Convert Per Kelvin to Per Degree Fahrenheit (K⁻¹ to °F⁻¹)
1 per kelvin (K⁻¹) = 0.5555555556 per degree Fahrenheit (°F⁻¹). 1 °F⁻¹ = 1.8 K⁻¹. Example: 0.000012 K⁻¹ = 0.000012 × 0.5555555556 = 0.000006666666667 °F⁻¹.
Also searched as per kelvin to °F⁻¹, per kelvin in °F⁻¹, per kelvin into per degree Fahrenheit, K⁻¹ to °F⁻¹, K⁻¹ in per degree Fahrenheit, K⁻¹ into per degree Fahrenheit, per kelvin to per degree Fahrenheit, K⁻¹ to per degree Fahrenheit converter and how many per degree Fahrenheit in a per kelvin.
1 K⁻¹ = 0.5555555556 °F⁻¹
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk per kelvin to per degree Fahrenheit converter to paste a column from Excel.
How to Convert Per Kelvin to Per Degree Fahrenheit
- 1 K⁻¹ = 0.5555555556 °F⁻¹
- 1 °F⁻¹ = 1.8 K⁻¹
- Example: convert 0.000012 K⁻¹ to °F⁻¹: 0.000012 K⁻¹ = 0.000012 × 0.5555555556 °F⁻¹ = 0.000006666666667 °F⁻¹
Formula
°F⁻¹ = K⁻¹ × 0.5555555555556
or °F⁻¹ = K⁻¹ ÷ 1.8
Derivation from SI units:
- The SI unit of the coefficient of thermal expansion: relative change in length (m/m) per kelvin
- A Fahrenheit degree is 5/9 of a kelvin, so 1/°F = 1.8/K (exact)
Both units are defined exactly, so the factor is exact. Per Kelvin definition: per kelvin; Per Degree Fahrenheit definition: per degree Fahrenheit.
Worked examples
- Carbon steel at 0.000012 K⁻¹ is 0.000006666666667 °F⁻¹.
0.000012 K⁻¹ × 0.5555555556 = 0.000006666666667 °F⁻¹ - Copper at about 0.000017 K⁻¹ is 0.000009444444444 °F⁻¹.
0.000017 K⁻¹ × 0.5555555556 = 0.000009444444444 °F⁻¹
Per Kelvin to Per Degree Fahrenheit conversion table
| Per Kelvin (K⁻¹) | Per Degree Fahrenheit (°F⁻¹) |
|---|---|
| 0.0000005 K⁻¹ | 2.777777778 × 10⁻⁷ °F⁻¹ |
| 0.000001 K⁻¹ | 5.555555556 × 10⁻⁷ °F⁻¹ |
| 0.000009 K⁻¹ | 0.000005 °F⁻¹ |
| 0.000012 K⁻¹ | 0.000006666666667 °F⁻¹ |
| 0.000017 K⁻¹ | 0.000009444444444 °F⁻¹ |
| 0.0000231 K⁻¹ | 0.00001283333333 °F⁻¹ |
| 0.00005 K⁻¹ | 0.00002777777778 °F⁻¹ |
| 0.0001 K⁻¹ | 0.00005555555556 °F⁻¹ |
| 0.00021 K⁻¹ | 0.0001166666667 °F⁻¹ |
| 0.001 K⁻¹ | 0.0005555555556 °F⁻¹ |
Where it's used
SI expansion coefficients in 1/K are converted to 1/°F for US design codes and when temperature changes are given in °F. Divide by 1.8.
Per Kelvin to other thermal expansion coefficient units
| Conversion | 1 K⁻¹ equals |
|---|---|
| per kelvin to per degree Fahrenheit | 0.5555555556 °F⁻¹ |
| per kelvin to ppm per kelvin | 1000000 ppm/K |
| per kelvin to per degree Celsius | 1 °C⁻¹ |
| per kelvin to ppm per degree Fahrenheit | 555555.5556 ppm/°F |
Frequently asked questions
Do I add 32 when converting α from °C to °F?
No. α is per degree of change, so only the 1.8 ratio applies; the 32 °F offset is only for temperature readings.
How many per degree Fahrenheit are in 1 per kelvin?
1 K⁻¹ = 0.5555555556 °F⁻¹.
How do I convert per kelvin to per degree Fahrenheit?
Multiply the value in K⁻¹ by 0.5555555556, or divide it by 1.8. For example, 0.000012 K⁻¹ × 0.5555555556 = 0.000006666666667 °F⁻¹.
Is the K⁻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). Convert Per Kelvin to Per Degree Fahrenheit (K⁻¹ to °F⁻¹). Retrieved October 25, 2026, from https://scientificconverters.com/thermal-expansion/per-kelvin-to-per-degree-fahrenheit/
IEEE
Scientific Converters, "Convert Per Kelvin to Per Degree Fahrenheit (K⁻¹ to °F⁻¹)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/thermal-expansion/per-kelvin-to-per-degree-fahrenheit/