Candela Steradians/sq. meter to Centimeter-candles Converter (cd·sr/m² to ph)
cd·sr/m² × 0.0001 = ph
Calculation: 1 cd·sr/m² × 0.0001 = 0.0001 ph
Common Candela steradian/sq. meter to Centimeter-candle Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Candela steradian/sq. meter (cd·sr/m²) and Centimeter-candle (ph).
| Conversion & Equivalent Value | Scientific Notation |
|---|---|
| 0.001 cd·sr/m² 1 × 10⁻⁷ ph | 1 × 10⁻⁷ |
| 0.01 cd·sr/m² 1 × 10⁻⁶ ph | 1 × 10⁻⁶ |
| 0.1 cd·sr/m² 1 × 10⁻⁵ ph | 1 × 10⁻⁵ |
| 0.5 cd·sr/m² 5 × 10⁻⁵ ph | 5 × 10⁻⁵ |
| 1 cd·sr/m² 0.0001 ph | 1 × 10⁻⁴ |
| 2 cd·sr/m² 0.0002 ph | 2 × 10⁻⁴ |
| 5 cd·sr/m² 0.0005 ph | 5 × 10⁻⁴ |
| 10 cd·sr/m² 0.001 ph | 1 × 10⁻³ |
| 20 cd·sr/m² 0.002 ph | 2 × 10⁻³ |
| 25 cd·sr/m² 0.0025 ph | 2.5 × 10⁻³ |
| 50 cd·sr/m² 0.005 ph | 5 × 10⁻³ |
| 100 cd·sr/m² 0.01 ph | 1 × 10⁻² |
| 250 cd·sr/m² 0.025 ph | 2.5 × 10⁻² |
| 500 cd·sr/m² 0.05 ph | 5 × 10⁻² |
| 1000 cd·sr/m² 0.1 ph | 1 × 10⁻¹ |
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 ph 10000 cd·sr/m² | 1 × 10⁴ |
| 5 ph 50000 cd·sr/m² | 5 × 10⁴ |
| 10 ph 100000 cd·sr/m² | 1 × 10⁵ |
| 50 ph 500000 cd·sr/m² | 5 × 10⁵ |
| 100 ph 1000000 cd·sr/m² | 1 × 10⁶ |
Real-World Context & Everyday Benchmarks
Tap to load into converterTo help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Candela steradian/sq. meter (cd·sr/m²) and Centimeter-candle (ph):
Candela steradian/sq. meter References:
- Night sky illumination under clear full moon light 0.25 cd·sr/m²
- Cozy family living room ambient evening indoor illumination 50 cd·sr/m²
- Standard commercial office workspace desk illumination 500 cd·sr/m²
- Precision surgical hospital operating table light level 10000 cd·sr/m²
Centimeter-candle References:
- Night sky illumination under clear full moon light 2.5E-5 ph
- Cozy family living room ambient evening indoor illumination 0.005 ph
- Standard commercial office workspace desk illumination 0.05 ph
- Precision surgical hospital operating table light level 1 ph
How to Convert Candela steradian/sq. meter to Centimeter-candle
Converting Candela steradian/sq. meter (cd·sr/m²) to Centimeter-candle (ph) is a core calculation in Illuminance, which measures the total luminous flux incident and received upon a unit surface area. Both units reside within the International System of Units (SI) and share an identical physical dimension vector ([L⁻² J]), separated strictly by a decimal order-of-magnitude factor (10^-4). Because this shift involves integer powers of 10, the conversion is mathematically exact and free from decimal rounding or irrational fractional loss. Exactly 1 Candela steradian/sq. meter equals 0.0001 Centimeter-candle.
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 (lux (lx)) without arbitrary rounding:
1 cd·sr/m² = 1 lux (lx)1 ph = 10000 lux (lx)V(ph) = V(cd·sr/m²) × ( 1 / 10000 ) = V(cd·sr/m²) × 0.0001Value in Centimeter-candle = Value in Candela steradian/sq. meter × 0.0001Direct computational formula applied for standard conversion.Evaluating an input of 50 Candela steradian/sq. meter (cd·sr/m²) produces 0.005 Centimeter-candle (ph). In heavy-duty utility and industrial workloads, 10000 cd·sr/m² equals 1 ph.
Inverse check: 1 ph = 10000 cd·sr/m².Understanding Candela steradian/sq. meter and Centimeter-candle
Candela steradian/sq. meter
cd·sr/m²A Candela steradian/sq. meter (cd·sr/m²) is a recognized unit for illuminance.
