Magnetic Susceptibility Calculator
Enter absolute temperature, Curie constant, and magnetic field strength in consistent SI units.
About Curie's Law
Curie's law describes the magnetic response of an ideal paramagnetic material. It states that magnetic susceptibility equals the material's Curie constant divided by absolute temperature. The model captures a key physical trend: thermal agitation increasingly randomizes magnetic moments as temperature rises, so susceptibility falls. At lower temperatures the moments align more readily with an applied field, giving a larger response, provided the material remains in the paramagnetic regime.
This calculator first evaluates susceptibility using C divided by T. It then multiplies susceptibility by magnetic field strength H to estimate magnetization M. With dimensionless SI volume susceptibility and field strength in amperes per meter, magnetization is reported in amperes per meter. Temperature must be entered in kelvins because the inverse relation uses an absolute thermodynamic scale. Celsius values cannot be substituted directly; convert them by adding 273.15.
The Curie constant incorporates microscopic information including the number density and effective magnetic moment of the magnetic particles. Its numerical value and units depend on whether susceptibility is expressed per volume, per mass, or per mole and on the electromagnetic unit system. The calculator follows the simple dimensionless SI volume-susceptibility convention. A constant taken from a source using cgs units or molar susceptibility must be converted before it can be combined consistently with the displayed inputs.
Curie's law assumes independent localized moments and a magnetic field weak enough for a linear response. Many real materials exhibit interactions between moments. The Curie-Weiss law accounts for those interactions approximately by replacing temperature with temperature minus a fitted Curie-Weiss temperature. Near magnetic ordering transitions, at very low temperatures, or in strong fields approaching saturation, the basic inverse-temperature law can be inaccurate. Diamagnetic background and temperature-independent paramagnetism may also need to be removed from measured data.
Use the result to explore trends, check classroom calculations, or estimate a weak-field paramagnetic response. For laboratory analysis, document the susceptibility convention, field definition, sample geometry, demagnetizing correction, and unit conversions. Compare calculations with measurements across a temperature range rather than relying on one point. The calculator intentionally reports both susceptibility and magnetization so the material property and its predicted response to the entered field remain clearly distinguished.
Frequently Asked Questions
What is the formula for Curie's law?
Magnetic susceptibility equals the Curie constant divided by absolute temperature. In a linear material, magnetization then equals susceptibility times magnetic field strength.
Why must temperature be in kelvins?
Curie's law depends on absolute temperature measured from thermodynamic zero. Using Celsius directly gives an incorrect inverse-temperature ratio.
Does the law apply to ferromagnets?
The simple law describes ideal paramagnets and may approximate some materials well above an ordering transition. Interacting moments are often modeled more accurately with the Curie-Weiss law.
Is susceptibility always dimensionless?
SI volume susceptibility is dimensionless, which is assumed here. Mass and molar susceptibilities have units and require matching forms of the Curie constant.
Can magnetization stay linear at any field?
No, the linear relation is a weak-field approximation. Strong fields can align many moments and drive the material toward magnetic saturation.