The NS 3-site linear R

This is the numerical model for 3-site linear exchange using 3D magnetisation vectors.
The assumption that
k_{AC} =
k_{CA} = 0 has been made to linearise this model.
It is selected by setting the model to `NS R1rho 3-site linear'.
The constraints
*p*_{A} > *p*_{B} and
*p*_{A} > *p*_{C} is used to decrease the size of the optimisation space, as both sides of the limit are mirror image spaces.
To simplify the optimisation space for the model as in the `NS
R_{1ρ} 3-site' model, the assumptions
R_{2A}^{0} =
R_{2B}^{0} =
R_{2C}^{0} =
R_{2}^{0} and
R_{1A} =
R_{1B} =
R_{1C} =
R_{1} have been made.

The equations are the same as for the `NS R1rho 3-site' model except for the relaxation evolution matrix which simplifies to

R |
= | |

+ | ||

+ | ||

+ | ||

+ , | (11.89) |

where
*δ*_{A, B, C} are defined as in Equations 11.78a and 11.78b.
For the model, the assumptions
R_{1ρA}' =
R_{1ρB}' =
R_{1ρC}' =
R_{1ρ}' and
R_{1A} =
R_{1B} =
R_{1C} =
R_{1} have been made.

More information about the NS R1rho 3-site linear model is available from:

- the relax wiki at http://wiki.nmr-relax.com/NS_R1rho_3-site_linear,
- the API documentation at http://www.nmr-relax.com/api/3.2/lib.dispersion.ns_r1rho_3site-module.html,
- the relaxation dispersion page of the relax website at http://www.nmr-relax.com/analyses/relaxation_dispersion.html#NS_R1rho_3-site_linear.

The relax user manual (PDF), created 2019-06-14.