Per Degree Celsius to Per Degree Fahrenheit (°C⁻¹ to °F⁻¹)
1 per degree Celsius (°C⁻¹) = 0.5555555556 per degree Fahrenheit (°F⁻¹). 1 °F⁻¹ = 1.8 °C⁻¹. Example: 15 °C⁻¹ = 15 × 0.5555555556 = 8.333333333 °F⁻¹.
Also searched as per degree Celsius to °F⁻¹, per degree Celsius in °F⁻¹, per degree Celsius into per degree Fahrenheit, °C⁻¹ to °F⁻¹, °C⁻¹ in per degree Fahrenheit, °C⁻¹ into per degree Fahrenheit, per degree Celsius to per degree Fahrenheit, °C⁻¹ to per degree Fahrenheit converter and how many per degree Fahrenheit in a per degree Celsius.
1 °C⁻¹ = 0.5555555556 °F⁻¹
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk per degree Celsius to per degree Fahrenheit converter to paste a column from Excel.
How to Convert Per Degree Celsius to Per Degree Fahrenheit
- 1 °C⁻¹ = 0.5555555556 °F⁻¹
- 1 °F⁻¹ = 1.8 °C⁻¹
- Example: convert 15 °C⁻¹ to °F⁻¹: 15 °C⁻¹ = 15 × 0.5555555556 °F⁻¹ = 8.333333333 °F⁻¹
Formula
°F⁻¹ = °C⁻¹ × 0.5555555555556
or °F⁻¹ = °C⁻¹ ÷ 1.8
Derivation from SI units:
- 1/°C = 1/K, because a temperature difference of 1 °C equals 1 K
- A Fahrenheit degree is 5/9 of a kelvin, so 1/°F = 1.8/K (exact)
- 1 °C⁻¹ = 1 K⁻¹ ÷ 1.8 K⁻¹ per °F⁻¹ = 0.5555555555556 °F⁻¹
Both units are defined exactly, so the factor is exact. Per Degree Celsius definition: per degree Celsius; Per Degree Fahrenheit definition: per degree Fahrenheit.
Worked examples
- A reading of 0.000012 °C⁻¹ converts to 0.000006666666667 °F⁻¹.
0.000012 °C⁻¹ × 0.5555555556 = 0.000006666666667 °F⁻¹ - A value of 0.00005 °C⁻¹ is 0.00002777777778 °F⁻¹.
0.00005 °C⁻¹ × 0.5555555556 = 0.00002777777778 °F⁻¹
Per Degree Celsius to Per Degree Fahrenheit conversion table
| Per Degree Celsius (°C⁻¹) | Per Degree Fahrenheit (°F⁻¹) |
|---|---|
| 0.0000005 °C⁻¹ | 2.777777778 × 10⁻⁷ °F⁻¹ |
| 0.000001 °C⁻¹ | 5.555555556 × 10⁻⁷ °F⁻¹ |
| 0.000009 °C⁻¹ | 0.000005 °F⁻¹ |
| 0.000012 °C⁻¹ | 0.000006666666667 °F⁻¹ |
| 0.000017 °C⁻¹ | 0.000009444444444 °F⁻¹ |
| 0.0000231 °C⁻¹ | 0.00001283333333 °F⁻¹ |
| 0.00005 °C⁻¹ | 0.00002777777778 °F⁻¹ |
| 0.0001 °C⁻¹ | 0.00005555555556 °F⁻¹ |
| 0.00021 °C⁻¹ | 0.0001166666667 °F⁻¹ |
| 0.001 °C⁻¹ | 0.0005555555556 °F⁻¹ |
Where it's used
Per Degree Celsius are used for engineering handbooks and material tables, while per degree Fahrenheit appear in US piping and structural codes (ASME B31, AISC). 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 degree Fahrenheit | 0.5555555556 °F⁻¹ |
| per degree Celsius to per kelvin | 1 K⁻¹ |
| per degree Celsius to ppm per kelvin | 1000000 ppm/K |
| per degree Celsius to ppm per degree Fahrenheit | 555555.5556 ppm/°F |
Frequently asked questions
How many per degree Fahrenheit are in 1 per degree Celsius?
1 °C⁻¹ = 0.5555555556 °F⁻¹.
How do I convert per degree Celsius to per degree Fahrenheit?
Multiply the value in °C⁻¹ by 0.5555555556, or divide it by 1.8. For example, 15 °C⁻¹ × 0.5555555556 = 8.333333333 °F⁻¹.
Is the °C⁻¹ to °F⁻¹ conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4, degree Celsius.
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 Edition, National Institute of Standards and Technology , Appendix B.8, "degree Fahrenheit".
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). Per Degree Celsius to Per Degree Fahrenheit (°C⁻¹ to °F⁻¹). Retrieved October 25, 2026, from https://scientificconverters.com/thermal-expansion/per-degree-celsius-to-per-degree-fahrenheit/
IEEE
Scientific Converters, "Per Degree Celsius to Per Degree Fahrenheit (°C⁻¹ to °F⁻¹)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/thermal-expansion/per-degree-celsius-to-per-degree-fahrenheit/