Investigation of silicon dicarbide (SiC2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {SiC}_2$$\end{document}) in circumstellar envelopes around carbon-rich AGB stars

For known values of rotational and centrifugal distortion constants in conjunction with electric dipole moment, we have calculated energies of 80 rotational levels of para-SiC2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {SiC}_2$$\end{document} and radiative transition probabilities for 299 radiative transitions between the levels. These radiative transition probabilities in conjunction with scaled values for collisional rate coefficients are employed for solving a set of 80 statistical equilibrium equations coupled with 299 equations of radiative transfer. Brightness temperatures of 7 strongest (2 absorption and 5 emission) lines are investigated. These 7 transitions, where 3 are not yet found in any cosmic object, may play important role for identification of SiC2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {SiC}_2$$\end{document} in a cosmic object.