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 Mode | Growth Rate (μm h⁻¹) | Ta Conc. (atoms cm⁻³) | Morphology | 
|---|---|---|---|---|
| 0.35 % | 2D island (bilayer steps ≈ 0.21 nm) | 0.5 | 1 × 10²⁰ | Smooth triangular islands + many rotational twins | 
| 0.7 % | Mixed 2D→3D | 1.6 | 5 × 10¹⁹ | Larger islands (~2 nm steps) | 
| 1.4 % | 3D rough | 3.3 | 1 × 10¹⁹ | Particle-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
- Growth mode transition (2D→3D) with increasing CH₄ mirrors MPCVD behavior. 
- Ta incorporation decreases linearly with CH₄ due to dilution, not morphology. 
- αTa ≈ constant ⇒ incorporation controlled by gas-phase Ta/C ratio. 
- Twin formation is not a direct result of Ta atoms but of complex Ta-defect interactions. 
- HFCVD can potentially yield large-area epitaxial diamond with controlled defect engineering via transition-metal interaction. 
 
 