Convert Per Degree Celsius to Per Kelvin (°C⁻¹ to K⁻¹)
1 per degree Celsius (°C⁻¹) = 1 per kelvin (K⁻¹). 1 K⁻¹ = 1 °C⁻¹. Example: 15 °C⁻¹ = 15 × 1 = 15 K⁻¹.
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1 °C⁻¹ = 1 K⁻¹
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk per degree Celsius to per kelvin converter to paste a column from Excel.
How to Convert Per Degree Celsius to Per Kelvin
- 1 °C⁻¹ = 1 K⁻¹
- 1 K⁻¹ = 1 °C⁻¹
- Example: convert 15 °C⁻¹ to K⁻¹: 15 °C⁻¹ = 15 × 1 K⁻¹ = 15 K⁻¹
Formula
K⁻¹ = °C⁻¹ × 1
Derivation from SI units:
- 1/°C = 1/K, because a temperature difference of 1 °C equals 1 K
- The SI unit of the coefficient of thermal expansion: relative change in length (m/m) per kelvin
Both units are defined exactly, so the factor is exact. Per Degree Celsius definition: per degree Celsius; Per Kelvin definition: per kelvin.
Worked examples
- A reading of 0.000012 °C⁻¹ converts to 0.000012 K⁻¹.
0.000012 °C⁻¹ × 1 = 0.000012 K⁻¹ - A value of 0.00005 °C⁻¹ is 0.00005 K⁻¹.
0.00005 °C⁻¹ × 1 = 0.00005 K⁻¹
Per Degree Celsius to Per Kelvin conversion table
| Per Degree Celsius (°C⁻¹) | Per Kelvin (K⁻¹) |
|---|---|
| 0.0000005 °C⁻¹ | 5 × 10⁻⁷ K⁻¹ |
| 0.000001 °C⁻¹ | 0.000001 K⁻¹ |
| 0.000009 °C⁻¹ | 0.000009 K⁻¹ |
| 0.000012 °C⁻¹ | 0.000012 K⁻¹ |
| 0.000017 °C⁻¹ | 0.000017 K⁻¹ |
| 0.0000231 °C⁻¹ | 0.0000231 K⁻¹ |
| 0.00005 °C⁻¹ | 0.00005 K⁻¹ |
| 0.0001 °C⁻¹ | 0.0001 K⁻¹ |
| 0.00021 °C⁻¹ | 0.00021 K⁻¹ |
| 0.001 °C⁻¹ | 0.001 K⁻¹ |
Where it's used
Per Degree Celsius are used for engineering handbooks and material tables, while per kelvin appear in linear expansion ΔL = α L ΔT. Both measure coefficient of thermal expansion (α, CTE), so the conversion is a fixed factor.
Per Degree Celsius to other thermal expansion coefficient units
| Conversion | 1 °C⁻¹ equals |
|---|---|
| per degree Celsius to per kelvin | 1 K⁻¹ |
| per degree Celsius to ppm per kelvin | 1000000 ppm/K |
| per degree Celsius to per degree Fahrenheit | 0.5555555556 °F⁻¹ |
| per degree Celsius to ppm per degree Fahrenheit | 555555.5556 ppm/°F |
Frequently asked questions
How many per kelvin are in 1 per degree Celsius?
1 °C⁻¹ = 1 K⁻¹.
How do I convert per degree Celsius to per kelvin?
Multiply the value in °C⁻¹ by 1. For example, 15 °C⁻¹ × 1 = 15 K⁻¹.
Is the °C⁻¹ to K⁻¹ conversion exact?
Yes. Both units are defined exactly, and 1 °C⁻¹ is exactly 1 K⁻¹.
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4, degree Celsius.
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Per Degree Celsius to Per Kelvin (°C⁻¹ to K⁻¹). Retrieved October 25, 2026, from https://scientificconverters.com/thermal-expansion/per-degree-celsius-to-per-kelvin/
IEEE
Scientific Converters, "Convert Per Degree Celsius to Per Kelvin (°C⁻¹ to K⁻¹)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/thermal-expansion/per-degree-celsius-to-per-kelvin/