Quantum Mechanics and Atomic Orbitals (Sections)(a) What

Chapter 3, Problem 59E

(choose chapter or problem)

(a) What are the similarities of and differences between the 1s and 2s orbitals of the hydrogen atom?

(b) In what sense does a 2p orbital have directional character? Compare the “directional” characteristics of the \(p_x\) and \(d_{x^2 - y^2}\) orbitals. (That is, in what direction or region of space is the electron density concentrated?)

(c) What can you say about the average distance from the nucleus of an electron in a 2s orbital as compared with a 3s orbital?

(d) For the hydrogen atom, list the following orbitals in order of increasing energy (that is, most stable ones first): 4f, 6s, 3d, 1s, 2p.

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