Invited Article: Micron resolution spatially resolved measurement of heat capacity using dual-frequency time-domain thermoreflectance
Abstract
A pump-probe photothermal technique – dual-frequency time-domain thermoreflectance – was developed for measuring heat capacity with a spatial resolution on the order of 10 μm. The method was validated by measuring several common materials with known heat capacity. Rapid measurement of composition-phase-property relationships was demonstrated on Ti-TiSi2 and Ni-Zr diffusion couples; experimental values of heat capacity of the intermetallic compounds in these diffusion couples were compared with literature values and CALPHAD (CALculation of PHAse Diagram) calculations. The combination of this method and diffusion multiples provides an efficient way to generate thermodynamic data for CALPHAD modeling and database construction. The limitation of this method in measuring low thermal diffusivity materials is also discussed.
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TDTR has been frequently used to measure the heat capacity of new materials and the thermal conductance of various solid/solid interfaces.
“The heat capacity of new materials 38, 39 and thermal conductance of various solid/solid interfaces 40-47 have also been frequently measured using TDTR.”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [39]
The double-modulation scheme removes coherent pick-up contributions to the signal at the radio frequency.
“This double lock-in scheme removes coherent pick-up contributions to the signal at the radio frequency. 39”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [39]
An accurate and easy-to-use approach for TDTR to characterize laser spot size is to measure the spatial correlation between the pump and probe focal spots; this works well because TDTR signals are affected by the RMS average of the pump and probe spot sizes rather than their individual sizes.
“For the characterization of the laser spot size, while many techniques such as the knife-edge method 25, 107 and patterned sample image method 94 can be used, an accurate and easy-to-use approach for TDTR is to measure the spatial correlation between the pump and probe focal spots. 39”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [39]
TDTR can determine thermal conductivity K and heat capacity C simultaneously for both bulk and thin film materials by performing multiple measurements at different modulation frequencies.
“TDTR has been demonstrated to determine thermal conductivity K and heat capacity C simultaneously for both bulk and thin film materials by performing multiple measurements using different modulation frequencies, 38, 39”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [39]
Cites
A frequency-domain thermoreflectance method for the characterization of thermal properties
Schmidt, A. J., Cheaito, R., & Chiesa, M. (2009) · Review of Scientific Instruments · doi:10.1063/1.3212673 · Cited by 543 · see citing works
Capinski, W. S., Maris, H. J., Ruf, T., Cardona, M., Ploog, K., & Katzer, D. S. (1999) · Physical Review B · doi:10.1103/physrevb.59.8105 · Cited by 471 · see citing works
Thermal Conductance of Hydrophilic and Hydrophobic Interfaces
Ge, Z., Cahill, D. G., & Braun, P. V. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.186101 · Cited by 455 · see citing works
Self-citationAn optical pump-probe technique for measuring the thermal conductivity of liquids
Schmidt, A., Chiesa, M., Chen, X., & Chen, G. (2008) · Review of Scientific Instruments · doi:10.1063/1.2937458 · Cited by 184 · see citing works
Liu, J., Zhu, J., Tian, M., Gu, X., Schmidt, A., & Yang, R. (2013) · Review of Scientific Instruments · doi:10.1063/1.4797479 · Cited by 163 · see citing works
Thermoreflectance of metal transducers for optical pump-probe studies of thermal properties
Wilson, R. B., Apgar, B. A., Martin, L. W., & Cahill, D. G. (2012) · Optics Express · doi:10.1364/oe.20.028829 · Cited by 160 · see citing works
Self-citationZheng, X., Cahill, D. G., Krasnochtchekov, P., Averback, R. S., & Zhao, J.-C. (2007) · Acta Materialia · doi:10.1016/j.actamat.2007.05.037 · Cited by 117 · see citing works
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Jiang, P., Qian, X., & Yang, R. (2018) · Journal of Applied Physics · doi:10.1063/1.5046944 · Cited by 424 · see citing works
Liu, J., Choi, G.-M., & Cahill, D. G. (2014) · Journal of Applied Physics · doi:10.1063/1.4904513 · Cited by 262 · see citing works
Self-citationJiang, P., Qian, X., & Yang, R. (2017) · Review of Scientific Instruments · doi:10.1063/1.4991715 · Cited by 175 · see citing works
Jiang, P., Huang, B., & Koh, Y. K. (2016) · Review of Scientific Instruments · doi:10.1063/1.4954969 · Cited by 66 · see citing works
- Authors
- Wei, C., Zheng, X., Cahill, D. G., & Zhao, J.-C.
- Affiliations
- The Ohio State University (US)
- Seagate (United States) (US)
- University of Illinois Urbana-Champaign (US)
- Venue
- Review of Scientific Instruments
- Publisher
- AIP Publishing
- Published
- 2013-07-01
- Volume
- 84
- Issue
- 7
- Pages
- 071301-071301
- ISSN
- 0034-6748 (ISSN-L)
- 1089-7623
- OpenAlex
- W2047474443
- Cited by
- 110
- References
- 7
- Citations by year
- 2026: 5 · 2025: 13 · 2024: 8 · 2023: 6 · 2022: 12 · 2021: 10 · 2020: 6 · 2019: 8 · 2018: 9 · 2017: 9 · 2016: 9 · 2015: 5 · 2014: 10
- FWCI
- 9.22
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Review of Scientific Instruments (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Science Foundation
- Ohio State University
- Division of Materials Research
- Topics
- Physical Sciences › Engineering › Mechanics of Materials › Thermography and Photoacoustic Techniques
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Physical Sciences › Engineering › Mechanical Engineering › Thermodynamic and Structural Properties of Metals and Alloys
- Keywords
- heat capacity measurement, time-domain thermoreflectance, spatially resolved measurement, intermetallic compounds, diffusion couples
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