0000000000919448
AUTHOR
A. Tabard
Optimal control of the inversion of two spins in Nuclear Magnetic Resonance
International audience; We investigate the optimal control of the inversion of two spin 1/2 particles in Nuclear Magnetic Resonance. The two spins, which differ by their resonance offset, are controlled by the same radio frequency magnetic field. Using the Pontryagin Maximum Principle, we compute the optimal control sequence which allows to reach the target state in a given time, while minimizing the energy of the magnetic field. A comparison with the time-optimal solution for bounded control amplitude realizing the same control in the same time is made. An experimental illustration is done using techniques of Nuclear Magnetic Resonance.
CCDC 176983: Experimental Crystal Structure Determination
Related Article: C.Jubert, A.Mohamadou, C.Gerard, S.Brandes, A.Tabard, J.-P.Barbier|2002|J.Chem.Soc.,Dalton Trans.||2660|doi:10.1039/b111614b
CCDC 176984: Experimental Crystal Structure Determination
Related Article: C.Jubert, A.Mohamadou, C.Gerard, S.Brandes, A.Tabard, J.-P.Barbier|2002|J.Chem.Soc.,Dalton Trans.||2660|doi:10.1039/b111614b
CCDC 183431: Experimental Crystal Structure Determination
Related Article: R.Weiss, J.Fischer, V.Bulach, V.Schunemann, M.Gerdan, A.X.Trautwein, J.A.Shelnutt, C.P.Gros, A.Tabard, R.Guilard|2002|Inorg.Chim.Acta|337|223|doi:10.1016/S0020-1693(02)01087-3
CCDC 257240: Experimental Crystal Structure Determination
Related Article: R.Guilard, C.P.Gros, J.-M.Barbe, E.Espinosa, F.Jerome, A.Tabard, J.-M.Latour, Jianguo Shao, Zhongping Ou, K.M.Kadish|2004|Inorg.Chem.|43|7441|doi:10.1021/ic049651c
CCDC 244990: Experimental Crystal Structure Determination
Related Article: C.Gerard, A.Mohamadou, J.Marrot, S.Brandes, A.Tabard|2005|Helv.Chim.Acta|88|2397|doi:10.1002/hlca.200590176
CCDC 257242: Experimental Crystal Structure Determination
Related Article: R.Guilard, C.P.Gros, J.-M.Barbe, E.Espinosa, F.Jerome, A.Tabard, J.-M.Latour, Jianguo Shao, Zhongping Ou, K.M.Kadish|2004|Inorg.Chem.|43|7441|doi:10.1021/ic049651c
CCDC 176982: Experimental Crystal Structure Determination
Related Article: C.Jubert, A.Mohamadou, C.Gerard, S.Brandes, A.Tabard, J.-P.Barbier|2002|J.Chem.Soc.,Dalton Trans.||2660|doi:10.1039/b111614b
CCDC 244991: Experimental Crystal Structure Determination
Related Article: C.Gerard, A.Mohamadou, J.Marrot, S.Brandes, A.Tabard|2005|Helv.Chim.Acta|88|2397|doi:10.1002/hlca.200590176
CCDC 257241: Experimental Crystal Structure Determination
Related Article: R.Guilard, C.P.Gros, J.-M.Barbe, E.Espinosa, F.Jerome, A.Tabard, J.-M.Latour, Jianguo Shao, Zhongping Ou, K.M.Kadish|2004|Inorg.Chem.|43|7441|doi:10.1021/ic049651c
CCDC 175783: Experimental Crystal Structure Determination
Related Article: E.Bill, V.Schunemann, A.X.Trautwein, R.Weiss, J.Fischer, A.Tabard, R.Guilard|2002|Inorg.Chim.Acta|339|420|doi:10.1016/S0020-1693(02)01038-1