X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=blobdiff_plain;f=solid_state_physics%2Ftutorial%2F1_02s.tex;h=6f08caecf9e8fedfaf67681a73ff067a5fa3ae13;hp=a3e9b9352ec15efaafd8fe833953963bb8ce9fbb;hb=880b12e8055a1450cfeed695d718159e8b5bc100;hpb=e1baa24b5ae38fb8f0e1e09dc6aa30d99f1fedba

diff --git a/solid_state_physics/tutorial/1_02s.tex b/solid_state_physics/tutorial/1_02s.tex
index a3e9b93..6f08cae 100644
--- a/solid_state_physics/tutorial/1_02s.tex
+++ b/solid_state_physics/tutorial/1_02s.tex
@@ -16,6 +16,7 @@
 \usepackage{pstricks}
 \usepackage{pst-node}
 \usepackage{rotating}
+\usepackage{eepic}
 
 \setlength{\headheight}{0mm} \setlength{\headsep}{0mm}
 \setlength{\topskip}{-10mm} \setlength{\textwidth}{17cm}
@@ -143,6 +144,7 @@
 	     $\Rightarrow
 	      M_1M_2\omega^4-2C(M_1+M_2)\omega^2+2C^2(1-\cos(ka))=0$
       \end{itemize}
+\newpage
 \item \begin{eqnarray}
       \omega^2&=&C\left(\frac{2C(M_1+M_2)}{2M_1M_2}\right)\pm
                  \sqrt{\frac{4C^2(M_1+M_2)^2}{4M_1^2M_2^2}-
@@ -154,6 +156,59 @@
                  C\sqrt{\left(\frac{1}{M_1}+\frac{1}{M_2}\right)^2-
 	                \frac{2(1-\cos(ka))}{M_1M_2}} \nonumber
       \end{eqnarray}
+      \begin{figure}[!h]
+
+% GNUPLOT: LaTeX picture using EEPIC macros
+\setlength{\unitlength}{0.120450pt}
+\begin{picture}(3000,1800)(0,0)
+\footnotesize
+\color{black}
+\color{black}
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+\color{black}
+\put(681,900){\makebox(0,0)[l]{\shortstack{}}}
+\color{black}
+\color{black}
+\put(2398,900){\makebox(0,0)[l]{\shortstack{}}}
+\color{black}
+\color{black}
+\put(1499,41){\makebox(0,0){}}
+\color{black}
+\color{black}
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+\color{black}
+\put(681,124){\makebox(0,0)[l]{}}
+\color{black}
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+\put(2550,800){\makebox(0,0)[r]{$\sqrt{\frac{2C}{M_1}}$}}
+\put(2350,-10){\makebox(0,0)[r]{$\frac{\pi}{a}$}}
+\put(1500,-30){\makebox(0,0)[r]{$k$}}
+\put(700,-10){\makebox(0,0)[r]{$0$}}
+\put(650,1500){\makebox(0,0)[r]{$\sqrt{2C(\frac{1}{M_1}+\frac{1}{M_2})}$}}
+\put(600,800){\makebox(0,0)[r]{$\omega$}}
+\put(1800,1000){\makebox(0,0)[r]{$M_1>M_2$}}
+\put(1989,1636){\makebox(0,0)[r]{optical branch}}
+\color{red}
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+\color{black}
+\thicklines \path(681,1718)(681,82)(2317,82)(2317,1718)(681,1718)
+\color{black}
+\end{picture}
+
+      \end{figure}
       \begin{itemize}
        \item $ka\ll 1$:\\
              $\rightarrow \cos(ka)\approx 1-\frac{1}{2}k^2a^2$ (Taylor)\\