In a fraction of a second, this handy calculator accepts spin, orbital, and total angular momentum parameters and outputs the g-factor and magnetic moment.
Magnetic Moment Calculator: The Magnetic Moment Calculator assists in the calculation of an atom's magnetic moment. The following text describes the origin of the electron magnetic moment and gives the formula for the magnetic moment of an atom. In a fraction of a second, this handy calculator accepts spin, orbital, and total angular momentum parameters and outputs the g-factor and magnetic moment.
Determining an atom's magnetic moment is no longer difficult with the help of our calculator. To get the result, fill in the relevant information in the input fields and press the calculate button. You can obtain a full explanation on how to fix it along with the exact result. Continue reading to learn about the atom magnetic moment formula, orbital electron moment, and other topics.
The following text describes the origin of the electron magnetic moment and gives the formula for the magnetic moment of an atom.
An atom's magnetic moment has three origin:
The magnetic moment of a single electron is μ =-√3/4*gS*μB
An electron has an intrinsic magnetic moment for its spin.In the other side, implies that the spin has nothing to do with the actual spinning of an electron. The g-factor is a relationship between the magnetic moment and angular momentum.
The sum of an atom's spin and orbital magnetic moments is its total magnetic moment. It is not, however, a straightforward sum according to quantum mechanics laws.The formula is μ=-gJ*μB*√(J*(J+1))
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Question 1: What will be the magnetic moment of the substance, if the spinning of an electron is 10.586 with 10L of actual orbital contribution and the angular momentum is 15J.
Consider the problem, we have
The sum (ordinary) of spins of all electrons be S = 10.586
The sum of orbital quantum numbers of all electrons be L=10
The quantum number describing together the spin and orbital contributions, J = 15
We know the formula to calculate Magnetic Moment μ = -gJ*μB*√(J*(J+1))
Here, μB = 9.274 * 10-24 J/T is the Bohr magneton and gJ = 3/2 + (S(S+1) - L(L+1))/(2J*(J+1))
gJ = 3/2 + (10.586*(10.586+1) - 10*(10+1))/(2*15*(15+1))
Substituting the inputs, we get the following equation for Magnetic Moment:
μ = -9.274*10-24*√(15*(15+1))
As a result,The magnetic moment of single electron(μ) is -23.65μB
1. What is magnetic moment?
The magnetic strength and orientation of a magnet or other item that produces a magnetic field are defined as magnetic moment. The magnetic moment is a quantity that can be expressed as a vector. The items have a tendency to align themselves so that the magnetic moment vector aligns with the magnetic field lines.
2. How do you calculate an atom's magnetic moment using calculator?
3. How do you determine the magnetic moment?
If the sample's molecular mass (M) is 312.8236 g/mol and the maximum magnetization (Ms) is 0.088 emu/g, the magnetization in terms of Bohr magneton per formula unit may be determined using the formula μB/ f.u. = M * Ms/5585.