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Lumens/sq. cm/steradian to Watt/sq. cm/srs (at 555 nm) Converter (lm/(cm²·sr) to W/(cm²·sr) @555nm)

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Live Conversion • ISO 80000-7:2019 Certified
1 Lumen/sq. cm/steradian = 0.0014641288 Watt/sq. cm/sr (at 555 nm)
1 lm/(cm²·sr) = 0.00146413 W/(cm²·sr) @555nm • 1 W/(cm²·sr) @555nm = 683 lm/(cm²·sr)
Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm): One Lumen/sq. cm/steradian is equal to 0.0014641288 Watt/sq. cm/srs (at 555 nm).
Certified Authority Value
0.00146413
W/(cm²·sr) @555nm
Exact: 1 W/(cm²·sr) @555nm ≡ 683 lm/(cm²·sr)
lm/(cm²·sr)
lm/(cm²·sr)
Swap to Watt/sq. cm/sr (at 555 nm) to Lumen/sq. cm/steradian
Swap to Watt/sq. cm/sr (at 555 nm) to Lumen/sq. cm/steradian
W/(cm²·sr) @555nm
W/(cm²·sr) @555nm 0.0014641288
Quick Values:
Conversion Formula
To convert Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm), multiply by 0.0014641288
lm/(cm²·sr) × 0.0014641288 = W/(cm²·sr) @555nm

Calculation: 1 lm/(cm²·sr) × 0.0014641288 = 0.0014641288 W/(cm²·sr) @555nm

Common Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm) Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Lumen/sq. cm/steradian (lm/(cm²·sr)) and Watt/sq. cm/sr (at 555 nm) (W/(cm²·sr) @555nm).

Tap any row to calculate
Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm): Primary Direct Table (15 Steps)
Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm) Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 lm/(cm²·sr) 1.464129 × 10⁻⁶ W/(cm²·sr) @555nm 1.464 × 10⁻⁶
0.01 lm/(cm²·sr) 1.464129 × 10⁻⁵ W/(cm²·sr) @555nm 1.464 × 10⁻⁵
0.1 lm/(cm²·sr) 0.000146413 W/(cm²·sr) @555nm 1.464 × 10⁻⁴
0.5 lm/(cm²·sr) 0.000732064 W/(cm²·sr) @555nm 7.321 × 10⁻⁴
1 lm/(cm²·sr) 0.00146413 W/(cm²·sr) @555nm 1.464 × 10⁻³
2 lm/(cm²·sr) 0.00292826 W/(cm²·sr) @555nm 2.928 × 10⁻³
5 lm/(cm²·sr) 0.00732064 W/(cm²·sr) @555nm 7.321 × 10⁻³
10 lm/(cm²·sr) 0.0146413 W/(cm²·sr) @555nm 1.464 × 10⁻²
20 lm/(cm²·sr) 0.0292826 W/(cm²·sr) @555nm 2.928 × 10⁻²
25 lm/(cm²·sr) 0.0366032 W/(cm²·sr) @555nm 3.66 × 10⁻²
50 lm/(cm²·sr) 0.0732064 W/(cm²·sr) @555nm 7.321 × 10⁻²
100 lm/(cm²·sr) 0.146413 W/(cm²·sr) @555nm 1.464 × 10⁻¹
250 lm/(cm²·sr) 0.366032 W/(cm²·sr) @555nm 3.66 × 10⁻¹
500 lm/(cm²·sr) 0.732064 W/(cm²·sr) @555nm 7.321 × 10⁻¹
1000 lm/(cm²·sr) 1.464129 W/(cm²·sr) @555nm 1.464 × 10⁰
Watt/sq. cm/sr (at 555 nm) to Lumen/sq. cm/steradian: Reciprocal Summary
Watt/sq. cm/sr (at 555 nm) to Lumen/sq. cm/steradian Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 W/(cm²·sr) @555nm 683 lm/(cm²·sr) 6.83 × 10²
5 W/(cm²·sr) @555nm 3415 lm/(cm²·sr) 3.415 × 10³
10 W/(cm²·sr) @555nm 6830 lm/(cm²·sr) 6.83 × 10³
50 W/(cm²·sr) @555nm 34150 lm/(cm²·sr) 3.415 × 10⁴
100 W/(cm²·sr) @555nm 68300 lm/(cm²·sr) 6.83 × 10⁴
View Complete 15-Row Watt/sq. cm/sr (at 555 nm) to Lumen/sq. cm/steradian Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Lumen/sq. cm/steradian (lm/(cm²·sr)) and Watt/sq. cm/sr (at 555 nm) (W/(cm²·sr) @555nm):

