From 1ede6fca8198bebb44106abace1cde6e5aa8e57f Mon Sep 17 00:00:00 2001
From: ottjk <joshott16@gmail.com>
Date: Sun, 7 Jan 2024 14:16:36 -0500
Subject: removed unused latex stuff

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-% ****** Start of file aipsamp.tex ******
-%
-%   This file is part of the AIP files in the AIP distribution for REVTeX 4.
-%   Version 4.2a of REVTeX, December 2014
-%
-%   Copyright (c) 2014 American Institute of Physics.
-%
-%   See the AIP README file for restrictions and more information.
-%
-% TeX'ing this file requires that you have AMS-LaTeX 2.0 installed
-% as well as the rest of the prerequisites for REVTeX 4.2
-%
-% It also requires running BibTeX. The commands are as follows:
-%
-%  1)  latex  aipsamp
-%  2)  bibtex aipsamp
-%  3)  latex  aipsamp
-%  4)  latex  aipsamp
-%
-% Use this file as a source of example code for your aip document.
-% Use the file aiptemplate.tex as a template for your document.
-\documentclass[%
- aip,
- jmp,%
- amsmath,amssymb,
-%preprint,%
- reprint,%
-%author-year,%
-%author-numerical,%
-]{revtex4-2}
-
-\usepackage{graphicx}% Include figure files
-\usepackage{dcolumn}% Align table columns on decimal point
-\usepackage{bm}% bold math
-%\usepackage[mathlines]{lineno}% Enable numbering of text and display math
-%\linenumbers\relax % Commence numbering lines
-
-\begin{document}
-
-\preprint{AIP/123-QED}
-
-\title[Sample title]{Sample Title:\\with Forced Linebreak\footnote{Error!}}% Force line breaks with \\
-\thanks{Footnote to title of article.}
-
-\author{A. Author}
- \altaffiliation[Also at ]{Physics Department, XYZ University.}%Lines break automatically or can be forced with \\
-\author{B. Author}%
- \email{Second.Author@institution.edu.}
-\affiliation{ 
-Authors' institution and/or address%\\This line break forced with \textbackslash\textbackslash
-}%
-
-\author{C. Author}
- \homepage{http://www.Second.institution.edu/~Charlie.Author.}
-\affiliation{%
-Second institution and/or address%\\This line break forced% with \\
-}%
-
-\date{\today}% It is always \today, today,
-             %  but any date may be explicitly specified
-
-\begin{abstract}
-An article usually includes an abstract, a concise summary of the work
-covered at length in the main body of the article. It is used for
-secondary publications and for information retrieval purposes. 
-%
-\end{abstract}
-
-\keywords{Suggested keywords}%Use showkeys class option if keyword
-                              %display desired
-\maketitle
-
-\begin{quotation}
-The ``lead paragraph'' is encapsulated with the \LaTeX\ 
-\verb+quotation+ environment and is formatted as a single paragraph before the first section heading. 
-(The \verb+quotation+ environment reverts to its usual meaning after the first sectioning command.) 
-Note that numbered references are allowed in the lead paragraph.
-%
-The lead paragraph will only be found in an article being prepared for the journal \textit{Chaos}.
-\end{quotation}
-
-\section{\label{sec:level1}First-level heading:\protect\\ The line
-break was forced \lowercase{via} \textbackslash\textbackslash}
-
-This sample document demonstrates proper use of REV\TeX~4.2 (and
-\LaTeXe) in manuscripts prepared for submission to AIP
-journals. Further information can be found in the documentation included in the distribution or available at
-\url{http://authors.aip.org} and in the documentation for 
-REV\TeX~4.2 itself.
-
-When commands are referred to in this example file, they are always
-shown with their required arguments, using normal \TeX{} format. In
-this format, \verb+#1+, \verb+#2+, etc. stand for required
-author-supplied arguments to commands. For example, in
-\verb+\section{#1}+ the \verb+#1+ stands for the title text of the
-author's section heading, and in \verb+\title{#1}+ the \verb+#1+
-stands for the title text of the paper.
-
-Line breaks in section headings at all levels can be introduced using
-\textbackslash\textbackslash. A blank input line tells \TeX\ that the
-paragraph has ended. 
