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The electronic structure, magnetism, and dielectric functions of BiFeO3 with intrinsic vacancies, including Bi-, Fe-, and O-vacancies (denoted as VFe, VBi, and Vo, respectively) are investigated using the first-principles density functional theory plus U calculations. It is revealed that the structural distortions associated with those vacancies impose significant influences on the total density of state and magnetic behaviors. The existence of VBi favors the excitation of the O2p state into the band gap at 0.4 eV, while the O2p and Fe3d orbitals are co-excited into the band gap around 0.45 eV in VFe- Consequently, a giant net magnetic moment of 1.96 P-B is generated in VFe, and a relatively small moment of 0.13 P-B is induced in VBi, whereas Vo seems magnetically inactive. The giant magnetic moment generated in VFe originates from the suppression of the spatially modulated antiferromagnetic spin structure. Furthermore, VFe and VBi have strong influences on dielectric function, and induce some strong peaks to occur in the lower energy level. In contrast, VO has a small effect.  相似文献   
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习题是数学教材的重要组成部分,做习题是数学学习活动不可或缺的一个环节,如何有效的利用习题,挖掘习题中的资源,提高课堂效率,是数学教师一个永恒的话题.数学教育理论认为:范例集中体现了教材和学生水平之间的矛盾和冲突,容易引起认识冲突,提高学习兴趣,从而获得关于事物关系的经验,认识更为抽象或总结性的规律.一个好的例子胜出一打说明.笔者结合各类试题,寻找活跃在各类试题中的同题异构.即一题多变,多题一解.从而使学生能“解一题,练一串,懂一类.”  相似文献   
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