中文摘要：

用响应面法优化了低温碳热还原合成LiFePO4/C的工艺,用中心组合设计研究了蔗糖用量、焙烧温度、焙烧时间和低温反应温度四因素对放电比容量的影响。结果表明,放电比容量与四因素关系符合二次模型,焙烧温度和蔗糖量以及两者的交互作用对放电比容量影响较为显著,各个因素的二次方影响高度显著。由模型得出的最优操作条件为：焙烧温度718℃;焙烧时间10.88 h;蔗糖量0.866 g g 1LiFePO4;热处理温度105℃。该条件下LiFePO4/C的实际放电比容量为140.6 mA h g 1,与模型预测值142.03 mA h g 1无显著差异。

英文摘要：

A low-temperature carbothermal reduction method was used to prepare the LiFePO4/C composites,and the response surface methodology was used to optimize the preparation process parameters.The sucrose amount,sintering temperature,sintering time and heating temperature were selected as four independent variables.The experimental data were collected by the central composite rotatable design（CCD）,and the effects of the above four independent variables on the discharge capacity of the prepared LiFePO4/C were studied.A quadratic formula was obtained by response surface analysis between the discharge capacity of the prepared LiFePO4/C and the four parameters.The discharge capacity of the prepared LiFePO4/C depends more on the sintering temperature and sucrose amount than the other variables.The quadratic term of the four parameters,the sintering temperature,the sucrose amount and the interaction between the later two parameters have significant effects on the discharge capacity of the prepared LiFePO4/C.The obtained model reveals that the optimized LiFePO4/C preparation parameters are as follows： sintering temperature of 718℃,sucrose amount of 0.866 g.g.1 LiFePO4,10.88 h sintering time and heating temperature of 105℃.Under these conditions,the actual discharge capacity of the prepared LiFePO4/C is 140.6mA.h.g.1,and this value does not significantly different from that predicted by the model（142.03 mA.h.g.1）.