The effect is very prominence for the properties of magnetopolaron in an ionic crystal or polar semiconductor to character of an ionic crystal or polar semiconductor.With development of material science and experiment technology

magnetopolaron in an ionic crystal or polar semiconductor have been attention abroad. Many investigators studied the properties of the magnetopolaron by means of various theoretical methods and experimental methods. Wu

et al

. studied properties of two-dimensional polaron in magnetic field with Feynman path integral methods. Lassning investigated the theory of resonant polarons in narrow gap semiconductors by using variational method. Wei

et al

. studied properties of an interface polaron in a magnetic field of arbitrary strength by using Green function method. Nadkour discussed effect of magnetic field on surface polaron states in doped semiconductor. Brancus and Stan investigated energy levels of an anisotropic three-dimensional polaron in a magnetic field with Winger-Brillouin theory. Wollf studied bound magnetic polarons in dilute magnetic semiconductors. Stankiewicz

et al

. studied magnetization of bound magnetic polaron in Ga doped Cd

1-x

Mn

x

Te.Tokuda

et al

. investigated the surface polaron and phase diagram and phase-transtion-like behaviour in the problems of different types of polaron by using improved Huybrechts method. Chen

et al

. discussed the properties of bound magnetopolaron by using linear combination operator.The effective mass properties of bound polaron in a magnetic field is studied by using improved linear combination operator and unitary transformation methods. The relation of vibration frequency and the effective mass of both weak-and strong-coupling bound magnetopolaron to the magnetic field and Coulomb potential are discussed. Numerical calculation for RbCl crystal

as an example

were performed and the results illustrate that the vibration frequency and the effective mass of strong-coupling magnetopolaron will increase with increasing magnetic field and Coulomb potential. The variety trend of vibration frequency of weak-coupling magnetopolaron to magnetic field and Coulomb potential has the similarity character. But the effective mass of weak-coupling magnetopolaron has no relation with magnetic field and Coulomb potential only increase with increasing coupling coefficient when coupling coefficient is limited in certain range.