File:Relaxation longitudinal magnetization.svg

Original file (SVG file, nominally 1,500 × 625 pixels, file size: 109 KB)

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

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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

% 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.

Items portrayed in this file

depicts

5 January 2021

image/svg+xml

111,409 byte

0fddc5e060b7b08de8b14b0f0705ed54c5bd0375

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current23:56, 4 January 2021Thumbnail for version as of 23:56, 4 January 20211,500 × 625 (109 KB)FbrGUploaded own work with UploadWizard

The following page uses this file:

Global file usage

The following other wikis use this file:

Metadata