8. Plot the radial probability densities of 2p, 3p, and 4p orbitals in a single plot altogether. Explain their characteristic features and compare those to each other.
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A: Please refer explanation Explanation:If you have any questions please let me know.Thankyou
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- 8. For two angular momenta of quantum numbers j₁ and j2, there are (2j1 + 1) × (2j2 + 1) possible products |j1,m,)|j2,m,,) of eigenstates of the individual angular momenta. Count all the possible eigenstates lj,mj) of the total angular momentum, and show that there are exactly (2j1 + 1) × (2j2 + 1) such eigenstates.2. A wave function is a linear combination of 1s, 2s, and 3s orbitals: y(r) = N(0.25 y,s + 0.50W2, +0.30W). Find the normalization constant N, knowing that 1s, 2s, and 3s orbitals are normalized.3. For free particles in two dimensions, what is density of states (DOS) in low speed limit (=p²/2m), and in high speed limit (=pc)?