The expectation value, where the integrals over and have already been evaluated and included in this expression. (a) Determine as a multiple of ao for this state. In this evaluation, you may find this integral helpful: rne-Br dr= 0 00 for a hydrogen atom in the 2pz orbital can be written 12 -rla, 0 <*>= 24 3 d ²³ (2) n! Bn+1

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The expectation value, <r), for a hydrogen atom in the 2pz orbital can be written
<r)=
√°
0
1
n+1
24a 3
0
3
dr r³
a
0
2 -rla
0
e
where the integrals over and have already been evaluated and included in this expression.
(a) Determine <r) as a multiple of ao for this state. In this evaluation, you may find this integral helpful:
n!
50⁰ rne-Br dr=
0
Transcribed Image Text:The expectation value, <r), for a hydrogen atom in the 2pz orbital can be written <r)= √° 0 1 n+1 24a 3 0 3 dr r³ a 0 2 -rla 0 e where the integrals over and have already been evaluated and included in this expression. (a) Determine <r) as a multiple of ao for this state. In this evaluation, you may find this integral helpful: n! 50⁰ rne-Br dr= 0
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