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Commit 2706d3db authored by Bowy La Riviere's avatar Bowy La Riviere
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changes x to u for consistency

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......@@ -29,9 +29,9 @@ $$
1. In 1D, there are two normal modes and in 3D there are 4 normal modes
2. $$
\begin{cases}
m \ddot{x}_1 & = -\kappa(x_1-x_2)\\
M \ddot{x}_2 & = -\kappa(2x_2-x_1-x_3)\\
m \ddot{x}_3 & = -\kappa(x_3-x_2)
m \ddot{u}_1 & = -\kappa(u_1-u_2)\\
M \ddot{u}_2 & = -\kappa(2u_2-u_1-u_3)\\
m \ddot{u}_3 & = -\kappa(u_3-u_2)
\end{cases}
$$
Where $m$ is the mass of the oxygen atoms and $M$ the mass of the carbon atom.
......@@ -39,7 +39,7 @@ Where $m$ is the mass of the oxygen atoms and $M$ the mass of the carbon atom.
\omega = \sqrt{\frac{\kappa}{m}}
$$
4. $$
\frac{x_1}{x_2} = -\frac{M}{2m}
\frac{u_1}{u_2} = -\frac{M}{2m}
$$
5. $$
\omega = \sqrt{\frac{\kappa(2m+M)}{mM}}
......
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