Information on the absolute length scales of ion transport processes in glasses from electrical conductivity and tracer diffusion data

Characterization of the complex ion dynamics in lithium silicate glasses via computer simulations

“…The dynamics of ions in amorphous materials is very complex, as indicated, e.g., by the strong frequency dependence of the conductivity [1,2,3,4]. This frequency dependence directly reflects the presence of back-and forthdynamics of the individual ions.…”

Simulation and scaling of ac conductivities in ion-conducting glasses

“…[9,10,12,14,15]) have based their arguments on an expression like r à ðxÞ ¼ r 1 ðxÞ þ jx 0 1 ðxÞ ð 3Þ on the belief that what we observe experimentally are two scalar quantities, r 1 and 1 . They claimed that hopping motion of the ions can be described by the conduction part (r 1 ) and the dielectric part ( 1 À 1 ), where 1 is the contribution from electronic and/or ionic polarization, which resonates at optical frequencies.…”

“…Similar drawback lies in estimating g(s) from a distorted semicircle in the complex impedance plane. Several efforts have been made in scaling ac conductivities of various glasses into a single master curve [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. It is a common practice to scale the ordinate of a variety of temperature-and composition-dependent curves of r(x) by r(x)/r dc .…”

Ac conductivity and ion transport in K+-for-Na+ ion-exchanged glasses: exchange experiments below and above the glass transition temperature

“…According to linear response theory [39], frequency-dependent conductivity spectra of ion conducting materials can be directly related to the time-dependent mean square displacement of the mobile ions, hr 2 ðtÞi [40,41]. A frequency-independent conductivity at low frequencies implies that on long time scale, the ion dynamics are diffusive, i.e.…”