What is the ground electronic configuration of phosphorous? How many microstates does this configuration contain? Write...

What is the ground electronic configuration of phosphorous? How many microstates does this configuration contain? Write the spin arrow diagram for phosphorus. Derive the term and state symbols. How many microstates does each state contain? Which state is the ground state?

Expert Solution

Ans- atomic number of phosphorous is 15

₁₅P= 1s² 2s² 2p⁶ 3s² 3p³ (electronic configuration)

For p3 : L = 0, S = 3/2, the term 4 S has J = 3/2 only (|L+S| = |L–S|). Therefore, the ground state is 4 S_3/2.

, For a p3 configuration there are three terms: 4 S, 2 D, and 2 P. The J values for each of these are determined below. For 4 S: L = 0, S = 3/2 ; Because J = L + S, L + S – 1, …|L – S|, the quantum number J can only be 3/2 and there is a single state for 4 S: 4 S_3/2 For 2 D: L = 2, S = 1/2. Possible J values are 5/2 and 3/2, and the two possible states are 2 D_5/2 and 2 D_3/2. For 2 P: L = 1, S = 1/2. Possible J values are 3/2 and 1/2, with states 2 P_3/2 and 2 P_1/2. The lowest energy state is 4 S_3/2 (highest multiplicity). 2 D_5/2 and 2 D_3/2 are next, at 19233.18 and 19224.46 cm–1, and 2 P_3/2 and 2 P_1/2 are the highest energy at 28838.92 and 28839.31 cm–1.

queen_honey_blossom answered 1 year ago

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