[Based on MP Problem Set 12; MC29.01, MC 29.10, 29.13. \"Light off a Photoelectr

Question

[Based on MP Problem Set 12; MC29.01, MC 29.10, 29.13. "Light off a Photoelectric Surface" and Diffraction of an Electron Beam."1 In ground state neutral Cesium, the n = 1, 2, and 3 shells are completely filled, as are the 4s, 4p, 4d, 5s, and 5p subshells. The 6s subshell contains a single electron. Short Answers: A particular electron has quantum numbers n 4,1-2. ipoint In spectroscopic notation, which of the subshells is this electron in? ii) I point] What is the magnitude of the angular momentum |L for this electron? (As a multiple of h). ii)[l point] What quantum numbers mi and m, are possible for this electron? iv) [1 point] Write the electron configuration for the neutral Cesius atom starting with the 4s subshell (you do a) not have to worry about the n = 1, 2, and 3 subshells). That is, “4s."

Explanation / Answer

a)

1) s= 0, p= 1, d= 2

Therefore the given electron is in the d subshell.

2) Magnitude of angular momentum = (l(l+1))1/2 h = 60.5h = 2.449h

3) The magnetic quantum number ml possible for this electron are from -l to +l and they values possible are -2, -1,0, 1, 2. The spin quantum number ms possible for this electron are -1/2 or +1/2

4) 4s23d104p65s24d105p66s1

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