Prof. Dr. Michael Engel
Prof. Dr. Michael Engel
Publications
2022
Quinary, Senary, and Septenary High Entropy Alloy Nanoparticle Catalysts from Core@Shell Nanoparticles and the Significance of Intraparticle Heterogeneity
In: ACS nano (2022)
ISSN: 1936-0851
DOI: 10.1021/acsnano.2c07787
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Efficient solution of particle shape functions for the analysis of powder total scattering data
In: Journal of Applied Crystallography 55 (2022), p. 329-339
ISSN: 0021-8898
DOI: 10.1107/S1600576722001261
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Coloration in Supraparticles Assembled from Polyhedral Metal-Organic Framework Particles
In: Angewandte Chemie International Edition (2022)
ISSN: 1433-7851
DOI: 10.1002/anie.202117455
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2021
Moving beyond the constraints of chemistry via crystal structure discovery with isotropic multiwell pair potentials
In: Proceedings of the National Academy of Sciences of the United States of America 118 (2021), Article No.: e2024034118
ISSN: 0027-8424
DOI: 10.1073/pnas.2024034118
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Entropic formation of a thermodynamically stable colloidal quasicrystal with negligible phason strain
In: Proceedings of the National Academy of Sciences of the United States of America 118 (2021), Article No.: e2011799118
ISSN: 0027-8424
DOI: 10.1073/pnas.2011799118
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Newtonian Event-Chain Monte Carlo and Collision Prediction with Polyhedral Particles
In: Journal of Chemical Theory and Computation (2021)
ISSN: 1549-9618
DOI: 10.1021/acs.jctc.1c00311
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Thermal disorder and mechanical anisotropy in nanocrystals
In: ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, CHESTER: 2021
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Macromolecular Ligand Engineering for Programmable Nanoprism Assembly
In: Journal of the American Chemical Society (2021)
ISSN: 1520-5126
DOI: 10.1021/jacs.1c07281
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Surfactants and rotelles in active chiral fluids
In: Science Advances 7 (2021)
ISSN: 2375-2548
DOI: 10.1126/sciadv.abf8998
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2020
Spontaneous Crystallization in Systems of Binary Hard Sphere Colloids
In: Physical Review Letters 124 (2020), Article No.: 218003
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.124.218003
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Imaging the kinetics of anisotropic dissolution of bimetallic core–shell nanocubes using graphene liquid cells
In: Nature Communications 11 (2020), Article No.: 3041
ISSN: 2041-1723
DOI: 10.1038/s41467-020-16645-3
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Effect of lattice mismatch and shell thickness on strain in core@shell nanocrystals
In: Nanoscale Advances (2020)
ISSN: 2516-0230
DOI: 10.1039/D0NA00061B
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Functional materials and devices by self-Assembly
In: Mrs Bulletin 45 (2020), p. 799-806
ISSN: 0883-7694
DOI: 10.1557/mrs.2020.252
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2019
Complex Crystals from Size-Disperse Spheres
In: Physical Review Letters 122 (2019)
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.122.128005
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Achieving Highly Durable Random Alloy Nanocatalysts through Intermetallic Cores
In: ACS nano 13 (2019), p. 4008-4017
ISSN: 1936-0851
DOI: 10.1021/acsnano.8b08007
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Efficient equilibration of hard spheres with Newtonian event chains
In: Journal of Chemical Physics 150 (2019), Article No.: 174108
ISSN: 0021-9606
DOI: 10.1063/1.5090882
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Entropic colloidal crystallization pathways via fluid–fluid transitions and multidimensional prenucleation motifs
In: Proceedings of the National Academy of Sciences of the United States of America 116 (2019), p. 14843-14851
ISSN: 0027-8424
DOI: 10.1073/pnas.1905929116
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Symmetries in hard polygon systems determine plastic colloidal crystal mesophases in two dimensions
In: Soft Matter 15 (2019), p. 2571-2579
ISSN: 1744-683X
DOI: 10.1039/c9sm00016j
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Free Energy Landscape of Colloidal Clusters in Spherical Confinement
In: Acs Nano (2019)
ISSN: 1936-0851
DOI: 10.1021/acsnano.9b03039
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Structural Color of Colloidal Clusters as a Tool to Investigate Structure and Dynamics
In: Advanced Functional Materials (2019), Article No.: 1907730
ISSN: 1616-301X
DOI: 10.1002/adfm.201907730
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2018
Intermediate crystalline structures of colloids in shape space
In: Soft Matter 14 (2018), p. 8692-8697
ISSN: 1744-683X
DOI: 10.1039/c8sm01573b
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Particle Shape Control via Etching of Core@Shell Nanocrystals
In: ACS nano 12 (2018), p. 9186-9195
ISSN: 1936-0851
DOI: 10.1021/acsnano.8b03759
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Erratum: Publisher Correction: Rotating robots move collectively and self-organize (Nature communications (2018) 9 1 (931))
In: Nature Communications 9 (2018), p. 1497-
ISSN: 2041-1723
DOI: 10.1038/s41467-018-03873-x
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Rotating robots move collectively and self-organize.
