More Päivi's suggestions implemented.

Former-commit-id: f391fdb73b126a241e3900d5282841f03abd5fb0

lepaper/Tmatrix.bib

@@ -76,6 +76,14 @@
   series = {Artech {{House Antennas}} and {{Propagation Library}}}
 }
 
+@book{condon_theory_1935,
+  title = {The {{Theory}} of {{Atomic Spectra}}},
+  author = {Condon, E. U. and Shortley, G. H.},
+  year = {1935},
+  publisher = {{Cambridge University Press}},
+  isbn = {978-0-521-09209-8}
+}
+
 @article{dellnitz_locating_2002,
   title = {Locating All the Zeros of an Analytic Function in One Complex Variable},
   author = {Dellnitz, Michael and Sch{\"u}tze, Oliver and Zheng, Qinghua},
@@ -945,6 +953,13 @@ matrix method for multilayer calculations.},
   number = {4}
 }
 
+@misc{SCUFF/MMN,
+  title = {{{SCUFF}}-{{EM}}},
+  author = {Reid, Homer},
+  year = {2018},
+  note = {https://github.com/texnokrates/scuff-em}
+}
+
 @misc{SCUFF2,
   title = {{{SCUFF}}-{{EM}}},
   author = {Reid, Homer},
@@ -1147,6 +1162,16 @@ matrix method for multilayer calculations.},
   number = {8}
 }
 
+@book{wigner_group_1959,
+  title = {Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra},
+  author = {Wigner, Eugene P. and Griffin, J. J.},
+  year = {1959},
+  edition = {Revised},
+  publisher = {{Academic Press}},
+  file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/8T5VQVHL/Group theory and its application to the quantum mechanics of atomic spectra by Eugene P. Wigner, J. J. Griffin (z-lib.org).djvu},
+  isbn = {978-0-12-750550-3}
+}
+
 @article{xu_calculation_1996,
   title = {Calculation of the {{Addition Coefficients}} in {{Electromagnetic Multisphere}}-{{Scattering Theory}}},
   author = {Xu, Yu-lin},

lepaper/infinite.lyx

@@ -2205,9 +2205,9 @@ noprefix "false"
 
 , taking the sums over scatterers inside one unit cell, to get the extinction
  and absorption cross sections per unit cell.
- From these, quantities such as absorption, extinction coefficients are
+ From these, quantities such as absorption, extinction and scattering coefficien
- obtained using suitable normalisation by unit cell size, depending on lattice
+ts are obtained using suitable normalisation by unit cell size, depending
- dimensionality.
+ on lattice dimensionality.
 \end_layout
 
 \begin_layout Standard

lepaper/symmetries.lyx

@@ -207,10 +207,10 @@ TODO Zkontrolovat všechny vzorečky zde!!!
 
 In order to make use of the point group symmetries, we first need to know
  how they affect our basis functions, i.e.
- the VSWFs.
+\begin_inset space \space{}
-\end_layout
+\end_inset
 
-\begin_layout Standard
+the VSWFs.
  Let 
 \begin_inset Formula $g$
 \end_inset
@@ -220,8 +220,10 @@ Let
 \end_inset
 
 , i.e.
- a 3D point rotation or reflection operation that transforms vectors in
+\begin_inset space \space{}
+\end_inset
 
+a 3D point rotation or reflection operation that transforms vectors in 
 \begin_inset Formula $\reals^{3}$
 \end_inset
 
@@ -281,8 +283,8 @@ Spherical harmonics
 , transform as 
 \begin_inset CommandInset citation
 LatexCommand cite
-after "???"
+after "Chapter 15"
-key "dresselhaus_group_2008"
+key "wigner_group_1959"
 literal "false"
 
 \end_inset
@@ -429,11 +431,11 @@ noprefix "false"
 
 \end_inset
 
-(and analogously for the regular waves 
+and analogously for the regular waves 
 \begin_inset Formula $\vswfrtlm{\tau}lm$
 \end_inset
 
-).
+.
  
