Convert Per Degree Celsius to ppm/K (°C⁻¹ to ppm/K)
1 per degree Celsius (°C⁻¹) = 1000000 ppm per kelvin (ppm/K). 1 ppm/K = 0.000001 °C⁻¹. Example: 15 °C⁻¹ = 15 × 1000000 = 15000000 ppm/K.
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1 °C⁻¹ = 1000000 ppm/K
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk per degree Celsius to ppm per kelvin converter to paste a column from Excel.
How to Convert Per Degree Celsius to ppm/K
- 1 °C⁻¹ = 1000000 ppm/K
- 1 ppm/K = 0.000001 °C⁻¹
- Example: convert 15 °C⁻¹ to ppm/K: 15 °C⁻¹ = 15 × 1000000 ppm/K = 15000000 ppm/K
Formula
ppm/K = °C⁻¹ × 1000000
Derivation from SI units:
- 1/°C = 1/K, because a temperature difference of 1 °C equals 1 K
- 1 ppm/K = 10⁻⁶ K⁻¹ = 1 µm/(m·K) = 1 µm/(m·°C)
- 1 °C⁻¹ = 1 K⁻¹ ÷ 0.000001 K⁻¹ per ppm/K = 1000000 ppm/K
Both units are defined exactly, so the factor is exact. Per Degree Celsius definition: per degree Celsius; ppm/K definition: ppm per kelvin.
Worked examples
- A reading of 0.000012 °C⁻¹ converts to 12 ppm/K.
0.000012 °C⁻¹ × 1000000 = 12 ppm/K - A value of 0.00005 °C⁻¹ is 50 ppm/K.
0.00005 °C⁻¹ × 1000000 = 50 ppm/K
Per Degree Celsius to ppm/K conversion table
| Per Degree Celsius (°C⁻¹) | ppm/K |
|---|---|
| 0.0000005 °C⁻¹ | 0.5 ppm/K |
| 0.000001 °C⁻¹ | 1 ppm/K |
| 0.000009 °C⁻¹ | 9 ppm/K |
| 0.000012 °C⁻¹ | 12 ppm/K |
| 0.000017 °C⁻¹ | 17 ppm/K |
| 0.0000231 °C⁻¹ | 23.1 ppm/K |
| 0.00005 °C⁻¹ | 50 ppm/K |
| 0.0001 °C⁻¹ | 100 ppm/K |
| 0.00021 °C⁻¹ | 210 ppm/K |
| 0.001 °C⁻¹ | 1000 ppm/K |
Where it's used
Per Degree Celsius are used for engineering handbooks and material tables, while ppm per kelvin appear in material datasheets for metals, ceramics and polymers. 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 ppm per kelvin | 1000000 ppm/K |
| per degree Celsius to per kelvin | 1 K⁻¹ |
| 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 ppm per kelvin are in 1 per degree Celsius?
1 °C⁻¹ = 1000000 ppm/K.
How do I convert per degree Celsius to ppm per kelvin?
Multiply the value in °C⁻¹ by 1000000. For example, 15 °C⁻¹ × 1000000 = 15000000 ppm/K.
Is the °C⁻¹ to ppm/K conversion exact?
Yes. Both units are defined exactly, and 1 °C⁻¹ is exactly 1000000 ppm/K.
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 ppm/K (°C⁻¹ to ppm/K). Retrieved October 25, 2026, from https://scientificconverters.com/thermal-expansion/per-degree-celsius-to-ppm-per-kelvin/
IEEE
Scientific Converters, "Convert Per Degree Celsius to ppm/K (°C⁻¹ to ppm/K)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/thermal-expansion/per-degree-celsius-to-ppm-per-kelvin/