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-rw-r--r--source/know/concept/clausius-mossotti-relation/index.md6
1 files changed, 4 insertions, 2 deletions
diff --git a/source/know/concept/clausius-mossotti-relation/index.md b/source/know/concept/clausius-mossotti-relation/index.md
index a0f4916..03bdcac 100644
--- a/source/know/concept/clausius-mossotti-relation/index.md
+++ b/source/know/concept/clausius-mossotti-relation/index.md
@@ -55,7 +55,8 @@ the dipole term will be dominant in that case, given by:
$$\begin{aligned}
V_i(\vb{r})
- \approx \frac{1}{4 \pi \varepsilon_0} \frac{1}{|\vb{r}|^2} \int \rho_i(\vb{r}') \: |\vb{r}'| \cos{\theta} \dd{\vb{r}'}
+ \approx \frac{1}{4 \pi \varepsilon_0} \frac{1}{|\vb{r}|^2}
+ \int_{-\infty}^\infty \rho_i(\vb{r}') \: |\vb{r}'| \cos{\theta} \dd{\vb{r}'}
\end{aligned}$$
Where $$\theta$$ is the angle between $$\vb{r}$$ and $$\vb{r}'$$,
@@ -64,7 +65,8 @@ with the unit vector $$\vu{r}$$, normalized from $$\vb{r}$$:
$$\begin{aligned}
V_i(\vb{r})
- = \frac{1}{4 \pi \varepsilon_0} \frac{1}{|\vb{r}|^2} \: \vu{r} \cdot \!\!\int \vb{r}' \rho_i(\vb{r}') \dd{\vb{r}'}
+ = \frac{1}{4 \pi \varepsilon_0} \frac{1}{|\vb{r}|^2}
+ \: \vu{r} \cdot \!\!\int_{-\infty}^\infty \vb{r}' \rho_i(\vb{r}') \dd{\vb{r}'}
\end{aligned}$$
The integral is a more general definition of the dipole moment $$\vb{p}_i$$.