Lumens/sq. meter/steradian to Candelas/square centimeter Converter (lm/(m²·sr) to cd/cm²)
lm/(m²·sr) × 0.0001 = cd/cm²
Calculation: 1 lm/(m²·sr) × 0.0001 = 0.0001 cd/cm²
Common Lumen/sq. meter/steradian to Candela/square centimeter Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Lumen/sq. meter/steradian (lm/(m²·sr)) and Candela/square centimeter (cd/cm²).
| Conversion & Equivalent Value | Scientific Notation |
|---|---|
| 0.001 lm/(m²·sr) 1 × 10⁻⁷ cd/cm² | 1 × 10⁻⁷ |
| 0.01 lm/(m²·sr) 1 × 10⁻⁶ cd/cm² | 1 × 10⁻⁶ |
| 0.1 lm/(m²·sr) 1 × 10⁻⁵ cd/cm² | 1 × 10⁻⁵ |
| 0.5 lm/(m²·sr) 5 × 10⁻⁵ cd/cm² | 5 × 10⁻⁵ |
| 1 lm/(m²·sr) 0.0001 cd/cm² | 1 × 10⁻⁴ |
| 2 lm/(m²·sr) 0.0002 cd/cm² | 2 × 10⁻⁴ |
| 5 lm/(m²·sr) 0.0005 cd/cm² | 5 × 10⁻⁴ |
| 10 lm/(m²·sr) 0.001 cd/cm² | 1 × 10⁻³ |
| 20 lm/(m²·sr) 0.002 cd/cm² | 2 × 10⁻³ |
| 25 lm/(m²·sr) 0.0025 cd/cm² | 2.5 × 10⁻³ |
| 50 lm/(m²·sr) 0.005 cd/cm² | 5 × 10⁻³ |
| 100 lm/(m²·sr) 0.01 cd/cm² | 1 × 10⁻² |
| 250 lm/(m²·sr) 0.025 cd/cm² | 2.5 × 10⁻² |
| 500 lm/(m²·sr) 0.05 cd/cm² | 5 × 10⁻² |
| 1000 lm/(m²·sr) 0.1 cd/cm² | 1 × 10⁻¹ |
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 cd/cm² 10000 lm/(m²·sr) | 1 × 10⁴ |
| 5 cd/cm² 50000 lm/(m²·sr) | 5 × 10⁴ |
| 10 cd/cm² 100000 lm/(m²·sr) | 1 × 10⁵ |
| 50 cd/cm² 500000 lm/(m²·sr) | 5 × 10⁵ |
| 100 cd/cm² 1000000 lm/(m²·sr) | 1 × 10⁶ |
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/sq. meter/steradian (lm/(m²·sr)) and Candela/square centimeter (cd/cm²):
Lumen/sq. meter/steradian References:
- Commercial cinema movie theater projection screen brightness 50 lm/(m²·sr)
- Standard indoor office computer desktop monitor peak brightness 300 lm/(m²·sr)
- High-end smartphone HDR screen peak outdoor sunlight brightness 1500 lm/(m²·sr)
- Clear blue daytime sky zenith ambient luminance 5000 lm/(m²·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
How to Convert Lumen/sq. meter/steradian to Candela/square centimeter
Converting Lumen/sq. meter/steradian (lm/(m²·sr)) to Candela/square centimeter (cd/cm²) is a core calculation in Luminance, which measures the photometric luminous intensity emitted or reflected per unit area in a given direction. Both units reside within the International System of Units (SI) and share an identical physical dimension vector ([L⁻² J]), separated strictly by a decimal order-of-magnitude factor (10^-4). Because this shift involves integer powers of 10, the conversion is mathematically exact and free from decimal rounding or irrational fractional loss. Exactly 1 Lumen/sq. meter/steradian equals 0.0001 Candela/square centimeter.
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 lm/(m²·sr) = 1 candela per square meter (cd/m²)1 cd/cm² = 10000 candela per square meter (cd/m²)V(cd/cm²) = V(lm/(m²·sr)) × ( 1 / 10000 ) = V(lm/(m²·sr)) × 0.0001Value in Candela/square centimeter = Value in Lumen/sq. meter/steradian × 0.0001Direct computational formula applied for standard conversion.Converting 8 lm/(m²·sr) yields an exact output of 0.0008 cd/cm² in Candela/square centimeter. Under higher industrial throughput, 2500 lm/(m²·sr) translates to 0.25 cd/cm².
Inverse check: 1 cd/cm² = 10000 lm/(m²·sr).Understanding Lumen/sq. meter/steradian and Candela/square centimeter
Lumen/sq. meter/steradian
lm/(m²·sr)A Lumen/sq. meter/steradian (lm/(m²·sr)) is a recognized unit for luminance.
Applications & Practical Context
In practical luminance terms, a commercial cinema movie theater projection screen brightness equals 50 lm/(m²·sr), a standard indoor office computer desktop monitor peak brightness equals 300 lm/(m²·sr), a high-end smartphone HDR screen peak outdoor sunlight brightness equals 1500 lm/(m²·sr).
A luminance of 1 lm/(m²·sr) indicates a surface emitting or reflecting 1 Lumen/sq. meter/steradian of visible light intensity toward an observer.
1 lm/(m²·sr) = 1 cd/m²Candela/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/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 Candela/square centimeter |
|---|---|---|
| Commercial cinema movie theater projection screen brightness | 50 cd/m² | 0.005 cd/cm² |
| Standard indoor office computer desktop monitor peak brightness | 300 cd/m² | 0.03 cd/cm² |
| High-end smartphone HDR screen peak outdoor sunlight brightness | 1500 cd/m² | 0.15 cd/cm² |
| Clear blue daytime sky zenith ambient luminance | 5000 cd/m² | 0.5 cd/cm² |
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 lm/(m²·sr) × 1 = 1 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 = (1 cd/m²) × (0.067 m²) = 0.067 cd -
4. Convert to Standard Engineering Units:
• cd: 0.067 × 1 = 0.067 cd (Candela) • cp: 0.067 × 1.02 = 0.06834 cp (Candlepower) • HK: 0.067 × 1.107 = 0.07417 HK (Hefnerkerze) • carcel: 0.067 × 0.1042 = 0.006981 carcel (Carcel Unit) • mcd: 0.067 × 1000 = 67 mcd (Millicandela) • kcd: 0.067 × 0.001 = 6.7 × 10⁻⁵ 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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