Thermal conductivity of natural diamond between 320 and 450 K

Burgemeister, E.A.

doi:10.1016/0378-4363(78)90123-7

Cited by 51 publications

(19 citation statements)

References 30 publications

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“…The inverse transformation is then used to get the real temperature from θ. At high temperature in diamond, the heat transfers are known to be limited by phonon-phonon interactions and the thermal conductivity is assumed to vary as λ(T) = kT α with α being close to − 1 cite [25,26]. T being the local temperature expressed in Kelvins.…”

Section: Temperature Dependence Of the Thermal Conductivitymentioning

confidence: 99%

“…In this model, we are only interested in single crystal diamond windows in which conductivity may slightly depend on chemical impurities and structural defect content but is around 2000 W·m −1 ·K −1 at room temperature [27,28]. The experimental data at higher temperature have been extracted from experiments on IIa single crystal diamonds at different temperatures [29,26,30]. They represent an ideal model for the thermal conductivity of diamond windows between 300 K and 1200 K. Table 2 shows different values of the fitting parameters for tungsten, beryllium and diamond IIa single crystal.…”

Section: Temperature Dependence Of the Thermal Conductivitymentioning

confidence: 99%

See 1 more Smart Citation

Nanofocus diamond X-ray windows: Thermal modeling of nano-sized heat source systems

Delfaure

Mazellier

Tranchant

et al. 2015

Diamond and Related Materials

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a b s t r a c tAn analytical thermal model is proposed to study heat transfers occurring at high power density in X-ray tubes with micron to submicron sized source. The use of a simple analytical approach instead of a complex numerical simulation allows readily modeling of more and more challenging systems such as multi-source X-ray tubes. By significantly reducing the computing time, it enables a wider parameter range evaluation for engineering phase. We focused our work on tubes integrating a transmission window that is mainly edge-cooled. Our approach can be generally used in cylindrical lateral heat spreaders with distributed small sized source systems. The model enables an efficient estimation of temperature distributions for a large range of parameters and source designs and is, for instance, wellsuited to described nanosized heat source systems. It is developed from an electrostatic analogy with the point charge particle model and uses of a series of virtual sources. A multiscale resolution of the heat equation is proposed, hence providing the temperature distribution at any point within the whole system. Moreover, the non-linearity of equations caused by temperature-dependent thermal conductivities is solved by using Kirchhoff's transformation, giving a more realistic approach of heat conduction in diamond X-ray windows, where temperature in excess of 1000°C can be encountered. The influence of convective and radiative transfers has been discussed and the physical accuracy of the predicted temperature is controlled by adjusting the number of virtual sources of the model.

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Section: Temperature Dependence Of the Thermal Conductivitymentioning

confidence: 99%

Section: Temperature Dependence Of the Thermal Conductivitymentioning

confidence: 99%

Nanofocus diamond X-ray windows: Thermal modeling of nano-sized heat source systems

Delfaure

Mazellier

Tranchant

et al. 2015

Diamond and Related Materials

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“…In general terms, high quality, 'pure' (type IIa) natural diamonds have their maximum thermal conductivity of -72]. Above 100 K, in high quality natural samples, κ decreases approximately inversely with T , to ∼600 W m −1 K −1 at ∼1000 K [70][71][72]. Diamonds are likely to contain atomic-sized defects and impurities, which act as scattering centres.…”

Section: Thermal Conductivitymentioning

confidence: 99%

Basic Properties of Diamond: Phonon Spectra, Thermal Properties, Band Structure

Davies

2009

CVD Diamond for Electronic Devices and Sensors

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“…1. The temperature-dependent thermal conductivity of diamond IIa is given as , where W cm K and 1.26 [9]. For pure copper, the temperature dependence of thermal conductivity is modeled as where 0.00069 Wcm K and 4.21429 Wcm K [1], [2].…”

Section: The Examplementioning

confidence: 99%

On the effect of nonlinear boundary conditions for heat conduction in diamond heat spreaders with temperature-dependent thermal conductivity

Peng

Tan

1997

IEEE Trans. Comp., Packag., Manufact. Technol. A

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For steady-state heat conduction in diamond heat spreaders with temperature-dependent thermal conductivity, we examine the valid range of the commonly used approximate solution against a rigorous solution which we have recently formulated. The basic difference between our work and the approximate solution lies in the boundary condition (bc) of the transformed temperature over the spreader-sink interface-we use a nonlinear bc whereas the bc in the approximate solution has been assumed to be linear. We point out that the valid range of the approximate solution is determined by the temperature difference above the ambient over the interface. The discrepancy between the two solutions becomes severe (>10%) for devices of radius around 50 m involving high power dissipation (>20 W).Index Terms-Diamond heat spreader, microwave diode package, temperature-dependent thermal conductivity.

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Thermal conductivity of natural diamond between 320 and 450 K

Cited by 51 publications

References 30 publications

Nanofocus diamond X-ray windows: Thermal modeling of nano-sized heat source systems

Nanofocus diamond X-ray windows: Thermal modeling of nano-sized heat source systems

Basic Properties of Diamond: Phonon Spectra, Thermal Properties, Band Structure

On the effect of nonlinear boundary conditions for heat conduction in diamond heat spreaders with temperature-dependent thermal conductivity

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