小谷 元子

研究成果

年別の研究成果 1985 2001 2014 2015 2016 2017 2021 2022 2023

• 46 Article
• 1 Editorial

年別の研究成果

年別の研究成果

検索結果

• 2023

  Edge-Site-Free and Topological-Defect-Rich Carbon Cathode for High-Performance Lithium-Oxygen Batteries

  Yu, W., Yoshii, T., Aziz, A., Tang, R., Pan, Z. Z., Inoue, K., Kotani, M., Tanaka, H., Scholtzová, E., Tunega, D., Nishina, Y., Nishioka, K., Nakanishi, S., Zhou, Y., Terasaki, O. & Nishihara, H., 2023, (Accepted/In press) In: Advanced Science.

  研究成果: Article › 査読

  Open Access

  • Lithium 100%
  • Carbon 83%
  • Defects 66%
  • Cathode 66%
  • Defect 66%
  1 被引用数 (Scopus)
• 2022

  Capacitance of edge-free three-dimensional graphene: New perspectives on the design of carbon structures for supercapacitor applications

  Tang, R., Nomura, K., Inoue, K., Kotani, M., Kyotani, T. & Nishihara, H., 2022 10月 10, In: Electrochimica Acta. 429, 141009.

  研究成果: Article › 査読

  • Graphene 100%
  • Supercapacitors 80%
  • Capacitance 60%
  • Material 60%
  • Carbon Material 40%
  2 被引用数 (Scopus)

• Coexistence of Urbach-Tail-Like Localized States and Metallic Conduction Channels in Nitrogen-Doped 3D Curved Graphene

  Tanabe, Y., Ito, Y., Sugawara, K., Jeong, S., Ohto, T., Nishiuchi, T., Kawada, N., Kimura, S., Aleman, C. F., Takahashi, T., Kotani, M. & Chen, M., 2022 12月 22, In: Advanced Materials. 34, 51, 2205986.

  研究成果: Article › 査読

  • Graphene 100%
  • Electrocatalysis 44%
  • Electronic State 22%
  • Nitrogen 22%
  • Doping Material 22%

• CONSTRUCTION OF CONTINUUM FROM A DISCRETE SURFACE BY ITS ITERATED SUBDIVISIONS

  Kotani, M., Naito, H. & Tao, C., 2022, In: Tohoku Mathematical Journal. 74, 2, p. 229-252 24 p.

  研究成果: Article › 査読

  • Continuum 100%
  • Vertex 66%
  • Geometric Object 33%
  • Limit Set 33%
  • Dimensional Euclidean Space 33%
• 2021

  3D arrangement of atomic polyhedra in tilt grain boundaries

  Inoue, K., Kawahara, K., Saito, M., Kotani, M. & Ikuhara, Y., 2021 1月 1, In: Acta Materialia. 202, p. 266-276 11 p.

  研究成果: Article › 査読

  Open Access

  • Grain Boundaries 100%
  • Grain Boundary 100%
  • Polyhedron 21%
  • Atomic Structure 14%
  • Region 14%
  5 被引用数 (Scopus)

• Arrangement of polyhedral units for [0001]-symmetrical tilt grain boundaries in zinc oxide

  Inoue, K., Roh, J. Y., Kawahara, K., Saito, M., Kotani, M. & Ikuhara, Y., 2021 6月 15, In: Acta Materialia. 212, 116864.

  研究成果: Article › 査読

  • Grain Boundaries 100%
  • Grain Boundary 100%
  • ZnO 50%
  • Atomic Structure 33%
  • Rigid Structure 33%
  1 被引用数 (Scopus)

• Geometric model of 3D curved graphene with chemical dopants

  Dechant, A., Ohto, T., Ito, Y., Makarova, M. V., Kawabe, Y., Agari, T., Kumai, H., Takahashi, Y., Naito, H. & Kotani, M., 2021 9月, In: Carbon. 182, p. 223-232 10 p.

  研究成果: Article › 査読

  Open Access

  • Carbon 100%
  • Doping Material 50%
  • Heteroatom 50%
  • Structure 50%
  • Doping 50%
  3 被引用数 (Scopus)
• 2020

  A nitrogen-doped nanotube molecule with atom vacancy defects

  Ikemoto, K., Yang, S., Naito, H., Kotani, M., Sato, S. & Isobe, H., 2020 12月 1, In: Nature communications. 11, 1, 1807.