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)

Watt/sq. cm/sr (at 555 nm) References:

  • Commercial cinema movie theater projection screen brightness 7.0E-6 W/(cm²·sr) @555nm
  • Standard indoor office computer desktop monitor peak brightness 4.4E-5 W/(cm²·sr) @555nm
  • High-end smartphone HDR screen peak outdoor sunlight brightness 0.00022 W/(cm²·sr) @555nm
  • Clear blue daytime sky zenith ambient luminance 0.000732 W/(cm²·sr) @555nm

Tap any benchmark above to automatically calculate its exact equivalent in Watt/sq. cm/sr (at 555 nm).

ISQ Dimension: [L⁻² J] Coherent SI Unit: candela per square meter (cd/m²) Photometry, Radiometry, Optics & Acoustics

How to Convert Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm)

Converting Lumen/sq. cm/steradian (lm/(cm²·sr)) to Watt/sq. cm/sr (at 555 nm) (W/(cm²·sr) @555nm) is a core calculation in Luminance, which measures the photometric luminous intensity emitted or reflected per unit area in a given direction. Because Watt/sq. cm/sr (at 555 nm) is a broader physical scale than Lumen/sq. cm/steradian, converting from lm/(cm²·sr) to W/(cm²·sr) @555nm condenses the numerical figure. It takes 683 Lumen/sq. cm/steradian to equal a single Watt/sq. cm/sr (at 555 nm) (1 lm/(cm²·sr) = 0.00146413 W/(cm²·sr) @555nm). To convert any quantity, multiply by 0.00146413 (or divide by 683).

Direct Factor1 lm/(cm²·sr) = 0.00146413 W/(cm²·sr) @555nm
Inverse Ratio1 W/(cm²·sr) @555nm = 683 lm/(cm²·sr)
Conversion ScaleDirect Proportional Magnitude Compression
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

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:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 lm/(cm²·sr) = 10000 candela per square meter (cd/m²)
2. Target SI Bridge (ktarget):1 W/(cm²·sr) @555nm = 6830000 candela per square meter (cd/m²)
Step-by-step substitution for Lumen/sq. cm/steradian → Watt/sq. cm/sr (at 555 nm):V(W/(cm²·sr) @555nm) = V(lm/(cm²·sr)) × ( 10000 / 6830000 ) = V(lm/(cm²·sr)) × 0.00146413
Mathematical FormulaValue in Watt/sq. cm/sr (at 555 nm) = Value in Lumen/sq. cm/steradian × 0.0014641288Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 75 lm/(cm²·sr), applying the conversion factor yields exactly 0.10981 W/(cm²·sr) @555nm. At larger operational scale, 5000 Lumen/sq. cm/steradian corresponds to 7.320644 W/(cm²·sr) @555nm.

Inverse check: 1 W/(cm²·sr) @555nm = 683 lm/(cm²·sr).

Understanding Lumen/sq. cm/steradian and Watt/sq. cm/sr (at 555 nm)

Lumen/sq. cm/steradian

lm/(cm²·sr)
Standard Unit

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).

Physical Setup

A physical magnitude of 1 lm/(cm²·sr) corresponds to 10000 cd/m² in standard SI measurement.

Conversion to SI Unit: candela per square meter (cd/m²)
1 lm/(cm²·sr) = 10000 cd/m²

Watt/sq. cm/sr (at 555 nm)

W/(cm²·sr) @555nm
Standard Unit

A Watt/sq. cm/sr (at 555 nm) (W/(cm²·sr) @555nm) is a recognized unit for luminance.