-
-\subsection{\label{sec:level2}Second-level heading: Formatting}
-
-This file may be formatted in both the \texttt{preprint} (the default) and
-\texttt{reprint} styles; the latter format may be used to 
-mimic final journal output. Either format may be used for submission
-purposes; however, for peer review and production, AIP will format the
-article using the \texttt{preprint} class option. Hence, it is
-essential that authors check that their manuscripts format acceptably
-under \texttt{preprint}. Manuscripts submitted to AIP that do not
-format correctly under the \texttt{preprint} option may be delayed in
-both the editorial and production processes.
-
-The \texttt{widetext} environment will make the text the width of the
-full page, as on page~\pageref{eq:wideeq}. (Note the use the
-\verb+\pageref{#1}+ to get the page number right automatically.) The
-width-changing commands only take effect in \texttt{twocolumn}
-formatting. It has no effect if \texttt{preprint} formatting is chosen
-instead.
-
-\subsubsection{\label{sec:level3}Third-level heading: Citations and Footnotes}
-
-Citations in text refer to entries in the Bibliography;
-they use the commands \verb+\cite{#1}+ or \verb+\onlinecite{#1}+. 
-Because REV\TeX\ uses the \verb+natbib+ package of Patrick Daly, 
-its entire repertoire of commands are available in your document;
-see the \verb+natbib+ documentation for further details.
-The argument of \verb+\cite+ is a comma-separated list of \emph{keys};
-a key may consist of letters and numerals. 
-
-By default, citations are numerical; \cite{feyn54} author-year citations are an option. 
-To give a textual citation, use \verb+\onlinecite{#1}+: (Refs.~\onlinecite{witten2001,epr,Bire82}). 
-REV\TeX\ ``collapses'' lists of consecutive numerical citations when appropriate. 
-REV\TeX\ provides the ability to properly punctuate textual citations in author-year style;
-this facility works correctly with numerical citations only with \texttt{natbib}'s compress option turned off. 
-To illustrate, we cite several together \cite{feyn54,witten2001,epr,Berman1983}, 
-and once again (Refs.~\onlinecite{epr,feyn54,Bire82,Berman1983}). 
-Note that, when numerical citations are used, the references were sorted into the same order they appear in the bibliography. 
-
-A reference within the bibliography is specified with a \verb+\bibitem{#1}+ command,
-where the argument is the citation key mentioned above. 
-\verb+\bibitem{#1}+ commands may be crafted by hand or, preferably,
-generated by using Bib\TeX. 
-The AIP styles for REV\TeX~4 include Bib\TeX\ style files
-\verb+aipnum.bst+ and \verb+aipauth.bst+, appropriate for
-numbered and author-year bibliographies,
-respectively. 
-REV\TeX~4 will automatically choose the style appropriate for 
-the document's selected class options: the default is numerical, and
-you obtain the author-year style by specifying a class option of \verb+author-year+.
-
-This sample file demonstrates a simple use of Bib\TeX\ 
-via a \verb+\bibliography+ command referencing the \verb+aipsamp.bib+ file.
-Running Bib\TeX\ (in this case \texttt{bibtex
-aipsamp}) after the first pass of \LaTeX\ produces the file
-\verb+aipsamp.bbl+ which contains the automatically formatted
-\verb+\bibitem+ commands (including extra markup information via
-\verb+\bibinfo+ commands). If not using Bib\TeX, the
-\verb+thebibiliography+ environment should be used instead.
-
-\paragraph{Fourth-level heading is run in.}%
-Footnotes are produced using the \verb+\footnote{#1}+ command. 
-Numerical style citations put footnotes into the 
-bibliography\footnote{Automatically placing footnotes into the bibliography requires using BibTeX to compile the bibliography.}.
-Author-year and numerical author-year citation styles (each for its own reason) cannot use this method. 
-Note: due to the method used to place footnotes in the bibliography, \emph{you
-must re-run BibTeX every time you change any of your document's
-footnotes}. 
