The harmonic oscillator is a model which has several important applications in both classical and... more The harmonic oscillator is a model which has several important applications in both classical and quantum mechanics. It serves as a prototype in the mathematical treatment of such diverse phenomena as elasticity, acoustics, AC circuits, molecular and crystal vibrations, electromagnetic fields and optical properties of matter.
We report Al doped ferrites La 1 -x Al x FeO 3 (x = 0, 0.3) as an electrode material for supercap... more We report Al doped ferrites La 1 -x Al x FeO 3 (x = 0, 0.3) as an electrode material for supercapacitor design. The La 1 -x Al x FeO 3 has been synthesized via chemical route. Structural and microstructural evolution has been carried out by X-ray diffraction (XRD) analysis and field emission scanning electron microscopy (FESEM) respectively. The electrode property of La 1 -x Al x FeO 3 has been evaluated by using three electrode systems, glassy carbon (working), Pt (counter) and Ag/AgCl (reference electrode) with H 2 SO 4 as the electrolyte. The Al doped ferrites show better cycle life (~250) and columbic efficiency (η) (~96%) in comparison to un-doped lanthanum ferrite sample. An increase in specific capacitance (~1.5 times) has also been observed in Al doped lanthanum ferrite in comparison to lanthanum ferrite. The maximum specific capacitance for Al doped lanthanum ferrite is ~260 F/g as compared to lanthanum ferrite ~200 F/g. The improved specific capacitance, columbic efficiency and cycle life of Al doped ferrites may be related to a relative decrease in equivalent series resistance (95 Ω for LFO to 55 Ω LAFO) and lower M.W. of Al doped lanthanum ferrite.
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