  The systematics of energy staggering for the magnetic rotational bands with
$M1$ and $E2$ transition properties strictly consistent with the features of
good candidates of magnetic rotational bands in the $A\sim80$, 110, 130 and 190
mass regions are presented. The regularities exhibited by these bands
concerning the staggering parameter which increases with increasing spin are in
agreement with the semiclassical description of shears mechanism. In addition,
the abnormal behaviours in the backbend regions or close to band termination
have also been discussed. Taking the magnetic dipole bands with same
configuration in three $N=58$ isotones, i.e., $^{103}$Rh, $^{105}$Ag,
and~$^{107}$In, as examples, the transition from chiral rotation to magnetic
rotation with the proton number approaching $Z=50$ is presented. Moreover, the
self-consistent tilted axis cranking and principle axis cranking relativistic
mean-field theories are applied to investigate the rotational mechanism in
dipole band of $^{105}$Ag.
