The following picture shows the adiabatic electronic
potential energy surface of an excited state of the hydrogen molecular
ion in a strong magnetic field. The two coordinates are the internuclear
distance and the angle between the internuclear and magnetic field axis.
The topology of the surface is highly nontrivial and provides several local
minima even for the symmetry lowered configurations.

Molecules in strong magnetic fields
exhibit a very rich and complex nuclear dynamics.
The collective and electronic as
well as the vibrational and rotational motion show in a strong magnetic
field a qualitatively different behaviour from what we know in field-free
space.
Due to these facts it is particularly
important to develop models for the motion of the corresponding dynamical
systems.
The external field gives rise
to and influences:
Treshold phenomena (dissociative and ionization behaviour)
Chemical reaction dynamics
Symmetry breaking and binding mechanisms
Rotation-Vibration interaction and tunneling