unit ÷ Factor of target unit)
Factors in cd: mcd = 0.001, kcd = 1,000, lm/sr = 1, cp = 1, cp (old) = 0.981, HK = 0.920
cd to HK: HK = cd ÷ 0.920
1 cd = 1 lm/sr
1 mcd = 0.001 cd
1 cp (historical) = 0.981 cd
1 HK ≈ 0.920 cd

What Is Luminous Intensity?

Luminous intensity is the amount of visible light a source sends in one particular direction, counted per unit of solid angle. Its SI unit is the candela (cd), one of the seven SI base units. One candela equals one lumen per steradian (lm/sr). Since the 2019 SI revision, the candela is defined by fixing the luminous efficacy of monochromatic green light of 540 × 10¹² Hz at exactly 683 lm/W.

Intensity tells you how concentrated a beam is. A lamp with a reflector may have the same total light output (lumens) as a bare bulb but a much higher candela rating in the beam direction. A source that radiates 1 cd equally in all directions emits a total of 4π lumens, about 12.5663706144 lm.

Before the candela, light sources were compared with real flames and lamps. That left a family of historical units, such as the candlepower and the German Hefnerkerze (HK), which was based on the Hefner lamp. Old catalogues, books and standards still use them. For brightness of surfaces see the Luminance Converter, and for light falling on a surface see the Illumination Converter.

Supported Luminous Intensity Units

Every unit below is converted through its definition in candela.

UnitSymbol1 unit equals (in cd)Basis
Candelacd1 cdSI base unit
Millicandelamcd0.001 cdExact
Kilocandelakcd1,000 cdExact
Lumen per steradianlm/sr1 cdExactly 1 cd
Candlepower (modern)cp1 cdModern usage: 1 cp = 1 cd
Candlepower (historical, pre-1948)cp (old)0.981 cd0.981 cd (international candle)
Hefnerkerze (Hefner candle)HK0.92 cdAbout 0.920 cd (historical)

How to Use the Luminous Intensity Converter

  1. Enter the luminous intensity in the input box. Decimals and scientific notation such as 0.02 or 2e-2 work.
  2. Select the unit to convert from and the unit to convert to.
  3. The answer appears immediately, together with the value in every other supported unit. You can also press Convert Now.
  4. Use Swap Units to reverse the conversion, Copy Result to copy the answer, or Reset to clear everything.

Choose Candlepower (modern) when a source quotes candlepower as a synonym of candela, and Candlepower (historical) for figures from before the 1948 redefinition.

Practical Examples

  • Indicator LED: a 20 mcd LED equals 20 × 0.001 = 0.02 cd.
  • Torch beam: a flashlight rated at 12,000 cd is 12 kcd.
  • Hefnerkerze: a lamp rated at 10 HK has an intensity of 10 × 0.920 = 9.2 cd.
  • Historical candlepower: 50 old candlepower = 50 × 0.981 = 49.05 cd.
  • Candela to HK: 1 cd = 1 ÷ 0.920 = 1.08695652174 HK.

Luminous Intensity – Common Values

Quick reference for frequently used conversions

Candela (cd)Millicandela (mcd)Candlepower (old)Hefnerkerze (HK)Lumen/steradian
0.00110.001019367991850.001086956521740.001
0.01100.01019367991850.01086956521740.01
0.11000.1019367991850.1086956521740.1
11,0001.019367991851.086956521741
55,0005.096839959235.43478260875
1010,00010.193679918510.869565217410
2525,00025.484199796127.173913043525
100100,000101.936799185108.695652174100
1,0001,000,0001,019.367991851,086.956521741,000

Real-Life Applications of Luminous Intensity Conversion

  • LED and lamp data sheets: indicator and signal LEDs are rated in millicandela, while spotlights and torches use candela.
  • Vehicle and bicycle lighting: headlamp, brake light and signal regulations set minimum and maximum intensities in candela.
  • Aviation and marine signals: navigation lights and obstruction lights have required intensities.
  • Lighting design: photometric files and fixture catalogues give intensity distributions in candela.
  • Historical documents: older German, British and American texts quote candlepower or Hefnerkerze.
  • Education and labs: physics courses use candela, lumen and steradian together.

Frequently Asked Questions

What is the unit of luminous intensity?
The SI unit is the candela (cd), equal to one lumen per steradian.
How many millicandela are in one candela?
1 candela equals 1,000 millicandela (mcd).
Is candlepower the same as candela?
In modern usage, yes: 1 candlepower is treated as 1 candela. The historical candlepower, based on the old international candle, was 0.981 cd. This converter lets you choose either.
What is a Hefnerkerze?
The Hefnerkerze (HK) is a German unit based on the light of a standardized Hefner lamp. It is about 0.920 candela. It is rarely used now and its value is approximate.
How do I convert candela to lumens?
Lumens depend on the solid angle the light covers. For a source that is uniform over a cone or sphere, lumens = candela × solid angle in steradians. A 1 cd isotropic source emits 4π ≈ 12.5663706144 lm.
What is the difference between luminous intensity and luminance?
Intensity (cd) is light in a direction from a source. Luminance (cd/m²) is that intensity per unit area of the emitting or reflecting surface.
Does the converter use scientific notation?
Yes. Very large or very small answers switch to a form such as 2.5 × 10⁻⁷ automatically, and you can force it with the Scientific notation box.