Phase transitions

5 Replies to “Phase transitions”

1. I think there is an error in compiling due to graph 3.

   Reply

   1. Hey Jet, thank you for the heads up! HTML does not like ‘<', but it should be fixed now. Cheers, Izaak

      Reply

2. Hello,

   in the heating curve plot, I saw the following:

   \coordinate (Ex) at ($(EI-O)$); % x evaporation
   \coordinate (Ey) at ($(E-IO)$); % y evaporation

   I couldn’t find in the documentation what the EI-O and the E-IO do to the coordinates. Would you be able to explain briefly? I studied the output, but could not make sense of what the question is doing.

   Thank you,

   J.

   Reply

   1. Hi,

      It is explained in Section 13.3 in the manual, have a look here:
      https://tikz.dev/tikz-coordinates#tikz-lib-calc

      Maybe it’s more clear from this simple example:

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      \documentclass[border=3pt,tikz]{standalone}
      \tikzset{>=latex} % for LaTeX arrow head
      \usepackage{xcolor}
      \colorlet{mygreen}{green!80!black}
      \begin{document}
      % PROJECT COORDINATES
      \begin{tikzpicture}[scale=0.8]
         \draw[black!40,step=0.5] (0,0) grid (4,3);
         \draw[->,thick] (0,0) -- (4.5,0); % x axis
         \draw[->,thick] (0,0) -- (0,3.5); % y axis
         \fill[black] (0,0) coordinate(O) circle(2pt) node[below left] {$O$};
         \fill[mygreen] (3,2) coordinate(R) circle(2pt) node[above right] {$R$};
         \fill[blue] (R|-O) coordinate(X) circle(2pt) node[below] {$X$}; % project on horizontal line through O
         \fill[red] (R-|O) coordinate(Y) circle(2pt) node[left] {$Y$}; % project on vertical line through O
         \draw[->,thick,mygreen] (R) -- (X);
         \draw[->,thick,red] (R) -- (Y);
      \end{tikzpicture}
      % PROJECT LINES
      \begin{tikzpicture}[scale=0.8]
        \draw[black!40,step=0.5] (0,0) grid (4,3);
        \draw[->,thick] (0,0) -- (4.5,0); % x axis
        \draw[->,thick] (0,0) -- (0,3.5); % y axis
        \fill[black] (0,0) coordinate(O) circle(2pt) node[below left] {$O$};
        \fill[mygreen] (3,2) coordinate(A) circle(2pt) node[above right] {$A$};
        \fill[blue] (1,1) coordinate(B) circle(2pt) node[above right] {$B$};
         \draw[->,thick,mygreen] (A) -| (B); % horizontal, then vertical
         \draw[->,thick,blue] (A) |- (B); % vertical, then horizontal
      \end{tikzpicture}
      \end{document}
       
       
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      Run LaTeX here

      Basically (R|-O) projects the (R) coordinate onto a horizontal line line through (O), while (R|-O) projects (R) onto a vertical line line through (O). I do not think the dollar signs are actually needed in this case (they are syntax for the calc library to operate on coordinates, like subtraction, addition, scaling, interpolation, etc.).

      In the second example, you see that you can also use |- and -| to draw a line with a 90° angle between two coordinates: -| is “horizontal, then vertical”, |- is “vertical, then horizontal”.

      Cheers,

      Izaak

      Reply

3. Hi everyone,

   Could someone assist me with creating a T-V thermodynamic diagram using TikZ? I would like the diagram to include the following elements:

   Isocoric Lines (constant volume lines)
   Isobaric Lines (constant pressure lines)
   Shaded regions to represent the liquid phase, saturated phase, and vapor phase.
   I can provide a reference image for clarity if needed.

   Thank you for your help!

   Best regards,

   Reply