MRI PHYSICS FOUNDATIONS · LESSON 08

Flip angle made simple.

See how far an RF pulse tips net magnetization and why the best angle depends on the sequence.

About 9 minutesVisual angle guide3 knowledge checks
30°
60°
90°
01EXPLAIN

HOW FAR MAGNETIZATION TIPS

Flip angle describes rotation.

An RF pulse moves net magnetization away from its equilibrium direction. The flip angle is the intended angle through which the magnetization is rotated.

In a simple, fully relaxed model, a 90° excitation places the net magnetization into the transverse plane. A smaller excitation angle tips only part of it toward the transverse plane and leaves more longitudinal magnetization available.

IN PLAIN LANGUAGEFlip angle tells us how far the RF pulse asks the net magnetization to tip.
02VISUALIZE

COMPARE THE TILT

A smaller tip preserves more longitudinal magnetization.

SMALLER ANGLEα < 90°

Less magnetization is tipped into the transverse plane, while more remains longitudinal.

RIGHT ANGLEα = 90°

In the basic model, the longitudinal vector is rotated into the transverse plane.

REFOCUS OR INVERT180°

A 180° pulse can refocus or invert magnetization, depending on when and how the sequence uses it.

The actual flip angle can differ from the prescribed angle because RF field strength may vary across the anatomy. Later lessons will connect this to B1 inhomogeneity and image shading.

03CONNECT

FLIP ANGLE WORKS WITH TR

No flip angle works best for every image.

Small flip angles are especially useful in gradient-echo imaging because they preserve longitudinal magnetization and can support rapid repetition. The resulting signal and contrast depend on the flip angle together with TR, tissue T1, TE, and the sequence design.

PRESERVE MzFLIP ANGLECREATE Mxy
THE ERNST ANGLE

For a spoiled gradient-echo sequence at a given TR and tissue T1, the Ernst angle is the theoretical flip angle that maximizes steady-state signal. Clinical imaging may choose a different angle to favor contrast, speed, or other goals.

04REMEMBER

THE TIPPING CUP ANALOGY

Tip a little or tip a lot.

Imagine a full cup standing upright. A small nudge tilts it only a little, leaving most of its height upright. A 90° turn places it fully on its side. Flip angle describes the amount of that rotation, not whether the final image will automatically be bright or dark.

Remember: Flip angle tells how far, not how bright.

05APPLY

CHECK YOUR UNDERSTANDING

Connect the angle to the magnetization.

What does flip angle describe?

It describes the intended rotation of net magnetization produced by an RF pulse.

Why can a smaller flip angle support a shorter TR in gradient-echo imaging?

It leaves more longitudinal magnetization available for the next excitation, reducing the amount that must recover between repetitions.

Does increasing flip angle always make the image brighter?

No. Signal and contrast depend on flip angle together with TR, tissue T1, TE, sequence design, and other factors.

LESSON 08 COMPLETE

You understand what flip angle controls.

Educational references

This lesson uses a simplified vector model. Flip-angle behavior varies with pulse sequence, steady state, tissue properties, RF field distribution, and system calibration.