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Candelas/square inch to Lumens/sq. meter/steradian Converter (cd/in² to lm/(m²·sr))

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Live Conversion • ISO 80000-7:2019 Certified
1 Candela/square inch = 1550.0031 Lumen/sq. meter/steradian
1 cd/in² = 1550.0031 lm/(m²·sr) • 1 lm/(m²·sr) = 0.00064516 cd/in²
Candela/square inch to Lumen/sq. meter/steradian: One Candela/square inch is equal to 1550.0031 Lumens/sq. meter/steradian.
Certified Authority Value
1550.00310000
lm/(m²·sr)
Exact: 1 lm/(m²·sr) ≡ 0.00064516 cd/in²
cd/in²
cd/in²
Swap to Lumen/sq. meter/steradian to Candela/square inch
Swap to Lumen/sq. meter/steradian to Candela/square inch
lm/(m²·sr)
lm/(m²·sr) 1550.0031
Quick Values:
Conversion Formula
To convert Candela/square inch to Lumen/sq. meter/steradian, multiply by 1550.0031
cd/in² × 1550.0031 = lm/(m²·sr)

Calculation: 1 cd/in² × 1550.0031 = 1550.0031 lm/(m²·sr)

Common Candela/square inch to Lumen/sq. meter/steradian Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Candela/square inch (cd/in²) and Lumen/sq. meter/steradian (lm/(m²·sr)).

Tap any row to calculate
Candela/square inch to Lumen/sq. meter/steradian: Primary Direct Table (15 Steps)
Candela/square inch to Lumen/sq. meter/steradian Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cd/in² 1.550003 lm/(m²·sr) 1.55 × 10⁰
0.01 cd/in² 15.500031 lm/(m²·sr) 1.55 × 10¹
0.1 cd/in² 155.00031 lm/(m²·sr) 1.55 × 10²
0.5 cd/in² 775.00155 lm/(m²·sr) 7.75 × 10²
1 cd/in² 1550.0031 lm/(m²·sr) 1.55 × 10³
2 cd/in² 3100.0062 lm/(m²·sr) 3.1 × 10³
5 cd/in² 7750.0155 lm/(m²·sr) 7.75 × 10³
10 cd/in² 15500.031 lm/(m²·sr) 1.55 × 10⁴
20 cd/in² 31000.062 lm/(m²·sr) 3.1 × 10⁴
25 cd/in² 38750.0775 lm/(m²·sr) 3.875 × 10⁴
50 cd/in² 77500.155 lm/(m²·sr) 7.75 × 10⁴
100 cd/in² 155000.31 lm/(m²·sr) 1.55 × 10⁵
250 cd/in² 387500.775 lm/(m²·sr) 3.875 × 10⁵
500 cd/in² 775001.55 lm/(m²·sr) 7.75 × 10⁵
1000 cd/in² 1550003.1 lm/(m²·sr) 1.55 × 10⁶
Lumen/sq. meter/steradian to Candela/square inch: Reciprocal Summary
Lumen/sq. meter/steradian to Candela/square inch Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 lm/(m²·sr) 0.00064516 cd/in² 6.452 × 10⁻⁴
5 lm/(m²·sr) 0.0032258 cd/in² 3.226 × 10⁻³
10 lm/(m²·sr) 0.0064516 cd/in² 6.452 × 10⁻³
50 lm/(m²·sr) 0.032258 cd/in² 3.226 × 10⁻²
100 lm/(m²·sr) 0.064516 cd/in² 6.452 × 10⁻²
View Complete 15-Row Lumen/sq. meter/steradian to Candela/square inch 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 Candela/square inch (cd/in²) and Lumen/sq. meter/steradian (lm/(m²·sr)):

Candela/square inch References:

  • Commercial cinema movie theater projection screen brightness 0.032258 cd/in²
  • Standard indoor office computer desktop monitor peak brightness 0.193548 cd/in²
  • High-end smartphone HDR screen peak outdoor sunlight brightness 0.96774 cd/in²
  • Clear blue daytime sky zenith ambient luminance 3.2258 cd/in²

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)

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

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

How to Convert Candela/square inch to Lumen/sq. meter/steradian

Converting Candela/square inch (cd/in²) to Lumen/sq. meter/steradian (lm/(m²·sr)) is a core calculation in Luminance, which measures the photometric luminous intensity emitted or reflected per unit area in a given direction. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 Candela/square inch equals 1550.0031 Lumen/sq. meter/steradian, while 1 lm/(m²·sr) equals 0.00064516 cd/in².

