In the present work, a significant rotational lines of the B4Σ−–X4Σ−\documentclass[12pt]{minimal}
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\begin{document}$B^{4}\Sigma ^{-} \mbox{--} X^{4}\Sigma ^{ -} $\end{document} (0,0\documentclass[12pt]{minimal}
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\begin{document}$0,0$\end{document}) band system of the AlC molecule were identified in high resolution FTS sunspot umbral spectra in the region from 22,450 to 22,600 cm−1. Among the well-resolved identified lines, the rotational temperatures have been estimated to be 4018 K for photosphere and 3722 K for a hot umbra. Hence, the estimated effective rotational temperatures provide evidence for the possible presence of the AlC molecule in a sunspot umbra. The radiative transition parameters for A4Π−–X4Σ−\documentclass[12pt]{minimal}
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\begin{document}$A^{4}\Pi ^{ -} \mbox{--} X^{4}\Sigma ^{ -} $\end{document} and B4Σ−–X4Σ−\documentclass[12pt]{minimal}
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\begin{document}$B^{4}\Sigma ^{ -} \mbox{--} X^{4}\Sigma ^{ -} $\end{document} systems of the AlC molecule have been estimated for experimentally known vibrational levels using the Rydberg–Klein–Rees (RKR) potential. The Franck-Condon (FC) factor of B4Σ−–X4Σ−\documentclass[12pt]{minimal}
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\begin{document}$B^{4}\Sigma ^{ -} \mbox{--} X^{4}\Sigma ^{ -} $\end{document} (0,0\documentclass[12pt]{minimal}
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\begin{document}$0,0$\end{document}) band system is most intense (qv′v″=0.741\documentclass[12pt]{minimal}
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\begin{document}$q_{v'v''} = 0.741$\end{document}). For the B4Σ−\documentclass[12pt]{minimal}
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\begin{document}$B^{4}\Sigma ^{ -}$\end{document} state, the radiative lifetime of v′=0\documentclass[12pt]{minimal}
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\begin{document}$v'=0$\end{document} level is found as 103.93 ns. The effective vibrational temperature of the A4Π−–X4Σ−\documentclass[12pt]{minimal}
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\begin{document}$A^{4}\Pi ^{ -} \mbox{--} X^{4}\Sigma ^{ -} $\end{document} and B4Σ−–X4Σ−\documentclass[12pt]{minimal}
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\begin{document}$B^{4}\Sigma ^{ -} \mbox{--} X^{4}\Sigma ^{ -} $\end{document} band systems of the AlC molecule is 3981 K and 2706 K, respectively. Therefore, the effective vibrational temperature and radiative transition parameters help us to ascertain the possible presence of the AlC molecule in the solar atmosphere.