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Curie Constant from a Cubic Unit Cell

Estimate the volume Curie constant for a cubic cell from its atom count, lattice spacing and effective magnetic moment in Bohr magnetons.

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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

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Formula and method

curie constant = 0.33400320.

C = (2.6094 × 10⁻³⁰) N μ²/a³.

Worked example

Enter these known values and leave the other values blank.

Number of atoms (N)
4
Lattice constant (a)
0.5 nm
Magnetic moment (μ)
2 μB
Curie constant (C)
0.334 K

Assumptions and limitations

  • Estimate the volume Curie constant for a cubic cell from its atom count, lattice spacing and effective magnetic moment in Bohr magnetons.
  • The coefficient is a rounded SI model constant. All counted atoms are assumed to carry the same effective moment; susceptibility is C/T only for the ideal Curie model.
  • Use positive lattice spacing and atom count. The calculation treats count as an effective numeric occupancy, which can be fractional; it does not enumerate a crystal structure.
  • Inputs and inverse outputs share the displayed unit selectors. Clear a known field to solve for it, and lock quantities that must remain fixed. Singular inverses may have no finite result.
  • C has units kelvin for dimensionless SI volume susceptibility χ = C/T. The captured output suffix with inverse permeability is corrected in the authored display; the retained coefficient already contains μ₀.

Common questions

Is this Curie temperature?

No. It is the constant in an ideal susceptibility law, not a magnetic transition temperature.

What happens if cell spacing doubles?

At fixed occupancy and moment, the volume constant falls by a factor of eight.

References

Enforce the explicitly stated physical domain: Effective moment magnitude cannot be negative.

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