The effective magnetic field seen by the electron in the 1 s 2 2 p state of the lithium atom and to compare the result to that for 3 p level of sodium found in example 41.7.

Question

Want to see the full answer?

Answer 1

Question

Chapter 41, Problem 41.60P

To determine

The effective magnetic field seen by the electron in the 1s22p state of the lithium atom and to compare the result to that for 3p level of sodium found in example 41.7.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

A lithium atom has three electrons, and the 2S1/2 groundstate electron configuration is 1s22s. The 1s22p excited state is split into two closely spaced levels, 2P3/2 and 2P1/2, by the spin-orbit interaction.A photon with wavelength 67.09608 mm is emitted in the 2P3/2 S 2S1/2 transition, and a photon with wavelength 67.09761 mm is emitted in the 2P1/2 S 2S1/2 transition. Calculate the effective magnetic field seen by the electron in the 1s22p state of the lithium atom.

Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², Lz = m₁h, 1 = 0,1,2,..., n 1 - m₁ = 0, ±1, ±2, ..., ±l 3 S² = s(s+1) h² = =h²₁ 4 Consider an excited electron (n > 1) on an H-atom. The total angular momentum ] = L + Š, whose magnitude and z-component follow a similar dependence to some quantum numbers j and m; as J² = j(j + 1)ħ², Jz = mjħ 1 S₂ = m₂h = ± = h Where j and m; are quantum numbers which assume values that jumps in steps of one such that j is non-negative and −j ≤ m¡ ≤ j. For a given quantum number 1, what are the (two) possible values for j? Clue: we can use the vector sum relation of angular momenta, then consider the z-component only.

Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², 1 = 0,1,2,..., n-1 Lz = m₂ħ, m₁ = 0, ±1, ±2,..., ±l 3 S² = s(s+1)h² = h², 4 Consider an excited electron (n > 1) on an H-atom. Sz = msh 1 =+=ħ Show that the minimum angle that the I can have with the z-axis is given by n-1 n L.min = cos Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/V