Frequently Asked Question

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Give all the term symbols for an atom with the configurations a. s1 b. p1 c. s1p1 and explain fully

Accepted Answer

Here are the term symbols for the given electron configurations and explanations:
a. s1
Electron Configuration: One electron in an s orbital.
L (Orbital Angular Momentum): The s orbital has l = 0, so L = 0.
S (Spin Angular Momentum): One electron has spin s = 1/2. Since there's only one electron, the total spin S = 1/2.
J (Total Angular Momentum): J = |L + S| to |L - S| = 1/2.
Term Symbol: ²S1/2
b. p1
Electron Configuration: One electron in a p orbital.
L (Orbital Angular Momentum): The p orbital has l = 1, so L = 1.
S (Spin Angular Momentum): One electron has spin s = 1/2, so S = 1/2.
J (Total Angular Momentum): J = |L + S| to |L - S| = 3/2, 1/2.
Term Symbol: ²P3/2, ²P1/2
c. s1p1
Electron Configuration: One electron in an s orbital and one in a p orbital.
L (Orbital Angular Momentum): L = |l1 + l2| to |l1 - l2| = 1 (since l1 = 0 for s and l2 = 1 for p).
S (Spin Angular Momentum): Two electrons, each with spin s = 1/2. S can be 0 (antiparallel spins) or 1 (parallel spins).
J (Total Angular Momentum):

For S = 0: J = L = 1, giving the term symbol ¹P1

For S = 1: J = 0, 1, 2, giving the term symbols ³P0, ³P1, ³P2
Explanation of Term Symbols:
Multiplicity: The superscript before the letter indicates the multiplicity, which is 2S + 1. This represents the number of possible spin states. For example, ² means 2(1/2) + 1 = 2, which is a doublet state.
L (Orbital Angular Momentum): The letter represents the value of L: S (L = 0), P (L = 1), D (L = 2), F (L = 3), etc.
J (Total Angular Momentum): The subscript represents the value of J.


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