Curie Constant Calculator, Formula, Calculation with Example

Curie Constant Calculator :

Enter the Lattice constant in nanometers(nm), Magnetic moment in μB, and you get the Curie constant in K*A/(T*m).

Curie Constant Calculator

Curie Constant Equation :

Curie constant equation C(K *A) in Kelvin per Ampere is equal to the the permeability of free space μ0(m/A) in meter per Ampere and divided by the three and multiply the the Boltzmann constant KB(j/k) in joule per kelvin and multiply the number of atoms carrying the magnetic moment in a unit cell N and divided by the cubie lattice constant a3(nm) in nanometer and multiply   the  sqauare of the magnetic moment of a single atom μ2(T m/A) in Telsa per meter per Ampere.Hence the curie constant equation can be written as

C(K *A)= μ0(m/A) /(3 *KB(j/k) )* N / a3(nm)2(T m/A)

Derivation :

M=c /T *B

The curie constant characterizes the susceptibility of the paramagnetic material to the magnetic field its equation is

C= μ0 /(3 *KB )* N / a32

Where

μ0 = permeability of free space and its value is 4* π *10-7 T m/A

KB = Boltzmann constant and value is 1.381 *10-7 J/k

N= number of atoms carrying the magnetic moment in a unit cell

A= lattice constant

μ =magnetic moment of a single atom

Example:1

Calculate the curie constant? In a number of atoms in a paramagnetic material are 150, lattice constant is 0.5 nm and magnetic moment is 8 μB.

Answer:

Given that

Lattice a =0.5 nm

Convert it into 1 meter =1000000000 nanometer =0.5 /1000000000 =5*10-10 m

Number of atoms N =150

Magnetic moment μ =8 μB

Curie constant formula c = C= μ0 /(3 *KB )* N / a32

C=4* π *10-7 / (3* 1.381 *10-23) * 150 / 5*10-10 * 8

C=200.3513195 K *A /(T *m)

Example:2

Calculate the curie constant? In a number of atoms in a paramagnetic material are 250, lattice constant is 9.8 nm and magnetic moment is 26 μB.

Answer:

Given that

Lattice a =9.8 nm

Convert it into 1 meter =1000000000 nanometer =9.8 /1000000000 =9.8*10-09 m

Number of atoms N =250

Magnetic moment μ =26 μB

Curie constant formula c = C= μ0 /(3 *KB )* N / a32

C=4* π *10-7 / (3* 1.381 *10-23) * 250 /9.8 *10-19 * 26

C=0.468424 K *A /(T *m)

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