Subtopic Deep Dive
Glass Atomic Structure
Research Guide
What is Glass Atomic Structure?
Glass atomic structure studies the aperiodic arrangement of atoms in vitreous solids, particularly quasicrystals, using diffraction and microscopy to reveal medium-range order in oxide and metallic glasses.
Vitreous solids lack long-range crystalline order but exhibit quasiperiodic structures in quasicrystals. Key works include Levine and Steinhardt (1986, 702 citations) defining quasicrystals with long-range quasiperiodic translational and orientational order. Approximately 10 major papers from 1986-2018 focus on quasicrystal models and surface structures.
Why It Matters
Quasicrystal structure insights enable design of materials with unique properties like superconductivity, as shown in Kamiya et al. (2018, 166 citations) discovering superconductivity in a quasicrystal. Atomic models from Audier and Guyot (1986, 192 citations) using Penrose tiling inform metallic glass manipulation, demonstrated by Bian et al. (2016, 160 citations) altering free volumes via Xe-ion irradiation for improved mechanical properties. These relations guide advanced ceramics and alloys in mineralogy applications.
Key Research Challenges
Quasicrystal Structure Precision
Quasicrystal structures lack the precision of periodic crystals due to aperiodic order. Steurer (2004, 272 citations) notes no quasicrystal matches periodic crystal reliability after 20 years. Diffraction analysis requires novel approximations (Gierer et al., 1997, 154 citations).
Surface Atomic Imaging
Capturing fivefold symmetric quasicrystal surfaces demands high-resolution techniques. Barbier et al. (2002, 76 citations) used helium diffraction and STM for i-AlPdMn order identification. Low-energy electron diffraction faces quasiperiodic modeling issues (Gierer et al., 1997).
Medium-Range Order Modeling
Modeling network topology in glasses challenges long-range disorder. Steinhardt et al. (1998, 157 citations) verified quasi-unit-cell models experimentally. Penrose tiling adaptations needed for Al4Mn quasicrystals (Audier and Guyot, 1986).
Essential Papers
Quasicrystals. I. Definition and structure
Dov Levine, Paul J. Steinhardt · 1986 · Physical review. B, Condensed matter · 702 citations
In a recent paper, we introduced the concept of quasicrystals [Phys. Rev. Lett. 53, 2477 (1984)], a new class of ordered atomic structures. Quasicrystals have long-range quasiperiodic translational...
Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals
Walter Steurer · 2004 · Zeitschrift für Kristallographie - Crystalline Materials · 272 citations
Abstract Is quasicrystal structure analysis a never-ending story? Why is still not a single quasicrystal structure known with the same precision and reliability as structures of regular periodic cr...
Al<sub>4</sub>Mn quasicrystal atomic structure, diffraction data and Penrose tiling
M. Audier, P. Guyot · 1986 · Philosophical Magazine B · 192 citations
Abstract The modelling of the Al4Mn quasicrystal, recently proposed by Guyot and Audier (1985) on the basis of icosahedral atomic units characteristic of the crystalline phase α(AlFeSi) or α(AlMnSi...
Discovery of superconductivity in quasicrystal
Koki Kamiya, Tetsuya Takeuchi, N. Kabeya et al. · 2018 · Nature Communications · 166 citations
Manipulation of free volumes in a metallic glass through Xe-ion irradiation
Xilei Bian, G. Wang, H.C. Chen et al. · 2016 · Acta Materialia · 160 citations
Experimental verification of the quasi-unit-cell model of quasicrystal structure
Paul J. Steinhardt, Hyeong-Chai Jeong, Koh Saitoh et al. · 1998 · Nature · 157 citations
Structural Analysis of the Fivefold Symmetric Surface of the A<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">l</mml:mi></mml:mrow><mml:mrow><mml:mn>70</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>P<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">d</mml:mi></mml:mrow><mml:mrow><mml:mn>21</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>M<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">n</mml:mi></mml:mrow><mml:mrow><mml:mn>9</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Quasicrystal by Low Energy Electron Diffraction
M. Gierer, M.A. Van Hove, A. I. Goldman et al. · 1997 · Physical Review Letters · 154 citations
The atomic structure of the fivefold symmetric quasicrystal surface of A${\mathrm{l}}_{70}$P${\mathrm{d}}_{21}$M${\mathrm{n}}_{9}$ was investigated by means of a dynamical low energy electron-diffr...
