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5 Mar 2002: You will need the identitycos sin sin sinA B B A B A= ( ) ( )[ ]12 ]. E7-6. Consider the COSY spectrum for a three-spin system. Start withmagnetization just on spin 1. ... b) Show that this set of gradients also selects the pathway0–14–1.

5 Mar 2002: modulation in t1 can be expanded, using the formula,cos sin sin sinA B B A B A= ( ) ( ){ }12 to give. ... If two two-dimensional multiplets appear at (F1, F2)= (A B, A) and (A B, B) the implication is that the two spins A andB are coupled, as it is only

12 Mar 2002: S t B t t T( ) = ( ) ( ) ( )exp exp expi i Φ 2where Φ is the overall phase (= φ φsig rx ) and B is the amplitude. ... Re cos sinS B A Dω ω ω( )[ ] = ( ) ( )[ ]Φ ΦIn general this is a mixture of the absorption and dispersion lineshape.

23 Jul 2002: Fouriertransformation of S(t) gives the spectrum S(ω):. S B A Dω ω ω( ) = ( ) ( )[ ] ( )i iexp Φ [1]. ... Re cos sinS B A Dω ω ω( )[ ] = ( ) ( )[ ]Φ ΦIn general this is a mixture of the absorption and dispersion lineshape.