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

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Live Conversion • ISO 80000-7:2019 Certified
1 Watt/sq. cm/sr (at 555 nm) = 683 Lumen/sq. cm/steradian
1 W/(cm²·sr) @555nm = 683 lm/(cm²·sr) • 1 lm/(cm²·sr) = 0.00146413 W/(cm²·sr) @555nm
Watt/sq. cm/sr (at 555 nm) to Lumen/sq. cm/steradian: One Watt/sq. cm/sr (at 555 nm) is equal to 683 Lumens/sq. cm/steradian.
Certified Authority Value
683.00000000
lm/(cm²·sr)
Exact: 1 lm/(cm²·sr) ≡ 0.001464128843 W/(cm²·sr) @555nm
W/(cm²·sr) @555nm
W/(cm²·sr) @555nm
Swap to Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm)
Swap to Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm)
lm/(cm²·sr)
lm/(cm²·sr) 683
Quick Values:
Conversion Formula
To convert Watt/sq. cm/sr (at 555 nm) to Lumen/sq. cm/steradian, multiply by 683
W/(cm²·sr) @555nm × 683 = lm/(cm²·sr)

Calculation: 1 W/(cm²·sr) @555nm × 683 = 683 lm/(cm²·sr)

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

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

Tap any row to calculate
Watt/sq. cm/sr (at 555 nm) to Lumen/sq. cm/steradian: Primary Direct Table (15 Steps)
Watt/sq. cm/sr (at 555 nm) to Lumen/sq. cm/steradian Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 W/(cm²·sr) @555nm 0.683 lm/(cm²·sr) 6.83 × 10⁻¹
0.01 W/(cm²·sr) @555nm 6.83 lm/(cm²·sr) 6.83 × 10⁰
0.1 W/(cm²·sr) @555nm 68.3 lm/(cm²·sr) 6.83 × 10¹
0.5 W/(cm²·sr) @555nm 341.5 lm/(cm²·sr) 3.415 × 10²
1 W/(cm²·sr) @555nm 683 lm/(cm²·sr) 6.83 × 10²
2 W/(cm²·sr) @555nm 1366 lm/(cm²·sr) 1.366 × 10³
5 W/(cm²·sr) @555nm 3415 lm/(cm²·sr) 3.415 × 10³
10 W/(cm²·sr) @555nm 6830 lm/(cm²·sr) 6.83 × 10³
20 W/(cm²·sr) @555nm 13660 lm/(cm²·sr) 1.366 × 10⁴
25 W/(cm²·sr) @555nm 17075 lm/(cm²·sr) 1.708 × 10⁴
50 W/(cm²·sr) @555nm 34150 lm/(cm²·sr) 3.415 × 10⁴
100 W/(cm²·sr) @555nm 68300 lm/(cm²·sr) 6.83 × 10⁴
250 W/(cm²·sr) @555nm 170750 lm/(cm²·sr) 1.708 × 10⁵
500 W/(cm²·sr) @555nm 341500 lm/(cm²·sr) 3.415 × 10⁵
1000 W/(cm²·sr) @555nm 683000 lm/(cm²·sr) 6.83 × 10⁵
Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm): Reciprocal Summary
Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm) Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 lm/(cm²·sr) 0.00146413 W/(cm²·sr) @555nm 1.464 × 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
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
View Complete 15-Row Lumen/sq. cm/steradian to Watt/sq. cm/sr (at 555 nm) 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 Watt/sq. cm/sr (at 555 nm) (W/(cm²·sr) @555nm) and Lumen/sq. cm/steradian (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

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)

Tap any benchmark above to automatically calculate its exact equivalent in Lumen/sq. cm/steradian.

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

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

Converting Watt/sq. cm/sr (at 555 nm) (W/(cm²·sr) @555nm) 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. Because Watt/sq. cm/sr (at 555 nm) represents a larger magnitude than Lumen/sq. cm/steradian, converting from W/(cm²·sr) @555nm to lm/(cm²·sr) expands the numerical figure. Exactly 1 Watt/sq. cm/sr (at 555 nm) encompasses 683 Lumen/sq. cm/steradian. To convert any quantity, multiply the value in Watt/sq. cm/sr (at 555 nm) by 683.

