Ultrafast thermoreflectance techniques for measuring thermal conductivity and interface thermal conductance of thin films

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Ultralow Thermal Conductivity in Disordered, Layered WSe 2 Crystals

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Pulse accumulation, radial heat conduction, and anisotropic thermal conductivity in pump-probe transient thermoreflectance

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Depth-resolved thermal conductivity and damage in swift heavy ion irradiated metal oxides

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Thermoelectric Properties of Amorphous Zr-Ni-Sn Thin Films Deposited by Magnetron Sputtering

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Analysis of simplified heat transfer models for thermal property determination of nano-film by TDTR method

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Comprehensive analysis of the contribution from the heat capacity in thermal measurement on nanoscale thin films

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Role of the electron–phonon coupling in tuning the thermal boundary conductance at metal-dielectric interfaces by inserting ultrathin metal interlayers

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Thermal effects in spintronic materials and devices: An experimentalist’s guide

Zink, B. L. (2022) · Journal of Magnetism and Magnetic Materials · doi:10.1016/j.jmmm.2022.170120 · Cited by 14

Metal-insulator transition and interfacial thermal transport in atomic layer deposited Ru nanofilms characterized by ultrafast terahertz spectroscopy

Shin, H. J., Lee, J., Bae, S., Kim, W., & Sim, S. (2021) · Applied Surface Science · doi:10.1016/j.apsusc.2021.150184 · Cited by 13

High throughput substrate screening for interfacial thermal management of β-Ga2O3 by deep convolutional neural network

Al‐Fahdi, M., & Hu, M. (2024) · Journal of Applied Physics · doi:10.1063/5.0201699 · Cited by 12

Exploring Doping Mechanisms and Modulating Carrier Concentration in Copper Iodide: Applications in Thermoelectric Materials

Kim, G. H., Kim, H. M., Lee, H., Cho, J., Ryu, J., Kang, D., Chung, I. J., Jang, H., Ahn, K., & Kim, M. (2024) · Small · doi:10.1002/smll.202403133 · Cited by 12

Experimental Validation of Formula for Calculation Thermal Diffusivity in Superlattices Performed Using a Combination of Two Frequency-Domain Methods: Photothermal Infrared Radiometry and Thermoreflectance

Pawlak, M., Kruck, T., Spitzer, N., Dziczek, D., Ludwig, A., & Wieck, A. D. (2021) · Applied Sciences · doi:10.3390/app11136125 · Cited by 12

A method for the frequency control in time-resolved two-dimensional gigahertz surface acoustic wave imaging

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Transient in-plane thermal transport in nanofilms with internal heating

Hua, Y., & Cao, B. (2016) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2015.0811 · Cited by 12

Combined thermo-physical investigations of thin layers with Time Domain Thermoreflectance and Scanning Thermal Microscopy on the example of 500 nm thin, CVD grown tungsten

Fladischer, K., Leitgeb, V., Mitterhuber, L., Maier, G. A., Kečkéš, J., Sagmeister, M., Carniello, S., & Defregger, S. (2019) · Thermochimica Acta · doi:10.1016/j.tca.2019.178373 · Cited by 12

Logarithmic sensitivity ratio elucidates thermal transport physics in multivariate thermoreflectance experiments

Tu, J., Haque, M. A., Baran, D., & Ong, W. (2023) · Fundamental Research · doi:10.1016/j.fmre.2023.01.010 · Cited by 11

Interface thermal resistance of micron-thin film

Chen, S., Zheng, F., Wei, Q., Li, J., & Zhang, Y. (2023) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2023.124037 · Cited by 11

Study on thermoreflectance linear relation of gallium nitride epitaxial structures at above-bandgap wavelength

Ma, Y., Wu, M., Zhang, H., Sun, H., & Yuan, C. (2024) · Materials Today Physics · doi:10.1016/j.mtphys.2024.101367 · Cited by 11

Simultaneous measurement of cross-plane thermal conductivity and interfacial thermal conductance of nano-metal films on a low thermal diffusivity substrate using TDTR

Zeng, Y., Li, L., Wang, S., Sun, F., Wang, Z., Tu, X., & Li, C. (2024) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2024.125542 · Cited by 11

