0000000000919447
AUTHOR
M. Picquet
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 766062: Experimental Crystal Structure Determination
Related Article: F.Pelletier, V.Comte, A.Massard, M.Wenzel, S.Toulot, P.Richard, M.Picquet, P.Le Gendre, O.Zava, F.Edafe, A.Casini, P.J.Dyson|2010|J.Med.Chem.|53|6923|doi:10.1021/jm1004804
CCDC 834840: Experimental Crystal Structure Determination
Related Article: A.Massard, V.Rampazzi, A.Perrier, E.Bodio, M.Picquet, P.Richard, J.-C.Hierso, P.Le Gendre|2012|Organometallics|31|947|doi:10.1021/om200999n
CCDC 885458: Experimental Crystal Structure Determination
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CCDC 649689: Experimental Crystal Structure Determination
Related Article: M.Azouri, J.Andrieu, M.Picquet, P.Richard, B.Hanquet, I.Tkatchenko|2007|Eur.J.Inorg.Chem.||4877|doi:10.1002/ejic.200700590
CCDC 855179: Experimental Crystal Structure Determination
Related Article: M.Wenzel, B.Bertrand, M.-J.Eymin, V.Comte, J.A.Harvey, P.Richard, M.Groessl, O.Zava, H.Amrouche, P.D.Harvey, P.Le Gendre, M.Picquet, A.Casini|2011|Inorg.Chem.|50|9472|doi:10.1021/ic201155y
CCDC 702718: Experimental Crystal Structure Determination
Related Article: M.Azouri, J.Andrieu, M.Picquet, H.Cattey|2009|Inorg.Chem.|48|1236|doi:10.1021/ic801870w
CCDC 834837: Experimental Crystal Structure Determination
Related Article: A.Massard, V.Rampazzi, A.Perrier, E.Bodio, M.Picquet, P.Richard, J.-C.Hierso, P.Le Gendre|2012|Organometallics|31|947|doi:10.1021/om200999n
CCDC 834839: Experimental Crystal Structure Determination
Related Article: A.Massard, V.Rampazzi, A.Perrier, E.Bodio, M.Picquet, P.Richard, J.-C.Hierso, P.Le Gendre|2012|Organometallics|31|947|doi:10.1021/om200999n
CCDC 855180: Experimental Crystal Structure Determination
Related Article: M.Wenzel, B.Bertrand, M.-J.Eymin, V.Comte, J.A.Harvey, P.Richard, M.Groessl, O.Zava, H.Amrouche, P.D.Harvey, P.Le Gendre, M.Picquet, A.Casini|2011|Inorg.Chem.|50|9472|doi:10.1021/ic201155y
CCDC 834838: Experimental Crystal Structure Determination
Related Article: A.Massard, V.Rampazzi, A.Perrier, E.Bodio, M.Picquet, P.Richard, J.-C.Hierso, P.Le Gendre|2012|Organometallics|31|947|doi:10.1021/om200999n
CCDC 166284: Experimental Crystal Structure Determination
Related Article: P.Le Gendre, M.Picquet, P.Richard, C.Moise|2002|J.Organomet.Chem.|643|231|doi:10.1016/S0022-328X(01)01248-7
CCDC 834836: Experimental Crystal Structure Determination
Related Article: A.Massard, V.Rampazzi, A.Perrier, E.Bodio, M.Picquet, P.Richard, J.-C.Hierso, P.Le Gendre|2012|Organometallics|31|947|doi:10.1021/om200999n
CCDC 766061: Experimental Crystal Structure Determination
Related Article: F.Pelletier, V.Comte, A.Massard, M.Wenzel, S.Toulot, P.Richard, M.Picquet, P.Le Gendre, O.Zava, F.Edafe, A.Casini, P.J.Dyson|2010|J.Med.Chem.|53|6923|doi:10.1021/jm1004804
CCDC 702719: Experimental Crystal Structure Determination
Related Article: M.Azouri, J.Andrieu, M.Picquet, H.Cattey|2009|Inorg.Chem.|48|1236|doi:10.1021/ic801870w
CCDC 808224: Experimental Crystal Structure Determination
Related Article: L.Harmand, S.Saleh, J.Andrieu, H.Cattey, M.Picquet, J.-C.Hierso|2012|The Open Organic Chemistry Journal|6|1|doi:10.2174/1874095201206010001