For citation metrics see: Google Scholar, Web of Science, Scopus, ORCID.
Many preprints can be found on arXiv.

Preprints / In Press

  1. Michael Engel
    Point Group Analysis in Particle Simulation Data
    arXiv:2106.14846, preprint (2021)


  1. Sandra Bueno, Alberto Leonardi, Nabojit Kar, Kaustav Chatterjee, Xun Zhan, Changqiang Chen, Zhiyu Wang, Michael Engel, Victor Fung, Sara Skrabalak
    Quinary, Senary, and Septenary High Entropy Alloy Nanoparticle Catalysts from Core@Shell Nanoparticles and the Significance of Intraparticle Heterogeneity
    ACS Nano 16, 18873-18885 (2022)
  2. Junwei Wang, Yang Liu, Silvan Englisch, Thomas Przybilla, Chrameh F. Mbah, Eric S. A. Goerlitzer, Michael Engel, Erdmann Spiecker, Inhar Imaz, Daniel Maspoch, Nicolas Vogel
    Coloration in Supraparticles Assembled from Polyhedral Metal-Organic Framework Particles
    Angewandte Chemie 61, e202117455 (2022)
  3. Alberto Leonardi, Reinhard Neder, Michael Engel
    Efficient Solution of Particle Shape Functions for the Analysis of Powder Total Scattering Data
    Journal of Applied Crystallography 55, 329 (2022)


  1. Yang Liu, Marco Klement, Yi Wang, Yaxu Zhong, Baixu Zhu, Jun Chen, Michael Engel, Xingchen Ye
    Macromolecular Ligand Engineering for Programmable Nanoprism Assembly
    Journal of the American Chemical Society 143, 16163-16172 (2021)
    Highlighted in: JACS Spotlights
  2. Marco Klement, Sangmin Lee, Joshua A. Anderson, Michael Engel
    Newtonian Event-Chain Monte Carlo and Collision Prediction with Polyhedral Particles
    Journal of Chemical Theory and Computation 17, 4686-4696 (2021)
  3. Julia Dshemuchadse, Pablo F. Damasceno, Carolyn L. Phillips, Michael Engel, Sharon C. Glotzer
    Moving Beyond the Constraints of Chemistry via Crystal Structure Discovery with Isotropic Multiwell Pair Potentials
    Proceedings of the National Academy of Sciences 118, e2024034118 (2021)
    Highlighted in: PNAS Commentary
  4. Michael Engel
    Complexity Far from Equilibrium
    Inference Review 6 (2021)
  5. Christian Scholz, Anton Ldov, Thorsten Pöschel, Michael Engel, Hartmut Löwen
    Surfactants and Rotelles in Active Chiral Fluids
    Science Advances 7, abf8998 (2021)
    Highlighted in: FAU Research
  6. Michael Engel
    INJAVIS — INteractive JAva VISualization
    Zenodo, 4639570 (2021)
    Highlighted in: More Information
  7. Kwanghwi Je, Sangmin Lee, Erin G. Teich, Michael Engel, Sharon C. Glotzer
    Entropic Formation of a Thermodynamically Stable Colloidal Quasicrystal with Negligible Phason Strain
    Proceedings of the National Academy of Sciences 118, e2011799118 (2021)


  1. Dmitri V. Talapin, Michael Engel, Paul Braun
    Functional Materials and Devices by Self-Assembly
    MRS Bulletin 45, 799-806 (2020)
    Highlighted in: Perspective for Special Issue
  2. Junwei Wang, Umair Sultan, Eric S. A. Görlitzer, Chrameh F. Mbah, Michael Engel, Nicolas Vogel
    Structural Color of Colloidal Clusters as a Tool to Investigate Structure and Dynamics
    Advanced Functional Materials 30, 1907730 (2020)
    Highlighted in: Special Issue: Assembly of Materials Building Blocks into Integrated Complex Functional Systems
  3. Lei Chen, Alberto Leonardi, Jun Chen, Muhan Cao, Na Li, Dong Su, Qiao Zhang, Michael Engel, Xingchen Ye
    Imaging the Kinetics of Anisotropic Dissolution of Bimetallic Core-Shell Nanocubes using Graphene Liquid Cells
    Nature Communications 11, 3041 (2020)
  4. Praveen K. Bommineni, Marco Klement, Michael Engel
    Spontaneous Crystallization in Systems of Binary Hard Sphere Colloids
    Physical Review Letters 124, 218003 (2020)
  5. Jocelyn T. L. Gamler, Alberto Leonardi, Xiahan Sang, Kallum M. Koczkur, Raymond R. Unocic, Michael Engel, Sara E. Skrabalak
    Effect of Lattice Mismatch and Shell Thickness on Strain in Core@Shell Nanocrystals
    Nanoscale Advances 2, 1105-1114 (2020)