  研究成果: Article › 査読

  Open Access

  • Nitrogen Atom 100%
  • Pyridine 50%
  • Molecule 50%
  • Atom 50%
  • Multipole 50%
  34 被引用数 (Scopus)

• Recoverably and destructively deformed domain structures in elongation process of thermoplastic elastomer analyzed by graph theory

  Morita, H., Miyamoto, A. & Kotani, M., 2020 2月 3, In: Polymer. 188, 122098.

  研究成果: Article › 査読

  Open Access

  • Structure 100%
  • Thermoplastic Elastomer 60%
  • Procedure 50%
  • Molecular Dynamics 20%
  • Coalescence 10%
  12 被引用数 (Scopus)
• 2019

  Phase separation dynamics of a binary fluid with a closed-loop phase diagram

  Toda, M., Kajimoto, S., Toyouchi, S., Kawakatsu, T., Akama, Y., Kotani, M. & Fukumura, H., 2019, In: journal of the physical society of japan. 88, 2, 024007.

  研究成果: Article › 査読

  • Spinodal Decomposition 100%
  • Binary Fluid 100%
  • Closed Loop 75%
  • Phase Separation 75%
  • Critical Point 75%
• 2018

  Time-Resolved Structured Illumination Microscopy for Phase Separation Dynamics of Water and 2-Butoxyethanol Mixtures: Interpretation of "early Stage" Involving Micelle-Like Structures

  Toyouchi, S., Kajimoto, S., Toda, M., Fukumura, H., Kawakatsu, T., Akama, Y. & Kotani, M., 2018 12月 27, In: Journal of Physical Chemistry B. 122, 51, p. 12375-12385 11 p.

  研究成果: Article › 査読

  • Illumination 100%
  • Phase Separation 100%
  • Microscopy 100%
  • Time 100%
  • Growth 75%
  3 被引用数 (Scopus)
• 2017

  A discrete surface theory

  Kotani, M., Naito, H. & Omori, T., 2017 11月, In: Computer Aided Geometric Design. 58, p. 24-54 31 p.

  研究成果: Article › 査読

  • Smooth Surface 100%
  • Discretization 50%
  • Dimensional Euclidean Space 50%
  • Mean Curvature 50%
  • Graph 50%
  7 被引用数 (Scopus)

• Long time asymptotics of non-symmetric random walks on crystal lattices

  Ishiwata, S., Kawabi, H. & Kotani, M., 2017 2月 15, In: Journal of Functional Analysis. 272, 4, p. 1553-1624 72 p.

  研究成果: Article › 査読

  • Symmetric Random Walk 100%
  • Random Walks 100%
  • Central Limit Theorem 80%
  • Lattices 80%
  • Asymptotics 60%
  6 被引用数 (Scopus)

• Structure of ⟨ 110 ⟩ -tilt boundaries in cubic zirconia

  Inoue, K., Feng, B., Shibata, N., Kotani, M. & Ikuhara, Y., 2017 4月 1, In: Journal of Materials Science. 52, 8, p. 4278-4287 10 p.

  研究成果: Article › 査読

  • Grain Boundary 100%
  • Scanning Transmission Electron Microscopy 50%
  3 被引用数 (Scopus)
• 2016

  Materials inspired by mathematics

  Kotani, M. & Ikeda, S., 2016 1月 1, In: Science and Technology of Advanced Materials. 17, 1, p. 253-259 7 p.

  研究成果: Article › 査読

  Open Access

  • Mathematics 100%
  • Materials 100%
  • Expectations 100%
  • Materials Engineering 66%
  • Grammar 66%
  12 被引用数 (Scopus)

• Mathematical analysis and STEM observations of arrangement of structural units in 〈001〉 symmetrical tilt grain boundaries

  Inoue, K., Saito, M., Chien, C., Kotani, M. & Ikuhara, Y., 2016 12月 1, In: Microscopy. 65, 6, p. 479-487 9 p.

  研究成果: Article › 査読

  • Scanning Transmission Electron Microscopy 100%
  • Grain Boundary 66%
  • Grain Boundaries 66%
  • Oxide 33%
  • Atom 33%
  7 被引用数 (Scopus)

• Phase behavior of a binary fluid mixture of quadrupolar molecules

  Toda, M., Kajimoto, S., Toyouchi, S., Kawakatsu, T., Akama, Y., Kotani, M. & Fukumura, H., 2016, In: Physical Review E. 94, 5, 052601.

