PHYSICS 8B Study Guide - Final Guide: Pauli Exclusion Principle
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Solution to final problem 1: the energy of each level is given by. 1 (like the electron in a hydrogen atom, the two ground states are (n; l; m; ms) = (1; 0; 0; +1=2) and (1; 0; 0; (cid:0)1=2) :) as a result, the (cid:133)rst six states are. Et = e0(cid:2)(cid:0)12 + 12(cid:1) +(cid:0)12 + 12(cid:1) +(cid:0)12 + 22(cid:1) +(cid:0)12 + 22(cid:1) +(cid:0)22 + 12(cid:1) +(cid:0)22 + 12(cid:1)(cid:3) = 24 : (you will still get full credit if your answer is consistent with that in part (a) even you did wrong there. ) 1 (c) the next energy level is (nx; ny) = (2; 2) ; so it requires energy to (cid:133)ll it, or. = 8 : (again you will get credit if your answer is consistent with that in part (a). Et = e0(cid:2)(cid:0)12 + 12(cid:1) +(cid:0)12 + 12(cid:1) +(cid:0)12 + 12(cid:1) +(cid:0)12 + 12(cid:1) +(cid:0)12 + 12(cid:1) +(cid:0)12 + 12(cid:1)(cid:3)