diff --git a/ZMC.lyx b/ZMC.lyx
new file mode 100644
index 0000000..f60f4c6
--- /dev/null
+++ b/ZMC.lyx
@@ -0,0 +1,2670 @@
+#LyX 2.3 created this file. For more info see http://www.lyx.org/
+\lyxformat 544
+\begin_document
+\begin_header
+\save_transient_properties true
+\origin unavailable
+\textclass article
+\use_default_options true
+\maintain_unincluded_children false
+\language english
+\language_package default
+\inputencoding auto
+\fontencoding global
+\font_roman "default" "default"
+\font_sans "default" "default"
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+\font_math "auto" "auto"
+\font_default_family default
+\use_non_tex_fonts false
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+\font_sf_scale 100 100
+\font_tt_scale 100 100
+\use_microtype false
+\use_dash_ligatures true
+\graphics default
+\default_output_format default
+\output_sync 0
+\bibtex_command default
+\index_command default
+\paperfontsize default
+\spacing single
+\use_hyperref false
+\papersize default
+\use_geometry true
+\use_package amsmath 1
+\use_package amssymb 1
+\use_package cancel 1
+\use_package esint 1
+\use_package mathdots 1
+\use_package mathtools 1
+\use_package mhchem 1
+\use_package stackrel 1
+\use_package stmaryrd 1
+\use_package undertilde 1
+\cite_engine basic
+\cite_engine_type default
+\biblio_style plain
+\use_bibtopic false
+\use_indices false
+\paperorientation portrait
+\suppress_date false
+\justification true
+\use_refstyle 1
+\use_minted 0
+\index Index
+\shortcut idx
+\color #008000
+\end_index
+\leftmargin 1cm
+\topmargin 1cm
+\rightmargin 1cm
+\bottommargin 2cm
+\secnumdepth 3
+\tocdepth 3
+\paragraph_separation indent
+\paragraph_indentation default
+\is_math_indent 0
+\math_numbering_side default
+\quotes_style english
+\dynamic_quotes 0
+\papercolumns 1
+\papersides 1
+\paperpagestyle default
+\tracking_changes false
+\output_changes false
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
+\end_header
+
+\begin_body
+
+\begin_layout Section*
+4 atoms
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float table
+placement H
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\begin_inset Tabular
+
+
+
+
+
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+Point group
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Shape
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Example
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Dihedrals
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $T_{d}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Regular
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+Trigonal
+\end_layout
+
+\end_inset
+
+Pyramidal
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+P
+\begin_inset Formula $_{4}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\size scriptsize
+\begin_inset Formula $\cos^{-1}\left(\frac{1}{3}\right)$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{3v}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+Trigonal
+\end_layout
+
+\end_inset
+
+Pyramidal
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+NH
+\begin_inset Formula $_{3}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\size scriptsize
+\begin_inset Formula $\cos^{-1}\left(\frac{\cos\theta\left(1-\cos\theta\right)}{\sin^{2}\theta}\right)$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{s}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+Trigonal
+\end_layout
+
+\end_inset
+
+Pyramidal
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+Is there any other resource that calls this Trigonal pyramidal?
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Cl
+\begin_inset Formula $_{2}$
+\end_inset
+
+OS
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\size scriptsize
+\begin_inset Formula $\cos^{-1}\left(\frac{\cos\theta-\cos^{2}\varphi}{\sin^{2}\varphi}\right)$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{2v}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Pyramidal
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+H
+\begin_inset Formula $_{2}$
+\end_inset
+
+Si
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\size scriptsize
+\begin_inset Formula $\cos^{-1}\left(\frac{\cos\theta-\cos^{2}\varphi}{\sin^{2}\varphi}\right)$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\family roman
+\series medium
+\shape up
+\size normal
+\emph off
+\bar no
+\strikeout off
+\xout off
+\uuline off
+\uwave off
+\noun off
+\color none
+Pyramidal
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+H
+\begin_inset Formula $_{2}$
+\end_inset
+
+O
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\size scriptsize
+\begin_inset Formula $\cos^{-1}\left(\frac{\cos\theta-\cos^{2}\varphi}{\sin^{2}\varphi}\right)$
+\end_inset
+
+
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+Also given for Cl2O2 is similar?
