Convert luminance units, calculate LED performance, and analyze lighting specifications with precision and ease
Luminance Unit Converter
Batch Luminance Conversion
Convert multiple values at once. Enter one value per line:
Batch Results:
Input
Output
Formula
LED Performance Calculator
Convert between luminous intensity (candela) and luminous flux (lumen) for individual LEDs
Batch LED Conversion
Process multiple LED values with the same beam angle:
LED Batch Results:
Input
Output
Beam Angle
Formula
Luminance Unit Converter
Batch Luminance Conversion
Convert multiple values at once. Enter one value per line:
Batch Results:
Input
Output
Formula
LED Performance Calculator
Convert between luminous intensity (candela) and luminous flux (lumen) for individual LEDs
Batch LED Conversion
Process multiple LED values with the same beam angle:
LED Batch Results:
Input
Output
Beam Angle
Formula
How to Use This Professional Lighting Calculator Suite
Our comprehensive lighting calculator combines luminance conversion and LED performance analysis in one professional platform. Whether you're calibrating displays, designing LED systems, or analyzing lighting specifications, our dual-calculator system provides the tools you need:
Luminance Converter Tab
Select your input unit from 11 professional luminance units including cd/m², nit, foot-lambert, stilb, and specialized units for different applications.
Enter the numerical value with automatic real-time conversion and visual brightness scale showing where your measurement falls from starlight to bright sunlight.
Choose your target unit with instant results, formula explanation, and automatic safety warnings for potentially harmful brightness levels.
Use batch processing for converting multiple values simultaneously - perfect for calibration data or research applications.
LED Performance Calculator Tab
Enter LED specifications including intensity (candela/millicandela) or output (lumen) values with beam angle in degrees.
Select conversion direction between candela, millicandela, and lumen with automatic solid angle calculations.
View beam visualization showing light distribution pattern and LED performance categorization (indicator vs. high-power).
Process LED arrays using batch conversion for multiple LEDs with consistent beam angles.
Understanding Light Measurement Units
Professional lighting involves multiple measurement systems depending on the application:
Luminance Units (Surface Brightness)
Unit
Symbol
Conversion to cd/m²
Common Use
Candela per square meter
cd/m²
1.0000
SI standard unit
Nit
nt
1.0000
Display technology
Foot-lambert
fL
3.4263
US cinema industry
Stilb
sb
10,000
CGS system
Lambert
L
3,183.1
Older photometry
Apostilb
asb
0.3183
European standard
Candela per square centimeter
cd/cm²
10,000
Small area measurements
Candela per square foot
cd/ft²
10.764
US lighting industry
Candela per square inch
cd/in²
1,550
Small displays
Kilocandela per square meter
kcd/m²
1,000
High-brightness applications
Millinit
mnt
0.001
Very dim displays
LED Performance Units
LED calculations require understanding the relationship between intensity and total output:
Candela (cd): Luminous intensity - light emitted in a specific direction
Millicandela (mcd): 1/1000 candela - common for indicator LEDs
Lumen (lm): Total luminous flux - total light output in all directions
Beam Angle: Angular width where intensity drops to 50% of maximum
Calculation Methodology & Scientific Basis
Luminance Conversion Formulas
Our luminance converter uses scientifically established conversion factors based on the International System of Units (SI). The base unit for luminance is the candela per square meter (cd/m²), which is defined by the International Bureau of Weights and Measures (BIPM).
The conversion formulas used in our calculator are:
Candela per square meter to Nit: 1 cd/m² = 1 nit (exact equivalence)
LED conversions between candela and lumen require beam angle considerations using solid angle mathematics:
Core Formula: Φ = I × Ω
Φ (Phi): Luminous flux in lumens
I: Luminous intensity in candela
Ω (Omega): Solid angle in steradians
Solid Angle Calculation: Ω = 2π(1 - cos(θ/2))
θ (Theta): Beam angle in radians
Conversion: Radians = Degrees × (π/180)
Source of Standards
These conversion factors are derived from internationally recognized standards established by the Commission Internationale de l'Éclairage (CIE) and the International Bureau of Weights and Measures. The relationships between these units are mathematically exact, ensuring consistent and accurate conversions across all applications.
Precision and Accuracy
Our calculator uses conversion factors with four decimal places of precision, which exceeds the accuracy requirements for most practical applications in display technology, lighting design, and photometric measurements. The batch conversion feature maintains this precision across multiple values simultaneously, making it suitable for professional calibration workflows and research applications.
Our enhanced safety warning system automatically alerts users to potentially harmful luminance levels (>10,000 cd/m²), while the visual brightness scale provides immediate context by showing where any measurement falls on the spectrum from starlight to bright sunlight.
Why You Can Trust This Guide
This converter is based on internationally recognized standards and established scientific principles. All conversion factors have been verified against multiple authoritative sources, including CIE standards and NIST guidelines. The calculations use established mathematical relationships that have been validated in scientific literature and are widely accepted in the photometry field.