-
-\section{Math and Equations}
-Inline math may be typeset using the \verb+$+ delimiters. Bold math
-symbols may be achieved using the \verb+bm+ package and the
-\verb+\bm{#1}+ command it supplies. For instance, a bold $\alpha$ can
-be typeset as \verb+$\bm{\alpha}$+ giving $\bm{\alpha}$. Fraktur and
-Blackboard (or open face or double struck) characters should be
-typeset using the \verb+\mathfrak{#1}+ and \verb+\mathbb{#1}+ commands
-respectively. Both are supplied by the \texttt{amssymb} package. For
-example, \verb+$\mathbb{R}$+ gives $\mathbb{R}$ and
-\verb+$\mathfrak{G}$+ gives $\mathfrak{G}$
-
-In \LaTeX\ there are many different ways to display equations, and a
-few preferred ways are noted below. Displayed math will center by
-default. Use the class option \verb+fleqn+ to flush equations left.
-
-Below we have numbered single-line equations, the most common kind: 
-\begin{eqnarray}
-\chi_+(p)\alt{\bf [}2|{\bf p}|(|{\bf p}|+p_z){\bf ]}^{-1/2}
-\left(
-\begin{array}{c}
-|{\bf p}|+p_z\\
-px+ip_y
-\end{array}\right)\;,
-\\
-\left\{%
- \openone234567890abc123\alpha\beta\gamma\delta1234556\alpha\beta
- \frac{1\sum^{a}_{b}}{A^2}%
-\right\}%
-\label{eq:one}.
-\end{eqnarray}
-Note the open one in Eq.~(\ref{eq:one}).
-
-Not all numbered equations will fit within a narrow column this
-way. The equation number will move down automatically if it cannot fit
-on the same line with a one-line equation:
-\begin{equation}
-\left\{
- ab12345678abc123456abcdef\alpha\beta\gamma\delta1234556\alpha\beta
- \frac{1\sum^{a}_{b}}{A^2}%
-\right\}.
-\end{equation}
-
-When the \verb+\label{#1}+ command is used [cf. input for
-Eq.~(\ref{eq:one})], the equation can be referred to in text without
-knowing the equation number that \TeX\ will assign to it. Just
-use \verb+\ref{#1}+, where \verb+#1+ is the same name that used in
-the \verb+\label{#1}+ command.
-
-Unnumbered single-line equations can be typeset
-using the \verb+\[+, \verb+\]+ format:
-\[g^+g^+ \rightarrow g^+g^+g^+g^+ \dots ~,~~q^+q^+\rightarrow
-q^+g^+g^+ \dots ~. \]
-
-\subsection{Multiline equations}
-
-Multiline equations are obtained by using the \verb+eqnarray+
-environment.  Use the \verb+\nonumber+ command at the end of each line
-to avoid assigning a number:
-\begin{eqnarray}
-{\cal M}=&&ig_Z^2(4E_1E_2)^{1/2}(l_i^2)^{-1}
-\delta_{\sigma_1,-\sigma_2}
-(g_{\sigma_2}^e)^2\chi_{-\sigma_2}(p_2)\nonumber\\
-&&\times
-[\epsilon_jl_i\epsilon_i]_{\sigma_1}\chi_{\sigma_1}(p_1),
-\end{eqnarray}
-\begin{eqnarray}
-\sum \vert M^{\text{viol}}_g \vert ^2&=&g^{2n-4}_S(Q^2)~N^{n-2}
-        (N^2-1)\nonumber \\
- & &\times \left( \sum_{i<j}\right)
-  \sum_{\text{perm}}
- \frac{1}{S_{12}}
- \frac{1}{S_{12}}
- \sum_\tau c^f_\tau~.
-\end{eqnarray}
-\textbf{Note:} Do not use \verb+\label{#1}+ on a line of a multiline
-equation if \verb+\nonumber+ is also used on that line. Incorrect
-cross-referencing will result. Notice the use \verb+\text{#1}+ for
-using a Roman font within a math environment.
-
-To set a multiline equation without \emph{any} equation
-numbers, use the \verb+\begin{eqnarray*}+,
-\verb+\end{eqnarray*}+ format:
-\begin{eqnarray*}
-\sum \vert M^{\text{viol}}_g \vert ^2&=&g^{2n-4}_S(Q^2)~N^{n-2}
-        (N^2-1)\\
- & &\times \left( \sum_{i<j}\right)
- \left(
-  \sum_{\text{perm}}\frac{1}{S_{12}S_{23}S_{n1}}
- \right)
- \frac{1}{S_{12}}~.
