Error and uncertainty in Raman thermal conductivity measurements
Abstract
We investigated error and uncertainty in Raman thermal conductivity measurements via finite element based numerical simulation of two geometries often employed -- Joule-heating of a wire and laser-heating of a suspended wafer. Using this methodology, the accuracy and precision of the Raman-derived thermal conductivity are shown to depend on (1) assumptions within the analytical model used in the deduction of thermal conductivity, (2) uncertainty in the quantification of heat flux and temperature, and (3) the evolution of thermomechanical stress during testing. Apart from the influence of stress, errors of 5% coupled with uncertainties of ±15% are achievable for most materials under conditions typical of Raman thermometry experiments. Error can increase to >20%, however, for materials having highly temperature dependent thermal conductivities or, in some materials, when thermomechanical stress develops concurrent with the heating. A dimensionless parameter -- termed the Raman stress factor -- is derived to identify when stress effects will induce large levels of error. Together, the results compare the utility of Raman based conductivity measurements relative to more established techniques while at the same time identifying situations where its use is most efficacious.
- Authors:
-
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Georgia Inst. of Technology, Atlanta, GA (United States)
- Georgia Inst. of Technology, Atlanta, GA (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1185029
- Alternate Identifier(s):
- OSTI ID: 1228149
- Report Number(s):
- SAND-2014-20695J
Journal ID: ISSN 0034-6748; 553932
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Review of Scientific Instruments
- Additional Journal Information:
- Journal Volume: 86; Journal Issue: 4; Journal ID: ISSN 0034-6748
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; thermal conductivity; temperature measurement; error analysis; thermal models; graphene
Citation Formats
Thomas Edwin Beechem, Yates, Luke, and Graham, Samuel. Error and uncertainty in Raman thermal conductivity measurements. United States: N. p., 2015.
Web. doi:10.1063/1.4918623.
Thomas Edwin Beechem, Yates, Luke, & Graham, Samuel. Error and uncertainty in Raman thermal conductivity measurements. United States. https://doi.org/10.1063/1.4918623
Thomas Edwin Beechem, Yates, Luke, and Graham, Samuel. 2015.
"Error and uncertainty in Raman thermal conductivity measurements". United States. https://doi.org/10.1063/1.4918623. https://www.osti.gov/servlets/purl/1185029.
@article{osti_1185029,
title = {Error and uncertainty in Raman thermal conductivity measurements},
author = {Thomas Edwin Beechem and Yates, Luke and Graham, Samuel},
abstractNote = {We investigated error and uncertainty in Raman thermal conductivity measurements via finite element based numerical simulation of two geometries often employed -- Joule-heating of a wire and laser-heating of a suspended wafer. Using this methodology, the accuracy and precision of the Raman-derived thermal conductivity are shown to depend on (1) assumptions within the analytical model used in the deduction of thermal conductivity, (2) uncertainty in the quantification of heat flux and temperature, and (3) the evolution of thermomechanical stress during testing. Apart from the influence of stress, errors of 5% coupled with uncertainties of ±15% are achievable for most materials under conditions typical of Raman thermometry experiments. Error can increase to >20%, however, for materials having highly temperature dependent thermal conductivities or, in some materials, when thermomechanical stress develops concurrent with the heating. A dimensionless parameter -- termed the Raman stress factor -- is derived to identify when stress effects will induce large levels of error. Together, the results compare the utility of Raman based conductivity measurements relative to more established techniques while at the same time identifying situations where its use is most efficacious.},
doi = {10.1063/1.4918623},
url = {https://www.osti.gov/biblio/1185029},
journal = {Review of Scientific Instruments},
issn = {0034-6748},
number = 4,
volume = 86,
place = {United States},
year = {Wed Apr 22 00:00:00 EDT 2015},
month = {Wed Apr 22 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
Thermal Conductivity of Monolayer Molybdenum Disulfide Obtained from Temperature-Dependent Raman Spectroscopy
journal, December 2013
- Yan, Rusen; Simpson, Jeffrey R.; Bertolazzi, Simone
- ACS Nano, Vol. 8, Issue 1
Assessment of stress contributions in GaN high electron mobility transistors of differing substrates using Raman spectroscopy
journal, December 2009
- Beechem, Thomas; Christensen, Adam; Green, D. S.
