The United States paid Russia $7.2 million in gold for the territory of Alaska in 1867. This transaction is known as the Alaska Purchase. The payment was made within ten months of the treaty exchange of ratifications between the two countries, and it granted the U.S. clear title to Alaska, which was then considered a remote and sparsely populated area.
The date 1818 appears not to be related to any payment from the United States to Russia; rather, the notable payment and purchase happened in 1867 for Alaska.