1. Calculate the value of the ‘Lande g-factor’ for a single valence electron atom corresponding to its S, P, and D states. Using these results, calculate the values of the product gMj for all possible energy states of a single valence electron atom corresponding to its S, P, and D states.
Answers
Explanation:
The Lande' g-factor is a geometric factor which arises in the evaluation of the magnetic interaction which gives the Zeeman effect. The magnetic interaction energy
which is continuous in the classical case takes on the quantum form
which is like a vector operation based on the vector model of angular momentum
The problem with evaluating this scalar product is that L and S continually change in direction as shown in the vector model. The strategy for dealing with this problem is to use the direction of the total angular momentum J as a coordinate axis and obtain the projection of each of the vectors in that direction. This is done by taking the scalar product of each vector with a unit vector in the J direction.
These vector relationships must be evaluated and expressed in terms of quantum numbers in order to evaluate the energy shifts. Carrying out the scalar products above leads to
Answer:
In physics, the Landé g-factor is a particular example of a g-factor, namely for an electron with both spin and orbital angular momenta. It is named after Alfred Landé, who first described it in 1921.
In atomic physics, the Landé g-factor is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field. The quantum states of electrons in atomic orbitals are normally degenerate in energy, with
In physics, the Landé g-factor is a particular example of a g-factor, namely for an electron with both spin and orbital angular momenta. It is named after Alfred Landé, who first described it in 1921.
In atomic physics, the Landé g-factor is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field. The quantum states of electrons in atomic orbitals are normally degenerate in energy, with these degenerate states all sharing the same angular momentum. When the atom is placed in a weak magnetic field, however, the degeneracy is lifted.