p40_057 - r ) dr . Setting n = 3 and replacing a in the...

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57. The radial probability function for the ground state of hydrogen is P ( r )=(4 r 2 /a 3 ) e 2 r/a ,whe re a is the Bohr radius. (See Eq. 40-31.) The integral table of Appendix E may be used to evaluate the integral r avg = R 0 rP
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Unformatted text preview: r ) dr . Setting n = 3 and replacing a in the given formula with 2 /a (and x with r ), we obtain r avg = Z rP ( r ) dr = 4 a 3 Z r 3 e 2 r/a dr = 4 a 3 6 (2 /a ) 4 = 1 . 5 a ....
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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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