Calculating The Magnetic Moment
In the shell model, the magnetic moment of a nucleon of total angular momentum j, orbital angular momentum l and spin s, is given by
By projecting with the total angular momentum j we get
has contributions both from the orbital angular momentum and the spin, with different coefficients g(l) and g(s):
by substituting this back to the formula above and rewriting
For a single nucleon s =1/2. For we get
and for
Read more about this topic: Nuclear Magnetic Moment
Famous quotes containing the words calculating the, calculating, magnetic and/or moment:
“What our children have to fear is not the cars on the highways of tomorrow but our own pleasure in calculating the most elegant parameters of their deaths.”
—J.G. (James Graham)
“Sin in this country has been always said to be rather calculating than impulsive.”
—Frank Moore Colby (18651925)
“We are in great haste to construct a magnetic telegraph from Maine to Texas; but Maine and Texas, it may be, have nothing important to communicate.”
—Henry David Thoreau (18171862)
“He is the best man who, when making his plans, fears and reflects on everything that can happen to him, but in the moment of action is bold.”
—Herodotus (c. 484424 B.C.)