Skip to content
Snippets Groups Projects
Verified Commit a42e46a5 authored by Anton Akhmerov's avatar Anton Akhmerov
Browse files

math formatting

parent 6fab435a
No related branches found
No related tags found
No related merge requests found
Pipeline #87742 passed
......@@ -314,12 +314,9 @@ The other atom then develops a dipole moment $\mathbf{p_2} = \chi \mathbf{E}$ wi
The potential energy between between the two dipoles is
\begin{align}
U(r) &= \frac{-|\mathbf{p_1}||\mathbf{p_2}|}{4\pi\varepsilon_0 r^3}\\
&= \frac{-|\mathbf{p_1}| \chi \mathbf{E}}{4\pi\varepsilon_0 r^3}\\
&= \frac{-|\mathbf{p_1}|^2 \chi}{(4\pi\varepsilon_0 r^3)^2}\\
&\propto \frac{1}{r^6}.
\end{align}
$$
U(r) = \frac{-|\mathbf{p_1}||\mathbf{p_2}|}{4\pi\varepsilon_0 r^3} = \frac{-|\mathbf{p_1}| \chi \mathbf{E}}{4\pi\varepsilon_0 r^3} = \frac{-|\mathbf{p_1}|^2 \chi}{(4\pi\varepsilon_0 r^3)^2} \propto \frac{1}{r^6}.
$$
The dipole attraction is much weaker than the covalent bonds but drops slower with increasing distance.
......
0% Loading or .
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment