• Support PF! Buy your school textbooks, materials and every day products Here!

Wave function of hydrogen in 2s state

  • #1

Homework Statement


Suppose that a hydrogen atom is in the 2s state. Taking r = a0, calculate value for [tex]\psi[/tex]2s(a0)

Homework Equations


I did spherical harmonics for l=0 ml=0 times the radial wavefunction for n=2 l=0. Got the same thing as the solution manual attached but when I started calculating I did not get the same final answer. I would just like someone else to punch in the numbers and see if they get the final answer in the book or perhaps something different, like I did.

The Attempt at a Solution


My final answer turned out to be 1.57*10^14 m^(3/2)

My main question is how the author got e^(-1/2) over 4(2pi)^(1/2) = 0.380, see underlined terms in pic (latex is not working for me today)
 

Attachments

Answers and Replies

  • #2
Redbelly98
Staff Emeritus
Science Advisor
Homework Helper
Insights Author
12,098
129
That's weird, I agree with your answer.
 
  • #3
Phew, that's a relief. I thought I was going crazy. What's funny is I have both the second and third edition of this book and they have that same answer.

Thanks for your help.
 

Related Threads for: Wave function of hydrogen in 2s state

Replies
4
Views
10K
Replies
4
Views
2K
Replies
1
Views
3K
Replies
1
Views
802
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
886
Replies
3
Views
7K
Top