  研究成果: Article › 査読

  • Molecules 100%
  • Molecule 100%
  • Region 80%
  • Coexistence 60%
  • Binary Fluid 40%
  4 被引用数 (Scopus)

• Preface

  Nishiura, Y. & Kotani, M., 2016, In: Springer Proceedings in Mathematics and Statistics. 166, p. v

  研究成果: Editorial › 査読

• Stereoisomerism, crystal structures, and dynamics of belt-shaped cyclonaphthylenes

  Sun, Z., Suenaga, T., Sarkar, P., Sato, S., Kotani, M. & Isobe, H., 2016 7月 19, In: Proceedings of the National Academy of Sciences of the United States of America. 113, 29, p. 8109-8114 6 p.

  研究成果: Article › 査読

  Open Access

  • Belt 100%
  • Dynamics 60%
  • Molecular Structure 40%
  • Structure 40%
  • Procedure 40%
  61 被引用数 (Scopus)

• Stereoisomerism in nanohoops with heterogeneous biaryl linkages of E/Z- and R/S-geometries

  Sarkar, P., Sun, Z., Tokuhira, T., Kotani, M., Sato, S. & Isobe, H., 2016 10月 26, In: ACS Central Science. 2, 10, p. 740-747 8 p.

  研究成果: Article › 査読

  Open Access

  • R 100%
  • Biphenyl 33%
  • Chirality 33%
  • Structure 33%
  • Shape 16%
  32 被引用数 (Scopus)
• 2015

  On the periodicity of {001} symmetrical tilt grain boundaries

  Inoue, K., Saito, M., Wang, Z., Kotani, M. & Ikuhara, Y., 2015, In: Materials Transactions. 56, 3, p. 281-287 7 p.

  研究成果: Article › 査読

  • Grain Boundaries 100%
  • Periodic Variation 50%
  • Decomposition 25%
  • Rotation 25%
  • Model 25%
  9 被引用数 (Scopus)

• The decomposition formula of 001 symmetrical tilt grain boundaries

  Inoue, K., Saito, M., Wang, Z., Kotani, M. & Ikuhara, Y., 2015, In: Materials Transactions. 56, 12, p. 1945-1952 8 p.

  研究成果: Article › 査読

  Open Access

  • Decomposition 100%
  • Grain Boundaries 100%
  • Grain Boundary 100%
  • Algorithms 50%
  • Boundaries 50%
  6 被引用数 (Scopus)

• Visualization of topological landscape in shear-flow dynamics of amorphous solids

  Fujita, T., Ohara, K., Miura, K., Hirata, A., Kotani, M., Nishiura, Y. & Chen, M., 2015 5月 1, In: EPL. 110, 3, 38002.

  研究成果: Article › 査読

  • Networks 100%
  • Potential Energy 50%
  • Model 50%
  • Deformation 25%
  • Metallic Glass 25%
  1 被引用数 (Scopus)
• 2014

  Geometric measures of finite carbon nanotube molecules: A proposal for length index and filling indexes

  Matsuno, T., Naito, H., Hitosugi, S., Sato, S., Kotani, M. & Isobe, H., 2014 4月 17, In: Pure and Applied Chemistry. 86, 4, p. 489-495 7 p.

  研究成果: Article › 査読

  • Descriptor 100%
  • Molecules 100%
  • Measurer 50%
  • Finite Nanotube 50%
  • Fields 25%
  38 被引用数 (Scopus)

• Mesoscopic dynamics of laser-induced phase separation in water and 2-butoxyethanol mixtures revealed by nanosecond time-resolved light scattering

  Toyouchi, S., Kajimoto, S., Toda, M., Kawakatsu, T., Akama, Y., Kotani, M. & Fukumura, H., 2014, In: Chemistry Letters. 43, 12, p. 1838-1840 3 p.

  研究成果: Article › 査読

  • Mixture 100%
  • Phase Separation 75%
  • Light Scattering 75%
  • Time 75%
  • 2-Butoxyethanol 50%
  1 被引用数 (Scopus)

• Negatively curved cubic carbon crystals with octahedral symmetry

  Tagami, M., Liang, Y., Naito, H., Kawazoe, Y. & Kotani, M., 2014 9月, In: Carbon. 76, p. 266-274 9 p.

