3. (12 pts.) Quadruple bonds are often seen in inorganic chemistry, where a metal element with available d-orbitals shares eight electrons with another metal. The picture to the right is an example of a quadruple bond between two chromium atoms. There has been debate in the chemistry community regarding the possible existence of a quadruple covalent bond. One possible covalent molecule with a quadruple bond is C$_2$. Theoretically, a quadruple bond between two carbons would satisfy each carbon's need for eight electrons in their valence shell. Draw a molecular orbital diagram for C$_2$. Does molecular orbital theory support the existence of C$_2$? Why or why not?