Anisotropic Thermal Property Measurement of Carbon-fiber/Epoxy Composite Materials

Tian, T. (2011) · Lincoln (University of Nebraska) · Cited by 11

Incoherent-to-coherent crossover in thermal transport through III–V alloy superlattices

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The effect of binding energy on optimizing the interfacial thermal transport in metal-MoS2-dielectric nanostructures

Zhou, J., Zhao, H., Fan, X., Yuan, K., Wang, Z., Zhang, Z., Li, D., Zhang, X., Chen, H., Tang, D., et al. (2023) · Materials Today Physics · doi:10.1016/j.mtphys.2023.101272 · Cited by 11

Perspectives on interfacial thermal resistance of 2D materials: Raman characterization and underlying physics

Liu, J., Keyyam, I. A., Xie, Y., & Wang, X. (2024) · Surface Science and Technology · doi:10.1007/s44251-024-00037-6 · Cited by 13

Measurement of in-plane sheet thermal conductance of single-walled carbon nanotube thin films by steady-state infrared thermography

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Experimental Investigations on Thermal Transport Properties of Nanoscale-Graphite-Film

Zhou, J., Shi, C., Zhang, Z., Fan, X., Ling, Z., Zhu, J., & Tang, D. (2022) · Journal of Thermal Science · doi:10.1007/s11630-022-1622-9 · Cited by 11

Photothermal Evidence of Laterally Inhomogeneous Interfacial Thermal Resistance in Copper-Coated Carbon Samples

Kijamnajsuk, P., Pelzl, J., Chirtoc, M., Horny, N., Schäfer, D., & Eisenmenger-Sittner, C. (2012) · International Journal of Thermophysics · doi:10.1007/s10765-012-1277-y · Cited by 11

Direct Investigation of the Birefringent Optical Properties of Black Phosphorus with Picosecond Interferometry

Zheng, W., Nemilentsau, A. M., Lattery, D. M., Wang, P., Low, T., Zhu, J., & Wang, X. (2017) · Advanced Optical Materials · doi:10.1002/adom.201700831 · Cited by 11

Anisotropic thermal property characterizations and optical phonon contribution analysis of ZnO under high pressure

Fan, X., Zhang, Z., Zhou, J., Yuan, K., Zhu, J., & Tang, D. (2023) · Journal of Materials Research and Technology · doi:10.1016/j.jmrt.2023.04.119 · Cited by 10

Recent Progress in Modulated Photothermal Radiometry

Corona, J., & Kandadai, N. (2023) · Sensors · doi:10.3390/s23104935 · Cited by 11

Rapid and economical data acquisition in ultrafast frequency-resolved spectroscopy using choppers and a microcontroller

Guo, L., Monahan, D. M., & Fleming, G. (2016) · Optics Express · doi:10.1364/oe.24.018126 · Cited by 10

Length dependence thermal conductivity of zinc selenide (ZnSe) and zinc telluride (ZnTe) – a combined first principles and frequency domain thermoreflectance (FDTR) study

Muthaiah, R., Annam, R. S., Tarannum, F., Gupta, A. K., Garg, J., & Arafin, S. (2022) · Physical Chemistry Chemical Physics · doi:10.1039/d2cp03612f · Cited by 9

Co-enhancement of thermal conduction and radiation through morphologies controlling of graphene functional layer for chip thermal management

Cheng, S., Wang, K., Xu, S., Cheng, Y., Liu, R., Huang, K., Yuan, H., Li, W., Yang, Y., Liang, F., et al. (2024) · Nano Research · doi:10.1007/s12274-024-6540-6 · Cited by 9

Simultaneous determination of the phase boundary thermal resistance and thermal conductivity in phase-separated TiO2 thin films

Kim, J., Lee, S., Park, S. I., Baek, J., Seo, D., Choi, G., An, J., & Cho, J. (2024) · Acta Materialia · doi:10.1016/j.actamat.2024.120165 · Cited by 9

Phonon state modulated by interfacial binding at carbon/copper interface

Zhong, B., Ni, J., Zhang, Q., Huang, H., Liu, Y., Song, J., Liu, Y., & Fan, T. (2025) · Acta Materialia · doi:10.1016/j.actamat.2025.121211 · Cited by 9

