Skip to main content

Describing temperature increases in plasmon-resonant nanoparticle systems

Journal of Thermal Analysis and Calorimetry volume 98, Article number: 197 (2009) Cite this article

Abstract

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.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

USD 39.95

Price includes VAT (USA)
Tax calculation will be finalised during checkout.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

References

  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.

  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.

    Article  CAS  Google Scholar 

  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.

    Article  CAS  Google Scholar 

  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.

    Article  Google Scholar 

  5. Ahmadi TS, Logunov SL, El-Sayed MA. Picosecond dynamics of colloidal gold nanoparticles. J Phys Chem. 1996;100(20):8053–6.

    Article  CAS  Google Scholar 

  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.

    Article  CAS  Google Scholar 

  7. Link S, El-Sayed MA. Optical properties and ultrafast dynamics of metallic nanocrystals. Annu Rev Phys Chem. 2003;54(1):331–66.

    Article  CAS  Google Scholar 

  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.

    Article  CAS  Google Scholar 

  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).

  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.

    Article  CAS  Google Scholar 

  11. Eeles R, Stamps A. Polymerase chain reaction (PCR) the technique and its applications. Boca Raton: CRC Press; 1993. p. 4–11 (Chapter 2).

  12. Lindfield G, Penny J. Numerical methods using Matlab. 2nd ed. Upper Saddle River: Prentice Hall; 2000, p. 200–249, 305.

Download references

Acknowledgements

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.

Author information

Authors and Affiliations

  1. University of Michigan, Ann Arbor, MI, USA

    Michael P. Hoepfner

  2. University of Arkansas, Fayetteville, AR, USA

    D. Keith Roper

Authors
  1. Michael P. Hoepfner
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Keith Roper
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. Keith Roper.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Hoepfner, M.P., Roper, D.K. Describing temperature increases in plasmon-resonant nanoparticle systems. J Therm Anal Calorim 98, 197 (2009). https://doi.org/10.1007/s10973-009-0316-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10973-009-0316-9

Keywords

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