-\end{eqnarray*}
-To obtain numbers not normally produced by the automatic numbering,
-use the \verb+\tag{#1}+ command, where \verb+#1+ is the desired
-equation number. For example, to get an equation number of
-(\ref{eq:mynum}),
-\begin{equation}
-g^+g^+ \rightarrow g^+g^+g^+g^+ \dots ~,~~q^+q^+\rightarrow
-q^+g^+g^+ \dots ~. \tag{2.6$'$}\label{eq:mynum}
-\end{equation}
-
-A few notes on \verb=\tag{#1}=. \verb+\tag{#1}+ requires
-\texttt{amsmath}. The \verb+\tag{#1}+ must come before the
-\verb+\label{#1}+, if any. The numbering set with \verb+\tag{#1}+ is
-\textit{transparent} to the automatic numbering in REV\TeX{};
-therefore, the number must be known ahead of time, and it must be
-manually adjusted if other equations are added. \verb+\tag{#1}+ works
-with both single-line and multiline equations. \verb+\tag{#1}+ should
-only be used in exceptional case - do not use it to number all
-equations in a paper.
-
-Enclosing single-line and multiline equations in
-\verb+\begin{subequations}+ and \verb+\end{subequations}+ will produce
-a set of equations that are ``numbered'' with letters, as shown in
-Eqs.~(\ref{subeq:1}) and (\ref{subeq:2}) below:
-\begin{subequations}
-\label{eq:whole}
-\begin{equation}
-\left\{
- abc123456abcdef\alpha\beta\gamma\delta1234556\alpha\beta
- \frac{1\sum^{a}_{b}}{A^2}
-\right\},\label{subeq:1}
-\end{equation}
-\begin{eqnarray}
-{\cal M}=&&ig_Z^2(4E_1E_2)^{1/2}(l_i^2)^{-1}
-(g_{\sigma_2}^e)^2\chi_{-\sigma_2}(p_2)\nonumber\\
-&&\times
-[\epsilon_i]_{\sigma_1}\chi_{\sigma_1}(p_1).\label{subeq:2}
-\end{eqnarray}
-\end{subequations}
-Putting a \verb+\label{#1}+ command right after the
-\verb+\begin{subequations}+, allows one to
-reference all the equations in a subequations environment. For
-example, the equations in the preceding subequations environment were
-Eqs.~(\ref{eq:whole}).
-
-\subsubsection{Wide equations}
-The equation that follows is set in a wide format, i.e., it spans
-across the full page. The wide format is reserved for long equations
-that cannot be easily broken into four lines or less:
-\begin{widetext}
-\begin{equation}
-{\cal R}^{(\text{d})}=
- g_{\sigma_2}^e
- \left(
-   \frac{[\Gamma^Z(3,21)]_{\sigma_1}}{Q_{12}^2-M_W^2}
-  +\frac{[\Gamma^Z(13,2)]_{\sigma_1}}{Q_{13}^2-M_W^2}
- \right)
- + x_WQ_e
- \left(
-   \frac{[\Gamma^\gamma(3,21)]_{\sigma_1}}{Q_{12}^2-M_W^2}
-  +\frac{[\Gamma^\gamma(13,2)]_{\sigma_1}}{Q_{13}^2-M_W^2}
- \right)\;. \label{eq:wideeq}
-\end{equation}
-\end{widetext}
-This is typed to show the output is in wide format.
-(Since there is no input line between \verb+\equation+ and
-this paragraph, there is no paragraph indent for this paragraph.)
-\section{Cross-referencing}
-REV\TeX{} will automatically number sections, equations, figure
-captions, and tables. In order to reference them in text, use the
-\verb+\label{#1}+ and \verb+\ref{#1}+ commands. To reference a
-particular page, use the \verb+\pageref{#1}+ command.
