228s13-l17

as an s p d f g h state 2 6 12 20 or l

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Unformatted text preview: ve functions n=1 We refer to the n=1, 2, 3... sets of states as the K, L, M, N, ... shells. Monday, April 1, 2013 The Orbital Angular Momentum Quantum Number l = 0, 1, ... n-1: (Or if you fix l, then n = l, l+1, l+2, ...) Formally, the orbital angular momentum in quantum mechanics is not actually lħ, but is rather L = [l(l+1)]½ħ. But we commonly refer to: l= 0 1 2 3 4 5 ... as an s p d f g h .... state √2 √6 √12 √20 (or L/ħ = 0 √30) and say the orbital angular momentum is quantized to integral multiples of ħ. In the Bohr model each value of n describes a circular orbit with a particle speed and radius and orbital angular momentum. With the S.E., each orbital (each particular value of n) has n different possible degenerate orbital angular momenta states. Monday, April 1, 2013 The Magnetic Quantum Number ml = 0, ±1, ... ±l: "magnetic" or "zcomponent of angular momentum" quantum number. The z-projection of the orbital angular momentum has magnitude mlħ. The azimuthal direction of the angular momentum L is ar...
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