Power output is central to the viability of a Liion battery and is, in part, dependent upon the activation energy barrier associated with Li intercalation/deintercalation into the host lattice (electrode). The lower the energy barrier, the faster the intercalation reaction rate and greater the power. The activation energy is governed by the atomistic structure(s) of the entrance sites for Li intercalation. Accordingly, a first step in optimizing battery power via structural manipulation of entrance sites is to understand the structure of these entrance sites. However, HRTEM is (presently) unable to characterize the structures of entrance sites with atomistic resolution. Accordingly, we generate models of the entrance sites using molecular dynamics. In particular, we simulate the synthetic protocol used to fabricate nanostructured TiO 2 experimentally. The resulting atomistic models reveal a highly complex and diverse structural distribution of entrance sites, which emanate from the surface curvature of the nanostructured material. In particular, we show how nanostructuring can be used to change profoundly the nature and concentration of such entrance sites.
■ INTRODUCTIONNanostructured materials have shown great promise recently as potential electrodes for Li-ion batteries. 1,2 In particular, Ren et al. showed that mesoporous TiO 2 , with a 3D pore structure, can be used as an anode-replacing graphite. 3 Similarly, mesoporous MnO 2 can act as a cathode. 4 Nanostructuring of the electrodes was shown, in both cases, to confer electrochemical activity upon the materials; 5 the parent bulk materials are electrochemically inactive. A recent simulation study revealed that mesoporous materials are able to expand and contract elastically (during charge cycling) as pseudo "breathingcrystals"enabling retention of the structure and crucially the 1 × 1 tunnels in which the Li ions enter and reside. 6 Conversely, the bulk parent material deforms plastically during intercalation, pulverizing the tunnels. 4,6 Central to the power output and charge time of batteries is the activation energy barriers associated with Li intercalation/ deintercalation from the host electrodes. The lower the energy barriers, the faster the reactions facilitating higher power and lower charge times. The activation energy is governed by the atomistic structure(s) of the entrance sites for Li intercalation. Accordingly, a first step in tuning battery power, via structural manipulation of entrance sites, is to understand their structure.Inspection of HRTEM images of mesoporous TiO 2 ( Figure 1) reveals that the entrance sites are not structurally uniform; 3 rather the figure reveals a diverse structural complexity, which emanates from the three-dimensional curvature of the pore. Accordingly, if one were to use a model of the perfect surface to calculate energy barriers associated with Li intercalation, the results would prove erroneous because the model would not capture the structural perturbations emanating from the curvature of the surface. Indeed,...