  研究成果: Article › 査読

  • Carbon 100%
  • Structure 100%
  • Symmetry 60%
  • Crystal 60%
  • Crystalline Material 60%
  41 被引用数 (Scopus)

• Quantization of interface currents

  Kotani, M., Schulz-Baldes, H. & Villegas-Blas, C., 2014 12月 18, In: Journal of Mathematical Physics. 55, 12, 121901.

  研究成果: Article › 査読

  • Spin 100%
  • Quantization 50%
  • Differences 50%
  8 被引用数 (Scopus)
• 2013

  Geometric frustration of icosahedron in metallic glasses

  Hirata, A., Kang, L. J., Fujita, T., Klumov, B., Matsue, K., Kotani, M., Yavari, A. R. & Chen, M. W., 2013, In: Science. 341, 6144, p. 376-379 4 p.

  研究成果: Article › 査読

  • Metallic Glass 100%
  • Symmetry 25%
  • Face-Centered Cubic Crystal System 25%
  • Liquid 25%
  • Electron Diffraction 25%
  326 被引用数 (Scopus)
• 2012

  New growth mechanism of cubic Rh clusters composed of 8-12 atoms found by the method of Euclidean Designs

  Tagami, M., Liang, Y., Kawazoe, Y. & Kotani, M., 2012, In: Materials Transactions. 53, 3, p. 459-462 4 p.

  研究成果: Article › 査読

  • Atom 100%
  • Structure 80%
  • Cubic Crystal 40%
  • Procedure 40%
  • Reaction Mechanism 40%
  2 被引用数 (Scopus)
• 2009

  New metallic carbon crystal

  Itoh, M., Kotani, M., Naito, H., Sunada, T., Kawazoe, Y. & Adschiri, T., 2009 2月 2, In: Physical review letters. 102, 5, 055703.

  研究成果: Article › 査読

  • Crystal 100%
  • Crystalline Material 100%
  • Crystals 100%
  • Carbon 80%
  • Graphite 20%
  107 被引用数 (Scopus)
• 2006

  Large deviation and the tangent cone at infinity of a crystal lattice

  Kotani, M. & Sunada, T., 2006 12月 1, In: Mathematische Zeitschrift. 254, 4, p. 837-870 34 p.

  研究成果: Article › 査読

  • Lattices 100%
  • Large Deviations 66%
  • Geometry 33%
  • Finite Graph 33%
  • Hausdorff 33%
  19 被引用数 (Scopus)
• 2003

  Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice

  Kotani, M., 2003 8月, In: Journal of Geometry and Physics. 47, 2-3, p. 323-342 20 p.

  研究成果: Article › 査読

  • Operators 100%
  • Crystal Lattice 66%
  • Spectra 66%
  • Lipschitz Continuity 66%
  • Magnetic Field 33%
  4 被引用数 (Scopus)
• 2002

  A central limit theorem for magnetic transition operators on a crystal lattice

  Kotani, M., 2002, In: Journal of the London Mathematical Society. 65, 2, p. 464-482 19 p.

  研究成果: Article › 査読

  • Operators 100%
  • Lattices 75%
  • Central Limit Theorem 50%
  • Euclidean Space 25%
  • Vector Potential 25%
  4 被引用数 (Scopus)
• 2001

  A note on asymptotic expansions for closed geodesics in homology classes

  Kotani, M., 2001 1月 1, In: Mathematische Annalen. 320, 3, p. 507-529 23 p.

  研究成果: Article › 査読

  • Homology Class 100%
  • Asymptotic Expansion 66%
  • Manifold 33%
  • Dominant Term 33%
  • Geodesic Flow 33%
  4 被引用数 (Scopus)

• Standard realizations of crystal lattices via harmonic maps

  Kotani, M. & Sunada, T., 2001, In: Transactions of the American Mathematical Society. 353, 1, p. 1-20 20 p.

