Abstract
Scanning thermal microscopy allows thermal characterization with nanoscale resolution. However, quantitative usage has been met with skepticism, because no standard exists for calibrating probe–sample thermal exchange. In this paper, three published strategies for calibrating probe–sample thermal exchange are directly compared, then used to measure bulk and thin-film thermal conductivity. It is shown that with an appropriately calibrated probe and film-on-substrate heat conduction model, thermal conductivity values of ultrathin-film (2.9–202 nm) Al2O3 on silicon are within 20% deviation of independently measured values, while more commonly used methods yield values that may deviate by more a factor of two.
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D.G. Cahill, P.V. Braun, G. Chen, D.R. Clarke, S. Fan, K.E. Goodson, P. Keblinski, W.P. King, G.D. Mahan, A. Majumdar, H.J. Maris, S.R. Phillpot, E. Pop, and L. Shi: Nanoscale thermal transport. II. 2003–2012. Appl. Phys. Rev. 1, 011305 (2014).
M.H. Kryder, E.C. Gage, T.W. McDaniel, W.A. Challener, R.E. Rottmayer, J. Ganping, H. Yiao-Tee, and M.F. Erden: Heat assisted magnetic recording. Proc. IEEE 96, 1810–1835 (2008).
G.J. Snyder and E.S. Toberer: Complex thermoelectric materials. Nat. Mater. 7, 105–114 (2008).
B. Abad, D.A. Borca-Tasciuc, and M.S. Martin-Gonzalez: Non-contact methods for thermal properties measurement. Renewable Sustainable Energy Rev. 76, 1348–1370 (2017).
J. Juszczyk, A. Kazmierczak-Balata, P. Firek, and J. Bodzenta: Measuring thermal conductivity of thin films by scanning thermal microscopy combined with thermal spreading resistance analysis. Ultramicroscopy 175, 81–86 (2017).
A.A. Wilson: Analysis of non-contact and contact probe-to-sample thermal exchange for quantitative measurements of thin film and nanostructure thermal conductivity by the scanning hot probe method. Doctor of Philosophy Dissertation, Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY, USA, 2017.
A.A. Wilson and T. Borca-Tasciuc: Quantifying non-contact tip-sample thermal exchange parameters for accurate scanning thermal microscopy with heated microprobes. Rev. Sci. Instrum. 88, 074903 (2017).
A.A. Wilson, M. Munoz Rojo, B. Abad, J.A. Perez, J. Maiz, J. Schomacker, M. Martin-Gonzalez, D. A. Borca-Tasciuc, and T. Borca-Tasciuc: Thermal conductivity measurements of high and low thermal conductivity films using a scanning hot probe method in the 3omega mode and novel calibration strategies. Nanoscale 7, 15404–15412 (2015).
M.E. DeCoster, K.E. Meyer, B.D. Piercy, J.T. Gaskins, B.F. Donovan, A. Giri, N.A. Strnad, D.M. Potrepka, A.A. Wilson, M.D. Losego, and P.E. Hopkins: Density and size effects on the thermal conductivity of atomic layer deposited TiO 2 and Al 2 O 3 thin films. Thin Solid Films 650, 71–77 (2018).
V.V. Gorbunov, N. Fuchigami, J.L. Hazel, and V.V. Tsukruk: Probing surface microthermal properties by scanning thermal microscopy. Langmuir 15, 8340–8343 (1999).
S. Lefèvre, S. Volz, J.-B. Saulnier, C. Fuentes, and N. Trannoy: Thermal conductivity calibration for hot wire based dc scanning thermal microscopy. Rev. Sci. Instrum. 74, 2418–2423 (2003).
A.A. Wilson, T. Borca-Tasciuc, H. Wang, and C. Yu: Thermal conductivity of double-wall carbon nanotube-polyanaline composites measured by a non-contact scanning hot probe technique. In IEEE 16th Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems, Orlando, FL, USA, 2017, p. 456.
A.A. Wilson, M. Graziano, M. Rivas, D. Baker, and B. Hanrahan: Effective thermal conductivity of iridium oxide nanostructures by a combined noncontact and contact mode scanning hot probe technique. In Electronic and Advanced Materials Conference, Orlando, FL, USA, 2018.