In: Nature Communications 9 (2018), p. 931
ISSN: 2041-1723
DOI: 10.1038/s41467-018-03154-7
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Magic number colloidal clusters as minimum free energy structures
In: Nature Communications 9 (2018), Article No.: 5259
ISSN: 2041-1723
DOI: 10.1038/s41467-018-07600-4
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Unusual multiscale mechanics of biomimetic nanoparticle hydrogels
In: Nature Communications 9 (2018), Article No.: 181
ISSN: 2041-1723
DOI: 10.1038/s41467-017-02579-w
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2017
Shape and Symmetry Determine Two-Dimensional Melting Transitions of Hard Regular Polygons
In: Physical Review X 7 (2017), Article No.: 021001
ISSN: 2160-3308
DOI: 10.1103/PhysRevX.7.021001
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Non-close-packed three-dimensional quasicrystals
In: Journal of Physics: Condensed Matter 29 (2017), Article No.: 234005
ISSN: 0953-8984
DOI: 10.1088/1361-648X/aa6cc1
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Band gap formation and Anderson localization in disordered photonic materials with structural correlations
In: Proceedings of the National Academy of Sciences of the United States of America 114 (2017), p. 9570-9574
ISSN: 0027-8424
DOI: 10.1073/pnas.1705130114
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Shape-dependent ordering of gold nanocrystals into large-scale superlattices
In: Nature Communications 8 (2017), Article No.: 14038
ISSN: 2041-1723
DOI: 10.1038/ncomms14038
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Virial Coefficients and Equations of State for Hard Polyhedron Fluids
In: Langmuir 33 (2017), p. 11788-11796
ISSN: 0743-7463
DOI: 10.1021/acs.langmuir.7b02384
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Clathrate colloidal crystals
In: Science 355 (2017), p. 931-935
ISSN: 0036-8075
DOI: 10.1126/science.aal3919
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Quasicrystalline nanocrystal superlattice with partial matching rules
In: Nature Materials 16 (2017), p. 214-219
ISSN: 1476-1122
DOI: 10.1038/nmat4759
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2016
Fluid-to-Solid Transition of Hard Regular Polygons
In: ISRN Condensed Matter Physics (2016)
ISSN: 2090-7397
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Self-Assembly of Colloidal Nanocrystals: From Intricate Structures to Functional Materials
In: Chemical Reviews 116 (2016), p. 11220–11289
ISSN: 0009-2665
DOI: 10.1021/acs.chemrev.6b00196
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Role of Short-Range Order and Hyperuniformity in the Formation of Band Gaps in Disordered Photonic Materials
In: Physical Review Letters 117 (2016)
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.117.053902
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Quasicrystalline Nanocrystal Superlattice with Partial Matching Rules Xingchen Ye, Jun Chen, M. Eric Irrgang, Michael Engel, Angang Dong, Sharon C. Glotzer & Christopher B. Murray
In: Nature Materials (2016)
ISSN: 1476-1122
DOI: 10.1038/nmat4759
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2015
Cabinet of curiosities: self-assembly of unusual crystal structures
Aperiodic 2015 (Prag, 30. August 2015 - 4. September 2015)
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Packing and crystallization of hard shapes: from disks to tetrahedra
Workshop on Crystals and Random Networks (Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI, 9. February 2015 - 13. February 2015)
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Quasicrystals on the computer: The role of complexity for crystal growth
Workshop: Open Space between Heavy Fermions and Quasicrystals (Nagoya, 17. November 2015 - 19. November 2015)
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Simulation and modeling of self-assembly processes on the nanoscale and beyond
EAM Symposium 2015 (Kloster Banz, Bad Staffelstein, 23. November 2015 - 25. November 2015)
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Controlling Chirality of Entropic Crystals
In: Physical Review Letters 115 (2015)
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.115.158303
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Metastable orientational order of colloidal discoids
In: Nature Communications 6 (2015), Article No.: 8507
ISSN: 2041-1723
DOI: 10.1038/ncomms9507
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Shape control and compartmentalization in active colloidal cells
In: Proceedings of the National Academy of Sciences of the United States of America 112 (2015), p. E4642-E4650
ISSN: 0027-8424
DOI: 10.1073/pnas.1513361112
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Symmetry Considerations for the Targeted Assembly of Entropically Stabilized Colloidal Crystals via Voronoi Particles
In: Acs Nano 9 (2015), p. 2336-2344
ISSN: 1936-0851
DOI: 10.1021/nn507490j
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2014
Beyond close packing: complex order with simple models
Mini Stat Mech Meeting (Berkeley, California, 10. January 2014 - 12. January 2014)
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When and how can densest packings be achieved with nanoparticles?