  1. Junwei Wang, Chrameh F. Mbah, Thomas Przybilla, Silvan Englisch, Erdmann Spiecker, Michael Engel, Nicholas Vogel
    Free Energy Landscape of Colloidal Clusters in Spherical Confinement
    ACS Nano 13, 9005-9015 (2019)
    Highlighted in: Cover Article
  2. Sangmin Lee, Erin G. Teich, Michael Engel, Sharon C. Glotzer
    Entropic Colloidal Crystallization Pathways via Fluid-Fluid Transitions
    and Multidimensional Pre-Nucleation Motifs

    Proceedings of the National Academy of Sciences 116, 14843-14851 (2019)
  3. Michael Engel
    The Hunt for Natural Quasicrystals
    Physics Today 72, 56-57 (2019)
  4. Marco Klement, Michael Engel
    Efficient Equilibration of Hard Spheres with Newtonian Event Chains
    Journal of Chemical Physics 150, 174108 (2019)
    Highlighted in: JCP Editors’ Pick
  5. Jocelyn T. L. Gamler, Alberto Leonardi, Hannah M. Ashberry, Nicholas N. Daanen, Yaroslav Losovyj, Raymond R. Unocic, Michael Engel, Sara E. Skrabalak
    Achieving Highly Durable Random Alloy Nanocatalysts through Intermetallic Cores
    ACS Nano 13, 4008-4017 (2019)
  6. Praveen K. Bommineni, Nydia Roxana Varela-Rosales, Marco Klement, Michael Engel
    Complex Crystals from Size-Disperse Spheres
    Physical Review Letters 122, 128005 (2019)
    Highlighted in: PRL Editors’ Suggestion and Nature Materials News and Views and
  7. Wenbo Shen, James Antonaglia, Joshua A. Anderson, Michael Engel,Greg van Anders, Sharon C. Glotzer
    Symmetries in Hard Polygon Systems Determine Plastic Colloidal Crystal Mesophases in Two Dimensions
    Soft Matter 15, 2571-2579 (2019)


  1. Junwei Wang, Chrameh F. Mbah, Thomas Przybilla, Benjamin Apeleo Zubiri, Erdmann Spiecker, Michael Engel, Nicolas Vogel
    Magic Number Colloidal Clusters as Minimum Free Energy Structures
    Nature Communications 9, 5259 (2018)
    Highlighted in: FAU Research and Science et Vie
  2. Daphne Klotsa, Elizabeth R. Chen, Michael Engel, Sharon C. Glotzer
    Intermediate Crystalline Structures of Colloids in Shape Space
    Soft Matter 14, 8692-8697 (2018)
    Highlighted in: Inside Front Cover
  3. Alberto Leonardi, Michael Engel
    Particle Shape Control via Etching of Core-Shell Nanocrystals
    ACS Nano 12, 9186-9195 (2018)
  4. Christian Scholz, Michael Engel, Thorsten Pöschel
    Rotating Robots Move Collectively and Self-Organize
    Nature Communications 9, 931 (2018)
    Highlighted in: and Nature Collection “Active Matter”
  5. Yunlong Zhou, Pablo F. Damasceno, Bagganahalli S. Somashekar, Michael Engel, Falin Tian, Jian Zhu, Rui Huang, Kyle Johnson, Carl McIntyre, Kai Sun, Ming Yang, Peter F. Green, Ayyalusamy Ramamoorthy, Sharon C. Glotzer, Nicholas A. Kotov
    Unusual Multiscale Mechanics of Biomimetic Nanoparticle Hydrogels
    Nature Communications 9, 181 (2018)