- Journal of Applied Physics, Vol. 106, Issue 11
Temperature amplification during laser heating of polycrystalline silicon microcantilevers due to temperature-dependent optical properties
journal, April 2009
- Serrano, Justin R.; Phinney, Leslie M.; Rogers, James W.
- International Journal of Heat and Mass Transfer, Vol. 52, Issue 9-10
Two-Dimensional Phonon Transport in Supported Graphene
journal, April 2010
- Seol, J. H.; Jo, I.; Moore, A. L.
- Science, Vol. 328, Issue 5975
Thermal conductivity measurement from 30 to 750 K: the 3ω method
journal, February 1990
- Cahill, David G.
- Review of Scientific Instruments, Vol. 61, Issue 2
Measurement of porous silicon thermal conductivity by micro-Raman scattering
journal, October 1999
- Périchon, S.; Lysenko, V.; Remaki, B.
- Journal of Applied Physics, Vol. 86, Issue 8
Mean Free Path Effects on the Experimentally Measured Thermal Conductivity of Single-Crystal Silicon Microbridges
journal, July 2013
- English, Timothy S.; Phinney, Leslie M.; Hopkins, Patrick E.
- Journal of Heat Transfer, Vol. 135, Issue 9
Controlled ripple texturing of suspended graphene and ultrathin graphite membranes
journal, July 2009
- Bao, Wenzhong; Miao, Feng; Chen, Zhen
- Nature Nanotechnology, Vol. 4, Issue 9
Characterization of thermal transport in micro/nanoscale wires by steady-state electro-Raman-thermal technique
journal, July 2009
- Yue, Yanan; Eres, Gyula; Wang, Xinwei
- Applied Physics A, Vol. 97, Issue 1
Thermal Conductivity of Graphene in Corbino Membrane Geometry
journal, March 2010
- Faugeras, Clement; Faugeras, Blaise; Orlita, Milan
- ACS Nano, Vol. 4, Issue 4
Van der Waals heterostructures
journal, July 2013
- Geim, A. K.; Grigorieva, I. V.
- Nature, Vol. 499, Issue 7459, p. 419-425
Micro-Raman thermometry in the presence of complex stresses in GaN devices
journal, June 2008
- Beechem, T.; Christensen, A.; Graham, S.
- Journal of Applied Physics, Vol. 103, Issue 12
Superior Thermal Conductivity of Single-Layer Graphene
journal, March 2008
- Balandin, Alexander A.; Ghosh, Suchismita; Bao, Wenzhong
- Nano Letters, Vol. 8, Issue 3, p. 902-907
Measurement of In-Plane Thermal Conductivity of Ultrathin Films Using Micro-Raman Spectroscopy
journal, April 2014
- Luo, Zhe; Liu, Han; Spann, Bryan T.
- Nanoscale and Microscale Thermophysical Engineering, Vol. 18, Issue 2
Invited Article: Simultaneous mapping of temperature and stress in microdevices using micro-Raman spectroscopy
journal, June 2007
- Beechem, Thomas; Graham, Samuel; Kearney, Sean P.
- Review of Scientific Instruments, Vol. 78, Issue 6
Thermal conductivity of GaAs nanowires studied by micro-Raman spectroscopy combined with laser heating
journal, December 2010
- Soini, Martin; Zardo, Ilaria; Uccelli, Emanuele
- Applied Physics Letters, Vol. 97, Issue 26
Analysis of heat flow in layered structures for time-domain thermoreflectance
journal, December 2004
- Cahill, David G.
