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Curie Constant

In physics, unlike other physical constants, the curie constant is a material dependent property. It expresses the relation between the magnetic susceptibility of a material to its temperature. Measured using K.A.T-1.m-1. In this article, let us know in detail about the Curie constant.

Table of Contents:

Formula

In SI units the Curie constant can be expressed as

C=μ0μB23kBng2J(J+1)

Where,

  • C is the Curie constant.
  • n is the number of magnetic atoms per unit volume.
  • g is the g-factor.
  • μB is the Bohr magneton.
  • kB is the Boltzmann constant.
  • J is the angular momentum quantum number.
  • μ0 is the permeability of free space.

For the two-level system, the above equation can be reduced to

C=1kBnμ0μ2

In Gaussian units, the Curie constant can be expressed as

C=μB23kBng2J(J+1)

Where,

  • C is the Curie constant.
  • n is the number of magnetic atoms per unit volume.
  • g is the g-factor.
  • μB is the Bohr magneton.
  • kB is the Boltzmann constant.
  • J is the angular momentum quantum number.

For the two-level system, the above equation can be reduced to

C=1kBnμ2

Applications

The Curie constant is used in Curie law. Which states that for any magnetic field with a fixed value, the Magnetisation of the material is inversely proportional to the temperature. Mathematically given by-

M=CTB

Where,

  • M is the magnetisation of a material.
  • B is the magnetic field.
  • T is the temperature.
  • C is the Curie constant.

Hope you have understood Curie’s constant. It is defined by its Units, the Formula in the SI system of Units and Gaussian units, and terms and their applications in physics, especially in Curie law.

Physics Related Topics:

Stefan-Boltzmann Constant
Impedance Of Free Space
Gas Constant
Rydberg Constant

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Frequently Asked Questions – FAQs

Q1

The Curie constant is represented using which alphabet?

The Curie constant is represented using the alphabet ‘C’.
Q2

State Curie’s law

Curie’s law states that for any magnetic field with a fixed value, the material’s Magnetisation is inversely proportional to the temperature.

Q3

Give the mathematical representation of Curie’s law?

M=CTB
Where,
M is the magnetisation of a material.
B is the magnetic field.
T is the temperature.
C is the Curie constant.
Q4

Define Boltzmann constant?

Boltzmann constant is the physical constant relating the average kinetic energy of the gas particles and the temperature of the gas represented by k or kB.
Q5

How can Curie constant be expressed in Gaussian units?

In Gaussian units, the Curie constant can be expressed as:

C=μB23kBng2J(J+1)
Where,
C is the Curie constant.
n is the number of magnetic atoms per unit volume.
g is the g-factor.
μB is the Bohr magneton.
kB is the Boltzmann constant.
J is the angular momentum quantum number.

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