Thermal Expansion Converter

ConversionEdited by Hemant Kumar and Anjita Rai, founders · How we checkUpdated Free · No sign-up

Quick answer: Choose a starting unit and a target unit, then enter a value. Common conversions: 1 1/K = 0.5555556 1/°F; 1 1/K = 1,000,000 ppm/°C; 1 1/K = 555,555.6 ppm/°F. This converter covers 6 thermal expansion units.

Use the Thermal Expansion Converter

Thermal Expansion formula and what each symbol means

target = value × (factor of starting unit ÷ factor of target unit), where each factor is the unit value in 1/K.

Symbols used in the formula
SymbolMeaning
valueThe number you want to convert
factorThe unit’s size expressed in the base unit (1/K)

Thermal Expansion examples

1/K to 1/°F

10 1/K = 5.555556 1/°F.

1/K to ppm/°C

10 1/K = 10,000,000 ppm/°C.

1/K to ppm/°F

10 1/K = 5,555,556 ppm/°F.

How to calculate Thermal Expansion step by step

  1. Choose the starting unit and the target unit.
  2. Enter your value.
  3. Read the converted value, plus the conversion factor in both directions.

Popular thermal expansion conversions

How to read your Thermal Expansion result

The coefficient of linear thermal expansion is the fractional change in length per degree. A per-kelvin value equals the per-Celsius value, while a per-Fahrenheit value is 5/9 as large. Metals are typically in the range of roughly 10 to 25 ppm/°C, with steel near 12 and aluminium near 23.

UNITSYMBOLEQUALSVALUE OF 1 1/K
Per kelvin1/K1 1/K = 1 1/K1 1/K
Per degree Celsius1/°C1 1/°C = 1 1/K1 1/°C
Per degree Fahrenheit1/°F1 1/°F = 1.8 1/K0.5555556 1/°F
Parts per million per kelvinppm/K1 ppm/K = 0.000001 1/K1,000,000 ppm/K
Parts per million per °Cppm/°C1 ppm/°C = 0.000001 1/K1,000,000 ppm/°C
Parts per million per °Fppm/°F1 ppm/°F = 0.0000018 1/K555,555.6 ppm/°F

Common mistakes when calculating Thermal Expansion

  • Mixing per-°C and per-°F values for the same material: the per-°F number is 5/9 of the per-°C number.
  • Forgetting that ppm means ×10⁻⁶.
  • Using a linear coefficient for volume expansion, which is roughly three times larger for solids.

Thermal Expansion FAQ

Is 1/K the same as 1/°C?

Yes. A kelvin and a Celsius degree are the same size, so the coefficients are equal.

How many 1/K is 1 ppm/°C?

1 ppm/°C is exactly 1×10⁻⁶ per kelvin.

Why is 1/°F different from 1/K?

A Fahrenheit degree is smaller than a kelvin, so a per-°F coefficient is smaller by a factor of 1.8.

What is the base unit for thermal expansion?

This converter uses per kelvin (1/K) as the common base unit: every value is first converted to it and then to the target unit.

How do I convert between two thermal expansion units?

Choose the starting and target units, enter the value and read the result. By hand: convert to the base unit with the table, then divide by the target unit factor.

How many Per Fahrenheit are in 1 per kelvin?

1 1/K = 0.5555556 1/°F.

How many ppm per °C are in 1 per kelvin?

1 1/K = 1,000,000 ppm/°C.

How many ppm per °F are in 1 per kelvin?

1 1/K = 555,555.6 ppm/°F.

Which thermal expansion units does this converter support?

It covers 6 units: per kelvin (1/K), Per degree Celsius (1/°C), Per degree Fahrenheit (1/°F), parts per million per kelvin (ppm/K), Parts per million per °C (ppm/°C), Parts per million per °F (ppm/°F).

How accurate is the thermal expansion converter?

Results are calculated at full double precision and shown to about 8 significant figures. Round the answer to the precision of your original measurement; a result cannot be more accurate than the number you started with.

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Method, review and disclaimer

Edited by: Hemant Kumar and Anjita Rai, founders of ToolsVault (SEO and content professional, not a licensed adviser). Method: this tool runs in your browser using the formula shown on this page; the numbers you enter are not sent to our servers. Sources: NIST SP 811, Appendix B.8: conversion factors, BIPM: the International System of Units (SI)