Describing temperature increases in plasmon-resonant nanoparticle systems



Plasmon-resonant nanoparticles are being integrated into a variety of actuators, sensors and calorimeters due to their extraordinary optical capabilities. We show a continuum energy balance accurately describes thermal dynamics and equilibrium temperatures in plasmon-resonant nanoparticle systems. Analysis of 18 data sets in which temperature increased ≤10.6 °C yielded a mean value of R 2 > 0.99. The largest single relative temperature error was 1.11%. A characteristic temperature was introduced into a linear driving force approximation for radiative heat transfer in the continuum energy description to simplify parameter estimation. The maximum percent error of the linearized description rose to 1.5% for the 18 sets. Comparing the two descriptions at simulated temperature increases up to 76.6 °C gave maximum relative errors ≤7.16%. These results show for the first time that the energy balance and its linearized approximation are applicable to characterize dynamic and equilibrium temperatures for sensors, actuators and calorimeters containing nanoparticles in microfluidic and lab-on-chip systems over a broad range of heat-transfer lengths, power inputs and corresponding temperature increases.


Surface plasmon resonance (SPR) Nanoparticles (NP) Optothermal photocalorimetry 



This work was supported in part by NSF (NER) ECCS-0709456 and by NSF CMMI-0909749. The authors would like to acknowledge Ms. Wonmi Ahn for technical assistance.


  1. 1.
    Xue M, Li J, Xu W, Lu Z, Wang KL, Ko PK, Chan M. A self-assembly conductive device for direct DNA identification in integrated microarray based system, IDEM ‘02 Digest. IEEE International Electron Devices Meeting, San Francisco, CA, USA, Dec. 8–11, 2002, p. 207–10.Google Scholar
  2. 2.
    Storhoff JJ, Elghanian R, Mucic RC, Mirkin CA, Letsinger RL. One-pot colorimetric differentiation of polynucleotides with single base imperfections using gold nanoparticle probes. J Am Chem Soc. 1998;120(9):1959–64.CrossRefGoogle Scholar
  3. 3.
    Kneipp K, Haka AS, Kneipp H, Badizadegan K, Yoshizawa N, Boone C, et al. Surface-enhanced Raman spectroscopy in single living cells using gold nanoparticles. Appl Spectrosc. 2002;56(2):150–4.CrossRefGoogle Scholar
  4. 4.
    Kniepp K, Kniepp H, Manoharan R, Hanlon EB, Itzkan I, Dasari RR, et al. Extremely large enhancement factors in surface-enhanced Raman scattering for molecules on colloidal gold clusters. Appl Spectrosc. 1998;52(12):1493–7.CrossRefGoogle Scholar
  5. 5.
    Ahmadi TS, Logunov SL, El-Sayed MA. Picosecond dynamics of colloidal gold nanoparticles. J Phys Chem. 1996;100(20):8053–6.CrossRefGoogle Scholar
  6. 6.
    Logunov SL, Ahmadi TS, El-Sayed MA, Khoury JT, Whetten RL. Electron dynamics of passivated gold nanocrystals probed by subpicosecond transient absorption spectroscopy. J Phys Chem B. 1997;101(19):3713–9.CrossRefGoogle Scholar
  7. 7.
    Link S, El-Sayed MA. Optical properties and ultrafast dynamics of metallic nanocrystals. Annu Rev Phys Chem. 2003;54(1):331–66.CrossRefGoogle Scholar
  8. 8.
    Roper DK, Ahn W, Hoepfner M. Microscale heat transfer transduced by surface plasmon resonant gold nanoparticles. J Phys Chem C. 2007;111(9):3636–41.CrossRefGoogle Scholar
  9. 9.
    Incropera F, DeWitt D. Fundamentals of heat and mass transfer. 5th ed. Hoboken: Wiley; 2002. p. 699–756, 905–932 (Chapter 12, Appendix A).Google Scholar
  10. 10.
    Roper M, Easley C, Legendre L, Humphrey J, Landers J. Infrared temperature control system for a completely noncontact polymerase chain reaction in microfluidic chips. Anal Chem. 2007;79(4):1294–300.CrossRefGoogle Scholar
  11. 11.
    Eeles R, Stamps A. Polymerase chain reaction (PCR) the technique and its applications. Boca Raton: CRC Press; 1993. p. 4–11 (Chapter 2).Google Scholar
  12. 12.
    Lindfield G, Penny J. Numerical methods using Matlab. 2nd ed. Upper Saddle River: Prentice Hall; 2000, p. 200–249, 305.Google Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2009

Authors and Affiliations

  1. 1.University of MichiganAnn ArborUSA
  2. 2.University of ArkansasFayettevilleUSA

Personalised recommendations