File:Photon Cross Sections.png
Summary
Description | Cross-sections for photons in energy range from 1 keV to 20 MeV for Elements Z = 1 to 100. Based on . 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 |
The image was generated using the following MATLAB code, with help of external library PhotonAtenuattion2 archive copy at the Wayback Machine:
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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Licensing
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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