Download Principles of High Resolution NMR in Solids by Professor Dr. Michael Mehring (auth.) PDF

By Professor Dr. Michael Mehring (auth.)

The box of Nuclear Magnetic Resonance (NMR) has constructed at a desirable velocity over the last decade. it usually has been a really necessary instrument to the natural chemist through providing molecular "finger print" spectra on the atomic point. regrettably the excessive solution attainable in liquid recommendations couldn't be bought in solids and physicists and actual chemists needed to stay with unresolved traces open to a wealth of curve becoming tactics and an unlimited volume of speculations. excessive answer NMR in solids a paradoxon. large constitution­ much less strains are typically encountered while facing NMR in solids. purely with the hot introduction of a number of pulse, magic attitude, cross-polarization, two-dimen­ sional and multiple-quantum spectroscopy and different suggestions over the past decade it turned attainable to unravel finer info of nuclear spin interactions in solids. i've got felt that graduate scholars, researchers and others starting to become involved with those recommendations wanted a ebook which treats the foundations, theo­ retical foundations and purposes of those quite subtle experimental thoughts. for that reason I wrote a monograph at the topic in 1976. Very quickly new rules resulted in the developement of "two-dimensional spectroscopy" and "multiple-quantum spectroscopy", issues which have been now not lined within the first version of my booklet. in addition an exponential development of literature seemed during this zone of study leaving the newbie in a clumsy state of affairs of tracing again from a present article to the roots of the experiment.

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82) which is a superoperator acting on other operators, which can be visualized as state vectors in Liouville space. We can rewrite the Liouville-v. Neumann Equation Eq. 87) If £;(t) is not explicitly time dependent we obtain with ~ L(t) = exp( - i~t) = I I (-it)" L --~" "=0 n! *;"lp(O)) x "=0 n! 91) together with Eqs. 92b) which are the familiar second and fourth moment [1]. 93) Higher order moments are usually difficult to evaluate, although in the case of a simple cubic lattice all moments up to the eighth moment have been calculated.

The trace of the tensor is, of course, unchanged. The relevant equation describing this fact is Eq. 9 -1) Sh where S~=Sii-tTr{S} and the Z-axis corresponds to the rotation axis. In this expression all values are referred to the trace of the tensor. L =! 2' and S~3 and the Euler angles (IX, {J) defining the transformation from the principal axis system of the tensor (1,2,3) to the molecular rotating frame (Z-axis). (Sll -Sd sin 2 P cos 2 IX. 142b) This equation is valid for the "starred" and "unstarred" values of S.

P(p)ei2~) d~2J(9)e-i(Y+'PH). 160) Further reduction of Eq. 3[P2(COS P)Pz(cos 9) -~(sin 2P sin 29 cos(y + cp + 15) - sin 2Psin 29 cos2(y + cp + 15»] +v1(S11 -Sd[P2(cos9)sin 2Pcos21X+sinpsin29 . 161) where P2 is the Legendre Polynomial. 1ipping angle. (9, cp) are the Euler angles of the magnetic field Bo with respect to the molecular frame containing the flipping axis as the z-axis. 161) becomes particularly simple in the case of axial symmetry (S11 =S22)' As a simple example let us consider a water molecule (H 2 0 or DHO) ;,n a solid, like in gypsum.

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