For atoms to bond either ionically or covalently with one another, the key requirement is:
**a. The valence shells of all atoms must be filled after the bonding occurs.**
This principle is rooted in the octet rule, which states that atoms tend to bond in such a way that each atom has eight electrons in its valence shell, achieving a stable electronic configuration similar to that of noble gases.
Here's a brief evaluation of the other options:
- **b. The chemical properties of the atoms must be satisfied.** This statement is vague and not a definitive requirement for bonding.
- **c. The ions must have different charges.** This is specific to ionic bonding; while it is true for ionic compounds that form through the attraction of oppositely charged ions, it doesn't apply to covalent bonding.
- **d. The resulting compound must follow ionic naming conventions.** This is specific to ionic compounds and is not a requirement for all types of bonding, including covalent bonding.
Thus, option ** is the most accurate and general requirement for bonding.