Transition from ideal statistics to interactions by host distortion in the intercalation thermodynamics of Li into amorphous WO films of varying thickness

Jump diffusion coefficient of different cations intercalated into amorphous WO3

“…1, C μ shows very similar behavior regardless the type of cation inserted, particularly for low insertion levels. This fact has important implications in relation with recently proposed models of insertion thermodynamics [9]. It has been suggested [9] that the cell voltage dependence on composition is largely determined by the hostguest interaction in case of film thickness N200 nm.…”

“…The chemical capacitance C μ [2], which can be written per unit volume as C μ = e 2 N∂x/∂μ (N is the density of host W atoms) can be determined from the inverse derivative of the equilibrium voltage composition curve. This derivative parameter is widely used in insertion studies because it provides a detailed view of the features of the thermodynamic function [3][4][5][6][7][8][9]. The thermodynamic factor then correlates with the chemical capacitance as χ T = e 2 Nx/k B TC μ .…”

Physical electrochemistry of nanostructured devices

“…108 Recently, it was shown that contributions to the chemical potential of Li + inside the amorphous film caused by host distortions play a central role both in the voltage-composition curve and in the ion diffusion effects. [109][110][111][112] In this approach the electrochemical potential takes the form…”

“…For the thinnest film (100 nm), the ideal statistics of a dilute solution (corresponding to non-interacting lattice gas model), given in eqn (3), is observed, while the Gx g term becomes increasingly dominant for larger thickness. 111 Further studies 112 related the intercalation thermodynamics with the models for elastic interactions due to film expansion. 113,114 2.3 Depletion capacitance in nanowires Nanowires and nanotubes are drawing a tremendous attention due to their potential applications in various nanoscale devices.…”

Correlation between Volume Change and Cell Voltage Variation with Composition for Lithium Intercalated Amorphous Films

“…Very recently, we proposed , a phenomenological approach for interpreting the cell voltage variation with the amount of inserted ions by regarding contributions to the chemical potential of Li + inside the amorphous film caused by host distortions. In this approach, the chemical potential takes the form 18 In this equation, the first term E 0 corresponds to a constant energy level, the second one (1 + η) Gx η relates to the dependence of the intercalant−host interaction with the insertion level.…”