  1. M. Eric Irrgang, Michael Engel, Andrew J. Schultz, David A. Kofke, Sharon C. Glotzer
    Virial Coefficients and Equations of State for Hard Polyhedron Fluids
    Langmuir 33, 11788–11796 (2017)
  2. Luis S. Froufe-Perez, Michael Engel, Juan José Saenz, Frank Scheffold
    Band Gap Formation and Anderson Localization in Disordered Photonic Materials with Structural Correlations
    Proceedings of the National Academy of Sciences 114, 9570-9574 (2017)
    Highlighted in: Uni Fribourg Research Story
  3. Pablo F. Damasceno, Sharon C. Glotzer, Michael Engel
    Non-Close-Packed Three-Dimensional Quasicrystals
    Journal of Physics: Condensed Matter 29, 234005 (2017)
    Highlighted in: Special Issue Collection “Soft quasicrystals”
  4. Joshua A. Anderson, James Antonaglia, Jamie A. Millan, Michael Engel, Sharon C. Glotzer
    Shape and Symmetry Determine Two-Dimensional Melting Transitions of Hard Regular Polygons
    Physical Review X 7, 021001 (2017)
  5. Haixin Lin, Sangmin Lee, Lin Sun, Matthew Spellings, Michael Engel, Sharon C. Glotzer, Chad A. Mirkin
    Clathrate Colloidal Crystals
    Science 355, 931-935 (2017)
    Highlighted in: Science Perspective and and
    Cover of “National Nanotechnology Initiative”
  6. Jianxiao Gong, Richmond S. Newman, Michael Engel, Man Zhao, Fenggang Bian, Sharon C. Glotzer, Zhiyong Tang
    Shape-Dependent Ordering of Gold Nanocrystals into Large-Scale Superlattices
    Nature Communications 8, 14038 (2017)
  7. Xingchen Ye, Jun Chen, M. Eric Irrgang, Michael Engel, Angang Dong, Sharon C. Glotzer, Christopher B. Murray
    Quasicrystalline Nanocrystal Superlattice with Partial Matching Rules
    Nature Materials 16, 214-219 (2017)
    Highlighted in: PennNews


  1. Michael A. Boles, Michael Engel, Dmitri V. Talapin
    Self-Assembly of Colloidal Nanocrystals: From Intricate Structures to Functional Materials
    Chemical Reviews 116, 11220-11289 (2016)
  2. Luis S. Froufe-Perez, Michael Engel, Pablo F. Damasceno, Nicolas Muller, Jakub Haberko, Sharon C. Glotzer, Frank Scheffold
    Role of Short-Range Order and Hyperuniformity in the Formation of Band Gaps in Disordered Photonic Materials
    Physical Review Letters 117, 053902 (2016)


  1. Pablo F. Damasceno, Andrew S. Karas, Benjamin A. Schultz, Michael Engel, Sharon C. Glotzer
    Controlling Chirality of Entropic Crystals
    Physical Review Letters 115, 158303 (2015)
  2. Lilian C. Hsiao, Benjamin A. Schultz, Jens Glaser, Michael Engel, Megan E. Szakasits, Sharon C. Glotzer, Michael J. Solomon
    Metastable Orientational Order of Colloidal Discoids
    Nature Communications 6, 8507 (2015)
  3. Matthew Spellings, Michael Engel, Daphne Klotsa, Syeda Sabrina, Aaron M. Drews, Nguyen H. P. Nguyen, Kyle J. M. Bishop, Sharon C. Glotzer
    Shape Control and Compartmentalization in Active Colloidal Cells
    Proceedings of the National Academy of Sciences 112, E4642-E4650 (2015)
    Highlighted in: Nature Physics Research Highlights
  4. Benjamin A. Schultz, Pablo F. Damasceno, Michael Engel, Sharon C. Glotzer
    Symmetry Considerations for the Targeted Assembly of Entropically Stabilized Colloidal Crystals via Voronoi Particles
    ACS Nano 9, 2336-2344 (2015)
  5. Michael Engel, Pablo F. Damasceno, Carolyn L. Phillips, Sharon C. Glotzer
    Computational Self-Assembly of a One-Component Icosahedral Quasicrystal
    Nature Materials 14, 109-116 (2015)
    Highlighted in: Nature Materials News and Views


