Journal of Nanoparticle Research

, Volume 10, Issue 2, pp 333–340

Radiation model for nanoparticle: extension of classical Brownian motion concepts

Research Paper

DOI: 10.1007/s11051-007-9256-0

Cite this article as:
Sharma, N.N. J Nanopart Res (2008) 10: 333. doi:10.1007/s11051-007-9256-0


Emissive power per unit area of a blackbody has been modeled as a function of frequency using quantum electrodynamics, semi-classical and classical approaches in the available literature. Present work extends the classical lumped-parameter systems model of Brownian motion of nanoparticle to abstract an emissive power per unit area model for nanoparticle radiating at temperature greater than absolute zero. The analytical model developed in present work has been based on synergism of local deformation leading to local motion of nanoparticle due to photon impacts. The work suggests the hypothesis of a free parameter f′ characterizing the damping coefficient of resistive forces to local motion of nanoparticle and the manipulation of which is possible to realize desired emissivity from nanoparticles. The model is validated with the well established Planck’s radiation law.


Blackbody radiationPlanck’s lawNanoparticleBrownian motionSystems modelingNumerical simulation

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Mechanical Engineering GroupBirla Institute of Technology & SciencePilaniIndia