A theory of the antiferro-quadrupolar (AFQ) ordering is developed for a wea
k-crystal-field system TmTe. Based on a classical description of multipoles
we show how the magnetic-field anisotropy of AFQ transition temperature is
related with the order-parameter symmetry and the type of crystal held. Th
e correlations between spontaneous and field-induced magnetic orders are di
scussed in connection with the stability of the AFQ state. (C) 2000 Elsevie
r Science B.V. All rights reserved.