Distorted orbital shell when E-field applied (Dielectrics)

[satchmo05]

Homework Statement

Є_r = 3.0, atomic density = 10²⁸ atoms/m³. The mag. of the E-field is 10,000 [V/m]. Two electrons in outer orbital shell will distort with an applied E-field. If both both electrons follow some orbital path as a pair, find spacing between center of nucleus and average location of electrons.

Homework Equations

Є_r = 1 + Χ_e
Є = Є_o*Є_r
P = Є_o*Χ_e*E

The Attempt at a Solution

If I solve for the magnitude of polarization, I come up with mag(P) = Є_o*Χ_e*mag(E). If so, I receive mag(P) = 1.771e^-7 [V/m]. If need be, the magnitude of the electric flux density is: mag(D) = Є*mag(E) = 2.66e^-7 [C/m²]. What is really throwing me off is the atomic density! I have no idea how to incorporate this it does not seem applicable with any of the formulas in my text. I am kind of confused by this problem, in general. I do not know how to get past my attempt above at working some of the variables.

I appreciate any help you may be able to give me, and I thank you sincerely in advance!

 

[nickjer]

Electric polarization P is dipole moment per unit volume. You need to solve for the individual dipole moments. So you need to convert this "dipole moment per unit volume" to individual dipoles knowing the atomic density.

 

[satchmo05]

and then from there, I set the magnitude of P equal to Q*mag(d), where Q is equal to the charge of an electron. Is this correct?

 

[nickjer]

First find the dipole per atom before you start plugging in charges and distance.

 

[satchmo05]

Alrighty, thank you much!