*θ*_{j}-*θ*_{k}partial derivative*θ*_{j}-*ρ*_{ex}partial derivative*θ*_{j}-*Δσ*partial derivative*θ*_{j}-*r*partial derivative*ρ*_{ex}-*ρ*_{ex}partial derivative*ρ*_{ex}-*Δσ*partial derivative*ρ*_{ex}-*r*partial derivative-
*Δσ*-*Δσ*partial derivative -
*Δσ*-*r*partial derivative *r*-*r*partial derivative

Again different second partial derivatives with respect to the spectral density function parameters *θ*_{j} and *θ*_{k}, the chemical exchange parameter *ρ*_{ex}, CSA parameter
*Δσ*, and bond length parameter *r*.
These second partial derivatives are the components of the
R_{i}'(*θ*) Hessian matrices.

The second partial derivatives of the relaxation equations with respect to the spectral density function parameters *θ*_{j} and *θ*_{k} are

The second partial derivatives of the relaxation equations with respect to the spectral density function parameter *θ*_{j} and the chemical exchange parameter *ρ*_{ex} are

The second partial derivatives of the relaxation equations with respect to the spectral density function parameter *θ*_{j} and the CSA parameter
*Δσ* are

The second partial derivatives of the relaxation equations with respect to the spectral density function parameter *θ*_{j} and the bond length parameter *r* are

The second partial derivatives of the relaxation equations with respect to the chemical exchange parameter *ρ*_{ex} twice are

The second partial derivatives of the relaxation equations with respect to the chemical exchange parameter *ρ*_{ex} and the CSA parameter
*Δσ* are

The second partial derivatives of the relaxation equations with respect to the chemical exchange parameter *ρ*_{ex} and the bond length parameter *r* are

The second partial derivatives of the relaxation equations with respect to the CSA parameter
*Δσ* twice are

The second partial derivatives of the relaxation equations with respect to the CSA parameter
*Δσ* and the bond length parameter *r* are

The second partial derivatives of the relaxation equations with respect to the bond length parameter *r* twice are

The relax user manual (PDF), created 2019-03-08.