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Thermal conductivity of H2O‐CH3OH mixtures at high pressures - Implications for the dynamics of icy super‐Earths outer shells

MetadataDetails
Publication Date2015-09-30
JournalJournal of Geophysical Research Planets
AuthorsWen‐Pin Hsieh, Frédéric Deschamps
InstitutionsInstitute of Earth Sciences, Academia Sinica
Citations6
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Technical Analysis and Documentation: High-Pressure Thermophysical Measurements using MPCVD Diamond

Section titled “Technical Analysis and Documentation: High-Pressure Thermophysical Measurements using MPCVD Diamond”

This research utilizes advanced high-pressure techniques to determine the thermal conductivity ($k$) and sound velocity ($v_{l}$) of H${2}$O-CH${3}$OH mixtures, critical data for modeling the thermal evolution of icy super-Earths. The findings underscore the necessity of ultra-high-quality diamond material for extreme environment research.

  • Core Achievement: Measurement of thermal conductivity and sound velocity of H${2}$O-CH${3}$OH mixtures up to 12 GPa using a Diamond Anvil Cell (DAC) coupled with Time Domain Thermoreflectance (TDTR) and Stimulated Brillouin Scattering (SBS).
  • Critical Finding: The presence of 5-20 wt% methanol (CH${3}$OH) substantially reduces the thermal conductivity of high-pressure ice VII phases by a factor of 2 to 5 compared to pure H${2}$O.
  • Planetary Implication: This reduction in thermal conductivity induces a twofold decrease in the power transported by convection within icy super-Earth mantles, significantly influencing planetary thermal history.
  • Methodology: The experiment relies on precise thermal measurements using an 80 nm Aluminum (Al) film deposited on a muscovite mica substrate within the DAC, requiring exceptional optical access and mechanical stability provided by the diamond anvils.
  • 6CCVD Relevance: Replicating or extending this high-fidelity research requires high-purity, low-defect Single Crystal Diamond (SCD) for DAC windows, which 6CCVD supplies with custom dimensions and integrated metalization capabilities.

Data extracted from the research paper detailing the experimental parameters and key results.

ParameterValueUnitContext
Maximum Pressure Achieved12GPaH${2}$O-CH${3}$OH mixtures (Ice VII phase)
Thermal Conductivity (Pure H$_{2}$O, avg)5.0W m-1 K-1Average value in 2-12 GPa range
Thermal Conductivity (H${2}$O-10 wt% CH${3}$OH, avg)2.0W m-1 K-1Average value in 2-12 GPa range
Thermal Conductivity Reduction Factor2 to 5N/ADue to 5-20 wt% CH$_{3}$OH in Ice VII phase
Convective Power Transport ReductionFactor of 2N/ADue to 10 wt% CH$_{3}$OH presence
Sound Velocity Reduction Factor1.4N/ADue to CH$_{3}$OH presence
TDTR Modulation Frequency8.7MHzPump beam modulation
Al Film Thickness (Transducer)80nmCoated on muscovite mica substrate
Muscovite Mica Thickness20µmReference substrate/thermal insulator
DAC Diamond Culet Size500µmSample chamber size
Pressure Measurement Uncertainty±0.1GPaDetermined by ruby fluorescence

The experiment combined high-pressure generation via DAC with advanced optical thermophysical measurement techniques.

  1. High-Pressure Generation: A symmetric Diamond Anvil Cell (DAC) with 500 µm culets was used to compress H${2}$O-CH${3}$OH mixtures up to 12 GPa at room temperature.
  2. Transducer Preparation: A 20 µm thick muscovite mica substrate was coated with an 80 nm thick Aluminum (Al) film, which serves as the thermal transducer for laser energy absorption.
  3. Pressure Monitoring: Pressure was accurately determined in situ using the fluorescence spectrum of a ruby ball loaded within the DAC.
  4. Thermal Conductivity Measurement (TDTR): Time Domain Thermoreflectance was employed. A pump beam, electrooptically modulated at 8.7 MHz, heated the Al film, while a time-delayed probe beam monitored the resulting temperature variations via changes in optical reflectivity.
  5. Sound Velocity Measurement (SBS): Time domain stimulated Brillouin scattering was used to measure the Brillouin frequency ($f_{B}$), which is directly related to the longitudinal sound velocity ($v_{l}$) and elastic constants of the high-pressure ice phases.
  6. Thermal Modeling: Thermal conductivity was derived by comparing the measured ratio of the in-phase and out-of-phase signals (-V${in}$/V${out}$) to calculations based on a thermal model accounting for bidirectional heat flow.

