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 ebook bargains an experimentally-based, transparent clarification of the density-matrix and product operator remedies therefore permitting non-experts to see sequences of various levels of complexity.
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Additional resources for 2D Nmr: Density Matrix and Product Operator Treatment
59) represents the enhancement of the carbon magnetization by polarization transfer. This could not be even guessed from the vector representation. 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.
The difference between νA and νX, due to different chemical shifts, is too small to be taken into account when calculating the populations. 8. Energy levels of a homonuclear AX system (noncoupled and coupled). Transition frequencies and coupling constants are in Hz. 61) In order to compare the results of the density matrix treatment with those of the vectorial representation, we will calculate for every step of the sequence the magnetization components, using the relations (B15) − (B22). We must also consider that here q = p and that MoA = MoX = Mo/2, where Mo refers to magnetization due to adjacent 13C atoms A and X.
As far as the proton is concerned, its x components are not affected, while the other components rotate from y to z and from - y to - z, as expected after a 90x pulse. e, it is proton modulated. When s varies from +1 to - 1, the quantity 2sMoC varies from +2MoC to - 2MoC , a swing of 4MoC. The remaining of the sequence is designed to make this modulated term observable. For s greater than 1/4, M12 becomes positive while M34 remains negative. In other words, the fast carbons are now predominantly up and the slow ones predominantly down.