- Review of Scientific Instruments, Vol. 75, Issue 12
Thermal Transport in Suspended and Supported Monolayer Graphene Grown by Chemical Vapor Deposition
journal, May 2010
- Cai, Weiwei; Moore, Arden L.; Zhu, Yanwu
- Nano Letters, Vol. 10, Issue 5, p. 1645-1651
Raman Measurements of Thermal Transport in Suspended Monolayer Graphene of Variable Sizes in Vacuum and Gaseous Environments
journal, December 2010
- Chen, Shanshan; Moore, Arden L.; Cai, Weiwei
- ACS Nano, Vol. 5, Issue 1
Measurement of temperature distribution in multifinger AlGaN/GaN heterostructure field-effect transistors using micro-Raman spectroscopy
journal, January 2003
- Kuball, M.; Rajasingam, S.; Sarua, A.
- Applied Physics Letters, Vol. 82, Issue 1
Micro-Raman spectroscopy to study local mechanical stress in silicon integrated circuits
journal, February 1996
- Wolf, Ingrid De
- Semiconductor Science and Technology, Vol. 11, Issue 2
Optical Absorption and Thermal Transport of Individual Suspended Carbon Nanotube Bundles
journal, February 2009
- Hsu, I-Kai; Pettes, Michael T.; Bushmaker, Adam
- Nano Letters, Vol. 9, Issue 2
Strain effects on optical phonons in 〈111〉 GaAs layers analyzed by Raman scattering
journal, November 1997
- Puech, Pascal; Landa, Georges; Carles, Robert
- Journal of Applied Physics, Vol. 82, Issue 9
Thickness-Dependent Thermal Conductivity of Encased Graphene and Ultrathin Graphite
journal, October 2010
- Jang, Wanyoung; Chen, Zhen; Bao, Wenzhong
- Nano Letters, Vol. 10, Issue 10, p. 3909-3913
Thermal Transport across Solid Interfaces with Nanoscale Imperfections: Effects of Roughness, Disorder, Dislocations, and Bonding on Thermal Boundary Conductance
journal, January 2013
- Hopkins, Patrick E.
- ISRN Mechanical Engineering, Vol. 2013
Accurate experimental determination of the Poisson’s ratio of GaN using high-resolution x-ray diffraction
journal, July 2007
- Moram, M. A.; Barber, Z. H.; Humphreys, C. J.
- Journal of Applied Physics, Vol. 102, Issue 2
Brillouin scattering study of bulk GaN
journal, June 1999
- Yamaguchi, M.; Yagi, T.; Sota, T.
- Journal of Applied Physics, Vol. 85, Issue 12
Photoluminescence, Thermal Transport, and Breakdown in Joule-Heated GaN Nanowires
journal, January 2009
- Westover, Tyler; Jones, Reese; Huang, J. Y.
- Nano Letters, Vol. 9, Issue 1
A novel contactless technique for thermal field mapping and thermal conductivity determination: Two-Laser Raman Thermometry
journal, March 2014
- Reparaz, J. S.; Chavez-Angel, E.; Wagner, M. R.
- Review of Scientific Instruments, Vol. 85, Issue 3
Temperature-Dependent Raman Studies and Thermal Conductivity of Few-Layer MoS 2
journal, April 2013
- Sahoo, Satyaprakash; Gaur, Anand P. S.; Ahmadi, Majid
- The Journal of Physical Chemistry C, Vol. 117, Issue 17
Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene
journal, July 2008
- Lee, C.; Wei, X.; Kysar, J. W.
- Science, Vol. 321, Issue 5887, p. 385-388
Comparison of the 3ω method and time-domain thermoreflectance for measurements of the cross-plane thermal conductivity of epitaxial semiconductors
journal, March 2009
- Koh, Yee Kan; Singer, Suzanne L.; Kim, Woochul
- Journal of Applied Physics, Vol. 105, Issue 5
Single element Raman thermometry
journal, June 2013
- Saltonstall, Christopher B.; Serrano, Justin; Norris, Pamela M.
