CsFeCl3 is a quasi-one-dimensional (1D) magnetic system with a singlet
ground state. The Fe2+ ion has an effective spin S = 1. Experimental
results in a magnetic field applied perpendicular to the anisotropy ax
is show that the excited states (doubly degenerate in zero field) spli
t and shift to higher frequencies with increasing field. The splitting
of the high-frequency modes is very small compared to the instrumenta
l resolution. Only polarisation analysis of inelastic neutron scatteri
ng made it possible to observe the splitting everywhere in reciprocal
space. The frequency shift of the two modes with field is different su
ch that a mode crossing appears for fields below about 4 T.