P32_057

# P32_057 - E 2 so its m l must be equal to 0. (b) The other...

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57. (a) The potential energy of the atom in association with the presence an external magnetic Feld ~ B ext is given by Eqs. 32-11 and 32-12: U = µ orb · ~ B ext = µ orb ,z B ext = m l µ B B ext . ±or level E 1 there is no change in energy as a result of the introduction of ~ B ext ,so U m l =0 , meaning that m l = 0 for this level. ±or level E 2 the single level splits into a triplet (i.e., three separate ones) in the presence of ~ B ext , meaning that there are three di²erent values of m l .T
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Unformatted text preview: E 2 so its m l must be equal to 0. (b) The other two in the triplet then correspond to m l = − 1 and m 1 = +1, respectively. (c) ±or any pair of adjacent levels in the triplet | ∆ m l | = 1. Thus, the spacing is given by ∆ U = | ∆( − m l µ B B ) | = | ∆ m l | µ B B = µ B B = ( 9 . 27 × 10 − 24 J / T ) (0 . 50 T) = 4 . 6 × 10 − 24 J which is equivalent to 2 . 9 × 10 − 5 eV....
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## This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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