The subject invention provides systems and methods for capturing carbon dioxide in a cyclic process of mechano-chemical reactions. The subject invention also provides systems and methods for synthesizing siderite, by means of mechano-chemical reactions, using mill rotation. Siderite acts as an efficient reversible sorbent and can be decomposed, generating magnetite, carbon and/or metallic iron as well as pure carbon dioxide. Said systems and methods employing carbon dioxide capture/release reactions in the carbonation-calcination cycles are suitable for using in any iron, steel and non-steel industries to reduce carbon dioxide emissions into the atmosphere.