In the present embodiment, the path that the particle beam T must travel through the magnetic field and the strength of the magnetic field are coordinated in such a way that after passing the magnetic field, the spin vector component s is rotated by 90° about the direction of motion. In the coordinate system that is coupled with the spin vector, this means that the coordinate system is rotated by 90° about the Z-axis. Therefore, if a spin vector has a specific orientation in the coordinate system A, it will have that orientation in the coordinate system B after passing through the spin rotator when the magnetic field turned on. In other words, the spin vector is still represented by the same value of the X-coordinate, the Y-coordinate and the Z-coordinate but with the coordinate system coupled therewith rotated by 90° about the Z-coordinate. Because in the present embodiment, only electrostatic deflections occur after passing through the magnetic field of the spin rotator
1, which do not affect the orientation of the spin vector, the direction of motion of the particle beam T then corresponds to the Y-direction of the coordinate system linked with the spin vector after passing through the electrostatic deflection element
7. Therefore, the X-component and the Z-component are measured in the micro Mott detector
9. The absence of any effect on the orientation of the spin vector simplifies in particular the illustration of the present invention, but it is not necessary for the functioning of the invention. Even if there is a magnetic deflection or other effect on the particle beam which affects the orientation after it passes through the spin rotator
1, the invention can still be executed as long as the spin is not rotated so far about the original direction of motion in the magnetic effect that the rotation caused by the spin rotator
1 is completely compensated again. However, it is advantageous if there is no more magnetic effect, which could rotate the spin about the original direction of motion (Z-direction in
FIG. 1), on the particle beam after it passes through the spin rotator
1. On the other hand, a rotation of the spin about the “new” direction of motion of the particle beam after passing through the deflection device
7 (X-direction when the coil is turned off, as shown in the coordinate system A, and Y-direction when the coil is turned on, as shown in the coordinate system B), is not critical because it leaves the spin vector components that are situated on the plane that is perpendicular to the direction of motion in that plane. It is in particular advantageous, however, if the particle beam is influenced only electrostatically on the path to the detector
9 to be able to reliably rule out undesired influences of magnetic fields on the orientation of the spin.