Lumens/steradian to Hefnerkerzes Converter (lm/sr to HK)
lm/sr × 1.10741971 = HK
Calculation: 1 lm/sr × 1.10741971 = 1.10741971 HK
Common Lumen/steradian to Hefnerkerze Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Lumen/steradian (lm/sr) and Hefnerkerze (HK).
| Conversion & Equivalent Value | Scientific Notation |
|---|---|
| 0.001 lm/sr 0.00110742 HK | 1.107 × 10⁻³ |
| 0.01 lm/sr 0.0110742 HK | 1.107 × 10⁻² |
| 0.1 lm/sr 0.110742 HK | 1.107 × 10⁻¹ |
| 0.5 lm/sr 0.55371 HK | 5.537 × 10⁻¹ |
| 1 lm/sr 1.10742 HK | 1.107 × 10⁰ |
| 2 lm/sr 2.214839 HK | 2.215 × 10⁰ |
| 5 lm/sr 5.537099 HK | 5.537 × 10⁰ |
| 10 lm/sr 11.074197 HK | 1.107 × 10¹ |
| 20 lm/sr 22.148394 HK | 2.215 × 10¹ |
| 25 lm/sr 27.685493 HK | 2.769 × 10¹ |
| 50 lm/sr 55.370986 HK | 5.537 × 10¹ |
| 100 lm/sr 110.741971 HK | 1.107 × 10² |
| 250 lm/sr 276.854928 HK | 2.769 × 10² |
| 500 lm/sr 553.709856 HK | 5.537 × 10² |
| 1000 lm/sr 1107.419712 HK | 1.107 × 10³ |
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 HK 0.903 lm/sr | 9.03 × 10⁻¹ |
| 5 HK 4.515 lm/sr | 4.515 × 10⁰ |
| 10 HK 9.03 lm/sr | 9.03 × 10⁰ |
| 50 HK 45.15 lm/sr | 4.515 × 10¹ |
| 100 HK 90.3 lm/sr | 9.03 × 10¹ |
Real-World Context & Everyday Benchmarks
Tap to load into converterTo help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Lumen/steradian (lm/sr) and Hefnerkerze (HK):
Lumen/steradian References:
- Standard common utility household wax candle flame intensity 1 lm/sr
- Standard 100-watt domestic incandescent light bulb intensity 120 lm/sr
- High-power outdoor search and rescue LED flashlight beam 1000 lm/sr
- Automotive vehicle high-beam headlight beam luminous intensity 25000 lm/sr
Hefnerkerze References:
- Standard common utility household wax candle flame intensity 1.1074 HK
- Standard 100-watt domestic incandescent light bulb intensity 132.89 HK
- High-power outdoor search and rescue LED flashlight beam 1107.42 HK
- Automotive vehicle high-beam headlight beam luminous intensity 27685.49 HK
How to Convert Lumen/steradian to Hefnerkerze
Converting Lumen/steradian (lm/sr) to Hefnerkerze (HK) is a core calculation in Luminous Intensity, which measures the wavelength-weighted photometric power emitted by a light source in a direction per unit solid angle. Because Lumen/steradian represents a larger magnitude than Hefnerkerze, converting from lm/sr to HK expands the numerical figure. Exactly 1 Lumen/steradian encompasses 1.10742 Hefnerkerze. To convert any quantity, multiply the value in Lumen/steradian by 1.10742.
Mathematical Conversion Derivation via Coherent SI Base Unit
Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (candela (cd)) without arbitrary rounding:
1 lm/sr = 1 candela (cd)1 HK = 0.903 candela (cd)V(HK) = V(lm/sr) × ( 1 / 0.903 ) = V(lm/sr) × 1.10742Value in Hefnerkerze = Value in Lumen/steradian × 1.10741971Direct computational formula applied for standard conversion.Evaluating an input of 120 Lumen/steradian (lm/sr) produces 132.890365 Hefnerkerze (HK). In heavy-duty utility and industrial workloads, 240 lm/sr equals 265.780731 HK.
