Understanding Isomers:
Isomers are molecules with the same molecular formula (same number of each type of atom) but different arrangements of those atoms in space.
Possible Arrangements:
* 1,2-Dibromoethane: Both bromine atoms are attached to adjacent carbon atoms.
```
Br-CH2-CH2-Br
```
* 1,1-Dibromoethane: Both bromine atoms are attached to the same carbon atom.
```
Br2-CH2-CH3
```
Why Not More?
You might think there could be more isomers, but consider:
* Rotation around the Carbon-Carbon bond: The two structures above represent different arrangements in space. However, rotating the molecule around the C-C bond doesn't create a new isomer.
* Symmetry: Since the molecule is symmetrical, there's no way to create a different arrangement of the bromine atoms by swapping them.
Let me know if you'd like me to elaborate on any of these points!