1. Calculate the total number of valence electrons:
* Chlorine (Cl) has 7 valence electrons, and there are two Cl atoms: 7 * 2 = 14 electrons
* Oxygen (O) has 6 valence electrons, and there are seven O atoms: 6 * 7 = 42 electrons
* Total valence electrons: 14 + 42 = 56 electrons
2. Determine the central atom:
* Oxygen is more electronegative than chlorine, so it will be the central atom.
3. Connect the atoms with single bonds:
* Arrange the seven oxygen atoms around the central oxygen atom.
* Each oxygen atom will form a single bond with the central oxygen atom.
4. Distribute the remaining electrons as lone pairs:
* Each oxygen atom needs two lone pairs to complete its octet.
* The central oxygen atom needs two lone pairs to complete its octet.
5. Check for formal charges:
* The formal charge of an atom is calculated as: (valence electrons) - (non-bonding electrons) - (1/2 * bonding electrons)
* The formal charges should be minimized to achieve a stable structure.
6. Consider multiple bonds:
* To minimize formal charges, we need to add double bonds between some of the oxygen atoms and the central oxygen atom.
* The final structure will have three double bonds, with the other four oxygens single-bonded to the central oxygen.
The final Lewis structure of Cl₂O₇:
```
O
/ \
Cl O
/ \ / \
O O O
/ \ / \ / \
Cl O O O
```
Key points:
* Each chlorine atom is connected to two oxygen atoms, with one double bond and one single bond.
* The central oxygen atom has three double bonds and two lone pairs.
* All atoms have a complete octet of electrons.
Note: There are resonance structures for Cl₂O₇, where the double bonds can shift around. However, the structure shown above is the most common and stable representation.