Akio Mitsui Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.
Kenji Homma Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.
Koji Kawamoto Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.
Masaaki Hirayama Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.
Masao Yonemura Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.
Noriaki Kamaya Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.
The diffusion coefficient relates particle flux to concentration gradient through Fick's first law, . For unbiased isotropic motion in dimensions it can equivalently be defined by the long-time mean squared displacement:
An uncorrelated random walk with jump length and total jump rate has , hence ; correlations introduce a multiplicative correlation factor. The factor counts the directions sharing the total displacement. It does not mean that the same material's single-coordinate diffusivity changes merely by choosing to observe fewer coordinates: in every Cartesian direction of the same isotropic system.
At K, silver iodide is in its fast-ion-conducting phase. For an order-of-magnitude estimate, take a jump length Å and an effective successful jump rate . Then
Thus of order is a reasonable estimate for this superionic conductor. The length and rate are explicitly assumed material scales; the question supplies neither a measured conductivity nor jump data, so an exact numerical coefficient cannot be deduced from temperature alone. The estimate is not presented as an experimentally measured value.
Ryoji Kanno Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.
Shigenori Hama Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.
Takashi Kamiyama Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.
Yuichiro Yamakawa Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.
Yuki Kato Created 2026-10-13 Updated 2026-11-05
A solid with unusually rapid ionic motion while its host framework remains ordered.