Theaveragedistanceislargerthana0sincethedistribuonisas

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Unformatted text preview: y 3 exp ( −2 y ) dy = 0 ∫ y 3 exp ( −α y ) dy Z0 Z0 ∞ 4 a0 ⎛ ∂ 3 ⎞ 4 a0 ⎛ ∂ 3 ⎞ ⎡ exp ( −α y ) ⎤ = − exp ( −α y ) dy = − ⎥ Z ⎜ ∂α 3 ⎟ ∫ Z ⎜ ∂α 3 ⎟ ⎢ −α ⎝ ⎠0 ⎝ ⎠⎣ ⎦0 ∞ 4 a0 ⎛ ∂ 3 ⎞ 1 24 a0 1 3a0 = − = = Z ⎜ ∂α 3 ⎟ α Z 23 2Z ⎝ ⎠ The
larger
is
the
charge
of
the
nucleus
(Z)
the
smaller
is
the
radius.
 The
average
distance
is
larger
than
a0
since
the
distribu.on
is
asymme...
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This document was uploaded on 03/04/2014 for the course CH 354L at University of Texas at Austin.

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