Workshop: Jam-Packed (Erlangen, 15. September 2014 - 18. September 2014)
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Controlled Self-Assembly of Periodic and Aperiodic Cluster Crystals
In: Physical Review Letters 113 (2014)
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.113.098304
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Complexity in Surfaces of Densest Packings for Families of Polyhedra
In: Physical Review X 4 (2014)
ISSN: 2160-3308
DOI: 10.1103/PhysRevX.4.011024
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Computational self-assembly of a one-component icosahedral quasicrystal
In: Nature Materials 14 (2014), p. 109-116
ISSN: 1476-4660
DOI: 10.1038/nmat4152
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News & Views: A trinagular affair
In: Nature Physics 10 (2014), p. 185-186
ISSN: 1745-2473
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Soft matter: A triangular affair
In: Nature Physics 10 (2014), p. 185-186
ISSN: 1745-2473
DOI: 10.1038/nphys2903
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Emergent Collective Phenomena in a Mixture of Hard Shapes through Active Rotation
In: Physical Review Letters 112 (2014)
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.112.075701
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Understanding shape entropy through local dense packing
In: Proceedings of the National Academy of Sciences of the United States of America 111 (2014), p. E4812-E4821
ISSN: 0027-8424
DOI: 10.1073/pnas.1418159111
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Entropically Patchy Particles: Engineering Valence through Shape Entropy
In: Acs Nano 8 (2014), p. 931-940
ISSN: 1936-0851
DOI: 10.1021/nn4057353
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2013
Self-assembly and packing of polyhedra into complex crystal structures
DPG Frühjahrstagung (Regensburg, 11. March 2013 - 15. March 2013)
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When shapes collide: finding order in disorder
CECAM Workshop on Self-assembly (École polytechnique fédérale de Lausanne, 4. March 2013 - 6. March 2013)
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Hard-disk equation of state: First-order liquid-hexatic transition in two dimensions with three simulation methods
In: Physical Review E 87 (2013)
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.87.042134
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Massively parallel Monte Carlo for many-particle simulations on GPUs
In: Journal of Computational Physics 254 (2013), p. 27-38
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2013.07.023
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Packing and self-assembly of truncated triangular bipyramids
In: Physical Review E 88 (2013)
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.88.012127
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Shape Alloys of Nanorods and Nanospheres from Self-Assembly
In: Nano Letters 13 (2013), p. 4980-4988
ISSN: 1530-6984
DOI: 10.1021/nl403149u
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A Directional Entropic Force Approach to Assemble Anisotropic Nanoparticles into Superlattices
In: Angewandte Chemie International Edition 52 (2013), p. 13980-13984
ISSN: 1433-7851
DOI: 10.1002/anie.201306009
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Competition of shape and interaction patchiness for self-assembling nanoplates
In: Nature Chemistry 5 (2013), p. 466-473
ISSN: 1755-4330
DOI: 10.1038/nchem.1651
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2012
Aperiodic order in self-assembly with anisotopic particles and competing distances
Mathematics of Distances and Applications (Varna, 2. July 2012 - 5. July 2012)
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Brennpunkt: Aus Schaum gebaut
In: Physik Journal 11 (2012), p. 24-25
ISSN: 1617-9439
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Towards structural complexity with colloids
APS March Meeting (Boston, MA, 27. February 2012 - 2. March 2012)
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Crystalline assemblies and densest packings of a family of truncated tetrahedra and the role of directional entropic forces
In: Acs Nano 6 (2012), p. 609-614
ISSN: 1936-0851
DOI: 10.1021/nn204012y
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Predictive Self-Assembly of Polyhedra into Complex Structures
In: Science 337 (2012), p. 453-457
ISSN: 0036-8075
DOI: 10.1126/science.1220869
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Confirmation of the Random Tiling Hypothesis for a Decagonal Quasicrystal
In: Physical Review Letters 109 (2012), Article No.: 225502
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.109.225502
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2011
Entropic Stabilization of Tunable Planar Modulated Superstructures
In: Physical Review Letters 106 (2011)
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.106.095504
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Erratum: Entropic stabilization of tunable planar modulated superstructures (Physical Review Letters (2011) 106 (095504))
In: Physical Review Letters 106 (2011), Article No.: 169901
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.106.169901
