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RESEARCH PAPER · Acta Crystallographica Section A Foundations and Advances · 2018

An algebraic approach to cooperative rotations in networks of interconnected rigid units

Branton J. Campbell, Christopher J. Howard, Tyler B. Averett, Thomas A. Whittle, Siegbert Schmid, Shae Machlus, Christopher Yost, Harold T. Stokes

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42 direct citing works

An algebraic approach to cooperative rotations in networks of interconnected rigid unitsOriginalRigid units revisited9Octahedral tilting in the tungsten bronzes. Addendum.11Group-theoretical analysis of 1:3A-site-ordered perovskite formation20Local structure of relaxor ferroelectric Sr x Ba 1 − x Nb 2 O 6 from a pair distribution function analysis26Supercolossal Uniaxial Negative Thermal Expansion in Chloranilic Acid Pyrazine, CA-Pyz27Phonon band gaps in the IV-VI monochalcogenides42Octahedral tilting in the polar hexagonal tungsten bronzes RbNbW2O9 and KNbW2O96Experimental Evidence for Vibrational Entropy as Driving Parameter of Flexibility in the Metal–Organic Framework ZIF-4(Zn)37Phase transitions in Bi4Ti3O1211Group-theoretical analysis of structural instability, vacancy ordering and magnetic transitions in the system troilite (FeS)–pyrrhotite (Fe1−xS)16Synthesis, structure and dielectric properties of the Sr 3 Ti 1−x Zr x Nb 4 O 15 , (0 ≤ x ≤ 1), series of tungsten bronze type compounds3Long-Range and Local Structure of Sr x Ba 1– x Nb 2 O 6 ( x = 0.33 and 0.67) across the Ferroelectric–Relaxor Transition33Phase transitions in the hexagonal tungsten bronze RbNbW2O93Structural Evolution of Ferroelectric and Ferroelastic Barium Sodium Niobate Tungsten Bronze29Kagomé networks of octahedrally coordinated metal atoms in minerals: Relating different mineral structures through octahedral tilting8Multi-analyser detector (MAD) for high-resolution and high-energy powder X-ray diffraction32Crystal structures, electrical properties, and electron energy-loss spectroscopy of the sodium and potassium tetragonal tungsten bronzes16Revisiting the Structure of Calcined and Hydrated AlPO‐11 with DFT‐Based Molecular Dynamics Simulations**12The ISOTILT software for discovering cooperative rigid-unit rotations in networks of interconnected rigid units12Theoretical and computational improvements to the algebraic method for discovering cooperative rigid-unit modes7The frequency spectrum of rotobreathers with many degrees of freedom6Structure and relaxor ferroelectric behavior of the novel tungsten bronze type ceramic Sr5BiTi3Nb7O308Mechanical Properties of Cubene Crystals6Refining perovskite structures to pair distribution function data using collective Glazer modes as a basis4Anomalous Mechanical Behaviour Arising From Framework Flexibility1The rigid unit mode model: review of ideas and applications23Temperature dependence of incommensurate modulation in Ca0.28Ba0.72Nb2O62Thermal expansion of SrxBa1−xNb2O6 across and above the ferroelectric phase transition3Structural origins of dielectric anomalies in the filled tetragonal tungsten bronze Sr2NaNb5O1514Understanding secondary order parameters in perovskites with tilted octahedra5Small-angle rigid-unit modes requiring linear strain compensation0Octahedral Tilting in Perovskite Polytypes10Mechanisms and design principles for optimizing lattice thermal conductivity in chalcogenides: A comprehensive review7Planar negative thermal expansion in the layered hybrid network material ZnB 2 ( CN ) 82

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34 direct citing papers saved.

  1. Rigid units revisited

    Acta Crystallographica Section A Foundations and Advances · 2018-09-01

    Anthony E. Phillips

    Read original paper ↗ ·

  2. Octahedral tilting in the tungsten bronzes. Addendum.

    Acta Crystallographica Section B Structural Science Crystal Engineering and Materials · 2018-11-17

    Thomas A. Whittle, Siegbert Schmid, Christopher J. Howard

    Read original paper ↗ ·

  3. Group-theoretical analysis of 1:3A-site-ordered perovskite formation

    Acta Crystallographica Section A Foundations and Advances · 2019-02-28

    Mikhail V. Talanov

    Read original paper ↗ ·

  4. Local structure of relaxor ferroelectric Sr x Ba 1 − x Nb 2 O 6 from a pair distribution function analysis

    Physical review. B./Physical review. B · 2019-03-05

    Marek Antoni Pasciak, P. Ondrejkovič, J. Kulda, P. Vaněk, Jan Drahokoupil, Gwladys Steciuk, Lukáš Palatinus, Thomas Richard Welberry, Henry E. Fischer, J. Hlinka, E. Buixaderas

