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A 2π quasi-periodical damping oscillation is shown in the variation in populations of two-level atoms with the time-dependent pulse area, which providers us with a rather good picture of atom behaviors under the influence of abitrary strong laser pulses. 二能级原子各态几率随脉冲面积的变化过程将呈现2π准周期衰减振荡,这一结果可为研究任意强激光脉冲作用下的原子行为提供很好的普遍演变图象. The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis. 应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程,证明了周期衰减解的存在性。 LiMg 0.02Zn 0.05Mn 1.93O 4 was found to be a good cathode material for lithiumion ion battery through our study on doped LiMn 2O 4. The specific capacity of LiMg 0.02Zn 0.05Mn 1.93O 4 is 98mAh/g under high electric current (50mA/g≈0.5C). During the stable fading process, 0.0057mAh/g is lost per cycle. With LiMg 0.02Zn 0.05Mn 1.93O 4 as the cathode material, the price and cycle life of lithiumion ion battery will be ameliorated greatly.$ 通过对尖晶石型 Li Mn2 O4进行掺杂研究 ,发现 Li Mg0 .0 2 Zn0 .0 5Mn1 .93 O4是一种很好的锂离子电池正极材料 .Li Mg0 .0 2 Zn0 .0 5Mn1 .93 O4的大电流 ( 5 0 m A/g≈ 0 .5 C)比容量可达 98m Ah/g,在稳定衰减期 ,平均每循环周期衰减0 .0 0 5 7m Ah/g.采用 Li Mg0 .0 2 Zn0 .0 5Mn1 .93 O4作为锂离子电池的正极材料 ,可以使锂离子电池在价格和循环寿命上都得到很大的改变 .
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