a binding oath: a sworn pledge that seals a promise or covenant by invoking a curse on whoever breaks it
At its heart this word is a sworn commitment that carries teeth. To make this kind of oath was not simply to give your word; it was to call down ruin on yourself if you failed to keep it. The oath and the curse behind it were one act, which is why the same word can be translated either way.
Most often it names the oath that seals a covenant or treaty. When Isaac and Abimelech made peace, an oath bound them to it. When kings entered treaties, or when Israel bound itself to keep God's law, this was the sworn tie that held them together. To break the covenant was to despise this oath, and the prophets treat that as a grave betrayal.
It also names an oath laid on a single person, as when a court required a man to swear his innocence, or when Abraham put his servant under oath. In every case the word points less to the words spoken than to the binding force behind them: a self-directed curse that made the promise real.