Imagine you have a few different toys: a red ball, a blue block, and a yellow triangle. You can take any combination of these toys and create a new toy. For example, you can combine the red ball and the blue block to make a purple cylinder. This is kind of like what happens when we make molecules in chemistry.
In chemistry, atoms are like our toys. We can take different atoms and combine them to make molecules. But instead of physically combining them, we use the electrons surrounding the atoms to connect them together. These electrons are like glue that hold the atoms together to form a molecule.
Now, let's think about the electrons themselves. They don't just randomly float around the atoms, they are organized into regions called atomic orbitals. You can think of these like little rooms that the electrons live in. Different atoms have different types of orbitals. For example, hydrogen atoms have one orbital, while carbon atoms have four.
When we make a molecule, we need to connect the atomic orbitals of each atom together. This is where the idea of a linear combination of atomic orbitals comes in. Instead of just using one orbital from each atom, we can combine them together to make new orbitals that are better suited for making a molecule.
To do this, we take a certain combination of each atom's orbitals and add them together. Just like combining our toys earlier, we can add together different amounts of each orbital to make a new one. This new orbital is called a molecular orbital, and it belongs to the whole molecule, not just one atom.
This process is what allows us to form the many different molecules we see around us. By combining the atomic orbitals of different atoms in different ways, we can create new orbitals that have unique properties. These new orbitals then allow the electrons to move in a way that leads to chemical reactions and the formation of new molecules. So, just like you can combine different toys to create something new, scientists can use a linear combination of atomic orbitals to create a whole world of molecules!