  1. Greg van Anders, N. Khalid Ahmed, Daphne Klotsa, Michael Engel, Sharon C. Glotzer
    Understanding Shape Entropy through Local Dense Packing
    Proceedings of the National Academy of Sciences 111, E4812-E4821 (2014)
    Highlighted in: Nature Materials News and Views
  2. Kobi Barkan, Michael Engel, Ron Lifshitz
    Controlled Self-Assembly of Periodic and Aperiodic Cluster Crystals
    Physical Review Letters 113, 098304 (2014)
    Highlighted in:
  3. Michael Engel, Sharon C. Glotzer
    News&Views: A Triangular Affair
    Nature Physics 10, 185-186 (2014)
  4. Elizabeth R. Chen, Daphne Klotsa, Michael Engel, Pablo F. Damasceno, Sharon C. Glotzer
    Complexity in Surfaces of Densest Packings for Families of Polyhedra
    Physical Review X 4, 011024 (2014)
    Highlighted in: Physics Synopsis and IOP Physics World
  5. Nguyen H. P. Nguyen, Daphne Klotsa, Michael Engel, Sharon C. Glotzer
    Emergent Collective Phenomena in a Mixture of Hard Shapes through Active Rotation
    Physical Review Letters 112, 075701 (2014)
  6. Greg van Anders, N. Khalid Ahmed, Ross Smith, Michael Engel, Sharon C. Glotzer
    Entropically Patchy Particles: Engineering Valence through Shape Entropy
    ACS Nano 8, 931-940 (2014)


  1. Kaylie L. Young, Michelle L. Personick, Michael Engel, Pablo F. Damasceno, Stacey N. Barnaby, Reiner Bleher, Tao Li, Sharon C. Glotzer, Byeongdu Lee, Chad A. Mirkin
    A Directional Entropic Force Approach to Anisotropic Nanoparticle Assembly
    Angewandte Chemie 52, 13980-13984 (2013)
  2. Xingchen Ye, Jamie A. Millan, Michael Engel, Jun Chen, Benjamin T. Diroll, Sharon C. Glotzer, Christopher B. Murray
    Shape Alloys of Nanorods and Nanospheres from Self-Assembly
    Nano Letters 13, 4980-4988 (2013)
  3. Joshua A. Anderson, Eric Jankowski, Thomas L. Grubb, Michael Engel, Sharon C. Glotzer
    Massively Parallel Monte Carlo for Many-Particle Simulations on GPUs
    Journal of Computational Physics 254, 27-38 (2013)
  4. Amir Haji-Akbari, Elizabeth R. Chen, Michael Engel, Sharon C. Glotzer
    Packing and Self-Assembly of Truncated Triangular Bipyramids
    Physical Review E 88, 012127 (2013)
  5. Xingchen Ye, Jun Chen, Michael Engel, Jamie A. Millan, Wenbin Li, Liang Qi, Guozhong Xing, Joshua E. Collins, Cherie R. Kagan, Ju Li, Sharon C. Glotzer, Christopher B. Murray
    Competition of Shape and Interaction Patchiness for Self-Assembling Nanoplates
    Nature Chemistry 5, 466-473 (2013)
    Highlighted in: Cover Article and MRS Bulletin
  6. Michael Engel, Joshua A. Anderson, Sharon C. Glotzer, Masaharu Isobe, Etienne P. Bernard, Werner Krauth
    Hard-Disk Equation of State: First-Order Liquid-Hexatic Transition in Two Dimensions with Three Simulation Methods
    Physical Review E 87, 042134 (2013)
    Highlighted in: CNRS Actualité and Physical Review E 25th Anniversary Milestone


  1. Alexander Kiselev, Michael Engel, Hans-Rainer Trebin
    Confirmation of the Random Tiling Hypothesis for a Decagonal Quasicrystal
    Physical Review Letters 109, 225502 (2012)
  2. Pablo F. Damasceno, Michael Engel, Sharon C. Glotzer
    Predictive Self-Assembly of Polyhedra into Complex Structures
    Science 337, 453-457 (2012)
    Highlighted in: Science Perspective and Scientific American and others
  3. Pablo F. Damasceno, Michael Engel, Sharon C. Glotzer
    Crystalline Assemblies and Densest Packings of a Family of Truncated Tetrahedra and the Role of Directional Entropic Forces
    ACS Nano 6, 609-614 (2012)
    Highlighted in: in Nano
  4. Michael Engel
    Brennpunkt: Aus Schaum gebaut
    Physik Journal 6/2012, 24-25 (2012)


