| Such materials, which combine two or more "ferroic" properties in the same phase, are known as multiferroics. These materials may exhibit magnetoelectric coupling effect, which shows the prospect of controlling charges by applied magnetic fields and spins by applied voltages, and using this to construct new forms of multifunctional devices. It can provide a more degree of freedom for conventional sensor, actuator and memory. For example, the memories we already used are magnetic storage and ferroelectric RAM (FRAM). Magnetic storage adopt magnetic read and write with low reading speed and high writing speed, while FRAM adopt electric read and write with high the reading speed and low writing speed. If we use the magnetoelectric material as storage medium and carry out magnetic read and electric write, the super-high speed of read and write could be achieved. Besides, magnetoelectric materials still have the application potential in multi-state storage medium, spin magnetic resonance controlled by applied electric field, Piezoelectric sensors controlled by applied magnetic field, magneto-elastic transducer controlled by applied electric field, magnetic shield and so on. Therefore, the research of multiferroic materials has a very important significance both in theory and in technology and commerciality.In this thesis, we have done the following work:(1) We synthesized Bi and Mn co-doped BaTiO3 ceramics with the nominal composition of Ba1-xBixTi1-yMnyO3(0 |