Direct Factor1 W/(cm²·sr) @555nm = 683 lm/(cm²·sr)
Inverse Ratio1 lm/(cm²·sr) = 0.00146413 W/(cm²·sr) @555nm
Conversion ScaleDirect Proportional Magnitude Expansion
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 W/(cm²·sr) @555nm = 6830000 candela per square meter (cd/m²)
2. Target SI Bridge (ktarget):1 lm/(cm²·sr) = 10000 candela per square meter (cd/m²)
Step-by-step substitution for Watt/sq. cm/sr (at 555 nm) → Lumen/sq. cm/steradian:V(lm/(cm²·sr)) = V(W/(cm²·sr) @555nm) × ( 6830000 / 10000 ) = V(W/(cm²·sr) @555nm) × 683
Mathematical FormulaValue in Lumen/sq. cm/steradian = Value in Watt/sq. cm/sr (at 555 nm) × 683Direct computational formula applied for standard conversion.
Worked Example

To convert 2.5 Watt/sq. cm/sr (at 555 nm) (W/(cm²·sr) @555nm) to Lumen/sq. cm/steradian (lm/(cm²·sr)): multiply 2.5 by 683 to get 1707.5 lm/(cm²·sr). At an industrial engineering scale, 2500 W/(cm²·sr) @555nm converts to 1707500 lm/(cm²·sr).

Inverse check: 1 lm/(cm²·sr) = 0.00146413 W/(cm²·sr) @555nm.

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

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

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

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 Lumen/sq. cm/steradian
Commercial cinema movie theater projection screen brightness50 cd/m²34150 lm/(cm²·sr)
Standard indoor office computer desktop monitor peak brightness300 cd/m²204900 lm/(cm²·sr)
High-end smartphone HDR screen peak outdoor sunlight brightness1500 cd/m²1024500 lm/(cm²·sr)
Clear blue daytime sky zenith ambient luminance5000 cd/m²3415000 lm/(cm²·sr)
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 W/(cm²·sr) @555nm at 15.6" Laptop Display (0.067 m²) = 457610 cd
Equals 466762.2 cp • 506574.27 HK • 47682.962 carcel
SI Luminous Intensity
457610
cd
Candela
Historical English
466762.2
cp
Candlepower
German Standard
506574.27
HK
Hefnerkerze
French Standard
47682.962
carcel
Carcel Unit
Indicator LED
4.58 × 10⁸
mcd
Millicandela
Lighthouse Beacon
457.61
kcd
Kilocandela
  1. 1. Normalize Input to SI Base Unit (cd/m²):
    L_v = 1 W/(cm²·sr) @555nm × 6830000 = 6830000 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 = (6830000 cd/m²) × (0.067 m²) = 457610 cd
  4. 4. Convert to Standard Engineering Units:
    • cd: 457610 × 1 = 457610 cd (Candela) • cp: 457610 × 1.02 = 466762.2 cp (Candlepower) • HK: 457610 × 1.107 = 506574.27 HK (Hefnerkerze) • carcel: 457610 × 0.1042 = 47682.962 carcel (Carcel Unit) • mcd: 457610 × 1000 = 4.58 × 10⁸ mcd (Millicandela) • kcd: 457610 × 0.001 = 457.61 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 683 lumens/sq. cm/steradian (lm/(cm²·sr)) in 1 watt/sq. cm/sr (at 555 nm) (W/(cm²·sr) @555nm). To calculate larger amounts manually, simply multiply your total number of watt/sq. cm/srs (at 555 nm) by the conversion multiplier of 683.

The mathematical formula to convert watt/sq. cm/srs (at 555 nm) to lumens/sq. cm/steradian is: [value] * 683 = lumens/sq. cm/steradian. 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 lumens/sq. cm/steradian back to watt/sq. cm/srs (at 555 nm), you must divide your starting value by 683. Our bidirectional tool automatically computes this inverse equation the moment you type into the lumen/sq. cm/steradian input field.

1 Watt/sq. cm/sr (at 555 nm) is larger than 1 Lumen/sq. cm/steradian. Specifically, 1 Watt/sq. cm/sr (at 555 nm) equals exactly 683 lumens/sq. cm/steradian, making it 683 times larger (a difference of 2.83 orders of magnitude). Therefore, quantities expressed in lumens/sq. cm/steradian require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Watt/sq. cm/sr (at 555 nm) converts to 683 lumens/sq. cm/steradian. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

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