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Computer Simulation of Multilayer Nanoparticles of Elementary Semiconductors

MetadataDetails
Publication Date2024-04-05
JournalIzvestiya of Altai State University
AuthorsYulia V. Terentyeva, S. А. Beznosyuk
AnalysisFull AI Review Included

Technical Documentation and Analysis: Multilayer Nanoparticle Simulation

Section titled “Technical Documentation and Analysis: Multilayer Nanoparticle Simulation”

This documentation analyzes the research paper, “Computer Simulation of Multilayer Nanoparticles of Elementary Semiconductors,” focusing on extracting key technical data and aligning the findings with the advanced material capabilities offered by 6CCVD.


The research utilizes computational modeling (Non-Local Density Functional and Molecular Mechanics) to investigate the structural stability and energy parameters of multilayer silicon (Si) and germanium (Ge) nanoparticles (Nano-Electro-Mechanical Systems, NEMS) with diamond-like crystal structures.

  • Core Achievement: Construction and analysis of 16 distinct Si/Ge nanoparticle models (3x3x3 and 5x5x5 elementary cells) with varying compositions and alternating layers.
  • Methodology: Equilibrium parameters (bond energy, length, zero-point frequency) were determined using NLDF, and thermodynamic stability was assessed via Molecular Mechanics relaxation.
  • Stability Findings: Pure Si systems demonstrated superior energetic stability compared to pure Ge systems.
  • Interfacial Effects: The formation of Si-Ge bonds was found to stabilize Ge-based particles while simultaneously destabilizing Si-based particles.
  • Structural Deviation: Analysis showed only slight changes in interatomic distance in the NEMS state compared to the bulk diamond structure, confirming the structural relevance to diamond-based platforms.
  • Application Relevance: The data is foundational for engineering advanced nanolayered semiconductor devices, requiring high-stability, diamond-lattice substrates.

The following hard data points were extracted from the simulation results, focusing on the fundamental parameters of the diamond-like semiconductor structures.

ParameterValueUnitContext
Si Bulk Lattice Constant ($a$)0.54307nmInput parameter for model construction
Ge Bulk Lattice Constant ($a$)0.5660nmInput parameter for model construction
Si-Si Equilibrium Bond Energy ($U$)2.6315kJ/molCalculated Dimer Parameter (NLDF)
Ge-Ge Equilibrium Bond Energy ($U$)2.1489kJ/molCalculated Dimer Parameter (NLDF)
Si-Ge Equilibrium Bond Energy ($U$)2.8194kJ/molCalculated Dimer Parameter (NLDF)
Si-Si Equilibrium Bond Length ($R$)4.3ÅCalculated Dimer Parameter (NLDF)
Ge-Ge Equilibrium Bond Length ($R$)5.1ÅCalculated Dimer Parameter (NLDF)
Si-Ge Equilibrium Bond Length ($R$)4.7ÅCalculated Dimer Parameter (NLDF)
Si-Si Zero-Point Frequency ($\omega$)536cm-1Calculated Dimer Parameter (NLDF)
Ge-Ge Zero-Point Frequency ($\omega$)235cm-1Calculated Dimer Parameter (NLDF)
Si-Ge Zero-Point Frequency ($\omega$)426cm-1Calculated Dimer Parameter (NLDF)
Most Stable Nanoparticle Energy (Model 9)-435.30kJ/molSi5x5x5 shell, Ge1x1x1 core

The stability and structural properties of the multilayer nanoparticles were investigated using advanced computational techniques:

  1. Model Construction: 16 distinct nanoparticle models were built based on the diamond-like crystal structure, utilizing Si and Ge lattice constants ($a$). Models varied in size (3x3x3 and 5x5x5 elementary cells) and composition (pure, core-shell, and alternating nanolayers).
  2. Equilibrium Parameter Calculation: The Non-Local Density Functional (NLDF) method was employed to obtain precise equilibrium parameters for intra-crystalline bonds (Si-Si, Ge-Ge, Si-Ge dimers).
  3. Thermodynamic Stability Analysis: Molecular Mechanics (MM) methods were used to study the dependence of nanoparticle energy on size, composition, and the sequence of Si and Ge alternating layers.
  4. Relaxation Simulation: Computer modeling of the relaxation processes yielded the final, stable energy values for the nanolayers (Table 2).
  5. Structural Characterization: Radial Distribution Functions (RDF) were analyzed to quantify the deviation of atomic positions in the NEMS state compared to the ideal bulk diamond lattice.