  研究成果: Article › 査読

  Open Access

  • Crystal 100%
  • Crystals 100%
  • Harmonic Map 100%
  • Theorem 50%
  • Symmetry 50%
  30 被引用数 (Scopus)

• The pressure and higher correlations for an Anosov diffeomorphism

  Kotani, M. & Sunada, T., 2001 6月 1, In: Ergodic Theory and Dynamical Systems. 21, 3, p. 807-821 15 p.

  研究成果: Article › 査読

  • Correlation Function 100%
  • Smooth Function 100%
  • Variables 100%
  • Correlation 100%
  • Anosov Diffeomorphism 100%
  4 被引用数 (Scopus)
• 2000

  Albanese maps and off diagonal long time asymptotics for the heat kernel

  Kotani, M. & Sunada, T., 2000 1月 1, In: Communications in Mathematical Physics. 209, 3, p. 633-670 38 p.

  研究成果: Article › 査読

  • Asymptotics 100%
  • Heat Kernel 60%
  • Lattices 40%
  • Graph 40%
  • Central Limit Theorem 20%
  25 被引用数 (Scopus)

• Jacobian tori associated with a finite graph and its abelian covering graphs

  Kotani, M. & Sunada, T., 2000 2月, In: Advances in Applied Mathematics. 24, 2, p. 89-110 22 p.

  研究成果: Article › 査読

  • Torus 100%
  • Jacobian 75%
  • Finite Graph 50%
  • Graph 25%
  • Graph Theory 25%
  25 被引用数 (Scopus)
• 1998

  Asymptotic Behavior of the Transition Probability of a Random Walk on an Infinite Graph

  Kotani, M., Shirai, T. & Sunada, T., 1998 11月 10, In: Journal of Functional Analysis. 159, 2, p. 664-689 26 p.

  研究成果: Article › 査読

  • Random Walks 100%
  • Asymptotics 50%
  • Geometry 50%
  • Asymptotic Property 50%
  • Transition Probability 50%
  21 被引用数 (Scopus)
• 1997

  Harmonic 2-spheres with r pairs of extra eigenfunctions

  Kotani, M., 1997, In: Proceedings of the American Mathematical Society. 125, 7, p. 2083-2092 10 p.

  研究成果: Article › 査読

  Open Access

  • Deformation 100%
  • Harmonics 100%
  • Sphere 100%
  • Map 66%
  • Paper 33%
  4 被引用数 (Scopus)
• 1994

  Connectedness of the space of minimal 2-spheres in S^2m(l)

  Kotani, M., 1994 3月, In: Proceedings of the American Mathematical Society. 120, 3, p. 803-810 8 p.

  研究成果: Article › 査読

  • Sphere 100%
  • Meromorphic Function 33%
  2 被引用数 (Scopus)

• On the fundamental group of the space of harmonic 2-spheres in the n-sphere

  Furuta, M., Guest, M. A., Kotani, M. & Ohnita, Y., 1994 1月 1, In: Mathematische Zeitschrift. 215, 1, p. 503-518 16 p.

  研究成果: Article › 査読
  13 被引用数 (Scopus)
• 1993

  Index and flat ends of minimal surfaces

  Ejiri, N. & Kotani, M., 1993 6月, In: Tokyo Journal of Mathematics. 16, 1, p. 37-48 12 p.

  研究成果: Article › 査読
  20 被引用数 (Scopus)
• 1992

  Minimal surfaces in s^2m(1) with extra eigenfunctions

  Ejiri, N. & Kotani, M., 1992 12月, In: Quarterly Journal of Mathematics. 43, 4, p. 421-440 20 p.

  研究成果: Article › 査読
• 1990

  A decomposition theorem of 2-type immersions

  Kotani, M., 1990 6月, In: Nagoya Mathematical Journal. 118, p. 55-64 10 p.

  研究成果: Article › 査読
  1 被引用数 (Scopus)
• 1986

  An immersion of an n-dimensional real space form into an n-dimensional complex space form

  Kotani, M., 1986 6月, In: Tokyo Journal of Mathematics. 9, 1, p. 103-113 11 p.

  研究成果: Article › 査読
  2 被引用数 (Scopus)
• 1985

  The first eigenvalue of homogeneous minimal hypersurfaces in a unit sphere Sⁿ⁺¹ (1)

  Kotani, M., 1985 12月, In: Tohoku Mathematical Journal. 37, 4, p. 523-532 10 p.

  研究成果: Article › 査読
  3 被引用数 (Scopus)