    Read original paper ↗ ·

  5. Supercolossal Uniaxial Negative Thermal Expansion in Chloranilic Acid Pyrazine, CA-Pyz

    Chemistry of Materials · 2019-05-28

    Huiyu Liu, Matthias Josef Gutmann, Harold T. Stokes, Branton J. Campbell, Ivana Radosavljević Evans, John S. O. Evans

    Read original paper ↗ ·

  6. Phonon band gaps in the IV-VI monochalcogenides

    Physical review. B./Physical review. B · 2019-08-07

    Uri Argaman, Ran Eitan Abutbul, Yuval Golan, Guy Makov

    Read original paper ↗ ·

  7. Octahedral tilting in the polar hexagonal tungsten bronzes RbNbW2O9 and KNbW2O9

    Acta Crystallographica Section B Structural Science Crystal Engineering and Materials · 2019-09-07

    Jason A. McNulty, Alexandra S. Gibbs, Philip Lightfoot, Finlay D. Morrison

    Read original paper ↗ ·

  8. Experimental Evidence for Vibrational Entropy as Driving Parameter of Flexibility in the Metal–Organic Framework ZIF-4(Zn)

    Chemistry of Materials · 2019-09-17

    Keith T. Butler, Pia Vervoorts, Michael G. Ehrenreich, Jeff Armstrong, Jonathan Michael Skelton, Gregor Kieslich

    Read original paper ↗ ·

  9. Phase transitions in Bi4Ti3O12

    Acta Crystallographica Section B Structural Science Crystal Engineering and Materials · 2019-11-06

    В. Б. Широков, Mikhail V. Talanov

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  10. Group-theoretical analysis of structural instability, vacancy ordering and magnetic transitions in the system troilite (FeS)–pyrrhotite (Fe1−xS)

    Acta Crystallographica Section B Structural Science Crystal Engineering and Materials · 2019-11-25

    Charles R. S. Haines, Christopher J. Howard, Richard J. Harrison, Michael A. Carpenter

    Read original paper ↗ ·

  11. Synthesis, structure and dielectric properties of the Sr 3 Ti 1−x Zr x Nb 4 O 15 , (0 ≤ x ≤ 1), series of tungsten bronze type compounds

    CrystEngComm · 2020-01-01

    Thomas A. Whittle, Teng Lü, Peter E. R. Blanchard, James Hester, Qinfen Gu, Yun Liu, Siegbert Schmid

    Read original paper ↗ ·

  12. Long-Range and Local Structure of Sr x Ba 1– x Nb 2 O 6 ( x = 0.33 and 0.67) across the Ferroelectric–Relaxor Transition

    Chemistry of Materials · 2020-02-10

    Cheng Li, Yuanpeng Zhang, Jue Liu, Heribert A. Graetsch

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  13. Phase transitions in the hexagonal tungsten bronze RbNbW2O9

    Journal of Solid State Chemistry · 2020-02-27

    Jason A. McNulty, Alexandra S. Gibbs, Philip Lightfoot, Finlay D. Morrison

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  14. Structural Evolution of Ferroelectric and Ferroelastic Barium Sodium Niobate Tungsten Bronze

    Inorganic Chemistry · 2020-06-02

    Solveig Stubmo Aamlid, Sverre M. Selbach, Tor Grande

    Read original paper ↗ ·

  15. Kagomé networks of octahedrally coordinated metal atoms in minerals: Relating different mineral structures through octahedral tilting

    Mineralogical Magazine · 2020-09-17

    Ian Edward Grey

    Read original paper ↗ ·

  16. Multi-analyser detector (MAD) for high-resolution and high-energy powder X-ray diffraction

    Journal of Synchrotron Radiation · 2020-12-08

    Alexander Schökel, Martin Etter, Andreas Berghäuser, Alexander Horst, D. Lindackers, Thomas A. Whittle, Siegbert Schmid, Matias Acosta, Michael Knapp, Helmut Ehrenberg, Manuel Hinterstein

    Read original paper ↗ ·

  17. Crystal structures, electrical properties, and electron energy-loss spectroscopy of the sodium and potassium tetragonal tungsten bronzes

    Journal of Alloys and Compounds · 2021-02-17

    Levi Tegg, Georg Haberfehlner, Gerald Kothleitner, Erich Herold Kisi, Vicki J. Keast