The research demonstrates the fundamental physics governing stability in diamond-like nanolayered semiconductors (Si/Ge) destined for NEMS and advanced electronics. To transition these computational models into functional devices, researchers require substrates with exceptional lattice quality, thermal management, and surface finish—capabilities where 6CCVD’s MPCVD diamond excels.

The stability analysis of diamond-like structures directly informs the requirements for high-performance substrates. 6CCVD offers materials that provide the necessary foundation for replicating or extending this research, particularly for applications requiring extreme thermal or mechanical stability.

MaterialDescriptionApplication Relevance
Electronic Grade Single Crystal Diamond (SCD)High-purity, low-defect SCD plates (0.1”m to 500”m thickness).Ideal substrate for heterogeneous integration and epitaxial growth of Si/Ge nanolayers, providing unmatched thermal conductivity and lattice stability for NEMS.
Polycrystalline Diamond (PCD) WafersLarge-area wafers (up to 125mm) with controlled grain size and ultra-low roughness (Ra < 5nm).Essential for scaling up NEMS fabrication and providing robust, large-area mechanical platforms for layered semiconductor integration.
Boron-Doped Diamond (BDD)Highly conductive diamond films (SCD or PCD).Used for creating active components, electrodes, or conductive layers within the NEMS structure, leveraging diamond’s superior electrical properties.

The precise control required for nanolayered structures, as modeled in this paper, demands highly customized substrates and processing. 6CCVD offers comprehensive services to meet these stringent requirements:

  • Ultra-Low Roughness Polishing: We guarantee surface roughness of Ra < 1nm on SCD and Ra < 5nm on inch-size PCD wafers. This atomically flat surface is critical for minimizing interfacial energy and defect formation during Si/Ge nanolayer deposition.
  • Custom Dimensions and Thickness:
    • Plates/wafers available up to 125mm (PCD).
    • Thickness control from 0.1”m to 500”m (SCD/PCD).
    • Substrates available up to 10mm for robust mechanical support.
  • Advanced Metalization Services: 6CCVD offers in-house deposition of critical metal contacts (Au, Pt, Pd, Ti, W, Cu). This is vital for integrating the modeled Si/Ge NEMS structures into functional electronic or mechanical devices.
  • Global Logistics: We provide reliable global shipping (DDU default, DDP available) to ensure timely delivery of custom materials worldwide.

The computational findings regarding thermodynamic stability (Si > Ge) and the effect of Si-Ge bonds are crucial for materials selection in Heterogeneous Integration of Diamond-Like Semiconductors and Nano-Electro-Mechanical Systems (NEMS).

  • 6CCVD’s in-house PhD team provides expert consultation to assist engineers in selecting the optimal diamond grade and orientation to maximize the stability and performance of layered structures built upon diamond platforms.

For custom specifications or material consultation, visit 6ccvd.com or contact our engineering team directly.

View Original Abstract

The paper presents the results of computer simulations of diamond-like silicon and germanium nanoparticles, as well as layered semiconductors of various nuclearities with alternating layers. In the work, 16 models of nanoparticles with the sizes of 3-3-3 elementary cells (Д.с.) and 5-5-5 e.c. with different alternations of Si and Ge layers have been constructed. The equilibrium parameters of bonded atom pairs in the crystal structure of the studied NEMS with different morphological structures are obtained using the non-local density functional method. The dependence of the energy of the studied nanoparticles on the size, composition, and the sequence of Si and Ge alternating layers is studied by the methods of molecular mechanics. It is revealed that there are slight changes in the interatomic distance in semiconductor systems with a diamond-like structure and in the NEMS state. Systems with only Si atoms turned out to be energetically more stable than systems with only Ge atoms. The introduction of Ge atoms into Si-based systems reduces the thermodynamic stability of the particle, while it is vice versa for the Si atoms introduced into Ge-based systems. It is concluded that the appearance of the Si-Ge bonds in a nanoparticle stabilizes germanium particles and destabilizes silicon particles.