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\alpha_- = R_2^A - R_2^B + k_{\textrm{AB}} - k_{\textrm{BA}} \\\zeta = 2 \Delta \omega \, (R_2^A - R_2^B +k_{\textrm{AB}} - p_A k_{\textrm{EXBA}} ) \\\phantom{\zeta} = 2 \Delta \omega \, (R_2^A - R_2^B + p_B k_{\textrm{EX}} - p_A k_{\textrm{EX}}) \\\phantom{\zeta} = 2 \Delta \omega \alpha_- \\\Psi = (R_2^A - R_2^B + p_B k_{\textrm{EX}} - p_A k_{\textrm{EX}} )^2 - \Delta \omega^2 + 4 p_A p_B k_{\textrm{EXex}})^2 \\\phantom{\Psi} = \alpha_-^2 - \Delta \omega^2 + 4 p_A p_B k_{\textrm{ex}}^2 \\\eta_+ = \frac{1}{2\sqrt{2}\, \nu_{\textrm{cpmg}}}\sqrt{+\Psi + \sqrt{\Psi^2 + \zeta^2}} \\\eta_- = \frac{1}{2\sqrt{2}\, \nu_{\textrm{cpmg}}}\sqrt{-\Psi + \sqrt{\Psi^2 + \zeta^2}} \\
D_+=\frac{1}{2}\left(1+\frac{\Psi+2\Delta \omega^2}{\sqrt{\Psi^2+\zeta^2}} \right) \\
D_-=\frac{1}{2}\left(-1+\frac{\Psi+2\Delta \omega^2}{\sqrt{\Psi^2+\zeta^2}} \right)
== Parameters ==
The CR72 full model has the parameters {$R_{2A{:R2Azero}}^0$, $R_{2B{:R2Bzero}}^0$, $...$, $p_A${{:pA}}, $\Delta\omega${{:Deltaomega}}, $k_{ex{:kex}}$}.
== Reference ==
The reference for the CR72 full model is:
* Carver, J. and Richards, R. (1972). General 2-site solution for chemical exchange produced dependence of T2 upon Carr-Purcell pulse separation. ''J. Magn. Reson.'', '''6'''(1), 89-105. ([http{{#lst://dx.doi.org/10.1016/0022-2364(72)90090-X 10.1016/0022-2364(72)90090-X]).Citations|CarverRichards72}}
== Related models ==
The [[Relaxation dispersion citation for relax|implementation of the CR72 full model in relax]] can be seen in the:
* [http://www.nmr-relax.com/manual/full_CR72_2_site_CPMG_modelThe_full_CR72_2_site_CPMG_model.html relax manual],
* [http://www.nmr-relax.com/api/3.1/lib.dispersion.cr72-module.html API documentation],
* [http://www.nmr-relax.com/analyses/relaxation_dispersion.html#CR72_full relaxation dispersion page of the relax website].
== See also ==
[[Category:Models]][[Category:Dispersion models]][[Category:Relaxation_dispersionanalysis]]