    Read original paper ↗ ·

  18. Revisiting the Structure of Calcined and Hydrated AlPO‐11 with DFT‐Based Molecular Dynamics Simulations**

    ChemPhysChem · 2021-07-27

    Michael Fischer

    Read original paper ↗ ·

  19. The ISOTILT software for discovering cooperative rigid-unit rotations in networks of interconnected rigid units

    Journal of Applied Crystallography · 2021-11-02

    Branton J. Campbell, Harold T. Stokes, Tyler B. Averett, Shae Machlus, Christopher J. Yost

    Read original paper ↗ ·

  20. Theoretical and computational improvements to the algebraic method for discovering cooperative rigid-unit modes

    Journal of Applied Crystallography · 2021-11-02

    Branton J. Campbell, Harold T. Stokes, Tyler B. Averett, Shae Machlus, Christopher J. Yost

    Read original paper ↗ ·

  21. The frequency spectrum of rotobreathers with many degrees of freedom

    Europhysics Letters (EPL) · 2022-02-01

    A. V. Savin, Sergey Vladimirovich Dmitriev

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  22. Structure and relaxor ferroelectric behavior of the novel tungsten bronze type ceramic Sr5BiTi3Nb7O30

    Journal of Applied Physics · 2022-04-27

    Qiuwei He, Siegbert Schmid, Xue Chen, Biaolin Peng, Chunchun Li, Changzheng Hu, Laijun Liu, Manuel Hinterstein

    Read original paper ↗ ·

  23. Mechanical Properties of Cubene Crystals

    Materials · 2022-07-13

    Leysan Kh. Galiakhmetova, И. С. Павлов, Ayrat M. Bayazitov, Igor V. Kosarev, Sergey Vladimirovich Dmitriev

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  24. Refining perovskite structures to pair distribution function data using collective Glazer modes as a basis

    IUCrJ · 2022-09-01

    Sandra Helen Skjærvø, Martin A. Karlsen, Riccardo Comin, Simon J. L. Billinge

    Read original paper ↗ ·

  25. Anomalous Mechanical Behaviour Arising From Framework Flexibility

    Royal Society of Chemistry eBooks · 2023-03-24

    A. Marmier

    Read original paper ↗ ·

  26. The rigid unit mode model: review of ideas and applications

    Reports on Progress in Physics · 2023-03-27

    Lei Tan, Volker Heine, G. Li, Martin T. Dove

    Read original paper ↗ ·

  27. Temperature dependence of incommensurate modulation in Ca0.28Ba0.72Nb2O6

    Journal of Applied Physics · 2023-08-08

    Richard Beanland, L. Harrison, S. Khan, T. Brown, Teresa Roncal‐Herrero, Harry Peirson, Andy Brown, Steven John Milne

    Read original paper ↗ ·

  28. Thermal expansion of SrxBa1−xNb2O6 across and above the ferroelectric phase transition

    Journal of the European Ceramic Society · 2023-10-11

    Viviann H. Pedersen, Elvia Anabela Chavez Panduro, Weicheng Hua, Marcus Grand Michaelsen, Dmitry Chernyshov, Julian Walker, Tor Grande, Mari‐Ann Einarsrud

    Read original paper ↗ ·

  29. Structural origins of dielectric anomalies in the filled tetragonal tungsten bronze Sr2NaNb5O15

    Communications Materials · 2024-05-07

    J.P. Tidey, Urmimala Dey, Ana M. Sánchez, Wei‐Tin Chen, Bo‐Hao Chen, Yu‐Chun Chuang, María Teresa Fernández-Díaz, Nicholas C. Bristowe, Richard Beanland, Mark S. Senn

    Read original paper ↗ ·

  30. Understanding secondary order parameters in perovskites with tilted octahedra

    Journal of Applied Crystallography · 2024-10-03

    Ekaterina G. Trotsenko, Mikhail V. Talanov

    Read original paper ↗ ·

  31. Small-angle rigid-unit modes requiring linear strain compensation

    Acta Crystallographica Section A Foundations and Advances · 2024-12-06

    Bryce T. Eggers, Harold T. Stokes, Branton J. Campbell

    Read original paper ↗ ·

  32. Octahedral Tilting in Perovskite Polytypes

    Chemistry of Materials · 2025-06-02

    Struan Simpson, Mark S. Senn

    Read original paper ↗ ·

  33. Mechanisms and design principles for optimizing lattice thermal conductivity in chalcogenides: A comprehensive review

    Materials Today Physics · 2025-07-16

    Surabhi Suresh Nair, Nirpendra Singh

    Read original paper ↗ ·

  34. Planar negative thermal expansion in the layered hybrid network material ZnB 2 ( CN ) 8

    Physical review. B./Physical review. B · 2025-11-19

    Junbiao Guo, Guanqun Cai, Kaiyue Zhao, Ben Durham, Keith Refson, Martin T Dove

    Read original paper ↗ ·
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