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A DFT investigation of the electronic, optical, and thermoelectric properties of pentadiamond

MetadataDetails
Publication Date2020-11-21
JournalChemical Physics Letters
AuthorsRaphael M. Tromer, Levi C. Felix, Cristiano F. Woellner, Douglas S. GalvĂŁo
InstitutionsUniversidade Federal do ParanĂĄ, Universidade Estadual de Campinas (UNICAMP)
Citations45
AnalysisFull AI Review Included
  • Material Focus: Pentadiamond, a novel 3D carbon allotrope characterized by mixed sp2 and sp3-like hybridization.
  • Electronic Properties: It is an indirect bandgap semiconductor. The calculated bandgap is 3.31 eV (using the high-accuracy HSE06 functional), positioning it as a wide-bandgap material.
  • Optical Activity: Pentadiamond exhibits strong optical activity exclusively in the Ultra-Violet (UV) range, remaining transparent in the infrared and visible spectrums.
  • Reflectivity Advantage: It demonstrates remarkably low reflectivity, peaking at approximately 40% at 17 eV across the optical spectrum. This is significantly lower than diamond (70%) and 8-tetra(2,2) (60%) in the high-energy UV region.
  • Key Application: Due to its low reflectivity and strong UV absorption, pentadiamond is proposed as a highly efficient material for use as a UV collector or detector, particularly effective for photon energies up to 15 eV.
  • Static Constants: The material possesses a static dielectric constant of 4.70 and a static refractive index of 2.16.
ParameterValueUnitContext
Bandgap (Indirect)3.31eVHSE06 functional corrected value.
Bandgap (GGA-PBE)2.50eVCalculated using GGA-PBE functional.
Static Dielectric Constant (Δ1(0))4.70DimensionlessPentadiamond (compared to Diamond: 5.40).
Static Refractive Index (η(0))2.16DimensionlessPentadiamond (compared to Diamond: 2.33).
Average C-C Bond Length1.51AOptimized pentadiamond structure.
Density2.20g/cm3Optimized structure (Diamond: 3.54 g/cm3).
Atoms per Unit Cell22AtomsPentadiamond primitive supercell.
Crystal StructureFCC (Fm3m, 225)N/AFully isotropic structure.
Maximum Absorption Intensity2.3 x 106cm-1Occurs in the UV range (14.0 eV and 16.8 eV).
Maximum Reflectivity (R)~40%%Occurs at 17 eV (low reflectivity across spectrum).
UV Collector RangeUp to 15eVRange where low reflectivity makes it superior to diamond.
  1. First-Principles Calculation: All calculations were performed using Density Functional Theory (DFT) methods, primarily utilizing the SIESTA software package.
  2. Functional Selection: The Generalized Gradient Approximation (GGA) with the Perdew-Burke-Ernzerhof (PBE) functional was used for the exchange-correlation part.
  3. Structural Optimization: Geometrical optimizations for pentadiamond, diamond, and 8-tetra(2,2) were carried out using the conjugate gradient method, allowing full relaxation of both atomic positions and lattice vectors.
    • Convergence Criteria: Forces on each atom were required to be smaller than 0.005 eV/A.
  4. Bandgap Correction (HSE06): To overcome the known underestimation of bandgaps by GGA-PBE, a more robust bandgap value was obtained using the HSE06 functional via the Gaussian16 software package (with cc-pVTZ basis set).
  5. Scissor Operator Application: The corrected bandgap value (EgapHSE06) was used to define a scissor operator (Equation 7) within SIESTA. This operator shifts the unoccupied states, ensuring the optical calculations maintain the accuracy equivalent to the HSE06 functional.
  6. Optical Analysis: Optical quantities (complex dielectric function, absorption coefficient, reflectivity, refractive index) were calculated in the linear regime. The external electrical field was polarized as an average across the x, y, and z spatial directions.
  7. Brillouin Zone Sampling: A mesh cutoff energy of 300 Ry and a 10 x 10 x 10 k-point set (Monkhorst-Pack scheme) were used for sampling.

The unique electronic structure (wide bandgap) and optical properties (low reflectivity, strong UV absorption) of pentadiamond suggest applications in advanced optoelectronics and sensing:

  • UV Photodetectors and Sensors: The strong, selective absorption in the UV range (starting near 3.5 eV) makes pentadiamond an ideal active material for high-sensitivity, solar-blind UV detectors.
  • High-Efficiency UV Collectors/Harvesters: Its exceptionally low reflectivity (less than 40% up to 17 eV) minimizes light loss, enabling the design of highly efficient UV energy harvesting devices or protective coatings.
  • Wide-Bandgap Semiconductor Devices: The 3.31 eV bandgap places it in the class of materials suitable for high-power, high-frequency, and high-temperature electronic components, potentially competing with materials like SiC or GaN.
  • Protective/Optical Coatings: Given its transparency in the visible and infrared spectrums, pentadiamond could be used as a transparent coating that selectively absorbs or filters high-energy UV radiation.
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