  1. Benjamin Frigan, Alejandro Santana, Michael Engel, Daniel Schopf, Hans-Rainer Trebin, Marek Mihalkovic
    Low-Temperature Structure of ξ’-Al-Pd-Mn Optimized by Ab Initio Methods
    Physical Review B 84, 184203 (2011)
  2. Amir Haji-Akbari, Michael Engel, Sharon C. Glotzer
    Degenerate Quasicrystal of Hard Triangular Bipyramids
    Physical Review Letters 107, 215702 (2011)
    Highlighted in: Cover Article and IOP Physics World
  3. Amir Haji-Akbari, Michael Engel, Sharon C. Glotzer
    Phase Diagram of Hard Tetrahedra
    Journal of Chemical Physics 135, 194101 (2011)
  4. Michael Engel
    Entropic Stabilization of Tunable Planar Modulated Superstructures
    Physical Review Letters 106, 095504 (2011)
  5. Sharon C. Glotzer, Michael Engel
    News&Views: Complex Order in Soft Matter
    Nature 471, 309-310 (2011)
  6. Michael Engel, Johannes Roth, Hans-Rainer Trebin
    Eine unmögliche Entdeckung – Nobelpreis für Quasikristalle
    Physik Journal 12/2011, 31-34 (2011)
    Highlighted in: Cover Article


  1. Michael Engel, Masahiro Umezaki, Hans-Rainer Trebin, Takashi Odagaki
    Dynamics of Particle Flips in Two-Dimensional Quasicrystals
    Physical Review B 82, 134206 (2010)
  2. Elizabeth R. Chen, Michael Engel, Sharon C. Glotzer
    Dense Crystalline Dimer Packings of Regular Tetrahedra
    Discrete and Computational Geometry 44, 253-280 (2010)
    Highlighted in: New York Times and SIAM News and MDMV and Frankfurter Allgemeine Zeitung and others
  3. Hansjörg Lipp, Michael Engel, Steffen Sonntag, Hans-Rainer Trebin
    Phason Dynamics in One-Dimensional Lattices
    Physical Review B 81, 064302 (2010)
  4. Michael Engel
    Brennpunkt: Volle Packung
    Physik Journal 9/2010, 18-19 (2010)


  1. Amir Haji-Akbari, Michael Engel, Aaaron S. Keys, Xiaoyu Zheng, Rolfe G. Petschek, Peter Palffy-Muhoray, Sharon C. Glotzer
    Disordered, Quasicrystalline and Crystalline Phases of Densely Packed Tetrahedra
    Nature 462, 773-777 (2009)
    Highlighted in: BBC Science Image
  2. Hans-Rainer Trebin, Peter Brommer, Michael Engel, Franz Gähler, Stephen Hocker, Frohmut Rösch, Johannes Roth
    Simulating Structure and Physical Properties of Complex Metallic Alloys
    in: Esther Belin-Ferré (ed.)
    Properties and Applications of Complex Intermetallics, World Scientific, 291-330 (2009)


  1. Michael Engel, Hans-Rainer Trebin
    Structural Complexity in Monodisperse Systems of Isotropic Particles
    Zeitschrift für Kristallographie 223, 721-725 (2008)
  2. Michael Engel, Hans-Rainer Trebin
    Stability of the Decagonal Quasicrystal in the Lennard-Jones-Gauss System
    Philosophical Magazine 88, 1959-1965 (2008)
  3. Marc Heggen, Michael Engel, Sergij Balanetskyy, Michael Feuerbacher, Hans-Rainer Trebin
    Structural Variations in ε-Type Al-Mn-(Pd, Fe) Complex Metallic Alloy Phases
    Philosophical Magazine 88, 507-521 (2008)
  4. Michael Engel
    Dynamics and Defects of Complex Crystals and Quasicrystals: Perspectives from Simple Model Systems
    Doctoral Thesis, Universität Stuttgart (2008)

2004 – 2007

  1. Michael Engel, Hans-Rainer Trebin
    Self-Assembly of Monatomic Complex Crystals and Quasicrystals with a Double-Well Interaction Potential
    Physical Review Letters 98, 225505 (2007)
  2. Michael Engel, Steffen Sonntag, Hansjörg Lipp, Hans-Rainer Trebin
    Structure Factors of Harmonic and Anharmonic Fibonacci Chains by Molecular Dynamics Simulations
    Physical Review B 75, 144203 (2007)
  3. Michael Engel, Hans-Rainer Trebin
    Tiling Models for Metadislocations in AlPdMn Approximants
    Philosophical Magazine 86, 979-984 (2006)
  4. Michael Engel, Hans-Rainer Trebin
    A Unified Projection formalism for the Al-Pd-Mn Quasicrystal Ξ-Approximants and their Metadislocations
    Philosophical Magazine 85, 2227-2247 (2005)
  5. Michael Engel
    Zur Geometrie von Phasonen und Versetzungen in Quasikristallen und ihren Approximanten
    Diplomarbeit, Universität Stuttgart (2004)