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\title{
Direct Observation of Lattice Polaron Formation
in the Local Structure of
$\bf La_{1-x}Ca_xMnO_3$  
 }

\author{S. J. L. Billinge,$^1$ R. G. DiFrancesco,$^1$
	G. H. Kwei,$^2$ J. J. Neumeier$^3$ and J. D. Thompson$^3$}
\address{
$^1$Department of Physics and Astronomy and Center for
Fundamental Materials Research,\\
Michigan State University, East Lansing, MI 48824-1116.\\
$^2$Chemistry and Materials Sciences Department,
Lawrence Livermore National Laboratory, Livermore, CA 94550.\\
$^3$Los Alamos National Laboratory,
Los Alamos, NM 87545.}

\date{12th April 1996}
\maketitle
\widetext

\begin{abstract} 
The local atomic structure of $\rm La_{1-x}Ca_{x}MnO_3$ ($x= 0.12,$
transition in these materials.
\end{abstract}
\pacs{71.30+h,71.38.+i,61.12-q,72.80.Ga}
]

\narrowtext

$\ldots$

Examples of the transformed data are shown in Fig.~\ref{fig;dat}.
%
\begin{figure}[htb]
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\caption{PDFs obtained from the $\rm La_{0.88}Ca_{0.12}MnO_3$ sample.  
The solid line shows the PDF collected at 150~K and the dashed line
at 180~K.  The difference curve, $\Delta = G(150K) -  G(180K)$,
is plotted below the data.  The dashed lines on the difference curve
indicate the expected fluctuations, based on the counting statistics
of the data, at the level of two standard deviations. The data reproduce
at the level of the expected fluctuations which demonstrates the
reproducibility that can be expected from the experimental PDFs.
\protect\label{fig;dat}} 
\end{figure}
%
Two data sets are shown to illustrate the level of reproducibility


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\begin{thebibliography}{10}

\bibitem{jonke;p50}
G.~M. Jonker and J.~H. van Santen,
\newblock Physica (Utrecht) {\bf 16}, 337 (1950);
E.~O. Wollan and W.~F. Koehler,
\newblock Phys. Rev. {\bf 100}, 545 (1955);
C.~W. Searle and S.~T. Wang,
\newblock Can. J. Phys. {\bf 47}, 2703 (1969);
{\it ibid}, {\bf 48}, 2023 (1970).


\end{thebibliography}


\end{document}