Applications & Practical Context
In practical illumination terms, a night sky illumination under clear full moon light equals 0.25 cd·sr/m², a cozy family living room ambient evening indoor illumination equals 50 cd·sr/m², a standard commercial office workspace desk illumination equals 500 cd·sr/m².
An illuminance of 1 cd·sr/m² corresponds to 1 Candela steradian/sq. meter of uniform luminous flux illuminating a 1-square-meter surface.
1 cd·sr/m² = 1 lxCentimeter-candle
phA Centimeter-candle (ph) is a decimal multiple of the SI-derived unit for illuminance.
Applications & Practical Context
In practical illumination terms, a night sky illumination under clear full moon light equals 2.5 × 10⁻⁵ ph, a cozy family living room ambient evening indoor illumination equals 0.005 ph, a standard commercial office workspace desk illumination equals 0.05 ph.
A physical magnitude of 1 ph corresponds to 10000 lx in standard SI measurement.
1 ph = 10000 lxDomain Metrology & Engineering Applications
Photometric Inverse Square Law (E_v = Φ_v / A)
Rigorously quantified in laboratory and field settings using cosine-corrected silicon photodiode luxmeters, multi-point illuminance grid loggers, and spectral light meters.
Applied across commercial architectural lighting compliance, museum light damage prevention, greenhouse horticultural lighting, and industrial workplace safety under international metrology standard ISO 8995:2002, ISO 80000-7:2019.
Physical Orders of Magnitude & Laboratory Reference Benchmarks
| Physical Phenomenon / Engineering Reference | Reference Value | Converted to Centimeter-candle |
|---|---|---|
| Night sky illumination under clear full moon light | 0.25 lx | 2.5 × 10⁻⁵ ph |
| Cozy family living room ambient evening indoor illumination | 50 lx | 0.005 ph |
| Standard commercial office workspace desk illumination | 500 lx | 0.05 ph |
| Precision surgical hospital operating table light level | 10000 lx | 1 ph |
Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 8995:2002, ISO 80000-7:2019 and the BIPM SI Brochure (9th Edition). Governed by Photometric Inverse Square Law (E_v = Φ_v / A) under ISO 80000 dimensional vector [L⁻² J].
Illuminance to Total Incident Luminous Flux Bridge (Lumens • Millilumens • Kilolumens • MSCP)
Calculate total incident luminous flux Φ = E_v × A captured across work surfaces and architectural envelopes, bridging surface illuminance [L⁻² J] and total luminous flux [J] via surface area (A).
Φ = E_v × A
[lx] × [m²] → [lm]
-
1. Normalize Input to SI Base Unit (lx):
E_v = 1 cd·sr/m² × 1 = 1 lx -
2. Apply Engineering Parameter (A):
Selected condition: Commercial Office Floor (25 m²) at A = 25 m² -
3. Execute Governing Physical Law in SI Units:
Φ = E_v × A = (1 lx) × (25 m²) = 25 lm -
4. Convert to Standard Engineering Units:
• lm: 25 × 1 = 25 lm (Lumens) • mlm: 25 × 1000 = 25000 mlm (Millilumens) • klm: 25 × 0.001 = 0.025 klm (Kilolumens) • MSCP: 25 × 0.07958 = 1.9894 MSCP (Mean Spherical Candlepower) • cp-flux: 25 × 0.07958 = 1.9894 cp-flux (Candlepower Flux) • Mlm: 25 × 1 × 10⁻⁶ = 2.5 × 10⁻⁵ Mlm (Megalumens)
| Engineering Substance / Operating Standard | Parameter Value (m²) | Reference State / Condition | Typical Industrial & Engineering Application |
|---|---|---|---|
| Executive Desk Work Surface (1.5 m²) | 1.5 |
1.5 m² (16 ft²) | Standard office task-plane lighting footprint |
| Commercial Office Floor (25 m²) | 25 |
25.0 m² (269 ft²) | Standard 5m × 5m open office workstation area |
| School Classroom Floor (60 m²) | 60 |
60.0 m² (646 ft²) | Standard academic lecture / study room |
| Industrial Warehouse Bay (500 m²) | 500 |
500.0 m² (5,380 ft²) | Logistics distribution racking corridor |
| FIFA Competition Football Pitch (7,140 m²) | 7140 |
7,140 m² (76,854 ft²) | Stadium tournament playing pitch (105m × 68m) |
Frequently Asked Questions
Related Candela steradian/sq. meter and Centimeter-candle Conversions
Convert Candela steradian/sq. meter to Other Units
Convert Other Units to Centimeter-candle
Physically Coupled Optics & Acoustics Converters
Explore interconnected physical dimension converters within the Optics & Acoustics cluster (ISO 80000-7:2019 / ISO 80000-8:2020).