Observation of suppressed diffuson and propagon thermal conductivity of hydrogenated amorphous silicon films

Zhang, Y., Eslamisaray, M. A., Feng, T., Kortshagen, U. R., & Wang, X. (2021) · Nanoscale Advances · doi:10.1039/d1na00557j · Cited by 9

Measuring anisotropic thermal conductivity of aluminum nitride films with the ultra-fast hot strip technique

Belkerk, B. E., Camus, J., Garnier, B., Brithen, H. A., Sahli, S., & Djouadi, M. A. (2020) · International Journal of Thermal Sciences · doi:10.1016/j.ijthermalsci.2019.106259 · Cited by 11

Effects of diamond/Al interface structure evolution on interfacial thermal conductance during the carbonization of the Cr interlayer

Yang, Z., Zhang, J., Chen, Z., Ma, Y., Zhu, Z., Zhang, H., Gao, Y., & Zhang, H. (2024) · Materials Characterization · doi:10.1016/j.matchar.2024.114303 · Cited by 8

Semi-in-situ thermal transport characterization of thermal interface materials through a low-frequency thermoreflectance technique

Li, X., Li, A., Shi, H., Yao, Y., Ye, Z., Wen, Z., Ren, L., Zeng, X., Xu, J., Han, M., et al. (2024) · Measurement · doi:10.1016/j.measurement.2024.115648 · Cited by 8

Thermal conductivity of low-dimensional materials: Recent progress, prospects, and challenges

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Measuring Thermal Conductivity with Magnitude-Dependent Frequency–Domain Thermoreflectance Using Modulated CW Lasers

Myers, K., Gaddam, P. R., Ding, X., Kochergin, V., Huxtable, S. T., & Robinson, H. D. (2018) · International Journal of Thermophysics · doi:10.1007/s10765-018-2458-0 · Cited by 7

Dual-wavelength flash Raman mapping method for measuring thermal diffusivity of the suspended nanowire

Hu, Y., Fan, A., Wang, H., Ma, W., & Zhang, X. (2020) · Science China Technological Sciences · doi:10.1007/s11431-019-9558-3 · Cited by 7

Extraction of interfacial thermal resistance across an organic/semiconductor interface using optical-interference contactless thermometry

Yu, J., Hanafusa, H., & Higashi, S. (2024) · Applied Physics Express · doi:10.35848/1882-0786/ad2b01 · Cited by 6

Investigation of interfacial thermal resistance between Bi2Te3 thin films and metal electrodes via TDTR

Zhao, B., Qu, Y., Zhao, W., & Deng, Y. (2024) · Materials Today Physics · doi:10.1016/j.mtphys.2024.101379 · Cited by 6

Microscale, bendable thermoreflectance sensor for local measurements of the thermal effusivity of biological fluids and tissues

Xie, X., Diao, Z., & Cahill, D. G. (2020) · Review of Scientific Instruments · doi:10.1063/1.5141376 · Cited by 6

Thermal wave propagation in thin films on substrate: the time‐harmonic thermal transfer function

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Investigation of pressure dependence of interface thermal resistance in thermal greases by transient thermoreflectance

Burzo, M. G., & Li, M. (2018) · Annual IEEE Semiconductor Thermal Measurement and Management Symposium/Proceedings · doi:10.1109/semi-therm.2018.8357373 · Cited by 5

Cross-plane thermal transport measurements across CVD grown few layer graphene films on a silicon substrate

Lu, B., Zhang, L., & Balogun, O. O. (2019) · AIP Advances · doi:10.1063/1.5095934 · Cited by 6

Wafer-Level Simultaneous Film Thickness and Thermal Conductivity Characterizations for Bonded Si-on-Si

Xu, P., Hu, X., Zhou, S., Mao, Y., Ma, G., Ma, Y., Liu, T., & Yuan, C. (2024) · ACS Applied Electronic Materials · doi:10.1021/acsaelm.4c01368 · Cited by 5

Thermoreflectance-based thermometry of silicon thin films with resonantly enhanced temperature sensitivity

Shi, C., Wang, X., Zheng, Q., Maroske, J., & Thompson, D. (2023) · Optics Express · doi:10.1364/oe.511938 · Cited by 5

