Table I.

The top table shows fit parameter of $\langle J(0)\cdot J(t)\rangle$ according f_jj(t). The bottom table shows the corresponding fit values of $\langle \Delta M_j^2\left(t\right)\rangle$ according to f_ΔMJ²(t). The values of A_k in brackets in the bottom table are derived via $A_k={\tilde{A}}_k/2{\tau }_k^2.$

$\langle J(0)\cdot J(t)\rangle$		$f_{\text{JJ}}\left(t\right)={\displaystyle \sum _k{A}_k\text{cos}\left({\omega }_{k}t+{\delta }_k\right)\text{exp}\left(-t/{\tau }_k\right)}$
k	$A_k\left[e^2{\text{Å}}^2{\text{ps}}^{-2}\right]$	τk [ps]	ωk [THz]	δk	ϑ0(0)
1	9052	0.123	17.732	-0.513	0.04
2	254800	0.167	0.04418	1.571	0.81
3	-11.84	3.52	0.00000	0.000	1.13
$\langle \Delta M_j^2\left(t\right)\rangle$		$f_{\Delta {\text{M}}_{\text{J}}{}^2}\left(t\right)=\left({\displaystyle \sum _k{\tilde{A}}_k\text{exp}\left(-t/{\tau }_k\right)-{\tilde{A}}_k}\right)+\tilde{\sigma }\cdot t$
k	$A_k\left[e^2{\text{Å}}^2{\text{ps}}^{-2}\right]$	${\tilde{A}}_k\left[e^2{\text{Å}}^2\right]$	τk [ps]	$\tilde{\sigma }/6V{k}_{B}T\left[\text{S}/\text{m}\right]$	ϑ0(0)
1+2	(-3306)	-291.589	0.210	0.16	1.12
3	(-12.77)	-314.655	3.51		1.22
4	(-0.141)	-1042.45	60.8		4.01