- #1

happyparticle

- 400

- 20

- Homework Statement
- Difference between average position of electron and average separation

- Relevant Equations
- ##\langle r \rangle = \int_0^{\infty} \int_0^{\pi} \int_0^{2 \pi} \Psi^* \Psi r^2 sin \theta dr d\theta d \phi##

Hi,

I asked this question elsewhere, but I didn't understand the answer. It seems to be easy to understand, but for some reason I'm really confuse.

I'm not sure how to find the average position of an electron and the average separation of an electron and his proton in a hydrogen atom.

To be precise, I can find one but I'm not sure if this is the position or the distance between the electron and the proton.I thought that the average position of an electron was ##\langle r \rangle = \int_0^{\infty} \int_0^{\pi} \int_0^{2 \pi} \Psi^* \Psi r^2 sin \theta dr d\theta d \phi##.

Where ##\Psi = R(r)Y(\theta, \phi)##

However, after looking on the internet it seems like this is the average distance between de proton and the electron (the expected value of r). I thought it was the position of the electron since we cover all the space from 0 to ##\infty## and over all the angles.

If the above is the average separation between the electron and the proton what is the average position of the electron?

I asked this question elsewhere, but I didn't understand the answer. It seems to be easy to understand, but for some reason I'm really confuse.

I'm not sure how to find the average position of an electron and the average separation of an electron and his proton in a hydrogen atom.

To be precise, I can find one but I'm not sure if this is the position or the distance between the electron and the proton.I thought that the average position of an electron was ##\langle r \rangle = \int_0^{\infty} \int_0^{\pi} \int_0^{2 \pi} \Psi^* \Psi r^2 sin \theta dr d\theta d \phi##.

Where ##\Psi = R(r)Y(\theta, \phi)##

However, after looking on the internet it seems like this is the average distance between de proton and the electron (the expected value of r). I thought it was the position of the electron since we cover all the space from 0 to ##\infty## and over all the angles.

If the above is the average separation between the electron and the proton what is the average position of the electron?