By Gheorghe D. Mateescu, Adrian Valeriu
Not like so much really expert books in this topic that emphasize the mathematical foundations of 2nd NMR, this publication deals an experimentally-based, transparent clarification of the density-matrix and product operator remedies hence permitting non-experts to determine sequences of various levels of complexity.
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Extra resources for 2D Nmr: Density Matrix and Product Operator Treatment
Are imaginary. 5 Detection Since no other pulse follows after t(3) we will consider only the evolution of the observable (single quantum) elements d12, d34, d13, and d24 in the time domain td. 98) d (3) = ( i 4 )( +c12 − c34 + is13 + is24 ) * 24 Each of the four matrix elements above contains all four frequencies evolving in domain te, namely: Ω12te , Ω34te , Ω13te , and Ω 24te . 99) shows that each td frequency is modulated by all four te frequencies. Thus, we expect sixteen peaks in the 2D plot.
This is the end of the vector representation of the 2DHETCOR sequence. Such representation would not have been possible without the complete information provided by the DM treatment. 6a. Vector representation of 2DHETCOR from t(0) to t(2). The magnetization vectors are arbitrarily taken equal for C and H in order to simplify the drawing. Actually the 1H magnetization at equilibrium is 16 times larger than that of 13C. 6b. Vector representation of 2DHETCOR from t(3) to t(5). 6c. Vector representation of 2DHETCOR at time t(6).
Nothing remarkable happens after the end of D2. The proton decoupler is turned on and the carbon magnetization is precessing as a whole during the detection time td (no spreadout of the fast and slow components). This is the end of the vector representation of the 2DHETCOR sequence. Such representation would not have been possible without the complete information provided by the DM treatment. 6a. Vector representation of 2DHETCOR from t(0) to t(2). The magnetization vectors are arbitrarily taken equal for C and H in order to simplify the drawing.