Skip to main content
0 results ↑ ↓ navigate, ↵ select

Candelas/square inch to Lumens/sq. cm/steradian Converter (cd/in² to lm/(cm²·sr))

Rate this converter 0 of 0 ratings
Instant calculation with 0ms overhead
Popular Converters
Live Conversion • ISO 80000-7:2019 Certified
1 Candela/square inch = 0.15500031 Lumen/sq. cm/steradian
1 cd/in² = 0.155 lm/(cm²·sr) • 1 lm/(cm²·sr) = 6.4516 cd/in²
Candela/square inch to Lumen/sq. cm/steradian: One Candela/square inch is equal to 0.15500031 Lumens/sq. cm/steradian.
Certified Authority Value
0.15500031
lm/(cm²·sr)
Exact: 1 lm/(cm²·sr) ≡ 6.4516 cd/in²
cd/in²
cd/in²
Swap to Lumen/sq. cm/steradian to Candela/square inch
Swap to Lumen/sq. cm/steradian to Candela/square inch
lm/(cm²·sr)
lm/(cm²·sr) 0.15500031
Quick Values:
Conversion Formula
To convert Candela/square inch to Lumen/sq. cm/steradian, multiply by 0.15500031
cd/in² × 0.15500031 = lm/(cm²·sr)

Calculation: 1 cd/in² × 0.15500031 = 0.15500031 lm/(cm²·sr)

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

Quick-lookup reference table showing calculated equivalents for standard increments between Candela/square inch (cd/in²) and Lumen/sq. cm/steradian (lm/(cm²·sr)).

Tap any row to calculate
Candela/square inch to Lumen/sq. cm/steradian: Primary Direct Table (15 Steps)
Candela/square inch to Lumen/sq. cm/steradian Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cd/in² 0.000155 lm/(cm²·sr) 1.55 × 10⁻⁴
0.01 cd/in² 0.00155 lm/(cm²·sr) 1.55 × 10⁻³
0.1 cd/in² 0.0155 lm/(cm²·sr) 1.55 × 10⁻²
0.5 cd/in² 0.0775002 lm/(cm²·sr) 7.75 × 10⁻²
1 cd/in² 0.155 lm/(cm²·sr) 1.55 × 10⁻¹
2 cd/in² 0.310001 lm/(cm²·sr) 3.1 × 10⁻¹
5 cd/in² 0.775002 lm/(cm²·sr) 7.75 × 10⁻¹
10 cd/in² 1.550003 lm/(cm²·sr) 1.55 × 10⁰
20 cd/in² 3.100006 lm/(cm²·sr) 3.1 × 10⁰
25 cd/in² 3.875008 lm/(cm²·sr) 3.875 × 10⁰
50 cd/in² 7.750016 lm/(cm²·sr) 7.75 × 10⁰
100 cd/in² 15.500031 lm/(cm²·sr) 1.55 × 10¹
250 cd/in² 38.750078 lm/(cm²·sr) 3.875 × 10¹
500 cd/in² 77.500155 lm/(cm²·sr) 7.75 × 10¹
1000 cd/in² 155.00031 lm/(cm²·sr) 1.55 × 10²
Lumen/sq. cm/steradian to Candela/square inch: Reciprocal Summary
Lumen/sq. cm/steradian to Candela/square inch Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 lm/(cm²·sr) 6.4516 cd/in² 6.452 × 10⁰
5 lm/(cm²·sr) 32.258 cd/in² 3.226 × 10¹
10 lm/(cm²·sr) 64.516 cd/in² 6.452 × 10¹
50 lm/(cm²·sr) 322.58 cd/in² 3.226 × 10²
100 lm/(cm²·sr) 645.16 cd/in² 6.452 × 10²
View Complete 15-Row Lumen/sq. cm/steradian to Candela/square inch Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

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. cm/steradian (lm/(cm²·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. 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 Candela/square inch to Lumen/sq. cm/steradian

Converting Candela/square inch (cd/in²) 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. 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 0.155 Lumen/sq. cm/steradian, while 1 lm/(cm²·sr) equals 6.4516 cd/in².

Direct Factor1 cd/in² = 0.155 lm/(cm²·sr)
Inverse Ratio1 lm/(cm²·sr) = 6.4516 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/(cm²·sr) = 10000 candela per square meter (cd/m²)
Step-by-step substitution for Candela/square inch → Lumen/sq. cm/steradian:V(lm/(cm²·sr)) = V(cd/in²) × ( 1550.0031 / 10000 ) = V(cd/in²) × 0.155
Mathematical FormulaValue in Lumen/sq. cm/steradian = Value in Candela/square inch × 0.15500031Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 8 cd/in², applying the conversion factor yields exactly 1.240002 lm/(cm²·sr). At larger operational scale, 240 Candela/square inch corresponds to 37.200074 lm/(cm²·sr).

Inverse check: 1 lm/(cm²·sr) = 6.4516 cd/in².

Understanding Candela/square inch and Lumen/sq. cm/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. 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/m²7.750016 lm/(cm²·sr)
Standard indoor office computer desktop monitor peak brightness300 cd/m²46.500093 lm/(cm²·sr)
High-end smartphone HDR screen peak outdoor sunlight brightness1500 cd/m²232.500465 lm/(cm²·sr)
Clear blue daytime sky zenith ambient luminance5000 cd/m²775.00155 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 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
Embed
Need this Candela/square inch to Lumen/sq. cm/steradian calculator on your website, lab portal, or research blog?
Free HTML Widget 100% Responsive Zero Cookie Tracking
Notice a calculation discrepancy, rounding error, or glitch?
Help us maintain 100% scientific precision and report any issues directly to engineering.

Frequently Asked Questions

There are exactly 0.15500031 lumens/sq. cm/steradian (lm/(cm²·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 0.15500031.

The mathematical formula to convert candelas/square inch to lumens/sq. cm/steradian is: [value] * 0.15500031 = 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 candelas/square inch, you must divide your starting value by 0.15500031. Our bidirectional tool automatically computes this inverse equation the moment you type into the lumen/sq. cm/steradian input field.

1 Lumen/sq. cm/steradian is larger than 1 Candela/square inch. Specifically, 1 Candela/square inch equals 0.15500031 lumens/sq. cm/steradian, meaning 1 Lumen/sq. cm/steradian is 6.4516 times larger than 1 Candela/square inch (a difference of 0.81 orders of magnitude). Expressing measurements in candelas/square inch requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Candela/square inch converts to 0.15500031 lumens/sq. cm/steradian. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

Physically Coupled Optics & Acoustics Converters

Explore interconnected physical dimension converters within the Optics & Acoustics cluster (ISO 80000-7:2019 / ISO 80000-8:2020).

View Hub
Frequency Dimensional Hub & Tools
Sound Dimensional Hub & Tools
Luminous Intensity Dimensional Hub & Tools
Illumination Dimensional Hub & Tools
Digital Image Resolution Dimensional Hub & Tools