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The ground state of a particular atom has S =1/2, and L =5. For a state which ha

ID: 1470462 • Letter: T

Question

The ground state of a particular atom has S =1/2, and L =5. For a state which has these values of S and L , select each of the following which is a posible value of J (J= L plus or minus S), and which is the correct spectroscopic notation for the state having this value of J;

a) J=5,   2H5
b) J= 11/2, 2H12
c) J=11/2,   2H11/2
d) J=9/2,   2H9/2  

How many different permissible values of J exist for these values of S and L?

What is the spectroscopic term symbol (2S+1LJ) for this atom in its ground state?
a) 2S+1=
b) L=
c) J=

Show work if possible.

Explanation / Answer

for L = 5 the state is H

spectro scopic symbol 2s+1 = 2*1/2+1 = 2

L = 5

j = l+s or l-s

j = 5+1/2 or 5-1/2 = 11/2 or 9/2

2H9/2

possibl epermissible values 2j+1 = 2*9/2+1 = 10