Step 1: Recall principle.
The sweeter the molecule, the stronger its binding affinity to the sweet receptor. Stronger binding corresponds to more negative \(\Delta G^0\).
Step 2: Compare values.
- Sucrose: -6.7 kcal/mol (least negative).
- Saccharin: -9.7 kcal/mol.
- Alitame: -11.1 kcal/mol.
- Neotame: -12.1 kcal/mol (most negative, strongest binding).
Step 3: Conclusion.
Thus, Neotame is the sweetest molecule at the same molar concentration.
Final Answer:
\[
\boxed{\text{Neotame (-12.1 kcal mol}^{-1}\text{) is the sweetest.}}
\]