Inverse check: 1 HK = 0.903 lm/sr.Understanding Lumen/steradian and Hefnerkerze
Lumen/steradian
lm/srA Lumen/steradian (lm/sr) is a recognized unit for luminous intensity.
Applications & Practical Context
In practical luminous intensity terms, a standard common utility household wax candle flame intensity equals 1 lm/sr, a standard 100-watt domestic incandescent light bulb intensity equals 120 lm/sr, a high-power outdoor search and rescue LED flashlight beam equals 1000 lm/sr.
A luminous intensity of 1 lm/sr represents the monochromatic light power emitted into a 1-steradian solid cone.
1 lm/sr = 1 cdHefnerkerze
HKA Hefnerkerze (HK) is a recognized unit for luminous intensity.
Applications & Practical Context
In practical luminous intensity terms, a standard common utility household wax candle flame intensity equals 1.1074 HK, a standard 100-watt domestic incandescent light bulb intensity equals 132.89 HK, a high-power outdoor search and rescue LED flashlight beam equals 1107.42 HK.
A physical magnitude of 1 HK corresponds to 0.903 cd in standard SI measurement.
1 HK = 0.903 cdDomain Metrology & Engineering Applications
Base SI Photometric Standard (540 × 10¹² Hz monochromatic radiation, K_cd ≡ 683 lm/W)
Rigorously quantified in laboratory and field settings using goniophotometers, integrating sphere spectroradiometers, and calibrated photodiode luminance meters.
Applied across automotive headlamp certification (ECE/SAE), architectural LED design, lighthouse beacons, and airport runway lighting under international metrology standard BIPM SI Brochure (9th Edition), CIE 018:2019.
Formulas, conversion coefficients, and base definitions on this page strictly adhere to the BIPM SI Brochure (9th Edition), CIE 018:2019. Governed by Base SI Photometric Standard (540 × 10¹² Hz monochromatic radiation, K_cd ≡ 683 lm/W) under ISO 80000 dimensional vector [J].
Luminous Intensity to Total Luminous Flux Bridge (Lumens • Millilumens • Kilolumens • MSCP)
Calculate total emitted luminous flux Φ = I_v × Ω across emission solid angles, bridging luminous intensity [J] and luminous flux [J] via solid angle (Ω).
Φ = I_v × Ω
[cd] × [sr] → [lm]
-
1. Normalize Input to SI Base Unit (cd):
I_v = 1 lm/sr × 1 = 1 cd -
2. Apply Engineering Parameter (Ω):
Selected condition: Full Isotropic Sphere (4π sr) at Ω = 12.5664 sr -
3. Execute Governing Physical Law in SI Units:
Φ = I_v × Ω = (1 cd) × (12.5664 sr) = 12.566371 lm -
4. Convert to Standard Engineering Units:
• lm: 12.566371 × 1 = 12.5664 lm (Lumens) • mlm: 12.566371 × 1000 = 12566.37 mlm (Millilumens) • klm: 12.566371 × 0.001 = 0.01257 klm (Kilolumens) • MSCP: 12.566371 × 0.07958 = 1 MSCP (Mean Spherical Candlepower) • cp-flux: 12.566371 × 0.07958 = 1 cp-flux (Candlepower Flux) • Mlm: 12.566371 × 1 × 10⁻⁶ = 1.256637 × 10⁻⁵ Mlm (Megalumens)
| Engineering Substance / Operating Standard | Parameter Value (sr) | Reference State / Condition | Typical Industrial & Engineering Application |
|---|---|---|---|
| Full Isotropic Sphere (4π sr) | 12.5664 |
4π ≈ 12.5664 sr | Uniform 360° omnidirectional point emitter (12.566 sr) |
| Hemispherical Lambertian Surface (π sr) | 3.1416 |
π ≈ 3.14159 sr | Ideal diffuse flat LED / OLED planar emitter |
| 60° Floodlight Beam Cone (0.842 sr) | 0.8418 |
2π(1 - cos 30°) sr | Commercial architectural recessed floodlight cone |
| 30° Narrow Spotlight Cone (0.214 sr) | 0.2141 |
2π(1 - cos 15°) sr | Track lighting & directional accent spotlight cone |
Frequently Asked Questions
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