Conventional approaches to the capture of CO2 by metal-organic frameworks focus on equilibrium conditions, and frameworks that contain little CO2 in equilibrium are often rejected as carbon-capture materials. Here we use a statistical mechanical model, parameterized by quantum mechanical data, to suggest that metal-organic frameworks can be used to separate CO2 from a typical flue gas mixture when used under nonequilibrium conditions. The origin of this selectivity is an emergent gas-separation mechanism that results from the acquisition by different gas types of different mobilities within a crowded framework. The resulting distribution of gas types within the framework is in general spatially and dynamically heterogeneous. Our results suggest that relaxing the requirement of equilibrium can substantially increase the parameter space of conditions and materials for which selective gas capture can be effected.Introduction. The burning of carbon-based fossil fuels and the consequent release of CO 2 into the atmosphere causes climate change [1]. One technology designed to remove CO 2 from the flue (exhaust) gases of power plants is based upon metal-organic frameworks (MOFs), modular crystalline materials whose internal binding sites can host gas molecules [2][3][4][5][6][7][8][9][10][11]. Standard approaches to understanding gas capture in MOFs focus on equilibrium conditions [6,[12][13][14][15][16][17][18], where the prescription for selective gas capture is both simple and restrictive: in equilibrium, a framework will harbor CO 2 in preference to the other gas types in a mixture if the framework binds more strongly to CO 2 than to all the other gas types. For many frameworks, and for flue gas mixtures, this is not the case [18]. For instance, Mg-MOF-74 is a framework commonly used in the laboratory for gas capture [5,8,9,14,[19][20][21]. When exposed to CO 2 mixed with H 2 O, which is abundant in flue gases, Mg-MOF-74 will, under equilibrium conditions, contain mostly H 2 O [15,[22][23][24]. One response to this problem is to design a material, such as diamine-appended 16], better able to capture CO 2 in equilibrium. Another response, explored in this paper, is to consider the possibility of doing gas capture under nonequilibrium conditions. Gas capture is a dynamic phenomenon [22,24,25]. Exposed to a MOF, a collection of gas molecules will execute various microscopic processes, including moving through the open space of the framework, and binding to and unbinding from it. In the long-time limit the fraction of a certain gas type resident within the framework is determined by the set of molecule-framework binding affinities, but at intermediate times the composition of gas types within the framework depends in addition on the kinetic parameters that govern the rates of molecular processes [21,24,[26][27][28]. Quantum mechanical calculations [22] suggest that some frameworks not useful for selective gas capture under equilibrium conditions might perform the same task well under nonequilibrium conditions. For inst...