# Publication 65

065 - Prog. NMR Spect., 59, 121-196 (2011). Symmetry Pathways in Solid-State NMR , P. J. Grandinetti, J. T. Ash, and N. M. Trease

## Notes

In an updated edition of our review article (16 November 2012), a small error in the caption of Fig. 2 has been corrected, and a few notations, used throughout the published version, have been modified in this edition such that,

1. individual states are no longer enclosed in angle brackets, i.e., $m_i$ instead of $\langle m_i \rangle$,
2. a transition from state $i$ to $j$ is represented by $| j \rangle \langle i |$, instead of $\left(\langle i \rangle, \langle j \rangle \right)$,
3. single transition Zeeman order associated with states $i$ and $j$ is represented by $[i,j]$, instead of $[\langle i \rangle, \langle j\rangle]$.
4. the $l$th-rank spin transition symmetry function of the $k$th frequency component is represented as ${\xi}_l^{(k)}(i,j)$, instead of ${\xi}_k(i,j)$
5. the $L$th-rank orientational spatial symmetry function of the $k$th frequency component is represented as ${\Xi}_L^{(k)}(\Theta )$, instead of ${\Xi}_k(\Theta )$.
6. an unnecessary scaling factor in Eqs. (105) and (106) was eliminated.
7. the sign of effective $\langle D_n \cdot p_I\rangle$ evolution during $\epsilon$ in Fig. 38 has been reversed to be consistent with positive going echo associated with refocusing of rotor modulated anisotropic evolution.
8. an incorrect factor of $1/\sqrt{2}$ instead of $\sqrt{\frac{3}{2}}$ was corrected in Eq. (A.185).
9. an incorrect factor of appeared in the first-order nuclear shielding proportionality constant. It now shows the correct value which was already given in Eq. (A.191).
10. an incorrect factor of $1/\sqrt{2}$ instead of $\sqrt{\frac{3}{2}}$ was corrected in Eq. (A.222).
11. the zero-rank first-order proportionality constant for the strong $J$ coupling was eliminated since the spin transition part of the zero-rank term is zero.
12. an incorrect factor of $\sqrt{3}$ in the first-order strong $J$ coupling proportionality constant given in Eq. (A.227) was eliminated.
13. an incorrect factor of appeared in the first-order strong $J$ coupling proportionality constant. It now shows the correct value which was already given in Eq. (A.229).
14. an incorrect factor of appeared in the first-order weak $J$ coupling proportionality constant. It now shows the correct value which was already given in Eq. (A.238).

Additionally, the manuscript has been reformatted as single column to improve readability and minimize line breaks in equations. Below are the updated input files for the manuscript.