Free · Physics models
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.
- Formula & worked example
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Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
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.