Real-World Applications
Understanding both luminance and LED performance is crucial across multiple industries. Display engineers use luminance measurements (cd/m²) for screen calibration while also needing LED backlight specifications (candela/lumen). Lighting designers work with surface brightness for architectural applications and individual LED performance for fixture design. The cinema industry uses foot-lamberts for screen brightness while LED cinema projectors require candela-lumen calculations for lamp specifications.
Our unified calculator suite eliminates the need for multiple tools, providing professional-grade accuracy with beginner-friendly explanations and advanced batch processing capabilities for efficiency in professional workflows.
Frequently Asked Questions
What is the difference between luminance and LED performance calculations?
Luminance measures the brightness of surfaces (like displays, screens, or illuminated panels) in units like cd/m² or nits. LED performance calculations deal with individual LED characteristics, converting between luminous intensity (candela) and total light output (lumen) using beam angle considerations. Our calculator suite handles both applications.
How do you convert candela to lumen for LEDs?
The conversion uses the formula: Lumens = Candela × Solid Angle, where the solid angle depends on the LED's beam angle. The solid angle formula is 2π(1 - cos(beam_angle/2)). Our LED calculator automatically handles this complex calculation when you input the beam angle in degrees.
What is luminance and why is it important?
Luminance measures the luminous intensity per unit area of light traveling in a given direction. It's crucial for display calibration, lighting design, vision research, and ensuring proper illumination levels in various environments. Unlike illuminance, which measures light falling on a surface, luminance measures light emitted or reflected from a surface toward the observer.
What's the difference between candela per square meter and nit?
Candela per square meter (cd/m²) and nit are exactly the same unit. "Nit" is simply a more convenient name for cd/m² commonly used in display technology and consumer electronics. The term "nit" comes from the Latin word "nitere," meaning "to shine."
Why is beam angle important for LED calculations?
Beam angle determines how the LED's light is distributed in space. A narrow beam concentrates light in a small area (higher intensity per direction), while a wide beam spreads light over a larger area (lower intensity per direction but same total output). This affects the candela-to-lumen conversion ratio significantly.
Why do cinemas use foot-lamberts instead of cd/m²?
The cinema industry, particularly in the United States, has historically used foot-lamberts (fL) as the standard unit for screen luminance measurement. This tradition dates back to early film projection standards. Cinema screens are typically calibrated to 14 fL, which equals approximately 48 cd/m².
What's the difference between millicandela and candela?
Millicandela (mcd) is 1/1000th of a candela (cd). Many LEDs, especially indicator LEDs, are rated in millicandela because their intensity is relatively low. High-power LEDs for lighting applications are typically rated in candela. Our calculator handles both units seamlessly.
How accurate are the conversion factors used in this calculator?
Our conversion factors are based on internationally recognized standards and are accurate to four decimal places. For LED calculations, we use the exact mathematical relationship between solid angles and beam angles. This precision level is sufficient for most practical applications in both display technology and LED design.
What luminance level is considered safe for human vision?
Safe luminance levels depend on viewing duration and conditions. For prolonged computer use, monitors should typically be set between 100-200 cd/m². Direct viewing of sources above 10,000 cd/m² can cause discomfort or eye damage. Always follow manufacturer guidelines and occupational safety standards for your specific application.
Can I use this calculator for HDR displays and high-performance LEDs?
Yes, our calculator suite handles HDR (High Dynamic Range) displays and high-performance LEDs. HDR displays can produce luminance levels from 0.01 to 10,000 cd/m² or higher, while high-power LEDs can exceed 1000 candela. The converter handles these wide ranges accurately, with automatic performance categorization and safety warnings.
What's the relationship between luminance and brightness perception?
Luminance is an objective physical measurement, while brightness is subjective human perception. The relationship is non-linear due to how human vision adapts to different light levels. Doubling the luminance doesn't necessarily double the perceived brightness. Understanding this distinction is important when designing displays and lighting systems.
Important Disclaimer & Usage Guidelines
🎯 Accuracy & Standards
All conversion calculations are based on internationally recognized standards (CIE, BIPM, NIST) and are accurate to four decimal places for most practical applications. However, we make no warranties regarding absolute accuracy for all use cases.
🔧 Professional Use
While our calculator is designed for professional use, it should supplement, not replace, professional engineering judgment. For critical applications, please verify results with certified measurement equipment and consult qualified professionals.
⚠️ Safety Considerations
Safety warnings are provided as general guidance. Actual safety requirements depend on specific applications, viewing conditions, and regulatory standards. Always follow applicable safety regulations and manufacturer guidelines.
🔒 Data Privacy
All calculations are performed entirely in your browser (client-side). No input data, results, or personal information is collected, stored, or transmitted to our servers, ensuring complete privacy of your calculations.
📚 Educational Purpose
This tool is provided for educational and informational purposes. While we strive for accuracy, users should verify critical calculations independently. The calculator should not be the sole basis for decisions in professional or safety-critical applications.
🔄 Continuous Improvement
We regularly update our calculator based on user feedback and evolving standards. If you notice any discrepancies or have suggestions for improvement, please contact us through our feedback channels.