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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
ml = 0, ±1, ... ±l: "magnetic" or "zcomponent of angular momentum"
quantum number. The z-projection of the
orbital angular momentum has magnitude
The azimuthal direction of the angular
momentum L is ar...
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