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Diasemi —Diamond (111) Homoepitaxy via Hot-Filament CVD: Growth Mode, Transition-Metal Incorporation, and Twin Formation

October31, 2025

Diamond (111) Homoepitaxy via Hot-Filament CVD: Growth Mode, Transition-Metal Incorporation, and Twin Formation

Methodology

  • Substrate: HPHT Ib diamond (111), 2–4° off-axis.

  • Filament: Ta, Ø 0.25 mm × 95 mm, ≈ 3000 °C.

  • Process: 4 kPa H₂ + CH₄ (0.35–1.4 %), substrate ≈ 1000 °C.

  • Tools: AFM (surface morphology) and SIMS (Ta quantification).

  • Mesa method: atomically flat (111) mesas via NiC etching + MPCVD planarization for true homoepitaxy.


Key Observations

CH₄ conc.Growth ModeGrowth Rate (μm h⁻¹)Ta Conc. (atoms cm⁻³)Morphology
0.35 %2D island (bilayer steps ≈ 0.21 nm)0.51 × 10²⁰Smooth triangular islands + many rotational twins
0.7 %Mixed 2D→3D1.65 × 10¹⁹Larger islands (~2 nm steps)
1.4 %3D rough3.31 × 10¹⁹Particle-like surface, no twins

→ Increasing CH₄ drives 2D→3D transition, while Ta incorporation drops by one order.


Flux and Sticking Analysis

  • Product of [Ta conc × growth rate] ≈ constant → Ta incorporation flux independent of growth mode.

  • Ta sticking coefficient αTa ≈ 2 × 10⁻³, nearly constant.

  • Incorporation governed by gas-phase Ta/C ratio, not by surface morphology.

  • Effective TaC evaporation rate under HFCVD ≈ 0.19 µg cm⁻² s⁻¹ (two orders below vacuum).

 Large atomic-radius metals (Ta 146 pm vs C 77 pm) have low incorporation efficiency due to lattice-strain barriers; only ~10⁻³ of arriving atoms are trapped.


Twin Formation Mechanism

  • Twin density ≈ 2 × 10⁸ cm⁻², while Ta areal density ≈ 2 × 10¹² cm⁻².
    → Twins ≪ incorporated Ta → single Ta atoms do not directly trigger twins.

  • Twins arise mainly under 2D island growth, specific to HFCVD.

  • Proposed mechanism:
    → Local Ta atoms or Ta–vacancy complexes reduce {111} stacking-fault energy (~300 mJ m⁻²), facilitating 60° rotational twinning.
    → Energy barrier lowering is statistical, hence low twin density despite high Ta content.


Conclusions

  1. Growth mode transition (2D→3D) with increasing CH₄ mirrors MPCVD behavior.

  2. Ta incorporation decreases linearly with CH₄ due to dilution, not morphology.

  3. αTa ≈ constant ⇒ incorporation controlled by gas-phase Ta/C ratio.

  4. Twin formation is not a direct result of Ta atoms but of complex Ta-defect interactions.

  5. HFCVD can potentially yield large-area epitaxial diamond with controlled defect engineering via transition-metal interaction.