Candelas/square centimeter to Lumens/sq. cm/steradian Converter (cd/cm² to lm/(cm²·sr))
cd/cm² × 1 = lm/(cm²·sr)
Calculation: 1 cd/cm² × 1 = 1 lm/(cm²·sr)
Common Candela/square centimeter to Lumen/sq. cm/steradian Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Candela/square centimeter (cd/cm²) and Lumen/sq. cm/steradian (lm/(cm²·sr)).
| Conversion & Equivalent Value | Scientific Notation |
|---|---|
| 0.001 cd/cm² 0.001 lm/(cm²·sr) | 1 × 10⁻³ |
| 0.01 cd/cm² 0.01 lm/(cm²·sr) | 1 × 10⁻² |
| 0.1 cd/cm² 0.1 lm/(cm²·sr) | 1 × 10⁻¹ |
| 0.5 cd/cm² 0.5 lm/(cm²·sr) | 5 × 10⁻¹ |
| 1 cd/cm² 1 lm/(cm²·sr) | 1 × 10⁰ |
| 2 cd/cm² 2 lm/(cm²·sr) | 2 × 10⁰ |
| 5 cd/cm² 5 lm/(cm²·sr) | 5 × 10⁰ |
| 10 cd/cm² 10 lm/(cm²·sr) | 1 × 10¹ |
| 20 cd/cm² 20 lm/(cm²·sr) | 2 × 10¹ |
| 25 cd/cm² 25 lm/(cm²·sr) | 2.5 × 10¹ |
| 50 cd/cm² 50 lm/(cm²·sr) | 5 × 10¹ |
| 100 cd/cm² 100 lm/(cm²·sr) | 1 × 10² |
| 250 cd/cm² 250 lm/(cm²·sr) | 2.5 × 10² |
| 500 cd/cm² 500 lm/(cm²·sr) | 5 × 10² |
| 1000 cd/cm² 1000 lm/(cm²·sr) | 1 × 10³ |
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 lm/(cm²·sr) 1 cd/cm² | 1 × 10⁰ |
| 5 lm/(cm²·sr) 5 cd/cm² | 5 × 10⁰ |
| 10 lm/(cm²·sr) 10 cd/cm² | 1 × 10¹ |
| 50 lm/(cm²·sr) 50 cd/cm² | 5 × 10¹ |
| 100 lm/(cm²·sr) 100 cd/cm² | 1 × 10² |
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 Candela/square centimeter (cd/cm²) and Lumen/sq. cm/steradian (lm/(cm²·sr)):
Candela/square centimeter References:
- Commercial cinema movie theater projection screen brightness 0.005 cd/cm²
- Standard indoor office computer desktop monitor peak brightness 0.03 cd/cm²
- High-end smartphone HDR screen peak outdoor sunlight brightness 0.15 cd/cm²
- Clear blue daytime sky zenith ambient luminance 0.5 cd/cm²
Lumen/sq. cm/steradian References:
- Commercial cinema movie theater projection screen brightness 0.005 lm/(cm²·sr)
- Standard indoor office computer desktop monitor peak brightness 0.03 lm/(cm²·sr)
- High-end smartphone HDR screen peak outdoor sunlight brightness 0.15 lm/(cm²·sr)
- Clear blue daytime sky zenith ambient luminance 0.5 lm/(cm²·sr)
How to Convert Candela/square centimeter to Lumen/sq. cm/steradian
Converting Candela/square centimeter (cd/cm²) to Lumen/sq. cm/steradian (lm/(cm²·sr)) is a core calculation in Luminance, which measures the photometric luminous intensity emitted or reflected per unit area in a given direction. Both units share an identical 1:1 scale equivalence within this physical measurement domain. They represent the exact same physical magnitude under different metrological designations or derived SI formulations (1 cd/cm² ≡ 1 lm/(cm²·sr)). Any quantity expressed in Candela/square centimeter translates directly to Lumen/sq. cm/steradian without mathematical scaling.
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 per square meter (cd/m²)) without arbitrary rounding:
1 cd/cm² = 10000 candela per square meter (cd/m²)1 lm/(cm²·sr) = 10000 candela per square meter (cd/m²)V(lm/(cm²·sr)) = V(cd/cm²) × ( 10000 / 10000 ) = V(cd/cm²) × 1Value in Lumen/sq. cm/steradian = Value in Candela/square centimeter × 1Direct computational formula applied for standard conversion.Converting 36 cd/cm² yields an exact output of 36 lm/(cm²·sr) in Lumen/sq. cm/steradian. Under higher industrial throughput, 480 cd/cm² translates to 480 lm/(cm²·sr).
Inverse check: 1 lm/(cm²·sr) = 1 cd/cm².Understanding Candela/square centimeter and Lumen/sq. cm/steradian
Candela/square centimeter
cd/cm²A Candela/square centimeter (cd/cm²) is a recognized unit for luminance.
