This models how one can break a complex problem into parts and thereby make it less daunting. Additionally, I think breaking this problem into parts can reduce the likelihood of mathematical errors, and/or it can help you isolate where the errors may be!
Screening is a tricky thing. It is actually a way of including electron-electron interactions in a partial and not so rigorous manner. In depends on the situation. In a graphene lattice the proximity of nearby carbon atoms is, I believe, much more important than "screening" considerations. In one electron theory the 2s and 2p states are fundamentally degenerate.
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