Final answer:
The sigma bond between Be and Br in BeBr₂ is formed through the overlap of a hybrid orbital on Be with an orbital on Br. The hybridization of Be in this case is sp hybridization, resulting in the formation of two sp hybrid orbitals. These orbitals can form an electron-pair bond with Br, creating a linear BeBr₂ molecule.
Step-by-step explanation:
The sigma bond between Be and Br in beryllium bromide (BeBr₂) is formed by the overlap of a hybrid orbital on Be with an orbital on Br. In this case, the hybridization of Be is sp hybridization, which results in the formation of two sp hybrid orbitals. Each of these sp hybrid orbitals on Be can form an electron-pair bond with an orbital on Br. Since the two sp hybrid orbitals are oriented at a 180° angle, the BeBr₂ molecule is linear.