Study of Fractal Dimension and Porosity of Li 2 TiO 3 Used as a Battery

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Study of Fractal Dimension and Porosity of Li2TiO3 Used as a Battery C.G. Nava-Dino1, P.I Cordero-De Los Rios1, R.A. Acosta-Chávez1, N.L. Mendez-Mariscal1, J.E. Mendoza-Negrete2, J.G. Chacón-Nava3, and A. Martínez-Villafañe3 1

Universidad Autónoma de Chihuahua, Facultad de Ingeniería. Chihuahua, Circuito No 1., Campus Universitario 2 Chihuahua, Chih. C.P. 31125, México. 2

Universidad Autónoma de Chihuahua, Facultad de Filosofía y Letras. Chihuahua, Rua de las Humanidades s/n, Campus Universitario I. Chihuahua, Chih., México 3

Departamento de Integridad y Diseño de Materiales Compuestos/Grupo Corrosión. Centro de Investigación en Materiales Avanzados. S.C. CIMAV. Miguel de Cervantes No 120 Complejo Industrial Chihuahua, C.P 31109, Chihuahua, Chih. México. ABSTRACT Lithium ion batteries are becoming more important because of their high energy density and design flexibility. The capacity of these batteries is usually cathode limited; so, it follows that increasing the capacity of the cathode is essential to raise the performance of such batteries. In this work, fractal dimension study is used to understand the behavior of a Li2TiO3 made by mechanical milling, as a way to improve their uses in energy storage. Digital image analysis allows the study of fractal dimension; X-ray, Scanning Electron Microscopy (SEM) and Transmission Electron Microscopy (TEM) analysis were used to analyze changes on the surface of samples from the current results the distinctive characteristics of the surfaces for each sample may be obtained, making it possible to predict a future behavior of the samples. MATLAB software FRACLAB 2.03 developed by INRIA was used as a tool. INTRODUCTION Rechargeable lithium-ion batteries are widely used today as the main power sources for portable electronics and have a promising application in future transportation and large-scale energy storage. Particularly, to meet demands the high energy density, long cycle life, and environmental friendliness for electric vehicles (EVs) and hybrid electric vehicles (HEVs), various electroactive materials have been explored as alternatives to replace current carbonaceous anode in which has these materials have a limited theoretical capacity of372 mAh g−1. In the past two decades, many researchers focused on metallic or semi-metallic elements which can alloy with lithium reversibly and release a high Li-storage capacity [1-2].

Seemingly, one of the best solutions for these systems is the Li ion battery (LIB) that exhibits great potential for outstanding performance. The high energy density of LIBs has been produced commercially, but the low rate capability of LIBs has limited its use in important applications such as hybrid electric vehicles (HEVs) and portable power tools that require fast charging and discharging [2]. Since the isolation of graphene in 2004, excitement has been widespread among scientists due to its exceptional properties. Graphene is ideally suited for implementation in electrochemical applications due to its large electrical conductivity, vast surf