The study of low-temperature heat capacity of diamond: Calculation and experiment

Vasil’ev, O. O.; Муратов, В. Б.; Дуда, Т. И.

doi:10.3103/s106345761006002x

Cited by 14 publications

(8 citation statements)

References 11 publications

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“…4. Figure 4 also displays the curves of the temperature dependence of the specific heat of graphene (theory) [25], bundles of SWCNTs (experiment) [26], graphite (experiment) [44][45][46] and diamond (experiment) [47,48].…”

Section: Resultsmentioning

confidence: 99%

The low-temperature specific heat of MWCNTs

Sumarokov

Jeżowski

Szewczyk

et al. 2019

Low Temperature Physics

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The specific heat of multi-walled carbon nanotubes (MWCNTs) with a low defectiveness and with a low content of inorganic impurities has been measured in the temperature range from 1.8 to 275 K by the thermal relaxation method. The elemental composition and morphology of the MWCNTs were determined using scanning electron microscopy analysis and energy dispersion x-ray spectroscopy. The MWCNTs were prepared by chemical catalytic vapor deposition and have mean diameters from 7 nm up to 18 nm and lengths in some tens of microns. MWCNTs purity is over 99.4 at.%. The mass of the samples ranged from 2-4 mg. It was found that the temperature dependence of the specific heat of the MWCNTs differs significantly from other carbon materials (graphene, bundles of SWCNTs, graphite, diamond) at low temperatures. The specific heat of MWCNTs systematically decreases with increasing diameter of the tubes at low temperatures. The character of the temperature dependence of the specific heat of the MWCNTs with different diameters demonstrates the manifestation of different dimensions from 1D to 3D, depending on the temperature regions. The crossover temperatures are about 6 and 40 K. In the vicinity of these temperatures, a hysteresis is observed.

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Section: Resultsmentioning

confidence: 99%

The low-temperature specific heat of MWCNTs

Sumarokov

Jeżowski

Szewczyk

et al. 2019

Low Temperature Physics

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“…The recent calculated results of the specific heat of cubic BN by the Monte Carlo method [37] showed good agreement with the specific heat of diamond [4,5,6,10] in the range of 100-600K (see Fig. 2).…”

Section: Figmentioning

confidence: 53%

“…1). All cited results of the heat capacity of silicon in solid state was described by equation ( 4) with precision =0.08 J/(mol-at) -1 K -1 in the range of temperature 5 -2000 K. Below 50 K the heat capacity of silicon is described well by polynomial equation Cp = x1T 3 + x2T 5 + x3T 6 with error  = 0.01 J/(mol-at) -1 K -1 (See Table 7).…”

Section: Silicon and Alpmentioning

confidence: 99%

The Description of Heat Capacity by the Debye – Mayer – Kelly Hybrid Model<strong> </strong>

Vasiliev¹,

Taldrik²

2020

Preprint

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The universal Debye – Mayer – Kelly hybrid model was proposed for the description of the heat capacity from 0 K to the melting points of substance within the experimental uncertainty for the first time. To describe the heat capacity, the in-house software on the base of commercial one DELPHI-7 was used with a 95% confidence level. To demonstrate the perfect suitability of this model, a thermodynamic analysis of the heat capacities of the fourth group elements, and some compounds of the AIIIBV and AIIBVI phases was carried out. It produced good agreement within the experimental uncertainty. There is no a similar model description in literature.The Similarity Method is a convenient and effective tool for critical analysis of the heat capacities of isostructural phases, which was used as an example for diamond-like compounds. Phases with the same sum of the atomic numbers of elements (Z), such as diamond and B0.5 N0.5 (cub) (Z = 6); pure silicon (Si) and Al0.5 P0.5 (Z=14); pure germanium (Ge) and Ga0.5 As0.5 (Z = 32)); pure grey tin (alpha-Sn) and In0.5 Sb0.5, and Cd0.5 Te0.5 (Z = 50) have the same heat capacity experimental values in the solid state. The proposed models can be used to both different binary and multicomponent phases. It helps to standardize the physicochemical constants.

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“…Step 1 was not accurately known, most notably due to the absence of heat capacity data for diamond for T <11 K [6–12] . Diamond has exceptionally low specific heat due to its stiff lattice and consequently high Debye temperature, making its heat capacity very small relative to the traditional heater‐thermometer assembly of a calorimeter.…”

Section: Figurementioning

confidence: 99%

“…Step 1 was not accurately known, most notably due to the absence of heat capacity data for diamond for T < 11 K. [6][7][8][9][10][11][12] Diamond has exceptionally low specific heat due to its stiff lattice and consequently high Debye temperature, making its heat capacity very small relative to the traditional heaterthermometer assembly of a calorimeter. However, miniaturization of thermometers now allows accurate determination of heat capacity of diamond down to 2 K (see Supplementary Information [SI] for experimental details and results).…”

mentioning

confidence: 99%

The Relative Thermodynamic Stability of Diamond and Graphite

et al. 2020

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Recent density-functional theory (DFT) calculations raised the possibility that diamond could be degenerate with graphite at very low temperatures. Through high-accuracy calorimetric experiments closing gaps in available data, we reinvestigate the relative thermodynamic stability of diamond and graphite. For T < 400 K, graphite is always more stable than diamond at ambient pressure. At low temperatures, the stability is enthalpically driven, and entropy terms add to the stability at higher temperatures. We also carried out DFT calculations: B86bPBE-25X-XDM//B86bPBE-XDM and PBE0-XDM//PBE-XDM results overlap with the experimental ÀTDS results and bracket the experimental values of DH and DG, displaced by only about 2 the experimental uncertainty. Revised values of the standard thermodynamic functions for diamond are D f H o = À2150 AE 150 J mol À1 , D f S o = 3.44 AE 0.03 J K À1 mol À1 and D f G o = À3170 AE 150 J mol À1 .

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The study of low-temperature heat capacity of diamond: Calculation and experiment

Cited by 14 publications

References 11 publications

The low-temperature specific heat of MWCNTs

The low-temperature specific heat of MWCNTs

The Description of Heat Capacity by the Debye – Mayer – Kelly Hybrid Model<strong> </strong>

The Relative Thermodynamic Stability of Diamond and Graphite

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