The result shows that with the addition of rare earth elements , ultrasonic irradiation and magnetic field , the chemical component , surface configuration , microstructure and properties of electroless co - ni - b and co - fe - b alloy changes remarkably . such kind of change can be described as the followings . firstly the depositing speed of electroless alloy bath is raised while the polarizability and cathodic overpotential are reduced ; secondly the surface quality of the alloy coating and adhesion of the coating and matrix are improved ; thirdly in the coatings the content of the elements in the transient group increases , but the content of cobalt decreased ; fourthly the amorphous structure is transformed to microcrystal structure and polycrystal structure ; fifthly the microhardness and wear resistance of the coating are enhanced ; sixthly coercitive force is reduced , and magnetoconductivity of the coating is increased ; lastly the magnetic intensity of the coating increases with the addition of energy and light rare earth elements such as ce , la and decreases with the addition of heavy rare earth elements such as y . on the other side , when the alloy coatings passes through the heat treatment under the temperature of 250 or 500 , their properties will change 结果显示化学沉积co - ni - b 、 co - fe - b工艺在稀土元素( ce 、 la 、 y 、 dy ) 、能量(超声波、磁场)介入后，沉积过程、合金成分、镀层形貌结构和性能都有显著变化，表现在：镀液的阴极极化过电位和极化度降低，沉积速度提高；镀层的结合力、表面质量改善；镀层中过渡族元素的含量增加，轻元素硼的含量降低，同时证实了稀土元素与过渡族元素共沉积的可能性；镀层的显微结构由非晶态向微晶和多晶态转变；镀层的显微硬度与耐磨性提高，力学性能优化；镀层的矫顽力降低；磁导率提高；镀层的磁化强度在能量(超声波、磁场)和轻稀土元素ce 、 la介入后提高，重稀土元素y介入后降低。
The finer the grain is , the higher the magnetic properties are , such as the improvement of coercivity . according to the theory of remanence , the intensity of remanence is in direct proportion to the density of magnet and ms . the improvement of remanence resulted from the interaction of density of magnet and ms , but the ms took the more important role 究其原因：晶粒的细化可以提高磁体的矫顽力；而根据剩磁的理论公式，剩磁与磁体密度和饱和磁化强度成正比，剩磁的提高是磁体密度和饱和磁化强度的提高的综合效果，但其中饱和磁化强度的提高占主导地位。
And then , we specially study the effect of spin interaction ' s anisotropy on the critical temperature tc . from what we have observed we suggest that the critical temperatur tc grows as the anisotropy intensifies , while the system magnetization becomes weaker . the system becomes id if the anisotropy ratio r goes to infinity , and its equilibrium state keeps zero magnetization at any finite temperature , which confirm that there is no observable transition for id system 其后，着重研究了自旋相互作用的各向异性程度r对其临界温度t _ c的影响，总结出：随着系统各向异性程度的增强，系统的临界温度向高温转移，而系统的磁化强度在不断的减弱；当r趋近于无穷大时，系统演变为一维系统，系统在任何有限温度下达到的平衡态始终保持磁化强度为零，这也证实了一维系统不发生相变
