Skip to main content
This site will look better in a browser that supports web standards, but it is accessible to any browser or Internet device.

QUESTIONS
» Pulse Sequences

How do we change image contrast? What are the effects of parameter changes? This section explores image contrast and image acquisition methods.

« Question list

Ernst Equation

Answer this...

What is the Ernst equation? When would you use it?

cos αE = exp(-TR/T1)

where αE is Ernst flip angle. This angle maximises the MR signal, when a TR is used which prevents full recovery of Mz. You can't just keep using 90° excitation pulses to maximise signal because, although after your first excitation you'd have loads of signal in the x-y plane, you'd have hardly any in the z-direction ready for the next excitation. For a particular TR, there will be some middle ground where a sufficiently large amount of magnetisation is rotated into the x-y plane for measurement, but a significant amount remains in the z-direction for the next pulse. The Ernst angle is the "ideal" angle.

So why don't we always use the Ernst angle for a chosen tissue of interest? The answer is, we are looking for contrast between tissues, not just a maximum SNR from one tissue.

Further reading on this topic:
Books: MRI From Picture to Proton p240, Q&A in MRI p104-105
Online: e-MRI

« Back to Pulse Sequences question list

 
(This page: http://www.revisemri.com/questions/pulse_sequences/ernst_equation)