Simultaneous measurement of thermal conductivity, heat capacity, and interfacial thermal conductance by leveraging negative delay-time data in time-domain thermoreflectance

Zhang, M., Chen, T., Zeng, A., Tang, J., Guo, R., & Jiang, P. (2025) · Progress in Natural Science Materials International · doi:10.1016/j.pnsc.2025.02.001 · Cited by 5

Heat transfer in photovoltaic polymers and bulk‐heterojunctions investigated by scanning photothermal deflection technique

Chiu, K. L., Ho, J. K. W., Zhang, C., Cheung, S. H., Yin, H., Chan, M. H., & So, S. K. (2021) · Nano Select · doi:10.1002/nano.202000226 · Cited by 5

Estimating thin-film thermal conductivity by optical pump thermoreflectance imaging and finite element analysis

Alajlouni, S., Ramos, D. A. L., Maize, K., Pérez, N., Nielsch, K., Schierning, G., & Shakouri, A. (2022) · Journal of Applied Physics · doi:10.1063/5.0084566 · Cited by 5

Thermo-optical measurements using quantitative phase microscopy

Tanjaya, N. K., Toda, K., Ideguchi, T., & Ishii, S. (2023) · Optics Letters · doi:10.1364/ol.489182 · Cited by 5

Liquid Interface for Accurate Intrinsic Thermal Conductivity Measurements of Polymer Films Using the Transient Plane Source Method

Zeng, Z., Sowiński, P., Müller, C., & Mihiretie, B. (2025) · Journal of Thermal Science and Engineering Applications · doi:10.1115/1.4069207 · Cited by 4

Resonant enhancement of the thermoreflectance response of silicon nanodisks

Wang, X., Shi, C., Zheng, Q., & Thompson, D. (2025) · Applied Physics Letters · doi:10.1063/5.0276240 · Cited by 5

Enhancing the precision of thermal conductivity measurement via transducer patterning in frequency-domain thermoreflectance

Akura, Y., Matsunaga, Y., Liu, L., Ikeda, Y., Shimofuri, M., Banerjee, A., Tsuchiya, T., & Hirotani, J. (2025) · Review of Scientific Instruments · doi:10.1063/5.0272055 · Cited by 4

Significantly enhanced heat transport capability across nitrogen-doped graphene/metal interface through lattice substitution induced inelastic phonon scattering

Huang, H., Yang, K., Hu, S., Zhong, B., Wang, Y., Zhang, Q., Ni, J., Liu, Y., Gu, X., Liu, Y., et al. (2026) · Acta Materialia · doi:10.1016/j.actamat.2026.121908 · Cited by 5

Electronic interfacial thermal conductance between metal nano-films in sub-picosecond non-equilibrium transport process

Li, G., Zhang, Z., Li, D., Zhu, J., & Tang, D. (2024) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2024.125717 · Cited by 4

Review of Thermal Gap Conductance Models and Measurement Approaches Toward an Understanding Beyond UO2 and Zirconium-Alloy Interfaces

Goodson, M., Noble, G., Li, L., Cai, L., Pavlov, T. R., & Munro, T. (2025) · International Journal of Thermophysics · doi:10.1007/s10765-025-03582-w · Cited by 4

Structure design for high performance n-type polymer thermoelectric materials

Zhang, Q., Sun, H., & Zhu, M. (2021) · Chinese Physics B · doi:10.1088/1674-1056/ac3a64 · Cited by 4

Application of Transfer Function in Predicting the Temperature Field of Space Equipment Under Periodic External Heat Flow

Qian, J., & Sun, L. (2022) · Frontiers in Energy Research · doi:10.3389/fenrg.2022.833071 · Cited by 4

High-temperature and high-pressure thermal property measurements of SiO2 crystals

Fan, X., Zhou, J., Zhang, Z., Zhang, K., Li, D., Tang, D., & Zhu, J. (2023) · Review of Scientific Instruments · doi:10.1063/5.0179428 · Cited by 4

Magnetic phase dependency of the thermal conductivity of FeRh from thermoreflectance experiments and numerical simulations

Castellano, A., Alhada–Lahbabi, K., Arregi, J. A., Uhlíř, V., Perrin, B., Gourdon, C., Fournier, D., Verstraete, M. J., & Thevenard, L. (2024) · Physical Review Materials · doi:10.1103/physrevmaterials.8.084411 · Cited by 4

