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循环小数的奇妙性质 被引量:4
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作者 张世德 《河南师范大学学报(自然科学版)》 CAS CSCD 2002年第3期11-14,共4页
文 [1]中叙述了三个‘世界上数学家还没有解决的难题 ,即所谓世界难题 .’本文部分地讨论了第二个问题 ,发现在一定条件下 ,许多分数的循环节作为一个数都是 9的倍数 ,证明一类分母是合数的真分数也具有文
关键词 同余 循环小数 Fermat-Euler定理 循环 循环位数 数论 真分数
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Electrochemical behavior of Fe(Ⅲ)in Na_(2)SiO_(3)-SiO_(2)-Fe_(2)O_(3)molten salt
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作者 FENG Sen ZHANG Jun-jie +4 位作者 DIOP Mouhamadou Aziz LIU Ai-min WANG Zhao-wen BOCA Miroslav SHI Zhong-ning 《Journal of Central South University》 SCIE EI CAS CSCD 2024年第9期3024-3033,共10页
The high-temperature requirement for liquid iron smelting via molten oxide electrolysis presents significant challenges.This study investigates the electrochemical reduction of Fe(Ⅲ)in a novel low-temperature electro... The high-temperature requirement for liquid iron smelting via molten oxide electrolysis presents significant challenges.This study investigates the electrochemical reduction of Fe(Ⅲ)in a novel low-temperature electrolyte,Na_(2)SiO_(3)-SiO_(2)-Fe_(2)O_(3),utilizing cyclic voltammetry and square wave voltammetry techniques.The results show that Fe(Ⅲ)reduction occurs in two steps:Fe(Ⅲ)+e^(−)→Fe(Ⅱ),Fe(Ⅱ)+2e^(−)→Fe,and that the redox process of Fe(Ⅲ)/Fe(Ⅱ)at the tungsten electrode is an irreversible reaction controlled by diffusion.The diffusion coefficients of Fe(Ⅲ)in the molten Na_(2)SiO_(3)-SiO_(2)-Fe_(2)O_(3)in the temperature range of 1248–1278 K are between 1.86×10^(−6)cm^(2)/s and 1.58×10^(−4)cm^(2)/s.The diffusion activation energy of Fe(Ⅲ)in the molten salt is 1825.41 kJ/mol.As confirmed by XRD analysis,potentiostatic electrolysis at−0.857 V(vs.O_(2)/O_(complex)^(2-))for 6 h produces metallic iron on the cathode. 展开更多
关键词 molten oxide electrolysis(MOE) electrochemical behavior cyclic voltammetry potentiostatic electrolysis diffusion coefficients Fe(Ⅲ)
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