Best practice#

Force field#

Force fields are usually parametrized based on thermodynamic quantities only. However, NMR relaxation quantities depend on both structural and dynamical quantities.

Simulation precision#

NMR relaxation rate measurements are extremely sensitive to the precision of the simulation. The cut-off, for instance, was noted to have a slight impact on \(R_1\).

Box size#

NMR relaxation measurements are not extremely sensitive to the box size, however, a small effect of the box size can be see, particularly when reaching extremely small boxes:

NMR results obtained from the LAMMPS simulation of water NMR results obtained from the LAMMPS simulation of water

Looking at the correlation functions, a strong effect of the box size can be see on the inter-molecular contribution, while almost no effect is seen on the intra-molecular contribution:

NMR results obtained from the LAMMPS simulation of water NMR results obtained from the LAMMPS simulation of water

Despite the strongly modified correlation functions obtained for small boxes, the relaxation rate is not so affected:

NMR results obtained from the LAMMPS simulation of water NMR results obtained from the LAMMPS simulation of water

Simulation duration#

For comparison with experimental value, the total duration of the simulation must either be larger than \(\tau_c\), where \(\tau_c\) is the longest characteristic motion in the system, or be low enough to match the actual Larmor frequency used in experiments.

Dumping frequency#

Dumping period must be smaller than the smaller correlation time of the system, or a significative error on \(R_1\) will be connected.

For bulk system: check isotropy#

Although generally true for bulk systems, as showed for glycerol [3], it can be worth ensuring that the relation

\[\frac{1}{6} G^{(0)} (t) = G^{(1)} (t) = \frac{1}{4} G^{(2)} (t)\]

actually stands. For a system of bulk water, the superimposition is clearly verified:

#todo : superimpose water, PEG-water, and slit silica on the same graph

NMR results obtained from the LAMMPS simulation of water NMR results obtained from the LAMMPS simulation of water

If not, all three correlation functions must be calculated.