# Contour plot of concentration of chemical species

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Hi. I am releasing a chemical species CHX (N units) in a chamber. The size of the chamber is 100 X 100 X 100 cms^3. I want to plot the contour/surface plot of concentration of this chemical species in the chamber at different spatial locations.

I want to look at the concentration profiles overlapped or plotted on one plane, say X-Y plane (100 X 100 cm^2).

I am using a digital chemical analyzer which gives the X and Y vectors, X and Y which give the spatial location. Each and every (X,Y) corresponds to a spatial location at which the chemical species is present.

For example, if a given (X,Y) shows up "m" times it, means that there are "m" units of that species at that location. In my surface plot, at that particualr (X,Y), I want the value to be m/N (with some colormap). The same is with other (X,Y) locations.

Can someone help me with this?

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### Accepted Answer

Star Strider
on 10 Nov 2019

Try this example:

xy = randi(9, 100, 2); % Matrix Of ‘x’ and ‘y’ Positions

[Uxy,ia,ic] = unique(xy, 'rows'); % Unique Rows

tally = accumarray(ic, 1); % Tally Numbers Of Unique Row Repeats

Freq = [Uxy, tally]; % Concatenated Matrix

xv = min(xy(:,1)):max(xy(:,1)); % ‘x’ Vector For Interpolation

yv = min(xy(:,2)):max(xy(:,2)); % ‘y’ Vector For Interpolation

[X,Y] = ndgrid(xv,yv); % Create Interpolation Grid

Z = griddata(Freq(:,1), Freq(:,2), Freq(:,3), X, Y); % Interpolated Grid Of ‘tally’ Values

figure

contourf(X, Y, Z) % Contour Plot

colorbar

Experiment to get the result you want.

##### 8 Comments

Star Strider
on 14 Nov 2019

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