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7 Aug 2003: Figure 1. Pulse sequence timing diagrams for the a) NOESY, b) z-COSY, and c) TOCSY experiments incorporating swept-pulse/gradientpairs for the dephasing of zero-quantum coherence. ... mixing time 400 ms), b, b’): z-COSY spectra, and c, c’): TOCSY

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.

24 Feb 2004: b 30 and 60 transferred to 30. c 60 transferred to 30 and 60. ... You will need theidentity cos 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.

7 Aug 2003: 1(b). This sequence is the sameas that proposed by Cicero et al. ... 4 (b), tend to give χ2 maps in which there is a single well-definedminimum.

1 Feb 2001: a ib r i+ = exp θ. where r = a2 b2 and tanθ = (b/a). ... For example:. a b. c d. p q. r s. ap br aq bs.

24 Feb 2004: Under these circumstances the offset, , is zero and so the reducedfield, B, is also zero. ... 3.10 Relaxation 3–15. xy y. z. B1. x. z. B1. (a) (b).

9 Aug 2003: σ = = b B b B b Bi i. i1 1 2 2 K. ... and the trace taken. dd. Tr Trt. b t B B c b t B Bj k jj.

24 Feb 2004: 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 multipletsappear at (F1, F2) = (A B, A) and (A B, B) the implication is thatthe two spins A and B are coupled, as it is only

1 Feb 2001: 0 1. 1. 2= = =. = = =. = =. A B A B A A. A A A A. AA. ... For example:. a b. c d. p q. r s. ap br aq bs.

1 Feb 2001: cos sin sin sinA B B A B A= 12 to give. ( ) ( ){ ... If two two-dimensional multipletsappear at (F1, F2) = (A B, A) and (A B, B) the implication isthat the two spins A and B are coupled, as it is only if

1 Feb 2001: 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

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

24 Feb 2004: 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.

9 Aug 2003: Diagram (b) shows the relaxation induced transitionswhich are possible amongst the same set of levels. ... The three terms {a}, {b} and {c} all represent different peaks in theNOESY spectrum.

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.

1 Feb 2001: 4–1. 4 Coherence Selection: Phase Cycling and Gradient Pulses. A multiple-pulse NMR experiment is designed to manipulate the spins in a certain carefully defined way so as to produce a particular spectrum. However, a given pulse sequence usually

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.

1 Feb 2001: 4–1. 4 Coherence Selection: Phase Cycling and Gradient Pulses. A multiple-pulse NMR experiment is designed to manipulate the spins in a certain carefully defined way so as to produce a particular spectrum. However, a given pulse sequence usually