Aluminum oxide, also known as alumina, is a chemical compound composed of aluminum and oxygen with the formula $Al_2O_3$. It is an important material in various fields, including ceramics and metallurgy, and serves as a key component in understanding the properties and trends of elements within groups 13 to 18. Aluminum oxide exhibits a range of useful characteristics, such as high thermal stability and hardness, making it significant in both industrial applications and natural processes.