A. Makris, T. Haeger, R. Heiderhoff, and T. Riedl: From diffusive to ballistic Stefan–Boltzmann heat transport in thin non-crystalline films. RSC Adv. 6, 94193–94199 (2016).
R. Heiderhoff, T. Haeger, K. Dawada, and T. Riedl: From diffusive in-plane to ballistic out-of-plane heat transport in thin non-crystalline films. Microelectron. Reliab. 76–77, 222–226 (2017).
A.M. Massoud, J.M. Bluet, V. Lacatena, M. Haras, J.F. Robillard, and P.O. Chapuis: Native-oxide limited cross-plane thermal transport in suspended silicon membranes revealed by scanning thermal microscopy. Appl. Phys. Lett. 111, 063106 (2017).
J. Chung, K. Kim, G. Hwang, O. Kwon, S. Jung, J. Lee, J.W. Lee, and G.T. Kim: Quantitative temperature measurement of an electrically heated carbon nanotube using the null-point method. Rev. Sci. Instrum. 81, 114901 (2010).
K. Kim, J. Chung, G. Hwang, O. Kwon, and J. Lee: Quantitative measurement with scanning thermal microscope by preventing the distortion due to the heat transfer through the air. ACS Nano 5, 8700–8709 (2011).
K. Kim, J. Chung, J. Won, O. Kwon, J.S. Lee, S.H. Park, and Y.K. Choi: Quantitative scanning thermal microscopy using double scan technique. Appl. Phys. Lett. 93, 203115 (2008).
S. Lefèvre, J.B. Saulnier, C. Fuentes, and S. Volz: Probe calibration of the scanning thermal microscope in the AC mode. Superlattices Microstruct. 35, 283–288 (2004).
C.J. Glassbrenner and G.A. Slack: Thermal conductivity of silicon and germanium from 3°K to the melting point. Phys. Rev. 134, A1058–A1069 (1964).
A. Kaźmierczak-Bałata, J. Bodzenta, M. Krzywiecki, J. Juszczyk, J. Szmidt, and P. Firek: Application of scanning microscopy to study correlation between thermal properties and morphology of BaTiO3 thin films. Thin Solid Films 545, 217–221 (2013).
E. Puyoo, S. Grauby, J.M. Rampnoux, E. Rouviere, and S. Dilhaire: Thermal exchange radius measurement: application to nanowire thermal imaging. Rev. Sci. Instrum. 81, 073701 (2010).
Y. Zhang, C.L. Hapenciuc, E.E. Castillo, T. Borca-Tasciuc, R.J. Mehta, C. Karthik, and G. Ramanath: A microprobe technique for simultaneously measuring thermal conductivity and Seebeck coefficient of thin films. Appl. Phys. Lett. 96, 062107 (2010).
E. Puyoo, S. Grauby, J.-M. Rampnoux, E. Rouvière, and S. Dilhaire: Scanning thermal microscopy of individual silicon nanowires. J. Appl. Phys. 109, 024302 (2011).
Y. Zhang, E.E. Castillo, R.J. Mehta, G. Ramanath, and T. Borca-Tasciuc: A noncontact thermal microprobe for local thermal conductivity measurement. Rev. Sci. Instrum. 82, 024902 (2011).
R. Dryden: Effect of a surface coating on the constriction resistance of a spot in an infinite half-plane. J. Heat Transfer 105, 408–410 (1983).
T.-L. Li and S.L.-C. Hsu: Enhanced thermal conductivity of polyimide films via a hybrid of micro- and nano-sized boron nitride. J. Phys. Chem. B 114, 6825–6829 (2010).
I. Williams and R. Shawyer: Certification Report for a Pyrex Glass Reference Material for Thermal Conductivity between-75° C and 195° C. Commission of the European Communities, 1991.
Acknowledgments
This work was performed while the author held an NRC Research Associateship award at the US Army Research Laboratory.
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The supplementary material for this article can be found at https://doi.org/10.1557/mrc.2019.37
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Wilson, A.A. Scanning thermal probe calibration for accurate measurement of thermal conductivity of ultrathin films. MRS Communications 9, 650–656 (2019). https://doi.org/10.1557/mrc.2019.37
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DOI: https://doi.org/10.1557/mrc.2019.37