6CCVD provides the specialized MPCVD diamond materials and precision engineering services necessary to enable and advance high-pressure thermophysical research, such as the TDTR/SBS measurements conducted in this study.

The foundation of high-pressure TDTR/SBS experiments is the quality of the diamond anvil. These applications demand materials with exceptional optical transparency, low defect density, and high mechanical strength.

Research Requirement6CCVD Material SolutionKey Benefit
High-Pressure AnvilsOptical Grade Single Crystal Diamond (SCD)Ultra-low defect density ensures maximum mechanical integrity up to 12 GPa and beyond.
Optical AccessSCD Polished to Ra < 1 nmMinimizes laser scattering and absorption, crucial for high-fidelity TDTR and SBS measurements.
Thermal ManagementHigh Purity SCD (Type IIa)Excellent thermal properties and minimal background absorption for precise thermal modeling.

The paper highlights the use of an 80 nm Al film transducer and a 500 µm culet size. 6CCVD offers integrated services to meet these exact specifications, streamlining the experimental setup for researchers.

  • Custom Metalization Services: 6CCVD offers internal, high-precision deposition of thin-film metal stacks directly onto the diamond surface.
    • We can replicate the required 80 nm Al film or provide alternative transducer layers (e.g., Ti/Pt/Au, W) with nanometer-scale thickness control, optimizing thermal coupling and reflectivity for TDTR/SBS.
  • Precision Diamond Fabrication: While the paper used 500 µm culets, 6CCVD provides custom dimensions for SCD plates and wafers up to 500 µm thick, and PCD plates up to 125 mm in diameter.
    • We offer custom laser cutting and shaping to meet specific DAC geometry requirements, ensuring perfect fit and alignment for high-pressure systems.
  • Advanced Polishing: For the optical measurements required by TDTR and SBS, surface quality is paramount.
    • 6CCVD guarantees SCD polishing to Ra < 1 nm, ensuring the highest quality optical interface for pump and probe beams.

The modeling of heat transfer in icy super-Earths requires precise material parameters, often involving complex pressure- and temperature-dependent properties.

  • Expert Consultation: 6CCVD’s in-house PhD team specializes in high-pressure physics and thermal management. We can assist researchers in selecting the optimal diamond material grade and designing custom metalization stacks for similar High-Pressure Thermophysical Measurement projects (e.g., measuring $k$ of H$_{2}$O-volatile mixtures at temperatures up to 1000 K, as suggested for future work).
  • Global Logistics: We offer reliable global shipping (DDU default, DDP available) to ensure your critical SCD components arrive safely and promptly, regardless of your research location.

For custom specifications or material consultation, visit 6ccvd.com or contact our engineering team directly.

View Original Abstract

Abstract Thermal conductivity of H 2 O‐volatile mixtures at extreme pressure‐temperature conditions is a key factor to determine the heat flux and profile of the interior temperature in icy bodies. We use time domain thermoreflectance and stimulated Brillouin scattering combined with diamond anvil cells to study the thermal conductivity and sound velocity of water (H 2 O)‐methanol (CH 3 OH) mixtures to pressures as high as 12 GPa. Compared to pure H 2 O, the presence of 5-20 wt % CH 3 OH significantly reduces the thermal conductivity and sound velocity when the mixture becomes ice VI‐CH 3 OH and ice VII‐CH 3 OH phases at high pressures, indicating that the heat transfer is hindered within the icy body. We then apply these results to model the heat transfer through the icy mantles of super‐Earths, assuming that these mantles are animated by thermal convection. Our calculations indicate that the decrease of thermal conductivity due to the presence of 10 wt % CH 3 OH induces a twofold decrease of the power transported by convection.