Question

give the ground-state Russell-Saunders terms for the following electronic configurations

(a) Give the ground-state Russell-Saunders terms for the following electronic configurations: i. (3d) ii. (41) (Hint: S, P, D, F, G, H, I... for L=0, 1, 2, 3, 4, 5, 6 ...) (4 marks each, total 8 marks) (b) Determine ALL the atomic term symbols for the electronic configuration p3. Calculate the number of microstates and deduce the ground state term using Hund's rule. (10 marks)

Answer 1

Sol" (a) -2 -1 0 +1 +2 2x 5+1 Russell- Saunders Terms 0 345 L= L S- 1 tl +1+1 2 2 2 2 con s P 0 DF G H I 2 3 4 5 6 |-2-1 +0+1+27 :) O => Russell- Sourdes ground state Teym. 25+! 25+1 6 L = 0) S ground state Terms os lii) 463 1117 TT -3 -2 -10 +1 +2 +3 I 6 L= 1-3-2-11 = - 3 S- 1+1+1 2 4 2X311 -) 25+1 2 I => L - 6 ground state Term- 4I CScanned with CamScanner

(6) p3 11 -10 +/ => L=740411 - 0 - 5 [ 2 St123] 25+1= 2X3 +1 - - 4 J=> [lts L-57 13 - 3] => Term symbol US a => p3 11/1 -1 0 1 » L= 1-2+0+0) - 25+1= 2x1 + 1 =) 2 [ Lts- L-5 [ 512 312) 20312 2 2051 Term Symbol 25+12] =) p3 L-H +O)- | - P 25+1= 2*4 +1 = 2 L-s 1/2 Jo [lts = [/2-42 .2.S+1 137 28312 2012 Possible Term Symbol are 2031 2 ,2P3/27 205127 2012] ( 45312 cscanned with CamScanner

Number of microstate in unor m= 8.684+1) - maximum ofvumber of electron field HP Number of Electron present in Orbitale for p3 11 16 13 16-3 = 16 13 13 20 6,514 u 13,37211 No of microstate = ground state Term using Hund's kule. 2P3/2 2P 2P2 2P 2D 20512 20 C 20312 3 P US 745312 CScanned with CamScanner