Direct Factor1 cd/in² = 1550.0031 lm/(m²·sr)
Inverse Ratio1 lm/(m²·sr) = 0.00064516 cd/in²
Conversion ScaleMetric SI to British Imperial / US Customary Bridge
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 cd/in² = 1550.0031 candela per square meter (cd/m²)
2. Target SI Bridge (ktarget):1 lm/(m²·sr) = 1 candela per square meter (cd/m²)
Step-by-step substitution for Candela/square inch → Lumen/sq. meter/steradian:V(lm/(m²·sr)) = V(cd/in²) × ( 1550.0031 / 1 ) = V(cd/in²) × 1550.0031
Mathematical FormulaValue in Lumen/sq. meter/steradian = Value in Candela/square inch × 1550.0031Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 75 cd/in², applying the conversion factor yields exactly 116250.2325 lm/(m²·sr). At larger operational scale, 2500 Candela/square inch corresponds to 3875007.75 lm/(m²·sr).

Inverse check: 1 lm/(m²·sr) = 0.00064516 cd/in².

Understanding Candela/square inch and Lumen/sq. meter/steradian

Candela/square inch

cd/in²
Imperial / US

A Candela/square inch (cd/in²) is an imperial and US customary unit for luminance.

Applications & Practical Context

In practical luminance terms, a commercial cinema movie theater projection screen brightness equals 0.032258 cd/in², a standard indoor office computer desktop monitor peak brightness equals 0.193548 cd/in², a high-end smartphone HDR screen peak outdoor sunlight brightness equals 0.96774 cd/in².

Physical Setup

A physical magnitude of 1 cd/in² corresponds to 1550.0031 cd/m² in standard SI measurement.

Conversion to SI Unit: candela per square meter (cd/m²)
1 cd/in² = 1550.0031 cd/m²

Lumen/sq. meter/steradian

lm/(m²·sr)
Standard Unit

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).

Physical Setup

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.

Conversion to SI Unit: candela per square meter (cd/m²)
1 lm/(m²·sr) = 1 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. meter/steradian
Commercial cinema movie theater projection screen brightness50 cd/m²77500.155 lm/(m²·sr)
Standard indoor office computer desktop monitor peak brightness300 cd/m²465000.93 lm/(m²·sr)
High-end smartphone HDR screen peak outdoor sunlight brightness1500 cd/m²2325004.65 lm/(m²·sr)
Clear blue daytime sky zenith ambient luminance5000 cd/m²7750015.5 lm/(m²·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 cd/in² at 15.6" Laptop Display (0.067 m²) = 103.8502 cd
Equals 105.9272 cp • 114.9622 HK • 10.8212 carcel
SI Luminous Intensity
103.8502
cd
Candela
Historical English
105.9272
cp
Candlepower
German Standard
114.9622
HK
Hefnerkerze
French Standard
10.8212
carcel
Carcel Unit
Indicator LED
103850.21
mcd
Millicandela
Lighthouse Beacon
0.1039
kcd
Kilocandela
  1. 1. Normalize Input to SI Base Unit (cd/m²):
    L_v = 1 cd/in² × 1550.0031 = 1550.0031 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 = (1550.0031 cd/m²) × (0.067 m²) = 103.850208 cd
  4. 4. Convert to Standard Engineering Units:
    • cd: 103.850208 × 1 = 103.8502 cd (Candela) • cp: 103.850208 × 1.02 = 105.9272 cp (Candlepower) • HK: 103.850208 × 1.107 = 114.9622 HK (Hefnerkerze) • carcel: 103.850208 × 0.1042 = 10.8212 carcel (Carcel Unit) • mcd: 103.850208 × 1000 = 103850.21 mcd (Millicandela) • kcd: 103.850208 × 0.001 = 0.1039 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 1550.0031 lumens/sq. meter/steradian (lm/(m²·sr)) in 1 candela/square inch (cd/in²). To calculate larger amounts manually, simply multiply your total number of candelas/square inch by the conversion multiplier of 1550.0031.

The mathematical formula to convert candelas/square inch to lumens/sq. meter/steradian is: [value] * 1550.0031 = lumens/sq. meter/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. meter/steradian back to candelas/square inch, you must divide your starting value by 1550.0031. Our bidirectional tool automatically computes this inverse equation the moment you type into the lumen/sq. meter/steradian input field.

1 Candela/square inch is larger than 1 Lumen/sq. meter/steradian. Specifically, 1 Candela/square inch equals exactly 1550.0031 lumens/sq. meter/steradian, making it 1550.0031 times larger (a difference of 3.19 orders of magnitude). Therefore, quantities expressed in lumens/sq. meter/steradian require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Candela/square inch converts to 1550.0031 lumens/sq. meter/steradian. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

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