Neutron-diffraction and magnetization experiments have been performed on a
single crystal of CoNb2O6 with an external magnetic field applied along dif
ferent directions within the ac plane. Intermediate magnetic phases with lo
ng periodicities along the b axis are observed. Exchange and crystal-field
parameters in a proposed model are determined by fitting the magnetization
curves, and the comparison between calculated and observed magnetic phase d
iagrams provides a severe test of the applied model. The behavior of the pr
opagation vector (0,k(y),0) at a transition point from an incommensurate ph
ase to a commensurate one in zero field and near a Lifshitz paint with a ma
gnetic field applied is discussed in the Light of theoretical consideration
s on multicritical phenomena.