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Abstract

Tin oxide (SnO2) finds extensive application in metal-oxide-semiconductor systems as a gas-sensing material, owing to its distinct physical and chemical attributes. Among these attributes, grain size stands out as a pivotal factor that significantly shapes the gas- sensing properties. An all encompassing model is introduced, encompassing the complete spectrum of gas-sensing processes involving receptor function, transducer function, and utility factor. The characteristics of the sensor are defined as dependent on factors such as grain size, width of the depletion layer, thickness of the film, density of oxygen vacancies, concentration of gas, pore dimensions, and operational temperature. This model offers a thorough mathematical elucidation of the impact of SnO2's size variations, spanning from partial depletion to volume depletion.

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