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