File:Relaxation longitudinal magnetization.svg

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Summary

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
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 This diagram was created with MATLAB.

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Source code

The logo of MATLAB – numerical computing environment
The logo of MATLAB – numerical computing environment
This media was created with MATLAB (numerical computing environment)
Here is a listing of the source used to create this file.

Deutsch ∙ English ∙ +/−

% 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')

Captions

Relaxation of longitudinal magnetization back to equilibrium after a 90° excitation pulse.

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5 January 2021

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111,409 byte

0fddc5e060b7b08de8b14b0f0705ed54c5bd0375

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current18:56, 4 January 2021Thumbnail for version as of 18:56, 4 January 20211,500 × 625 (109 KB)imagescommonswiki>FbrGUploaded own work with UploadWizard

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