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Unusual crystal structures with hard polyhedra
22nd Congress International Union of Crystallography (Madrid, 22. August 2011 - 30. August 2011)
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Low-temperature structure of xi '-Al-Pd-Mn optimized by ab initio methods
In: Physical Review B 84 (2011)
ISSN: 1098-0121
DOI: 10.1103/PhysRevB.84.184203
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Degenerate Quasicrystal of Hard Triangular Bipyramids
In: Physical Review Letters 107 (2011)
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.107.215702
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Phase diagram of hard tetrahedra
In: Journal of Chemical Physics 135 (2011)
ISSN: 0021-9606
DOI: 10.1063/1.3651370
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Eine unmögliche Entdeckung - Nobelpreis für Quasikristalle
In: Physik Journal 10 (2011), p. 31-34
ISSN: 1617-9439
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News & Views: Complex order in soft matter
In: Nature 471 (2011), p. 309-310
ISSN: 0028-0836
DOI: 10.1038/471309a
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2010
Brennpunkt: Volle Packung
In: Physik Journal 9 (2010), p. 18-19
ISSN: 1617-9439
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Quasicrystalline phase of densely packed tetrahedra
11th International Conference on Quasicrystals (Sapporo, 13. June 2010 - 18. June 2010)
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Dense Crystalline Dimer Packings of Regular Tetrahedra
In: Discrete & Computational Geometry 44 (2010), p. 253-280
ISSN: 0179-5376
DOI: 10.1007/s00454-010-9273-0
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Phason dynamics in one-dimensional lattices
In: Physical Review B 81 (2010)
ISSN: 1098-0121
DOI: 10.1103/PhysRevB.81.064302
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Dynamics of particle flips in two-dimensional quasicrystals
In: Physical Review B 82 (2010)
ISSN: 1098-0121
DOI: 10.1103/PhysRevB.82.134206
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2009
Entropic stabilization of quasicrystals in the Lennard-Jones-Gauss system
10th International Conference on Quasicrystals (Eidgenössische Technische Hochschule Zürich, 6. July 2009 - 11. July 2009)
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Observation of one-component quasicrystals in simulations
Quasiperiodic Tilings and Related Topics (Kochi University, 19. June 2009 - 22. June 2009)
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Spontaneous formation of a dense aperiodic crystal from hard tetrahedra
Aperiodic 2009 (Liverpool, 13. September 2009 - 18. September 2009)
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Disordered, quasicrystalline and crystalline phases of densely packed tetrahedra
In: Nature 462 (2009), p. 773-U91
ISSN: 0028-0836
DOI: 10.1038/nature08641
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Simulating structure and physical properties of complex metallic alloys
In: Properties and Applications of Complex Intermetallics, World Scientific, 2009, p. 293-330 (Book Series on Complex Metallic Alloys, Vol.2)
ISBN: 978-981-4261-63-0
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2008
Dynamics and Defects of Complex Crystals and Quasicrystals: Perspectives from Simple Model Systems (Dissertation, 2008)
DOI: 10.18419/opus-4824
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Stability of the decagonal quasicrystal in the Lennard-Jones-Gauss system
In: Philosophical Magazine 88 (2008), p. 1959-1965
ISSN: 1478-6435
DOI: 10.1080/14786430802132548
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Structural complexity in monodisperse systems of isotropic particles
In: Zeitschrift für Kristallographie 223 (2008), p. 721-725
ISSN: 0044-2968
DOI: 10.1524/zkri.2008.1040
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Structural variations in epsilon-type Al-Pd-(Mn, Fe) complex metallic alloy phases
In: Philosophical Magazine 88 (2008), p. 507-521
ISSN: 1478-6435
DOI: 10.1080/14786430801894528
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2007
Metadislocations in Al-Pd-Mn-phases as examples for partial dislocations in CMAs
European Conference on Advanced Materials (Nürnberg, 10. September 2007 - 13. September 2007)
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Structure factors of harmonic and anharmonic Fibonacci chains by molecular dynamics simulations
In: Physical Review B 75 (2007)
ISSN: 1098-0121
DOI: 10.1103/PhysRevB.75.144203
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Self-assembly of monatomic complex crystals and quasicrystals with a double-well interaction potential
In: Physical Review Letters 98 (2007)
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.98.225505
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2006
Tiling models for metadislocations in AlPdMn approximants
In: Philosophical Magazine 86 (2006), p. 979-984
ISSN: 1478-6435
DOI: 10.1080/14786430500255211
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2005
A unified projection formalism for the Al-Pd-Mn quasi-crystal Xi-approximants and their metadislocations
In: Philosophical Magazine 85 (2005), p. 2227-2247
ISSN: 1478-6435
DOI: 10.1080/14786430500070669
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