The correlation time Hessians of the ellipsoid

τ_m - τ_m partial derivative

The second partial derivatives with respect to the geometric parameter τ_m twice are

$\begin{subequations}\begin{align} \frac{\partial^2 \tau_{-2}}{{\partial \tau_m}^... ...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-2}. \end{align}\end{subequations}$

τ_m - $\mathfrak{D}_a$ partial derivative

The second partial derivatives with respect to the geometric parameters τ_m and $\mathfrak{D}_a$ are

$\begin{subequations}\begin{align} \frac{\partial^2 \tau_{-2}}{\partial \tau_m \c... ...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-3}. \end{align}\end{subequations}$

τ_m - $\mathfrak{D}_r$ partial derivative

The second partial derivatives with respect to the geometric parameters τ_m and $\mathfrak{D}_r$ are

$\begin{subequations}\begin{align} \frac{\partial^2 \tau_{-2}}{\partial \tau_m \c... ...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-3}. \end{align}\end{subequations}$

$\mathfrak{D}_a$ - $\mathfrak{D}_a$ partial derivative

The second partial derivatives with respect to the geometric parameter $\mathfrak{D}_a$ twice are

$\begin{subequations}\begin{align} \frac{\partial^2 \tau_{-2}}{{\partial \mathfra... ...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-3}. \end{align}\end{subequations}$

$\mathfrak{D}_a$ - $\mathfrak{D}_r$ partial derivative

The second partial derivatives with respect to the geometric parameters $\mathfrak{D}_a$ and $\mathfrak{D}_r$ are

$\begin{subequations}\begin{align} \frac{\partial^2 \tau_{-2}}{\partial \mathfrak... ...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-2}. \end{align}\end{subequations}$

$\mathfrak{D}_r$ - $\mathfrak{D}_r$ partial derivative

The second partial derivatives with respect to the geometric parameter $\mathfrak{D}_r$ twice are

$\begin{subequations}\begin{align} \frac{\partial^2 \tau_{-2}}{{\partial \mathfra... ...frak{D}_{iso} + 2\mathfrak{D}_a\mathfrak{R})^{-2}. \end{align}\end{subequations}$

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