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Give all term symbols of an atom with configuration s^1p^1 with working
Accepted Answer
The term symbols for an atom with configuration s¹p¹ are:
1. ³P (triplet P)
2. ¹P (singlet P)
Working:
Determining the total spin angular momentum (S):
s¹: One electron with spin s = 1/2
p¹: One electron with spin s = 1/2
Total spin angular momentum (S) can be S = s₁ + s₂ = 1/2 + 1/2 = 1 or S = s₁ - s₂ = 1/2 - 1/2 = 0
Therefore, S = 1 or S = 0
Determining the total orbital angular momentum (L):
s¹: l = 0
p¹: l = 1
Total orbital angular momentum (L) = l₁ + l₂ = 0 + 1 = 1
Calculating the multiplicity (2S+1):
For S = 1, Multiplicity = 2(1)+1 = 3 (triplet)
For S = 0, Multiplicity = 2(0)+1 = 1 (singlet)
Determining the term symbol:
The term symbol is written as (2S+1)L, where L is represented by:
L = 0, S
L = 1, P
L = 2, D
L = 3, F
etc.
Therefore, the term symbols are ³P (triplet P) and ¹P (singlet P).
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