International Journal of Research and Innovation in Applied Science (IJRIAS)
Size-Dependent Variation of Relaxation Factor in Nanomaterials: A Theoretical and Comparative Study
Published December 23, 2025 • Vol. 10, Issue 11, pp. 1248–1258Open Access
DOI: 10.51584/IJRIAS.2025.101100115
Abstract
The study investigates the relaxation factor (τ) for different sized and shaped ZnO, TiO₂, Al2O₃, Fe2O₃, and CuO nanostructures. Surface scattering, lattice strain, and quantum confinement were all included in the theoretical framework. The spherical, octahedral, tetrahedral, and cylindrical and hexagonal nanowires as well as thin films were all calculated. Strong surface scattering is indicated by the data's quick τ increase for D < 5 nm, and saturation near bulk behaviour is seen beyond D = 10 nm. Tetrahedral nanoparticles revealed the lowest τ values because of their better confinement, whereas thin films consistently showed larger values. The reliability of the model is confirmed by comparison with published literature. These results enable future studies in heat transport applications based on nanomaterials and offer insights for thermal control in nanoscale devices (Balandin, 2005; Zou & Balandin, 2001; Feng et al., 2015).
Keywords: Relaxation factor, Phonon scattering, Quantum confinement, Surface effects, Thermal conductivity, Nanostructures, Thin films, Nanowires, Oxide nanomaterials, Thermal transport
| Journal | International Journal of Research and Innovation in Applied Science (IJRIAS) |
|---|---|
| ISSN | 2454-6194 |
| Volume / Issue | Volume 10, Issue 11 |
| Pages | 1248–1258 |
| Publication date | December 23, 2025 |
| DOI | 10.51584/IJRIAS.2025.101100115 |
| Publisher | RSIS International |
| License | Open Access |
How to cite this article
Vipin Kumar, & Poonam Devi (2025). Size-Dependent Variation of Relaxation Factor in Nanomaterials: A Theoretical and Comparative Study. International Journal of Research and Innovation in Applied Science (IJRIAS), 10(11), 1248-1258. https://doi.org/10.51584/IJRIAS.2025.101100115
BibTeX
@article{Vipin2025,
title = {Size-Dependent Variation of Relaxation Factor in Nanomaterials: A Theoretical and Comparative Study},
author = {Vipin Kumar and Poonam Devi},
journal = {International Journal of Research and Innovation in Applied Science (IJRIAS)},
volume = {10},
number = {11},
pages = {1248--1258},
year = {2025},
doi = {10.51584/IJRIAS.2025.101100115},
publisher = {RSIS International}
}