Polydimethylsiloxane (PDMS)-assisted non-destructive transient thermoreflectance characterizations

Zhou, S., Meng, B., & Yuan, C. (2024) · Review of Scientific Instruments · doi:10.1063/5.0188808 · Cited by 4

Thermal metrology for deeply buried low-thermal-resistance interfaces

Gaitonde, A. U., Weibel, J. A., & Marconnet, A. M. (2025) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2024.126591 · Cited by 4

Time-domain thermoreflectance technique using multiple delayed probe pulses for high-throughput data acquisition and analysis

Arima, H., Yamashita, Y., & Yagi, T. (2025) · Science and Technology of Advanced Materials · doi:10.1080/14686996.2025.2523240 · Cited by 4

The number of independent elements in heat transmission matrices

Bácsi, Á. (2019) · International Journal of Thermal Sciences · doi:10.1016/j.ijthermalsci.2019.01.005 · Cited by 4

Microscopie thermique à sonde locale : Etalonnages, protocoles de mesure et applications quantitatives sur des matériaux nanostructurés

Guen, E. (2020) · doi:10.70675/8c945230zf4c2z4e86z89d4zbce8e6b755bd · Cited by 4

Machine learning-driven data analysis for three-layer time-domain thermoreflectance measurements

Wang, Z., Linghu, B., Li, D., Zhu, J., & Tang, D. (2025) · International Communications in Heat and Mass Transfer · doi:10.1016/j.icheatmasstransfer.2025.110398 · Cited by 4

Time-domain electrical heating for broad-range and anisotropic thermophysical characterization of semiconductors

Zhao, L., Yang, Y., Zhou, Y., Zhao, Y., & Zhang, L. (2026) · Applied Physics Letters · doi:10.1063/5.0319584 · Cited by 3

Lifetime of photoexcited carriers in space-controlled Si nanopillar/SiGe composite films investigated by a laser heterodyne photothermal displacement method

Harada, T., Ohori, D., Endo, K., Samukawa, S., Ikari, T., & Fukuyama, A. (2023) · Journal of Applied Physics · doi:10.1063/5.0146578 · Cited by 3

3ω Method for thermal conductivity measurement of thin sheet materials

Yang, X. P., Zhao, H., Wang, C., Shen, Y., Zhang, P., Chen, H., Zhang, T., & Zheng, X. (2025) · Journal of Applied Physics · doi:10.1063/5.0251786 · Cited by 3

Measurement and analysis of thermal conductivity of isotopically controlled silicon layers by time‐resolved X‐ray scattering

Eon, S., Frieling, R., Plech, A., & Bracht, H. A. (2016) · physica status solidi (a) · doi:10.1002/pssa.201532607 · Cited by 3

Effect of hydrostatic strain on the thermal conductivity of β-SiC: A combined molecular dynamics and lattice dynamics investigation

Wang, Y., & Fu, B. (2023) · Journal of materials research/Pratt's guide to venture capital sources · doi:10.1557/s43578-023-00914-0 · Cited by 3

Wavelength dependence of thermoreflectance coefficient of TiNi thin film

Murakami, T., Shimofuri, M., Tsuchiya, T., & Miyake, S. (2025) · Japanese Journal of Applied Physics · doi:10.35848/1347-4065/adb299 · Cited by 3

Modulated heat conduction in a two-layer dielectric system with dynamical interface thermal resistance

Alaili, K., Ordoñez-Miranda, J., & Ezzahri, Y. (2018) · Journal of Applied Physics · doi:10.1063/1.5058747 · Cited by 3

An accurate method to determine nano-film thickness in diamond anvil cells for time domain thermoreflectance measurements

Zhang, Z., Fan, X., Zhu, J., Zhou, J., & Tang, D. (2022) · Review of Scientific Instruments · doi:10.1063/5.0084489 · Cited by 3

Quantitative SThM Characterization for Heat Dissipation Through Thin Layers

Leitgeb, V., Fladischer, K., Mitterhuber, L., & Defregger, S. (2019) · International Workshop on Thermal Investigations of ICs and Systems · doi:10.1109/therminic.2019.8923739 · Cited by 3

