Convert ppm/K to Per Degree Celsius (ppm/K to °C⁻¹)
1 ppm per kelvin (ppm/K) = 0.000001 per degree Celsius (°C⁻¹). 1 °C⁻¹ = 1000000 ppm/K. Example: 15 ppm/K = 15 × 0.000001 = 0.000015 °C⁻¹.
Also searched as ppm per kelvin to °C⁻¹, ppm per kelvin in °C⁻¹, ppm per kelvin into per degree Celsius, ppm/K to °C⁻¹, ppm/K in per degree Celsius, ppm/K into per degree Celsius, ppm per kelvin to per degree Celsius, ppm/K to per degree Celsius converter and how many per degree Celsius in a ppm per kelvin.
1 ppm/K = 0.000001 °C⁻¹
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk ppm per kelvin to per degree Celsius converter to paste a column from Excel.
How to Convert ppm/K to Per Degree Celsius
- 1 ppm/K = 0.000001 °C⁻¹
- 1 °C⁻¹ = 1000000 ppm/K
- Example: convert 15 ppm/K to °C⁻¹: 15 ppm/K = 15 × 0.000001 °C⁻¹ = 0.000015 °C⁻¹
Formula
°C⁻¹ = ppm/K ÷ 1000000
Derivation from SI units:
- 1 ppm/K = 10⁻⁶ K⁻¹ = 1 µm/(m·K) = 1 µm/(m·°C)
- 1/°C = 1/K, because a temperature difference of 1 °C equals 1 K
- 1 ppm/K = 0.000001 K⁻¹ ÷ 1 K⁻¹ per °C⁻¹ = 0.000001 °C⁻¹
Both units are defined exactly, so the factor is exact. ppm/K definition: ppm per kelvin; Per Degree Celsius definition: per degree Celsius.
Worked examples
- A reading of 9 ppm/K converts to 0.000009 °C⁻¹.
9 ppm/K × 0.000001 = 0.000009 °C⁻¹ - A value of 17.3 ppm/K is 0.0000173 °C⁻¹.
17.3 ppm/K × 0.000001 = 0.0000173 °C⁻¹
ppm/K to Per Degree Celsius conversion table
| ppm/K | Per Degree Celsius (°C⁻¹) |
|---|---|
| 0.5 ppm/K | 5 × 10⁻⁷ °C⁻¹ |
| 1 ppm/K | 0.000001 °C⁻¹ |
| 3 ppm/K | 0.000003 °C⁻¹ |
| 4 ppm/K | 0.000004 °C⁻¹ |
| 9 ppm/K | 0.000009 °C⁻¹ |
| 12 ppm/K | 0.000012 °C⁻¹ |
| 13 ppm/K | 0.000013 °C⁻¹ |
| 16.5 ppm/K | 0.0000165 °C⁻¹ |
| 17.3 ppm/K | 0.0000173 °C⁻¹ |
| 23.1 ppm/K | 0.0000231 °C⁻¹ |
| 50 ppm/K | 0.00005 °C⁻¹ |
| 100 ppm/K | 0.0001 °C⁻¹ |
Where it's used
ppm/K are used for material datasheets for metals, ceramics and polymers, 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.
ppm/K to other thermal expansion coefficient units
| Conversion | 1 ppm/K equals |
|---|---|
| ppm per kelvin to per degree Celsius | 0.000001 °C⁻¹ |
| ppm per kelvin to per kelvin | 0.000001 K⁻¹ |
| ppm per kelvin to per degree Fahrenheit | 5.555555556 × 10⁻⁷ °F⁻¹ |
| ppm per kelvin to ppm per degree Fahrenheit | 0.5555555556 ppm/°F |
Frequently asked questions
How many per degree Celsius are in 1 ppm per kelvin?
1 ppm/K = 0.000001 °C⁻¹.
How do I convert ppm per kelvin to per degree Celsius?
Multiply the value in ppm/K by 0.000001, or divide it by 1000000. For example, 15 ppm/K × 0.000001 = 0.000015 °C⁻¹.
Is the ppm/K to °C⁻¹ conversion exact?
Yes. Both units are defined exactly, and 1 ppm/K is exactly 0.000001 °C⁻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 ppm/K to Per Degree Celsius (ppm/K to °C⁻¹). Retrieved October 25, 2026, from https://scientificconverters.com/thermal-expansion/ppm-per-kelvin-to-per-degree-celsius/
IEEE
Scientific Converters, "Convert ppm/K to Per Degree Celsius (ppm/K to °C⁻¹)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/thermal-expansion/ppm-per-kelvin-to-per-degree-celsius/