-
-The \verb+\label{#1}+ should appear in a section heading, within an
-equation, or in a table or figure caption. The \verb+\ref{#1}+ command
-is used in the text where the citation is to be displayed.  Some
-examples: Section~\ref{sec:level1} on page~\pageref{sec:level1},
-Table~\ref{tab:table1},%
-\begin{table}
-\caption{\label{tab:table1}This is a narrow table which fits into a
-text column when using \texttt{twocolumn} formatting. Note that
-REV\TeX~4 adjusts the intercolumn spacing so that the table fills the
-entire width of the column. Table captions are numbered
-automatically. This table illustrates left-aligned, centered, and
-right-aligned columns.  }
-\begin{ruledtabular}
-\begin{tabular}{lcr}
-Left\footnote{Note a.}&Centered\footnote{Note b.}&Right\\
-\hline
-1 & 2 & 3\\
-10 & 20 & 30\\
-100 & 200 & 300\\
-\end{tabular}
-\end{ruledtabular}
-\end{table}
-and Fig.~\ref{fig:epsart}.
-
-\section{Figures and Tables}
-Figures and tables are typically ``floats''; \LaTeX\ determines their
-final position via placement rules. 
-\LaTeX\ isn't always successful in automatically placing floats where you wish them.
-
-Figures are marked up with the \texttt{figure} environment, the content of which
-imports the image (\verb+\includegraphics+) followed by the figure caption (\verb+\caption+).
-The argument of the latter command should itself contain a \verb+\label+ command if you
-wish to refer to your figure with \verb+\ref+.
-
-Import your image using either the \texttt{graphics} or
-\texttt{graphix} packages. These packages both define the
-\verb+\includegraphics{#1}+ command, but they differ in the optional
-arguments for specifying the orientation, scaling, and translation of the figure.
-Fig.~\ref{fig:epsart}%
-\begin{figure}
-\includegraphics{fig_1}% Here is how to import EPS art
-\caption{\label{fig:epsart} A figure caption. The figure captions are
-automatically numbered.}
-\end{figure}
-is small enough to fit in a single column, while
-Fig.~\ref{fig:wide}%
-\begin{figure*}
-\includegraphics{fig_2}% Here is how to import EPS art
-\caption{\label{fig:wide}Use the \texttt{figure*} environment to get a wide
-figure, spanning the page in \texttt{twocolumn} formatting.}
-\end{figure*}
-is too wide for a single column,
-so instead the \texttt{figure*} environment has been used.
-
-The analog of the \texttt{figure} environment is \texttt{table}, which uses
-the same \verb+\caption+ command.
-However, you should type your caption command first within the \texttt{table}, 
-instead of last as you did for \texttt{figure}.
-
-The heart of any table is the \texttt{tabular} environment,
-which represents the table content as a (vertical) sequence of table rows,
-each containing a (horizontal) sequence of table cells. 
-Cells are separated by the \verb+&+ character;
-the row terminates with \verb+\\+. 
-The required argument for the \texttt{tabular} environment
-specifies how data are displayed in each of the columns. 
-For instance, a column
-may be centered (\verb+c+), left-justified (\verb+l+), right-justified (\verb+r+),
-or aligned on a decimal point (\verb+d+). 
-(Table~\ref{tab:table4}%
-\begin{table}
-\caption{\label{tab:table4}Numbers in columns Three--Five have been
-aligned by using the ``d'' column specifier (requires the
-\texttt{dcolumn} package). 
-Non-numeric entries (those entries without
-a ``.'') in a ``d'' column are aligned on the decimal point. 
-Use the
-``D'' specifier for more complex layouts. }
-\begin{ruledtabular}
-\begin{tabular}{ccddd}
-One&Two&\mbox{Three}&\mbox{Four}&\mbox{Five}\\
-\hline
-one&two&\mbox{three}&\mbox{four}&\mbox{five}\\
-He&2& 2.77234 & 45672. & 0.69 \\
-C\footnote{Some tables require footnotes.}
-  &C\footnote{Some tables need more than one footnote.}
-  & 12537.64 & 37.66345 & 86.37 \\
-\end{tabular}
-\end{ruledtabular}
-\end{table}
-illustrates the use of decimal column alignment.)
-
-Extra column-spacing may be be specified as well, although
-REV\TeX~4 sets this spacing so that the columns fill the width of the
-table.
-Horizontal rules are typeset using the \verb+\hline+
-command.