- Review of Scientific Instruments, Vol. 84, Issue 6
Measuring the thermal conductivity of individual carbon nanotubes by the Raman shift method
journal, March 2009
- Li, Qingwei; Liu, Changhong; Wang, Xueshen
- Nanotechnology, Vol. 20, Issue 14
Thermal conductivity of suspended pristine graphene measured by Raman spectroscopy
journal, February 2011
- Lee, Jae-Ung; Yoon, Duhee; Kim, Hakseong
- Physical Review B, Vol. 83, Issue 8
Technology and micro-Raman characterization of thick meso-porous silicon layers for thermal effect microsystems
journal, August 2000
- Périchon, S.; Lysenko, V.; Roussel, Ph
- Sensors and Actuators A: Physical, Vol. 85, Issue 1-3
Structural Defects and Their Relationship to Nucleation of Gan Thin Films
journal, January 1996
- Gian, Weida; Skowronski, Marek; Rohrer, Greg S.
- MRS Proceedings, Vol. 423
High-Resolution Raman Temperature Measurements in GaAs p-HEMT Multifinger Devices
journal, August 2007
- Sarua, A.; Bullen, A.; Haynes, M. .
- IEEE Transactions on Electron Devices, Vol. 54, Issue 8
Uniaxial strain in graphene by Raman spectroscopy: peak splitting, Grüneisen parameters, and sample orientation
journal, May 2009
- Mohiuddin, T. M. G.; Lombardo, A.; Nair, R. R.
- Physical Review B, Vol. 79, Issue 20
Thermal conductance of interfaces between highly dissimilar materials
journal, April 2006
- Lyeo, Ho-Ki; Cahill, David G.
- Physical Review B, Vol. 73, Issue 14
Interplay between Raman shift and thermal expansion in graphene: Temperature-dependent measurements and analysis of substrate corrections
journal, February 2015
- Linas, S.; Magnin, Y.; Poinsot, B.
- Physical Review B, Vol. 91, Issue 7
Uniaxial Strain in Graphene by Raman Spectroscopy: G peak splitting, Gruneisen Parameters and Sample Orientation
text, January 2008
- Mohiuddin, T. M. G.; Lombardo, A.; Nair, R. R.
- arXiv
Temperature Dependent Raman Studies and Thermal Conductivity of Few Layer MoS2
text, January 2013
- Sahoo, Satyaprakash; Gaur, Anand P. S.; Ahmadi, Majid
- arXiv
Interplay between Raman shift and thermal expansion in graphene: temperature-dependent measurements and analysis of substrate corrections
text, January 2014
- Linas, S.; Magnin, Y.; Poinsot, B.
- arXiv
Works referencing / citing this record:
An electrical thermometry platform for measuring cross-plane thermal conductivity of 2D flakes on substrate
journal, September 2019
- Hua, Yu-Chao; Xing, Lei; Jiao, Li-Ying
- Applied Physics Letters, Vol. 115, Issue 12
Nonmonotonic thickness-dependence of in-plane thermal conductivity of few-layered MoS 2 : 2.4 to 37.8 nm
journal, January 2018
- Yuan, Pengyu; Wang, Ridong; Wang, Tianyu
- Physical Chemistry Chemical Physics, Vol. 20, Issue 40
Determination of thermal conductivity using micro‐Raman spectroscopy with a three‐dimensional heating model
journal, August 2019
- Cao, Fangcheng; He, Zhen
- Journal of Raman Spectroscopy, Vol. 50, Issue 12
Thermal conductivity of MoS 2 monolayers from molecular dynamics simulations
journal, March 2019
- Krishnamoorthy, Aravind; Rajak, Pankaj; Norouzzadeh, Payam
- AIP Advances, Vol. 9, Issue 3
Temperature-dependent thermal conductivity of a single Germanium nanowire measured by Optothermal Raman Spectroscopy
preprint, January 2020
- Sett, S.; Aggarwal, V. K.; Singha, A.
- arXiv