Chapter 8, Problem 8C.12BE

(i)

Interpretation Introduction

Interpretation:

Possible term symbols for $\text{Sc}[\text{Ar}]3d^{1}4s^2$ has to be given.

Concept Introduction:

A term symbol describes the orbital, spin and total angular momenta of an electronic state.  The symbol $L$ represents the vector sum of orbital angular momentum.  The symbol $S$ represents the vector sum of spin angular momentum.  The symbol $J$ represents the total angular momentum.  Therefore, the term symbol is represented as given below,

  ${}^{2S+1}{L}_J$

Sum of orbital angular momentum of individual electrons is the total orbital angular momentum ($M_L$).  By knowing the $M_L$ values, the free-ion terms can be determined.  General table for the free-ion terms can be given as shown below,

$M_L$	Free-ion term
0	S
1	P
2	D
3	F
4	G
5	H
6	I

Sum of spin angular momentum of individual electrons is the total spin angular momentum ($M_S$).  Vector sum of the orbital angular momentum and spin angular momentum is the total angular momentum ($J$).  This can be given as,

    $J=(L+S)\text{to}(L-S)$

(ii)

Interpretation Introduction

Interpretation:

Possible term symbols for $\text{Br}[\text{Ar}]3d^{10}4s^{2}4p^5$ has to be given.

Concept Introduction:

Refer part (i).