Find the spectroscopic terms originating from the following configurations (two

Question

Find the spectroscopic terms originating from the following configurations (two electrons in two non-equivalent orbitals):

1s2s

1s3s

2p3p

2s3d

Find the spectroscopic term originating from the ground states configuration of the sodium atom and the boron atom.

Find the spin-orbit energy levels of hydrogen with electron in 2p and 3d.

Write the Hamilonian for the H2 and H+2 molecules and explain each term. What terms differ between these two systems?

Use normalization to identify the constant for the LCAO approximation for the two molecular orbitals discussed in class

+=c1A+c2B

and

=c1A+c2B

with is the 1s atomic orbital on the A and B nuclei, respectively.

+ and are called the bonding and antibonding molecular orbitals.Which is higher in energy based on the nature of the electron density distribution? Which molecular orbital has a node and where?

Explanation / Answer

I will answer the first 3 questions. The rest of your questions, post them in a new question thread because honestly I have some doubts there.

Question 1

Question 2.

Na: [1s22s22p6]3s 2S; B: [1s22s2]2p1 2P

Question 3.

2p configuration corresponds to the term 2P (L=1, S=½). The energy level corresponds to J=1-½, 1+½ i.e. 2P1/2 and 2P3/2. For the 3d configuration the term is 2D and the energy levels are 2D3/2 and 2D5/2

Hope this helps.

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