Applications & Practical Context
In practical luminance terms, a commercial cinema movie theater projection screen brightness equals 0.005 cd/cm², a standard indoor office computer desktop monitor peak brightness equals 0.03 cd/cm², a high-end smartphone HDR screen peak outdoor sunlight brightness equals 0.15 cd/cm².
A physical magnitude of 1 cd/cm² corresponds to 10000 cd/m² in standard SI measurement.
1 cd/cm² = 10000 cd/m²Lumen/sq. cm/steradian
lm/(cm²·sr)A Lumen/sq. cm/steradian (lm/(cm²·sr)) is a recognized unit for luminance.
Applications & Practical Context
In practical luminance terms, a commercial cinema movie theater projection screen brightness equals 0.005 lm/(cm²·sr), a standard indoor office computer desktop monitor peak brightness equals 0.03 lm/(cm²·sr), a high-end smartphone HDR screen peak outdoor sunlight brightness equals 0.15 lm/(cm²·sr).
A physical magnitude of 1 lm/(cm²·sr) corresponds to 10000 cd/m² in standard SI measurement.
1 lm/(cm²·sr) = 10000 cd/m²Domain Metrology & Engineering Applications
Surface Photometric Radiance (L_v = d²Φ_v / (dA·cosθ·dΩ))
Rigorously quantified in laboratory and field settings using narrow-angle spot luminance meters, imaging colorimeters, and spectroradiometers.
Applied across OLED/LCD display brightness calibration (nits), road tunnel entrance lighting, avionics cockpit HUD readability, and highway signage legibility under international metrology standard ISO 80000-7:2019, CIE 018:2019.
Physical Orders of Magnitude & Laboratory Reference Benchmarks
| Physical Phenomenon / Engineering Reference | Reference Value | Converted to Lumen/sq. cm/steradian |
|---|---|---|
| Commercial cinema movie theater projection screen brightness | 50 cd/m² | 50 lm/(cm²·sr) |
| Standard indoor office computer desktop monitor peak brightness | 300 cd/m² | 300 lm/(cm²·sr) |
| High-end smartphone HDR screen peak outdoor sunlight brightness | 1500 cd/m² | 1500 lm/(cm²·sr) |
| Clear blue daytime sky zenith ambient luminance | 5000 cd/m² | 5000 lm/(cm²·sr) |
Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-7:2019, CIE 018:2019 and the BIPM SI Brochure (9th Edition). Governed by Surface Photometric Radiance (L_v = d²Φ_v / (dA·cosθ·dΩ)) under ISO 80000 dimensional vector [L⁻² J].
Surface Luminance to Total Luminous Intensity Bridge (Candela • Candlepower • Hefnerkerze • Millicandela • Kilocandela)
Calculate total directional luminous intensity I_v = L_v × A from emissive displays and optical diffusers, bridging surface luminance [L⁻² J] and luminous intensity [J] via aperture area (A).
I_v = L_v × A
[cd/m²] × [m²] → [cd]
-
1. Normalize Input to SI Base Unit (cd/m²):
L_v = 1 cd/cm² × 10000 = 10000 cd/m² -
2. Apply Engineering Parameter (A):
Selected condition: 15.6" Laptop Display (0.067 m²) at A = 0.067 m² -
3. Execute Governing Physical Law in SI Units:
I_v = L_v × A = (10000 cd/m²) × (0.067 m²) = 670 cd -
4. Convert to Standard Engineering Units:
• cd: 670 × 1 = 670 cd (Candela) • cp: 670 × 1.02 = 683.4 cp (Candlepower) • HK: 670 × 1.107 = 741.69 HK (Hefnerkerze) • carcel: 670 × 0.1042 = 69.814 carcel (Carcel Unit) • mcd: 670 × 1000 = 670000 mcd (Millicandela) • kcd: 670 × 0.001 = 0.67 kcd (Kilocandela)
| Engineering Substance / Operating Standard | Parameter Value (m²) | Reference State / Condition | Typical Industrial & Engineering Application |
|---|---|---|---|
| 6.1" Smartphone Screen (0.009 m²) | 0.009 |
0.009 m² (90 cm²) | OLED mobile display panel surface aperture |
| 15.6" Laptop Display (0.067 m²) | 0.067 |
0.067 m² (670 cm²) | Commercial notebook IPS screen aperture |
| 55" Ultra HD Television (0.834 m²) | 0.834 |
0.834 m² (8,340 cm²) | Living room 4K LED/OLED television surface |
| LED Replacement Bulb Frosted Lens (0.005 m²) | 0.005 |
0.005 m² (50 cm²) | Standard A19 household diffuser globe |
| Commercial Outdoor LED Billboard (18 m²) | 18 |
18.0 m² (194 ft²) | Highway electronic digital billboard face |
Frequently Asked Questions
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