CHEM 1A Chapter Notes - Chapter 1: Magnetic Quantum Number, Wave Function
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3 quantum numbers used to label; each wavefunction: n: related to size and energy of the orbital, l: related to shape, ml: related to orientation in space. *in a one-electron atom, all atomic orbitals with the same value of n have the same energy and are said to belong to the same shell of the atom. Orbital angular momentum quantum number l l = (cid:1004), (cid:1005), (cid:1006), , n-1: there are n different values of l for a given value of n, ex. If n=3, l can be 0, 1, or 2. As l increases, orbital angular momentum (rate at which the electron circulates the nucleus) also increases: electrons in s-orbitals have 0 orbital angular momentum (bc l=0) Degenerate: orbitals of a shell in a hydrogen atom all have the same energy: degeneracy is only true for only hydrogen atoms and one-electron ions. Ml = l, l-(cid:1005), (cid:1004), , -l.