NOVELTY - Rechargeable magnesium-ion battery comprises a first electrode, including an active material; a second electrode; and an electrolyte located between the first electrode and the second electrode, the electrolyte includes magnesium ions, the active material includes a binary combination of indium and tin, the active material allowing insertion and extraction of magnesium ions during operation of rechargeable battery, insertion of magnesium ions into the active material including formation of a magnesiated indium compound and a magnesiated tin compound, and the first electrode being an anode.    USE - The rechargeable magnesium-ion battery is useful in automobiles.    ADVANTAGE - Improved batteries are provided with higher volumetric energy-densities. In rechargeable magnesium-ion battery, a high capacity indium-tin binary anode material is provided with improved magnesium-ion insertion/extraction voltages, for use in rechargeable magnesium-ion batteries.    DETAILED DESCRIPTION - Rechargeable magnesium-ion battery comprises a first electrode, including an active material; a second electrode; and an electrolyte located between the first electrode and the second electrode, the electrolyte includes magnesium ions, the active material includes a binary combination of indium and tin, the active material allowing insertion and extraction of magnesium ions during operation of rechargeable battery, insertion of magnesium ions into the active material including formation of a magnesiated indium compound and a magnesiated tin compound, and the first electrode being an anode; or rechargeable magnesium-ion battery comprises an anode, including an anode active material; an anode support; an anode terminal, providing an external negative electrical terminal for the battery, the anode terminal being electrically connected to the anode support; a cathode, including a cathode active material; a cathode support; a cathode terminal, providing an external positive electrical terminal for the battery, the anode terminal being electrically connected to the anode support; and an electrolyte located between the anode and the cathode, the electrolyte including magnesium ions, the anode active material includes indium and tin, where the anode active material interacts with the magnesium ions to form a fully magnesiated compound of indium and a fully magnesiated compound of tin during a charge-discharge cycle of the rechargeable magnesium-ion battery.