-The doubled (or Scotch) rules that appear at the top and
-bottom of a table can be achieved by enclosing the \texttt{tabular}
-environment within a \texttt{ruledtabular} environment.
-Rows whose columns span multiple columns can be typeset using \LaTeX's
-\verb+\multicolumn{#1}{#2}{#3}+ command
-(for example, see the first row of Table~\ref{tab:table3}).%
-\begin{table*}
-\caption{\label{tab:table3}This is a wide table that spans the page
-width in \texttt{twocolumn} mode. It is formatted using the
-\texttt{table*} environment. It also demonstrates the use of
-\textbackslash\texttt{multicolumn} in rows with entries that span
-more than one column.}
-\begin{ruledtabular}
-\begin{tabular}{ccccc}
- &\multicolumn{2}{c}{$D_{4h}^1$}&\multicolumn{2}{c}{$D_{4h}^5$}\\
- Ion&1st alternative&2nd alternative&lst alternative
-&2nd alternative\\ \hline
- K&$(2e)+(2f)$&$(4i)$ &$(2c)+(2d)$&$(4f)$ \\
- Mn&$(2g)$\footnote{The $z$ parameter of these positions is $z\sim\frac{1}{4}$.}
- &$(a)+(b)+(c)+(d)$&$(4e)$&$(2a)+(2b)$\\
- Cl&$(a)+(b)+(c)+(d)$&$(2g)$\footnote{This is a footnote in a table that spans the full page
-width in \texttt{twocolumn} mode. It is supposed to set on the full width of the page, just as the caption does. }
- &$(4e)^{\text{a}}$\\
- He&$(8r)^{\text{a}}$&$(4j)^{\text{a}}$&$(4g)^{\text{a}}$\\
- Ag& &$(4k)^{\text{a}}$& &$(4h)^{\text{a}}$\\
-\end{tabular}
-\end{ruledtabular}
-\end{table*}
-
-The tables in this document illustrate various effects.
-Tables that fit in a narrow column are contained in a \texttt{table}
-environment.
-Table~\ref{tab:table3} is a wide table, therefore set with the
-\texttt{table*} environment.
-Lengthy tables may need to break across pages.
-A simple way to allow this is to specify
-the \verb+[H]+ float placement on the \texttt{table} or
-\texttt{table*} environment.
-Alternatively, using the standard \LaTeXe\ package \texttt{longtable} 
-gives more control over how tables break and allows headers and footers 
-to be specified for each page of the table.
-An example of the use of \texttt{longtable} can be found
-in the file \texttt{summary.tex} that is included with the REV\TeX~4
-distribution.
-
-There are two methods for setting footnotes within a table (these
-footnotes will be displayed directly below the table rather than at
-the bottom of the page or in the bibliography).
-The easiest
-and preferred method is just to use the \verb+\footnote{#1}+
-command. This will automatically enumerate the footnotes with
-lowercase roman letters.
-However, it is sometimes necessary to have
-multiple entries in the table share the same footnote.
-In this case,
-create the footnotes using
-\verb+\footnotemark[#1]+ and \verb+\footnotetext[#1]{#2}+.
-\texttt{\#1} is a numeric value.
-Each time the same value for \texttt{\#1} is used, 
-the same mark is produced in the table. 
-The \verb+\footnotetext[#1]{#2}+ commands are placed after the \texttt{tabular}
-environment. 
