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Molecular Dynamics Simulations of Nanoporous Systems: Dynamic Heterogeneity, Self-Organization of Voids, and Self-Healing Processes
Published in Junko Habasaki, Molecular Dynamics of Nanostructures and Nanoionics, 2020
From these results, alkali metal ions seem to take important roles in the mechanical properties of the system. In the case of porous silicates, the distances between pairs of atoms (or ions) are shown as the function of the density in Fig. 7.9a. For the distance in each pair, a position of the maximum of the first peak in g(r) is used. In this plot, there are no remarkable changes in LiO and SiO pairs. Instead, changes in the LiLi distance seem to be large and correlated well for the changes in the pressure of the system. The position of the maximum for the LiLi distance is also found near the maximum of the diffusivity. A small maximum is also observed for LiSi and SiSi pairs. These results mean that the changes in the structures are mainly for spaces without direct bonding. Therefore, structural changes related to these parts should not be neglected for the arguments of mechanical behaviors.
Silicon-based anode materials for lithium-ion batteries
Published in Klaus D. Sattler, Silicon Nanomaterials Sourcebook, 2017
Gyeong S. Hwang, Chia-Yun Chou
In contrast to the typical sharp lines found in crystalline materials, the PDF peaks are smoother and more broadened while no long-range order can be identified, indicating an amorphous nature. At low Li content, the first two distinct peaks are attributed to Si–Si pairs and a combination of Si–Li and Li–Li pairs, respectively. As the Li content x increases, the Si–Li and Li–Li peaks become stronger while the Si–Si peak dwindles. Moreover, with increasing Li content, the Si–Si peak position shifts to a larger pair distance while the opposite trend is found for the Li–Si and Li–Li peaks. The increased Si–Si pair distance is indicative of the weakened Si–Si bonds. Note that the charge transferred from Li fills up the antibonding sp3 states of Si and thereby weakens the Si–Si bonds as mentioned earlier.
Reconstruction of Varying Bandwidth Signals from Event-Triggered Samples
Published in Marek Miskowicz, Event-Based Control and Signal Processing, 2018
Dominik Rzepka, Miroslaw Pawlak, Dariusz Koscielnik, Marek Miśkowicz
where A = Li+1 — Li, i = 1,..., K — 1, is the distance between consecutive levels Li and Li+1 and a2 = Var[x(t)]. The mean rate E[G]h of the level-crossing sampling with hysteresis approaches its upper bound defined by the right side of the formula (23.24) if A ^ 0. It can be easily shown that E[0]h < E[0] for a given set L1, L2,..., LK of levels.
Interpreting heritage canals from the perspective of historical events: a case study of the Hangzhou section of the Grand Canal, China
Published in Journal of Asian Architecture and Building Engineering, 2021
To accurately locate all the places recorded here, our study (Rong and Wang 2018) used two methods to mutually compare and check these places. The first calculated locations were based on the historical data and Chinese historical measurement system. “The Grand Event of Qianlong’s Tour to the South” used in our study was completed in 1882. The length unit “li” at that time could be concluded to be 576 m (Chen 1966). According to this determination, we calculated all of the distances between each site recorded, and the results are shown in Table 2 (Rong and Wang 2018). The second method was to fix the places with accurate locations on a contemporary map, including the Camp in Tangqi Town, the Hangzhou Prefecture Palace and the Gongchen Bridge (it still exists and is currently protected as a cultural relic unit), and then discern the other locations by calculation. We measured the distances between the Camp in Tangqi Town and the Gongchen Bridge, and between the Gongchen Bridge and the Hangzhou Prefecture Palace. Since they were recorded in the ancient book as 36 li and 21 li, the length for one “li” could be calculated. The results of these two methods were proven to be identical. Therefore, we obtained the locations of the places recorded in “The Grand Event of Qianlong’s Tour to the South” as shown in Figure 1 (Rong and Wang 2018).