

Articles
by
E.L. Efurumibe 
Total Records (
2 ) for
E.L. Efurumibe 





E.L. Efurumibe
,
A.D. Asiegbu
and
M.U. Onuu


In this study mathematical model of electron transport through the anode (TiO_{2}) of a standard dyesensitized solar cell was developed. The modeling led to the generation of a set of differential equations and a linear equation. The linear equation relates the rates of electron emission, α from the sensitized Dye, rate of electron trapping, β by TiO_{2} and the rate of electron diffusion, γ through the TiO_{2. }The linear equation was transformed such that it could compare the rate of electron trapping, β with the thickness, T of the TiO_{2}. The aim of the research was to determine the parameters of TiO_{2} that influences its electron trapping. The specific objective was to look at the relationship between the rate of electron trapping by the anode and the thickness of the anode. The set of differential equations were solved jointly using two different methods: the Euler’s method and the RungeKutta’s method. Result showed that the size (thickness) of TiO_{2} influences its electron trapping rate. And the solution to the system of differential equation showed that the thickness of the TiO_{2 }deteriorate with time. So from the result obtained, the recommendation is that the size of the anode use in the design of Dyesensitized solar cell should be increased in order to improve the efficiency of the standard dyesensitized solar cell. By improving electron transmission through the anode, we are invariably improving the efficiency of the solar cell. 




E.L. Efurumibe
,
A.D. Asiegbu
and
M.U. Onuu


Titanium dioxide is an important raw material for the fabrication of the anode of a dyesensitized solar cell. The fact it that electrons are trapped within this anode as they flow through it. These trapped electrons tend to set the atoms of titanium dioxide into vibration. Here this vibration (interaction) has been investigated. The aim of the research was to generate the dispersion relation owing to the interaction between the atoms of titanium and oxygen in a unit cell of the crystal of TiO_{2}. Certain assumptions were made before formulation the mathematical mode that generated the dispersion relation. The result showed a dispersion relation at various angular steps. 





