File:Photon Cross Sections.png

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Summary

Description Cross-sections for photons in energy range from 1 keV to 20 MeV for Elements Z = 1 to 100. Based on [1]. Also shown are locations of photons absorption edges (and not Compton edges as mentioned in the comments from the Matlab code).
Date
Source Own work
Author Jarekt
 
This diagram was created with MATLAB.

The image was generated using the following MATLAB code, with help of external library PhotonAtenuattion2:

figure
Z = 1:100; % elements with Z in 1-100 range
E = logspace(log10(0.001), log10(20), 500);  % define energy grid
X = PhotonAttenuation(Z, E, 'cross section');
colormap(jet(128)) % use hi-res color palette
imagesc(log10(X)); 
grid on;
axis xy; % put small numbers on y axis on the bottom
title({'Cross Sections of Elements for Different Energy Photons',...
       ' In barns/atom or in 10^{-24} cm^2'});
xlabel('Atomic Number of Elements');
ylabel('Energy in MeV');
% Add X-Axis 
EPos = [6 16 26 35 47 55 65 74 82 94];   % define array to store label location
ELab = { '6-C','16-S','26-Fe','35-Br','47-Ag','55-Cs','65-Tb','74-W','82-Pb','94-Pu'}; %Define Energy labels for y-axis
set(gca,'XTick'     ,EPos);
set(gca,'XTickLabel',ELab);
% Add Y-Axis
ELab = [0.001 0.003 0.01 0.03 0.1 0.3 1 3 10]; %Define Energy labels for y-axis
EPos = size(ELab);   % define array to store label location
for i=1:length(ELab), [tmp EPos(i)]=min(abs(E-ELab(i))); end
set(gca,'YTick'     ,EPos);
set(gca,'YTickLabel',ELab);
% add Colorbar
cbar_axes = colorbar;
set(cbar_axes,'YTick'     ,     -1:6 ); % The image is a log10 of the MAC ...
set(cbar_axes,'YTickLabel',10.^(-1:6)); % ... so add proper labels
hold on
% Add Conpton Edges to the plot
[tmp, CEdge] = PhotonAttenuationQ(Z, E);
ed = accumarray([CEdge(:,1),CEdge(:,2)],CEdge(:,3)); % get per element energies of 14 compton edges 
ed = 500*(log(ed')-log(0.001))/(log(20)-log(0.001)); % convert energy to row numbers of the image
K=plot(ed(:,1)    ,'m','LineWidth',3); %Plot K Compton edge
L=plot(ed(:, 2: 4),'b','LineWidth',2); %Plot 3 L Compton edges
M=plot(ed(:, 5: 9),'g','LineWidth',2); %Plot 5 M Compton edges
N=plot(ed(:,10:end),'y','LineWidth',2); %Plot first 5 N Compton edges
legend([K(1),L(1),M(1),N(1)], {'K','L','M','N'}, 'Location', 'NorthEast');


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27 September 2007

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Date/TimeThumbnailDimensionsUserComment
current03:28, 27 September 2007Thumbnail for version as of 03:28, 27 September 20071,280 × 929 (55 KB)wikimediacommons>Jarekt{{Information |Description='''Cross-sections''' for photons in energy range from 1 keV to 20 MeV for Elements Z = 1 to 100. Based on [http://physics.nist.gov/PhysRefData/XrayNoteB.html]. Also shown are locations of Compton edges. |Source=self-made |Date=9

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