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+Assumed, but hasn't been fully considered yet
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{1}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Pyramidal
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+though some edges of the pyramid are not
+\begin_inset Quotes eld
+\end_inset
+
+bonds
+\begin_inset Quotes erd
+\end_inset
+
+ and could even be repulsive.
+ The hydrogens aren't really bonded in NH3 but we still call it pyramidal
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+H
+\begin_inset Formula $_{2}$
+\end_inset
+
+OS
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\size scriptsize
+\begin_inset Formula $\cos^{-1}\left(\frac{\cos\theta-\cos\varphi\cos\phi}{\sin\varphi\sin\phi}\right)$
+\end_inset
+
+
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+Assumed, but hasn't been fully considered yet
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $D_{3h}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+Trigonal
+\end_layout
+
+\end_inset
+
+Planar
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+BH
+\begin_inset Formula $_{3}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+0 or 180
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{s}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Planar
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+HNSi
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+0 or 180
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $D_{2h}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Planar
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Br
+\begin_inset Formula $_{2}$
+\end_inset
+
+Na
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+0 or 180
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{2h}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Planar
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+(HI)
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+0 or 180
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{2v}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Planar?
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+H2O2 is non-planary but it's C2.
+ Does the C2v guarantee that we're planar here because we need the molecule's
+ plane to be a mirror plane?
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+O
+\begin_inset Formula $_{2}$
+\end_inset
+
+S
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+0 or 180
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{2v}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Planar?
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+How do we know though? C
+\begin_inset Formula $_{2v}$
+\end_inset
+
+ can also be non-planar
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+CFO
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+0 or 180
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{\infty v}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Linear
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+CAgIO
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+0 or 180
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $D_{\infty h}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Linear
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+C
+\begin_inset Formula $_{2}$
+\end_inset
+
+H
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+0 or 180
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{2v}$
+\end_inset
+
+
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+\begin_inset Quotes eld
+\end_inset
+
+Effective
+\begin_inset Quotes erd
+\end_inset
+
+ symmetry class
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+an average torsion angle for Ar2 was
+\begin_inset Quotes eld
+\end_inset
+
+assumed
+\begin_inset Quotes erd
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+(Ar
+\begin_inset Formula $_{2}$
+\end_inset
+
+)(HCl)
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{s}$
+\end_inset
+
+
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+What is the mirror plane?
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+(HCl)
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{2}$
+\end_inset
+
+
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+Why different from (HCl)2?
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+Large amplitude motion
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+(HF)
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Section*
+5 atoms
+\end_layout
+
+\begin_layout Standard
+\begin_inset Float table
+placement H
+wide false
+sideways false
+status open
+
+\begin_layout Plain Layout
+\begin_inset Tabular
+
+
+
+
+
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+Point group
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Shape
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Example
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Dihedrals
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $T_{d}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+O
+\begin_inset Formula $_{4}$
+\end_inset
+
+Os
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+Also CCl4 and NH4, CH4
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{3v}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+ClH
+\begin_inset Formula $_{2}$
+\end_inset
+
+Si
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{3v}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+KrO
+\begin_inset Formula $_{3}$
+\end_inset
+
+S
+\begin_inset Note Note
+status collapsed
+
+\begin_layout Plain Layout
+Also CHBr3 and CH3O
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{2v}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+Cl
+\begin_inset Formula $_{4}$
+\end_inset
+
+Te
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{2v}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+C
+\begin_inset Formula $_{3}$
+\end_inset
+
+H
+\begin_inset Formula $_{2}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+
+|
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $C_{2v}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\end_layout
+
+\end_inset
+ |
+
+\begin_inset Text
+
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+H
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+|
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+
+\end_layout
+
+\end_body
+\end_document
diff --git a/ZMC.pdf b/ZMC.pdf
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index 0000000..d28798c
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