Manganese oxide materials are attracting considerable interest for clean energy storage applications such as rechargeable Li ion and Li−air batteries and electrochemical capacitors. The electrochemical behavior of nanostructured mesoporous β-MnO 2 is in sharp constrast to the bulk crystalline system, which can intercalate little or no lithium; this is not fully understood on the atomic scale. Here, the electrochemical properties of β-MnO 2 are investigated using density functional theory with Hubbard U corrections (DFT+U). We find good agreement between the measured experimental voltage, 3.0 V, and our calculated value of 3.2 V. We consider the pathways for lithium migration and find a small barrier of 0.17 eV for bulk β-MnO 2 , which is likely to contribute to its good performance as a lithium intercalation cathode in the mesoporous form. However, by explicit calculation of surface to bulk ion migration, we find a higher barrier of >0.6 eV for lithium insertion at the (101) surface that dominates the equilibrium morphology. This is likely to limit the practical use of bulk samples, and demonstrates the quantitative importance of surface to bulk ion migration in Li ion cathodes and supercapacitors. On the basis of the calculation of the electrostatic potential near the surface, we propose an efficient method to screen systems for the importance of surface migration effects. Such insight is valuable for the future optimization of manganese oxide nanomaterials for energy storage devices. KEYWORDS: lithium battery, surface, supercapacitor, DFT, cathode, manganese oxides
■ INTRODUCTIONEnergy storage for hybrid electric vehicles and renewable energy sources is a pressing technological challenge for which Li ion batteries and supercapacitors are key candidate systems. Due to rising future needs, there has been an intensive research effort to search for an alternative to the layered LiCoO 2 system conventionally used in rechargeable Li ion batteries. 1−4 Cobased materials pose problems due to high cost and environmental hazards upon disposal. Therefore, manganesebased oxides have been a promising class of materials for electrochemical energy storage. 5−10 β-MnO 2 has been extensively investigated as a cathode for rechargeable Li ion cells, but early work showed that bulk samples did not permit significant Li ion intercalation. 7,10,11 Initial work on β-MnO 2 supercapacitors 12 also indicated lower capacitance than for other polymorphs such as hollandite MnO 2 . Yet recent investigations have reinvigorated interest in the material. Mesoporous 10,13,14 and needle-like nanostructured 15,16 β-MnO 2 have been shown to allow good intercalation of Li ions. Both pore size and wall thickness of the mesoporous structures have been demonstrated to affect the rate capability. 9 The mesoporous β-MnO 2 cell has a capacity 10 of 284 mAh/g and good cycling stability. Recent studies of kinetics using ac impedance measurements 17 have demonstrated increased Li ion diffusion in nanosized materials. Additionally, β-MnO 2 has sho...