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Name:_________________
Ch 301
UT EID: _______________
Due Dates:
September 18 (53760)
Bonus Problem Set 3
September 19 (53750)
Instructor:
B. A. Rowland
Score:
______
of 50
.
For hydrogen atoms, the wave function for the state
n
= 3,
l
= 0,
m
l
= 0 is
( 29
3
2
2
3
300
1
1
27
18
2
81 3
o
e
a
σ
ψ
π

=  +
where
=
r
/
a
o
and
a
o
is the Bohr radius (5.29 x 10
11
m).
1. Calculate the position of the nodes for this wave function (i.e. find the numerical
values of
r
in meters).
2.
Prove that the probability of finding the electron at these two nodes is indeed zero.
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This note was uploaded on 09/15/2008 for the course CH 301 taught by Professor Fakhreddine/lyon during the Spring '07 term at University of Texas at Austin.
 Spring '07
 Fakhreddine/Lyon
 Atom

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