Applications & Practical Context

In practical luminance terms, a commercial cinema movie theater projection screen brightness equals 7 × 10⁻⁶ W/(cm²·sr) @555nm, a standard indoor office computer desktop monitor peak brightness equals 4.4 × 10⁻⁵ W/(cm²·sr) @555nm, a high-end smartphone HDR screen peak outdoor sunlight brightness equals 0.00022 W/(cm²·sr) @555nm.

Physical Setup

A physical magnitude of 1 W/(cm²·sr) @555nm corresponds to 6830000 cd/m² in standard SI measurement.

Conversion to SI Unit: candela per square meter (cd/m²)
1 W/(cm²·sr) @555nm = 6830000 cd/m²

Domain Metrology & Engineering Applications

Governing Law & Equation

Surface Photometric Radiance (L_v = d²Φ_v / (dA·cosθ·dΩ))

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using narrow-angle spot luminance meters, imaging colorimeters, and spectroradiometers.

Primary Industry Sectors

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 ReferenceReference ValueConverted to Watt/sq. cm/sr (at 555 nm)
Commercial cinema movie theater projection screen brightness50 cd/m²0.0732064 W/(cm²·sr) @555nm
Standard indoor office computer desktop monitor peak brightness300 cd/m²0.439239 W/(cm²·sr) @555nm
High-end smartphone HDR screen peak outdoor sunlight brightness1500 cd/m²2.196193 W/(cm²·sr) @555nm
Clear blue daytime sky zenith ambient luminance5000 cd/m²7.320644 W/(cm²·sr) @555nm
Institutional Metrology & Standard Authority:

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].

Multi-Variable Engineering Bridge Display Brightness & Surface Emission

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
Vector: [cd/m²] × [m²] → [cd]
Live Calculated Bridge Equivalent:
1 lm/(cm²·sr) at 15.6" Laptop Display (0.067 m²) = 670 cd
Equals 683.4 cp • 741.69 HK • 69.814 carcel
SI Luminous Intensity
670
cd
Candela
Historical English
683.4
cp
Candlepower
German Standard
741.69
HK
Hefnerkerze
French Standard
69.814
carcel
Carcel Unit
Indicator LED
670000
mcd
Millicandela
Lighthouse Beacon
0.67
kcd
Kilocandela
  1. 1. Normalize Input to SI Base Unit (cd/m²):
    L_v = 1 lm/(cm²·sr) × 10000 = 10000 cd/m²
  2. 2. Apply Engineering Parameter (A):
    Selected condition: 15.6" Laptop Display (0.067 m²) at A = 0.067 m²
  3. 3. Execute Governing Physical Law in SI Units:
    I_v = L_v × A = (10000 cd/m²) × (0.067 m²) = 670 cd
  4. 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)
Explore Luminous Intensity Converter →
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
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Frequently Asked Questions

There are exactly 0.0014641288 watt/sq. cm/srs (at 555 nm) (W/(cm²·sr) @555nm) in 1 lumen/sq. cm/steradian (lm/(cm²·sr)). To calculate larger amounts manually, simply multiply your total number of lumens/sq. cm/steradian by the conversion multiplier of 0.0014641288.

The mathematical formula to convert lumens/sq. cm/steradian to watt/sq. cm/srs (at 555 nm) is: [value] * 0.0014641288 = watt/sq. cm/srs (at 555 nm). Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from watt/sq. cm/srs (at 555 nm) back to lumens/sq. cm/steradian, you must divide your starting value by 0.0014641288. Our bidirectional tool automatically computes this inverse equation the moment you type into the watt/sq. cm/sr (at 555 nm) input field.

1 Watt/sq. cm/sr (at 555 nm) is larger than 1 Lumen/sq. cm/steradian. Specifically, 1 Lumen/sq. cm/steradian equals 0.0014641288 watt/sq. cm/srs (at 555 nm), meaning 1 Watt/sq. cm/sr (at 555 nm) is 683 times larger than 1 Lumen/sq. cm/steradian (a difference of 2.83 orders of magnitude). Expressing measurements in lumens/sq. cm/steradian requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Lumen/sq. cm/steradian converts to 0.0014641288 watt/sq. cm/srs (at 555 nm). Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

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