File:Relaxation longitudinal magnetization.svg
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 800 × 333 pixels. Other resolutions: 320 × 133 pixels | 640 × 267 pixels | 1,024 × 427 pixels | 1,280 × 533 pixels | 2,560 × 1,067 pixels | 1,500 × 625 pixels.
Original file (SVG file, nominally 1,500 × 625 pixels, file size: 109 KB)
Captions
Captions
Relaxation of longitudinal magnetization back to equilibrium after a 90° excitation pulse.
Summary
[edit]
| Description |
English: After a 90° excitation pulse the longitudinal magnetization returns to the equilibrium state. The longitudinal relaxation time T1 is indicated in the graph.
Deutsch: Nach einem 90° Anregungspuls kehrt die longitudinale Magnetisierung zurück zum Gleichgewichtszustand zurück. Die longitudinale Relaxationszeit T1 ist im markiert. |
| Date | |
| Source | Own work |
| Author | FbrG |
Licensing
[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
MATLAB Code
[edit]
% general parameters
tEnd = 12000;
t = linspace(0, tEnd, 5000);
T1 = 2000; %ms
%% Longitudinal Magnetization
figure('Position', [100 100 1200 500])
hold on
axT1 = gca;
axT1.TickLabelInterpreter = 'latex';
set(axT1, 'Position', [0.2 0.1 0.7 0.8])
plot([0 tEnd], [1 1], 'k--', ...
'LineWidth', 2, ...
'color', 0.4*[1 1 1])
plot(t, 1-exp(-t/T1), ...
'LineWidth', 2);
plot([T1 T1], [0 1-exp(-1)], 'k--', ...
'LineWidth', 1, ...
'color', 0.4*[1 1 1])
plot([0 T1], [1-exp(-1) 1-exp(-1)], 'k--', ...
'LineWidth', 1, ...
'color', 0.4*[1 1 1])
ylim([0 1.1])
xlim([0 1.025*tEnd])
xticks([T1 1.025*tEnd])
xticklabels({'$T_1$', 't'})
yticks([0 1-exp(-1) 1])
yticklabels({'$0$', '$M_{z, \mathrm{eq}}(1-1/\mathrm e)$', '$M_{z, \mathrm{eq}}$'})
set(gca,'TickLength',[0, 0])
set(gca,'LineWidth', 1)
title('relaxation of longitudinal magnetization')
axT1.FontSize = 20;
saveas(gcf, 'relaxation longitudinal magnetization.svg')
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:56, 4 January 2021 | | 1,500 × 625 (109 KB) | FbrG (talk | contribs) | Uploaded own work with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
- Usage on it.wikipedia.org