 \begin_inset Note Note
 status open
@@ -767,7 +769,7 @@ With these transformation properties in hand, we can proceed to the effects
  & =\sum_{\tau=1,2}\sum_{l=1}^{\infty}\sum_{m=-l}^{+l}\sum_{m'=-l}^{l}\left(\rcoeffptlm p{\tau}lmD_{m,\mu'}^{\tau l}\left(g\right)\vswfrtlm{\tau}l{m'}\left(\kappa\left(\vect r-\vect r_{\pi_{g}p}\right)\right)\right.\\
  & \quad+\left.\outcoeffptlm p{\tau}lmD_{m,\mu'}^{\tau l}\left(g\right)\vswfouttlm{\tau}l{m'}\left(\kappa\left(\vect r-\vect r_{\pi_{g}p}\right)\right)\right)\\
  & =\sum_{\tau=1,2}\sum_{l=1}^{\infty}\sum_{m=-l}^{+l}\sum_{m'=-l}^{l}\left(\rcoeffptlm{\pi_{g}^{-1}q}{\tau}lmD_{m,\mu'}^{\tau l}\left(g\right)\vswfrtlm{\tau}l{m'}\left(\kappa\left(\vect r-\vect r_{q}\right)\right)\right.\\
- & \quad+\left.\outcoeffptlm{\pi_{g}^{-1}q}{\tau}lmD_{m,\mu'}^{\tau l}\left(g\right)\vswfouttlm{\tau}l{m'}\left(\kappa\left(\vect r-\vect r_{q}\right)\right)\right)
+ & \quad+\left.\outcoeffptlm{\pi_{g}^{-1}q}{\tau}lmD_{m,\mu'}^{\tau l}\left(g\right)\vswfouttlm{\tau}l{m'}\left(\kappa\left(\vect r-\vect r_{q}\right)\right)\right).
 \end{align*}
 
 \end_inset
@@ -799,7 +801,11 @@ For a given particle
 \begin_inset Formula $p$
 \end_inset
 
-, i.e.
+,
+\begin_inset space \space{}
+\end_inset
+
+i.e.
  the set 
 \begin_inset Formula $\left\{ \pi_{g}\left(p\right);g\in G\right\} $
 \end_inset
@@ -853,7 +859,17 @@ noprefix "false"
 
 \end_inset
 
+ 
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
 (TODO avoid notation clash here in a more consistent and readable way!)
+\end_layout
+
+\end_inset
+
+
 \begin_inset Formula 
 \begin{align}
 \rcoeffp p & \overset{g}{\longmapsto}\tilde{J}\left(g\right)\rcoeffp{\pi_{g}^{-1}(p)},\nonumber \\
@@ -1050,7 +1066,7 @@ literal "false"
  or 
 \begin_inset CommandInset citation
 LatexCommand cite
-after "???"
+after "Chapter 2"
 key "bradley_mathematical_1972"
 literal "false"
 
@@ -1187,6 +1203,9 @@ Also for periodic systems,
 \end_inset
 
  from the left hand side of eqs.
+\begin_inset space \space{}
+\end_inset
+
 
 \begin_inset CommandInset ref
 LatexCommand eqref
@@ -1230,7 +1249,7 @@ s happens unless
  lies somewhere in the high-symmetry parts of the Brillouin zone.
  However, the high-symmetry points are usually the ones of the highest physical
  interest, for it is where the band edges are typically located.
- The subsection does not aim for an exhaustive treatment of the topic of
+ This subsection does not aim for an exhaustive treatment of the topic of
  space groups in physics (which can be found elsewhere 
 \begin_inset CommandInset citation
 LatexCommand cite
@@ -1414,6 +1433,9 @@ The transformation to the symmetry adapted basis
 : this can happen if the point group symmetry maps some of the scatterers
  from the reference unit cell to scatterers belonging to other unit cells.
  This is illustrated in Fig.
+\begin_inset space \space{}
+\end_inset
+
 
 \begin_inset CommandInset ref
 LatexCommand ref
@@ -1426,6 +1448,9 @@ noprefix "false"
 
 .
  Fig.
+\begin_inset space \space{}
+\end_inset
+
 
 \begin_inset CommandInset ref
 LatexCommand ref
@@ -1449,16 +1474,16 @@ a shows a hexagonal periodic array with
 \end_inset
 
 .
- If we delimit our representative unit cell as the Wigner-Seitz cell with
+ We delimit our representative unit cell as the Wigner-Seitz cell with origin
- origin in a 
+ in a 
 \begin_inset Formula $D_{6}$
 \end_inset
 
- point group symmetry center (there is one per each unit cell).
+ point group symmetry center (there is one per each unit cell); per unit
- Per unit cell, there are five different particles placed on the unit cell
+ cell, there are five different particles placed on the unit cell boundary,
- boundary, and we need to make a choice to which unit cell the particles
+ and we need to make a choice to which unit cell the particles on the boundary
- on the boundary belong; in our case, we choose that a unit cell includes
+ belong; in our case, we choose that a unit cell includes the particles
- the particles on the left as denoted by different colors.
+ on the left as denoted by different colors.
  If the Bloch vector is at the upper 
 \begin_inset Formula $M$
 \end_inset
@@ -1503,6 +1528,9 @@ horizontal
 \end_inset
 
 as in eq.
+\begin_inset space \space{}
+\end_inset
+
 
 \begin_inset CommandInset ref
 LatexCommand eqref