Cross-plane thermal transport in columnar-grained films governed by coordinated evolution of grain size and edge dislocation distribution

Jiang, M., Yang, M., Linghu, B., Lv, S., Li, D., Lin, L., Zhu, J., Xu, Q., Tu, R., Tang, D., et al. (2026) · Acta Materialia · doi:10.1016/j.actamat.2026.122158 · Cited by 3

Organic Conjugated Small Molecules with High Thermal Conductivity as an Effective Coupling Layer for Heat Transfer

Liu, D., Wang, S., Zhang, J., Zeng, J., Han, M., Yao, Y., Xu, J., Zeng, X., & Sun, R. (2023) · ACS Applied Materials & Interfaces · doi:10.1021/acsami.3c12927 · Cited by 2

Interface Thermal Conductance of Nonequilibrium Thermal Transport across Nanoscale Metal Multilayers

Li, D., Zhang, Z., Wang, Z., Li, G., Zhou, J., Zhu, J., & Tang, D. (2025) · Advanced Devices & Instrumentation · doi:10.34133/adi.0104 · Cited by 2

Interfacial thermal transport suppression by hydrogen insertion in an epitaxial Al/Si heterostructure

Chang, M., Yuan, Z., Liang, N., Fan, X. P., Wang, Y., Li, J., Deng, Y., Yan, X., Lu, M., Song, B., et al. (2025) · Applied Physics Letters · doi:10.1063/5.0253324 · Cited by 2

Characterizing particle-based thermal storage performance using optical methods for use in next generation concentrating solar power plants

Corona, J., Stout, D., Otanicar, T., & Kandadai, N. (2022) · doi:10.1117/12.2632268 · Cited by 2

Manipulation of interfacial thermal conductance via Rhodamine 6G

Zhang, C., Zhao, W., Zeng, Y., Zhou, H., Bi, K., & Chen, Y. (2015) · 中国科学通报：英文版 · doi:10.1007/s11434-015-0754-7 · Cited by 2

Materials issues in thermal modeling of thin film electrocaloric solid-state refrigerators

Suchaneck, G., Felsberg, L., & Gerlach, G. (2018) · Modern Electronic Materials · doi:10.3897/j.moem.4.2.33391 · Cited by 2

Thermal transport in molecular beam epitaxy grown Si1 − xGex alloy films with a full spectrum of composition (x = 0–1)

Wang, Y.-S., Liu, Z.-C., Ye, J.-J., Zhang, W.-W., Gu, Y., Yan, X., Lu, M., Li, D., Lü, H., & Chen, Y. (2019) · Journal of Applied Physics · doi:10.1063/1.5093978 · Cited by 2

Nanoscale Thermal Transport at Graphene-Soft Material Interfaces

Liu, Y. (2016) · VTechWorks (Virginia Tech) · Cited by 2

Measurements of Thermal Boundary Conductance between a Highly Ordered Pyrolytic Graphite and Metal Thin Films Using Time Domain Thermoreflectance Method

Oyake, T., & Shiomi, J. (2013) · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B · doi:10.1299/kikaib.79.1694 · Cited by 1

Fast-Converging and Asymptotic-Preserving Simulation of Frequency Domain Thermoreflectance

Liu, J. L. J., & Wu, L. (2023) · Communications in Computational Physics · doi:10.4208/cicp.oa-2023-0053 · Cited by 1

Thermal boundary conductance of artificially and systematically designed grain boundaries of Silicon measured by laser heterodyne photothermal displacement method

Harada, T., Kutsukake, K., Usami, N., Ikari, T., & Fukuyama, A. (2024) · Journal of Applied Physics · doi:10.1063/5.0237047 · Cited by 1

Relaxation times of non-Fourier materials using frequency-domain thermoreflectance

de la Rosa, A. C., Esquivel-Sirvent, R., & Becerril, D. (2025) · Journal of Applied Physics · doi:10.1063/5.0257299 · Cited by 1

Dual-Fractional Photo-Thermoelastic Response of Moisture-Dependent Semiconductors Under Pulsed Laser Excitation

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Direct Thermal Resistance Measurement of a Single Defect in Graphite

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