Temperature Coefficients of Quaternary Ga<sub><i>x</i></sub>In<sub>1–<i>x</i></sub>As<sub><i>y</i></sub>Sb<sub>1–<i>y</i></sub>Thermophotovoltaic Cells (2022)

We have theoretically reported the cell temperature ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${T}_{C}$ </tex-math></inline-formula> )-dependent structure and performances for experimentally available n-on-p Ga <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><i>x</i></sub> <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${\text{In}}_{1 -{x}}$ </tex-math></inline-formula> As <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><i>y</i></sub> <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${\text{Sb}}_{1 -{y}}$ </tex-math></inline-formula> thermophotovoltaic (TPV) cells with a bandgap at room temperature ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${E}_{g,\text{RT}}$ </tex-math></inline-formula> ) in the range of 0.50–0.60 eV. It is shown here that <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${V}_{\text{OC}}$ </tex-math></inline-formula> and all structure parameters, e.g., active layer thickness and grid separation, of formed cells present a linearly <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${T}_{C}$ </tex-math></inline-formula> -relying reduction, while a nonlinear evolution is traced for <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${J}_{\text{SC}}$ </tex-math></inline-formula> and efficiency. Importantly, it is further observed that all coefficients desired for the modeling of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${T}_{C}$ </tex-math></inline-formula> -dependent evolution are <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${E}_{g,\text{RT}}$ </tex-math></inline-formula> -dependent and can be reasonably yet uniformly modeled by an <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${E}_{g,\text{RT}}$ </tex-math></inline-formula> -based cubic function. This provides an effective method to phenomenologically correlate the optimum structure and performances of Ga <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><i>x</i></sub> <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${\text{In}}_{1 -{x}}$ </tex-math></inline-formula> As <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><i>y</i></sub> <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${\text{Sb}}_{1 -{y}}$ </tex-math></inline-formula> TPV cell at room temperature with its counterpart beyond room temperature.