# Molecular dipole problem.

1. Jul 26, 2009

### K29

1. The problem statement, all variables and given/known data
Calculate the equilibrium distance between an electron and the HCl molecule. Assume the HCl molecule constitutes an electric dipole with an electric dipole moment of 6.3 * 10^-28 Cm (Coulomb metre) and that the dipole and atom are near the earth's surface.
The mass of the electron is 9.1 * 10^-31 kg. Assume that the distance between the H and Cl atom is much smaller than the distance between the electron and the Hcl molecule, (Hint:calculate the electric field due to the dipole first)

My problem is just getting started
2. Relevant equations

E = kp/(z^3) wherek is the electrostatic constant, p is the electric dipole moment, and z is the distance from the centre of the dipole to a distant point from the dipole

3. The attempt at a solution
My problem is just getting started. But here are my thoughts
First I am thinking I should use the above equation, however is z that which I should be solving(this equilibrium distance)?
I am a bit confused as to how this system functions. The H and Cl atoms must be of opposite charge to create the dipole. But is the electron in question the one giving the Cl the negative charge, (because it 'hangs around' the Cl more)? And as for this 'equilibrium distance': does the electron weave between the H and Cl in a figure-8 motion? Or does it spin around them in a circle, which would lead me to believe that gravitational forces are going to play a role here too.
Or does Heisenburg's uncertainty principle suggest I should ignore the specific motion of the electron and focus on somehow calculating z, by simply putting the electron at a point in line with the dipoles axis. If gravity is involved here should I not have been given the mass of the HCl molecule? What is keeping the electron in {orbit??} around the atom anyway?
If I do need to calculate z then I will need another equation... :?

I would appreciate any help in understanding and solving the problem