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