By Professor Dr. Michael Mehring (auth.)

The box of Nuclear Magnetic Resonance (NMR) has built at a desirable velocity over the past decade. it usually has been an exceptionally necessary software to the natural chemist by way of providing molecular "finger print" spectra on the atomic point. regrettably the excessive answer feasible in liquid recommendations couldn't be bought in solids and physicists and actual chemists needed to reside with unresolved strains open to a wealth of curve becoming strategies and an unlimited quantity of speculations. excessive answer NMR in solids looked to be a paradoxon. large constitution much less traces are typically encountered whilst facing NMR in solids. in basic terms with the new introduction of a number of pulse, magic attitude, cross-polarization, two-dimen sional and multiple-quantum spectroscopy and different innovations 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 get entangled with those innovations wanted a ebook which treats the foundations, theo retical foundations and functions of those fairly refined experimental suggestions. hence I wrote a monograph at the topic in 1976. Very quickly new rules ended in the developement of "two-dimensional spectroscopy" and "multiple-quantum spectroscopy", subject matters that have been now not coated within the first variation of my booklet. in addition an exponential development of literature seemed during this region of analysis 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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**Example text**

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. If the shift tensor is axially symmetric in the "rigid" case, as is the case of 19F in C 6 F 6 , Eq. g. C6F6). L component being the new unique component of the averaged tensor. Those motionally averaged powder spectra have been observed in multiple pulse experiments [12] and it was possible from the powder spectra of 19F in CF3 COOAg at different temperatures to assign the direction of the principle axes to the molecular frame tentatively.

123) and with (-1/V3)Aoo=(all+a22+ad/3=a; and wo=-yBo. 129) e- iyq q'= -2 where Combining this with Eqs. 130) where 8 is the angle between the static field Bo and the spinner axis. I. 132) with C 1 =wo sin 8 cos 8{ - 3 sin f3 cos f3(U 33 -u i ) +sin f3 cos f3 cos 2rx(u 11 -u 22)} s 1 = - Wo sin 8 cos 8 {sin f3 sin 2rx(u 11 - U22)} C 2 =Wo sin 2 8{! 6 Magic Angle Spinning (MAS) 47 and C SI Wr . +-l sm(Y+Wrt) - - COS(Y+Wrt) Wr C2 . S2 +2sm(2y+2wrt)--2 cos(2y+2wrt). 135) Note that cPa(t) = cPa(t - n 2n/w r) with n = 0,1,2, ...

I. 132) with C 1 =wo sin 8 cos 8{ - 3 sin f3 cos f3(U 33 -u i ) +sin f3 cos f3 cos 2rx(u 11 -u 22)} s 1 = - Wo sin 8 cos 8 {sin f3 sin 2rx(u 11 - U22)} C 2 =Wo sin 2 8{! 6 Magic Angle Spinning (MAS) 47 and C SI Wr . +-l sm(Y+Wrt) - - COS(Y+Wrt) Wr C2 . S2 +2sm(2y+2wrt)--2 cos(2y+2wrt). 135) Note that cPa(t) = cPa(t - n 2n/w r) with n = 0,1,2, ... shows cyclic behaviour which leads to rotational spin echos at t = n 2n/w r as was pointed out by Waugh and co-workers [8, 41]. The echo envelope is governed by exp[icPo(t)] which reduces to the isotropic part under "magic angle condition" 8 = 8m • Maricq and Waugh [8] and later Herzfeld and Berger [9] have expressed exp[icPa(t)] by infinite sums over products of Bessel functions of the first kind.