Related Experiment Video
Updated: Jul 24, 2026

05:33
Solid-state Graft Copolymer Electrolytes for Lithium Battery Applications
Published on: August 12, 2013
Origin of constant loss in ionic conductors
Physical Review Letters
|February 15, 2001
Summary
We studied ionic conductivity in lithium-ion conductors, observing a transition from constant loss to power-law behavior with increasing temperature. This transition reveals the energy barrier for lithium-ion movement.
Area of Science:
- Solid-state ionics
- Materials science
- Condensed matter physics
Background:
- Ionic conductivity is crucial for energy storage devices.
- Understanding ion transport mechanisms in solid electrolytes is key to improving battery performance.
- Lithium-ion conductors, both crystalline and glassy, exhibit complex electrical properties.
Purpose of the Study:
- To analyze the constant loss contribution to AC conductivity in Li-ion conductors.
- To investigate the temperature and frequency dependence of AC conductivity.
- To determine the energy barrier for Li+ ion transport.
Main Methods:
- AC conductivity measurements were performed on crystalline Li(0.18)La(0.61)TiO(3) and glassy 61SiO(2);35Li(2)O.3Al(2)O3.P(2)O(5).
- Measurements spanned a frequency range of 10 Hz to 1 MHz and temperatures down to 8 K.
- The crossover from constant loss to fractional power law behavior was analyzed.
Main Results:
- A crossover from nearly constant loss to a fractional power law frequency dependence of AC conductivity was observed with increasing temperature.
- This crossover temperature (T) at a fixed frequency (omega) follows the relation omega approximately nu(0)exp(-E(m)/k(B)T).
- The activation energy (E(m)) was identified as the barrier for Li+ ion departure from their wells.
Conclusions:
- The study elucidates the temperature-dependent transition in AC conductivity mechanisms of Li-ion conductors.
- The identified energy barrier (E(m)) provides insights into the ion transport dynamics.
- These findings contribute to the understanding of materials for advanced electrochemical applications.
Related Concept Videos
Ionic Bonding and Electron Transfer
Ions are atoms or molecules bearing an electrical charge. A cation (a positive ion) forms when a neutral atom loses one or more electrons from its valence shell, and an anion (a negative ion) forms when a neutral atom gains one or more electrons in its valence shell. Compounds composed of ions are called ionic compounds (or salts), and their constituent ions are held together by ionic bonds: electrostatic forces of attraction between oppositely charged cations and anions.
Electrical Conductivity
In perfect conductors, the electric field inside is always zero due to the abundance of free electrons, which nullify any field by flowing. As a result, any residual charge resides on the surface.
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
Theory of Metallic Conduction
The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
Ionic Association
The ionic association is the association of oppositely charged ions in an electrolyte solution to form ion pairs. Bjerrum defined ion pairs as two oppositely charged ions whose electrostatic attraction exceeds the thermal energy of the system, typically expressed as 2kT. Electrostatic attraction depends on ionic charge, separation distance, and the dielectric constant of the medium. Thermal energy, represented by kT, reflects the tendency of ions to move independently due to molecular motion.
Theory of Strong Electrolytes
The interionic forces of the strong electrolytes depend on the solvent's dielectric constant, which is the ability of a solvent to store electrical energy, based on its polarizability. and the solution's concentration. In high-dielectric solvents and in dilute solutions, weak electrostatic forces keep ions apart. However, in low-dielectric solvents or concentrated solutions, stronger interionic forces may cause ions to pair up as ionic doublets despite being fully ionized. The theory of strong...
Lossy Lines and Overvoltages
Transmission-line series resistance and shunt conductance cause three primary effects: attenuation, distortion, and power losses.
Attenuation
When constant series resistance and shunt conductance are present, voltage and current equations are modified. The propagation constant indicates that voltage and current waves consist of both forward and backward traveling components. These waves attenuate as they propagate, with the attenuation factor related to the resistance and conductance. In a...
Attenuation
When constant series resistance and shunt conductance are present, voltage and current equations are modified. The propagation constant indicates that voltage and current waves consist of both forward and backward traveling components. These waves attenuate as they propagate, with the attenuation factor related to the resistance and conductance. In a...

