The Rapid Identification of Solid Materials Using the ACP Method

Sadek, Otmane; Touhtouh, Samira; Hajjaji, Abdelowahed

doi:10.3390/environsciproc2022016022

Cited by 1 publication

(1 citation statement)

References 11 publications

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“…In general, TiO 2 is preferred in anatase form because of its high photo catalytic activity, since it has a more negative conduction band edge potential (higher potential energy of photogenerated electrons), high specific area, non-toxic, photochemically stable, and relatively inexpensive [5]. Several methods for the preparation of nanocrystalline TiO 2 have been developed and they are electrochemical reaction [6], supercritical carbon dioxide [7], precipitation [8], multi-gelation [9], chemical solvent and chemical vapor decomposition [10], ultrasonic irradiation [11], aerogel [12], xerogel [13] and sol-gel [14], the latter is the most used because it makes it possible to obtain ultra-fine nanopowder [15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

The mathematical fractional modeling of TiO_2 nanopowder synthesis by sol–gel method at low temperature

Sadek¹,

Sadek²,

Touhtouh³

et al. 2022

Math. Model. Comput.

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Titanium dioxide is a compound of oxygen and titanium with the formula TiO2 present in nature and manufactured on an industrial scale. It is used in several fields and applications such as cosmetics, paint, food, photocatalyst, electrodes in lithium batteries, dye solar cells (DSSC), biosensors, etc., given its importance and its various fields of application, there are several methods of synthesis of TiO2 such as the sol–gel method widely used to obtain nanoparticles. In our study, on the one hand we synthesized titanium dioxide nanopowders crystallized in the anatase phase at a crystal size of 49.25 nm with success using titanium tetraisopropoxide (TTIP) as precursor by the sol–gel method. The powders obtained were analyzed by X-ray diffraction (XRD) with CuKα radiation (λ=0.15406 nm) and Fourier transform infrared spectroscopy (FTIR) in the wave number range 4000−400 cm−1, and on the other hand we present a mathematical model for the prediction of the TiO2 concentration as a function of time and the concentration of reactants by using the fractional order derivative more precise than the whole order derivative, we study the existence and the uniqueness of the solutions. In addition, we determine the points of equilibrium. Numerical simulations and their graphical representations are made to visualize the efficiency of this model.

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