-Examine the \LaTeX\ source and output for Tables~\ref{tab:table1} and 
-\ref{tab:table2}%
-\begin{table}
-\caption{\label{tab:table2}A table with more columns still fits
-properly in a column. Note that several entries share the same
-footnote. Inspect the \LaTeX\ input for this table to see
-exactly how it is done.}
-\begin{ruledtabular}
-\begin{tabular}{cccccccc}
- &$r_c$ (\AA)&$r_0$ (\AA)&$\kappa r_0$&
- &$r_c$ (\AA) &$r_0$ (\AA)&$\kappa r_0$\\
-\hline
-Cu& 0.800 & 14.10 & 2.550 &Sn\footnotemark[1]
-& 0.680 & 1.870 & 3.700 \\
-Ag& 0.990 & 15.90 & 2.710 &Pb\footnotemark[2]
-& 0.450 & 1.930 & 3.760 \\
-Au& 1.150 & 15.90 & 2.710 &Ca\footnotemark[3]
-& 0.750 & 2.170 & 3.560 \\
-Mg& 0.490 & 17.60 & 3.200 &Sr\footnotemark[4]
-& 0.900 & 2.370 & 3.720 \\
-Zn& 0.300 & 15.20 & 2.970 &Li\footnotemark[2]
-& 0.380 & 1.730 & 2.830 \\
-Cd& 0.530 & 17.10 & 3.160 &Na\footnotemark[5]
-& 0.760 & 2.110 & 3.120 \\
-Hg& 0.550 & 17.80 & 3.220 &K\footnotemark[5]
-&  1.120 & 2.620 & 3.480 \\
-Al& 0.230 & 15.80 & 3.240 &Rb\footnotemark[3]
-& 1.330 & 2.800 & 3.590 \\
-Ga& 0.310 & 16.70 & 3.330 &Cs\footnotemark[4]
-& 1.420 & 3.030 & 3.740 \\
-In& 0.460 & 18.40 & 3.500 &Ba\footnotemark[5]
-& 0.960 & 2.460 & 3.780 \\
-Tl& 0.480 & 18.90 & 3.550 & & & & \\
-\end{tabular}
-\end{ruledtabular}
-\footnotetext[1]{Here's the first, from Ref.~\onlinecite{feyn54}.}
-\footnotetext[2]{Here's the second.}
-\footnotetext[3]{Here's the third.}
-\footnotetext[4]{Here's the fourth.}
-\footnotetext[5]{And etc.}
-\end{table}
-for an illustration. 
-
-All AIP journals require that the initial citation of
-figures or tables be in numerical order.
-\LaTeX's automatic numbering of floats is your friend here:
-just put each \texttt{figure} environment immediately following 
-its first reference (\verb+\ref+), as we have done in this example file. 
-
-\begin{acknowledgments}
-We wish to acknowledge the support of the author community in using
-REV\TeX{}, offering suggestions and encouragement, testing new versions,
-\dots.
-\end{acknowledgments}
-
-\appendix
-
-\section{Appendixes}
-
-To start the appendixes, use the \verb+\appendix+ command.
-This signals that all following section commands refer to appendixes
-instead of regular sections. Therefore, the \verb+\appendix+ command
-should be used only once---to set up the section commands to act as
-appendixes. Thereafter normal section commands are used. The heading
-for a section can be left empty. For example,
-\begin{verbatim}
-\appendix
-\section{}
-\end{verbatim}
-will produce an appendix heading that says ``APPENDIX A'' and
-\begin{verbatim}
-\appendix
-\section{Background}
-\end{verbatim}
-will produce an appendix heading that says ``APPENDIX A: BACKGROUND''
-(note that the colon is set automatically).
-
-If there is only one appendix, then the letter ``A'' should not
-appear. This is suppressed by using the star version of the appendix
-command (\verb+\appendix*+ in the place of \verb+\appendix+).
-
-\section{A little more on appendixes}
-
-Observe that this appendix was started by using
-\begin{verbatim}
-\section{A little more on appendixes}
-\end{verbatim}
-
-Note the equation number in an appendix:
-\begin{equation}
-E=mc^2.
-\end{equation}
-
-\subsection{\label{app:subsec}A subsection in an appendix}
-
-You can use a subsection or subsubsection in an appendix. Note the
-numbering: we are now in Appendix~\ref{app:subsec}.
-
-\subsubsection{\label{app:subsubsec}A subsubsection in an appendix}
-Note the equation numbers in this appendix, produced with the
-subequations environment:
-\begin{subequations}
-\begin{eqnarray}
-E&=&mc, \label{appa}
-\\
-E&=&mc^2, \label{appb}
-\\
-E&\agt& mc^3. \label{appc}
-\end{eqnarray}
-\end{subequations}
-They turn out to be Eqs.~(\ref{appa}), (\ref{appb}), and (\ref{appc}).
-
-\nocite{*}
-\bibliography{aipsamp}% Produces the bibliography via BibTeX.
-
-\end{document}
-%
-% ****** End of file aipsamp.tex ******
-- 
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