18.4 fitting the energy levels

We minimise the $\chi^2$ $$\chi^2= \sum_i \frac{( \Delta E_2^{predicted} -\Delta E_2^{latt})^2}{\sigma^2}$$

$$\begin{gather} \chi^2/d.o.f.=1.89704 \\ P[0]=-0.15394\pm (0.0023) \\ P[1]=-3.36086\pm (0.2) \\ \end{gather}$$ { $$\begin{gather} C=\begin{pmatrix} 5.5e-06& 0.784\\ 0.784& 0.0413\\ \end{pmatrix} \end{gather}$$ }

18.4.1 fitting the energy levels 1 level 1 par

We minimise the $\chi^2$ $$\chi^2= \sum_i \frac{( \Delta E_2^{predicted} -\Delta E_2^{latt})^2}{\sigma^2}\\ k \cot{\delta}=\frac{1}{a_0}$$

$$\begin{gather} \chi^2/d.o.f.=2.56996 \\ P[0]=-0.156203\pm (0.0029) \\ \end{gather}$$ { $$\begin{gather} C=\begin{pmatrix} 1\\ \end{pmatrix} \end{gather}$$ }