Reading Guide
Foundational Papers
Start with Levine and Steinhardt (1986, 702 citations) for quasicrystal definition; Audier and Guyot (1986, 192 citations) for Penrose tiling models; Steurer (2004, 272 citations) for historical structure analysis overview.
Recent Advances
Kamiya et al. (2018, 166 citations) on superconductivity; Bian et al. (2016, 160 citations) on metallic glass free volumes; Barbier et al. (2002, 76 citations) on i-AlPdMn surfaces.
Core Methods
Diffraction (low-energy electron, helium); microscopy (STM); modeling (Penrose tiling, quasi-unit-cell); as in Gierer et al. (1997) and Steinhardt et al. (1998).
How PapersFlow Helps You Research Glass Atomic Structure
Discover & Search
Research Agent uses citationGraph on Levine and Steinhardt (1986) to map 702-citation quasicrystal foundations, then findSimilarPapers for Steurer (2004) quasicrystal reviews, and exaSearch for 'Al-Pd-Mn quasicrystal surface diffraction' to uncover Barbier et al. (2002).
Analyze & Verify
Analysis Agent applies readPaperContent to extract Penrose tiling models from Audier and Guyot (1986), runs verifyResponse (CoVe) on structure claims with GRADE grading for evidence strength, and uses runPythonAnalysis for diffraction pattern simulations via NumPy/matplotlib to verify Steinhardt et al. (1998) quasi-unit-cell data.
Synthesize & Write
Synthesis Agent detects gaps in surface structure precision between Steurer (2004) and recent works, flags contradictions in quasicrystal order claims, while Writing Agent uses latexEditText for structure diagrams, latexSyncCitations for 10 key papers, and latexCompile for manuscript export; exportMermaid visualizes Penrose tiling hierarchies.
Use Cases
"Simulate diffraction patterns for Al70Pd21Mn9 quasicrystal surface from Gierer et al."
Research Agent → searchPapers → Analysis Agent → readPaperContent + runPythonAnalysis (NumPy diffraction simulation) → matplotlib plot output with statistical verification.
"Draft LaTeX review of quasicrystal structure evolution from Levine 1986 to Kamiya 2018."
Synthesis Agent → gap detection → Writing Agent → latexEditText + latexSyncCitations (10 papers) + latexCompile → PDF with embedded citations and figures.
"Find GitHub repos modeling Penrose tiling for Al4Mn quasicrystals."
Research Agent → citationGraph (Audier 1986) → Code Discovery workflow (paperExtractUrls → paperFindGithubRepo → githubRepoInspect) → repo code snippets and simulation notebooks.
Automated Workflows
Deep Research workflow scans 50+ quasicrystal papers via searchPapers → citationGraph → structured report on structure evolution from Levine (1986) to Bian (2016). DeepScan applies 7-step analysis with CoVe checkpoints to verify surface models in Gierer et al. (1997) and Barbier et al. (2002). Theorizer generates hypotheses on free volume impacts in metallic glasses from Bian et al. (2016) literature synthesis.
Frequently Asked Questions
What defines glass atomic structure in quasicrystals?
Quasicrystals feature long-range quasiperiodic translational order and orientational order without periodicity (Levine and Steinhardt, 1986).
What methods study quasicrystal surfaces?
Low-energy electron diffraction, helium diffraction, and scanning tunneling microscopy resolve fivefold surfaces, as in Gierer et al. (1997) and Barbier et al. (2002).
What are key papers on quasicrystal structure?
Levine and Steinhardt (1986, 702 citations) defined quasicrystals; Steurer (2004, 272 citations) reviewed progress; Steinhardt et al. (1998, 157 citations) verified quasi-unit-cell models.
What open problems remain?
Achieving periodic-crystal precision in quasicrystal structures (Steurer, 2004); modeling medium-range order in metallic glasses (Bian et al., 2016).
Research Mineralogy and Gemology Studies with AI
PapersFlow provides specialized AI tools for your field researchers. Here are the most relevant for this topic:
AI Literature Review
Automate paper discovery and synthesis across 474M+ papers
Deep Research Reports
Multi-source evidence synthesis with counter-evidence
Paper Summarizer
Get structured summaries of any paper in seconds
AI Academic Writing
Write research papers with AI assistance and LaTeX support
Start Researching Glass Atomic Structure with AI
Search 474M+ papers, run AI-powered literature reviews, and write with integrated citations — all in one workspace.
Part of the Mineralogy and Gemology Studies Research Guide