Curie Constant Calculator

It states that the magnetization of a paramagnetic substance is directly proportional to the Curie constant and the magnetic field is inversely proportional to temperature,T.

M = C/T*B

• Where, M is denoted as magnetization of a paramagnetic substance
• C be the Curie constant
• B is the magnetic field
• T be the temperature

The Curie Constant describes a paramagnetic material's susceptibility to a magnetic field. It is determined by the strength and density of magnetic moments in the atoms that make up the substance.

The equation is C = μ₀/(3kB) * N / a³ *μ²

• μ₀ be the permeability of free space, μ₀= 4*π*10^-7T*m/A
• kB is the Boltzmann constant, kB=1381*10^-7J/K
• N is the number of atoms in a unit cell that carry the magnetic moment
• a[m] be the lattice constant
• μ[J/T] be the magnetic moment of a single atom.

Take a look at the simple steps for calculating the Curie Constant Value. They are along the lines

• Subtract three times the Boltzmann constant from the permeability of open space.
• Multiply it by the number of atoms in the system.
• Calculate the square of the magnetic moment and the cube of the lattice constant.
• To check the Curie constant, divide the result in the second step by the result.

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Question 1: A paramagnetic substance with 130 atoms has a lattice constant of 0.1 nm and a magnetic moment of 3B. How can you find the Curie constant?

Solution:

Consider the problem, we have

Lattice a = 0.1 nm

Number of atoms N = 130

Magnetic moment μ = 3μB

We know the formula to calculate Curie constant C = μ₀/(3kB)*N / a³ * μ²

Substituting the inputs, we get the following equation for curie constant:

C = 4π x 10^-7/(3 x 1,381 * 10^-7) x 130/0.1³x3²

C = 3052.2271332273563 K*A/(T*m)

As a result, The Curie Constant is 3052.23 K*A/(T*m)

1. What is the Curie Temperature(Tc)?

When the magnetic core is below this temperature, it becomes ferromagnetic, and when it is above this temperature, it becomes paramagnetic.

2. What factors have an impact on the Curie Constant?

The number of atoms, lattice constant, and magnetic moment all influence the Curie constant.

3. What is Curie's Constant in Constrained Magnetic Fields?

Curie's constant is a property that is material dependant. It is a relationship between the magnetic susceptibility of a substance and its temperature. The constant is employed in Curie's law, which states that temperature is inversely proportional to the magnetization of the material at a fixed value of a magnetic field.

4. What are the limitations imposed by Curie's Law?

The Curie-Weiss law fails in many materials to describe susceptibility. The critical temperature is substituted with the Curie temperature if the temperature is higher than the critical temperature.

5. What is the value of the Curie Constant?

The formula: C = μ₀/(3kB)*N / a³ * μ² is used to measure the value of the Curie constant. The lattice constant is denoted as a, the magnetic moment is μ, and the number of atoms is N.