Candles to Lumens/steradian Converter (candle (German) to lm/sr)
candle (German) × 1.05 = lm/sr
Calculation: 1 candle (German) × 1.05 = 1.05 lm/sr
Common Candle to Lumen/steradian Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Candle (candle (German)) and Lumen/steradian (lm/sr).
| Conversion & Equivalent Value | Scientific Notation |
|---|---|
| 0.001 candle (German) 0.00105 lm/sr | 1.05 × 10⁻³ |
| 0.01 candle (German) 0.0105 lm/sr | 1.05 × 10⁻² |
| 0.1 candle (German) 0.105 lm/sr | 1.05 × 10⁻¹ |
| 0.5 candle (German) 0.525 lm/sr | 5.25 × 10⁻¹ |
| 1 candle (German) 1.05 lm/sr | 1.05 × 10⁰ |
| 2 candle (German) 2.1 lm/sr | 2.1 × 10⁰ |
| 5 candle (German) 5.25 lm/sr | 5.25 × 10⁰ |
| 10 candle (German) 10.5 lm/sr | 1.05 × 10¹ |
| 20 candle (German) 21 lm/sr | 2.1 × 10¹ |
| 25 candle (German) 26.25 lm/sr | 2.625 × 10¹ |
| 50 candle (German) 52.5 lm/sr | 5.25 × 10¹ |
| 100 candle (German) 105 lm/sr | 1.05 × 10² |
| 250 candle (German) 262.5 lm/sr | 2.625 × 10² |
| 500 candle (German) 525 lm/sr | 5.25 × 10² |
| 1000 candle (German) 1050 lm/sr | 1.05 × 10³ |
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 lm/sr 0.952381 candle (German) | 9.524 × 10⁻¹ |
| 5 lm/sr 4.761905 candle (German) | 4.762 × 10⁰ |
| 10 lm/sr 9.52381 candle (German) | 9.524 × 10⁰ |
| 50 lm/sr 47.619048 candle (German) | 4.762 × 10¹ |
| 100 lm/sr 95.238095 candle (German) | 9.524 × 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 Candle (candle (German)) and Lumen/steradian (lm/sr):
Candle References:
- Standard common utility household wax candle flame intensity 0.952381 candle (German)
- Standard 100-watt domestic incandescent light bulb intensity 114.29 candle (German)
- High-power outdoor search and rescue LED flashlight beam 952.38 candle (German)
- Automotive vehicle high-beam headlight beam luminous intensity 23809.52 candle (German)
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
How to Convert Candle to Lumen/steradian
Converting Candle (candle (German)) to Lumen/steradian (lm/sr) 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 Candle represents a larger magnitude than Lumen/steradian, converting from candle (German) to lm/sr expands the numerical figure. Exactly 1 Candle encompasses 1.05 Lumen/steradian. To convert any quantity, multiply the value in Candle by 1.05.
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 candle (German) = 1.05 candela (cd)1 lm/sr = 1 candela (cd)V(lm/sr) = V(candle (German)) × ( 1.05 / 1 ) = V(candle (German)) × 1.05Value in Lumen/steradian = Value in Candle × 1.05Direct computational formula applied for standard conversion.For an engineering input of 36 candle (German), applying the conversion factor yields exactly 37.8 lm/sr. At larger operational scale, 5000 Candle corresponds to 5250 lm/sr.
Inverse check: 1 lm/sr = 0.952381 candle (German).Understanding Candle and Lumen/steradian
Candle
candle (German)A Candle (candle (German)) 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 0.952381 candle (German), a standard 100-watt domestic incandescent light bulb intensity equals 114.29 candle (German), a high-power outdoor search and rescue LED flashlight beam equals 952.38 candle (German).
A physical magnitude of 1 candle (German) corresponds to 1.05 cd in standard SI measurement.
1 candle (German) = 1.05 cdLumen/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 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 candle (German) × 1.05 = 1.05 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 = (1.05 cd) × (12.5664 sr) = 13.194689 lm -
4. Convert to Standard Engineering Units:
• lm: 13.194689 × 1 = 13.1947 lm (Lumens) • mlm: 13.194689 × 1000 = 13194.69 mlm (Millilumens) • klm: 13.194689 × 0.001 = 0.01319 klm (Kilolumens) • MSCP: 13.194689 × 0.07958 = 1.05 MSCP (Mean Spherical Candlepower) • cp-flux: 13.194689 × 0.07958 = 1.05 cp-flux (Candlepower Flux) • Mlm: 13.194689 × 1 × 10⁻⁶ = 1.319469 × 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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