Scientific Converters Precise unit conversions for science & engineering.

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    Convert Per Kelvin to Per Degree Celsius (K⁻¹ to °C⁻¹)

    1 per kelvin (K⁻¹) = 1 per degree Celsius (°C⁻¹). 1 °C⁻¹ = 1 K⁻¹. Example: 15 K⁻¹ = 15 × 1 = 15 °C⁻¹.

    Also searched as per kelvin to °C⁻¹, per kelvin in °C⁻¹, per kelvin into per degree Celsius, K⁻¹ to °C⁻¹, K⁻¹ in per degree Celsius, K⁻¹ into per degree Celsius, per kelvin to per degree Celsius, K⁻¹ to per degree Celsius converter and how many per degree Celsius in a per kelvin.

    K⁻¹
    Swap: convert per degree Celsius to per kelvin
    °C⁻¹

    1 K⁻¹ = 1 °C⁻¹

    Type in either box. Scientific notation works: 1.5e-3.

    Converting a list? Use the bulk per kelvin to per degree Celsius converter to paste a column from Excel.

    How to Convert Per Kelvin to Per Degree Celsius

    • 1 K⁻¹ = 1 °C⁻¹
    • 1 °C⁻¹ = 1 K⁻¹
    • Example: convert 15 K⁻¹ to °C⁻¹: 15 K⁻¹ = 15 × 1 °C⁻¹ = 15 °C⁻¹

    Formula

    °C⁻¹ = K⁻¹ × 1

    Derivation from SI units:

    • The SI unit of the coefficient of thermal expansion: relative change in length (m/m) per kelvin
    • 1/°C = 1/K, because a temperature difference of 1 °C equals 1 K

    Both units are defined exactly, so the factor is exact. Per Kelvin definition: per kelvin; Per Degree Celsius definition: per degree Celsius.

    Worked examples

    1. A reading of 0.000012 K⁻¹ converts to 0.000012 °C⁻¹.
      0.000012 K⁻¹ × 1 = 0.000012 °C⁻¹
    2. A value of 0.00005 K⁻¹ is 0.00005 °C⁻¹.
      0.00005 K⁻¹ × 1 = 0.00005 °C⁻¹

    Per Kelvin to Per Degree Celsius conversion table

    Per Kelvin to Per Degree Celsius conversion table
    Per Kelvin (K⁻¹)Per Degree Celsius (°C⁻¹)
    0.0000005 K⁻¹5 × 10⁻⁷ °C⁻¹
    0.000001 K⁻¹0.000001 °C⁻¹
    0.000009 K⁻¹0.000009 °C⁻¹
    0.000012 K⁻¹0.000012 °C⁻¹
    0.000017 K⁻¹0.000017 °C⁻¹
    0.0000231 K⁻¹0.0000231 °C⁻¹
    0.00005 K⁻¹0.00005 °C⁻¹
    0.0001 K⁻¹0.0001 °C⁻¹
    0.00021 K⁻¹0.00021 °C⁻¹
    0.001 K⁻¹0.001 °C⁻¹

    Where it's used

    Per Kelvin are used for linear expansion ΔL = α L ΔT, while per degree Celsius appear in engineering handbooks and material tables. Both measure coefficient of thermal expansion (α, CTE), so the conversion is a fixed factor.

    Per Kelvin to other thermal expansion coefficient units

    1 K⁻¹ expressed in every thermal expansion coefficient unit
    Conversion1 K⁻¹ equals
    per kelvin to per degree Celsius 1 °C⁻¹
    per kelvin to ppm per kelvin 1000000 ppm/K
    per kelvin to per degree Fahrenheit 0.5555555556 °F⁻¹
    per kelvin to ppm per degree Fahrenheit 555555.5556 ppm/°F

    Frequently asked questions

    How many per degree Celsius are in 1 per kelvin?

    1 K⁻¹ = 1 °C⁻¹.

    How do I convert per kelvin to per degree Celsius?

    Multiply the value in K⁻¹ by 1. For example, 15 K⁻¹ × 1 = 15 °C⁻¹.

    Is the K⁻¹ to °C⁻¹ conversion exact?

    Yes. Both units are defined exactly, and 1 K⁻¹ is exactly 1 °C⁻¹.

    Sources

    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 Celsius (K⁻¹ to °C⁻¹). Retrieved October 25, 2026, from https://scientificconverters.com/thermal-expansion/per-kelvin-to-per-degree-celsius/

    IEEE

    Scientific Converters, "Convert Per Kelvin to Per Degree Celsius (K⁻¹ to °C⁻¹)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/thermal-expansion/per-kelvin-to-per-degree-celsius/

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