Author: Hisashi Naito
Publisher: Springer Nature
ISBN: 9819957699
Category : Mathematics
Languages : en
Pages : 113
Book Description
This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature. In this regard, the topological crystallography founded by Kotani and Sunada is explained by using many examples. Carbon structures such as fullerenes are considered as trivalent discrete surfaces from the viewpoint of discrete geometric analysis. Discrete surface theories usually have been considered discretization of smooth surfaces. Here, consideration is given to discrete surfaces modeled by crystal/molecular structures, which are essentially discrete objects.
Trivalent Discrete Surfaces and Carbon Structures
Author: Hisashi Naito
Publisher: Springer Nature
ISBN: 9819957699
Category : Mathematics
Languages : en
Pages : 113
Book Description
This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature. In this regard, the topological crystallography founded by Kotani and Sunada is explained by using many examples. Carbon structures such as fullerenes are considered as trivalent discrete surfaces from the viewpoint of discrete geometric analysis. Discrete surface theories usually have been considered discretization of smooth surfaces. Here, consideration is given to discrete surfaces modeled by crystal/molecular structures, which are essentially discrete objects.
Publisher: Springer Nature
ISBN: 9819957699
Category : Mathematics
Languages : en
Pages : 113
Book Description
This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature. In this regard, the topological crystallography founded by Kotani and Sunada is explained by using many examples. Carbon structures such as fullerenes are considered as trivalent discrete surfaces from the viewpoint of discrete geometric analysis. Discrete surface theories usually have been considered discretization of smooth surfaces. Here, consideration is given to discrete surfaces modeled by crystal/molecular structures, which are essentially discrete objects.
Mathematical Challenges in a New Phase of Materials Science
Author: Yasumasa Nishiura
Publisher: Springer
ISBN: 4431561048
Category : Mathematics
Languages : en
Pages : 164
Book Description
This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics. These papers highlight the strong interaction between mathematics and materials science and also reflect the activity of WPI-AIMR at Tohoku University, in which collaborations between mathematicians and experimentalists are actively ongoing.
Publisher: Springer
ISBN: 4431561048
Category : Mathematics
Languages : en
Pages : 164
Book Description
This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics. These papers highlight the strong interaction between mathematics and materials science and also reflect the activity of WPI-AIMR at Tohoku University, in which collaborations between mathematicians and experimentalists are actively ongoing.
Nanostructures
Author: Mircea V. Diudea
Publisher: Nova Publishers
ISBN: 9781594544996
Category : Science
Languages : en
Pages : 436
Book Description
Novel carbon allotropes, such as spherical fullerenes and nanotubes, have been added, in the last three decades, to the traditionally recognised diamond and graphite. Although fullerene C60 has been speculated about for a long time. A fullerene is, according to a classical definition, an all-carbon molecule consisting entirely of pentagons (exactly 12) and hexagons (n/2-10). Non-classical fullerene extensions to include rings of other sizes have been considered. Fullerenes are commonly synthesised by arc-discharge or laser ablation methods. Spherical fullerenes became nowadays parts of real chemistry: they can be functionalised or inserted in supramolecular assemblies.
Publisher: Nova Publishers
ISBN: 9781594544996
Category : Science
Languages : en
Pages : 436
Book Description
Novel carbon allotropes, such as spherical fullerenes and nanotubes, have been added, in the last three decades, to the traditionally recognised diamond and graphite. Although fullerene C60 has been speculated about for a long time. A fullerene is, according to a classical definition, an all-carbon molecule consisting entirely of pentagons (exactly 12) and hexagons (n/2-10). Non-classical fullerene extensions to include rings of other sizes have been considered. Fullerenes are commonly synthesised by arc-discharge or laser ablation methods. Spherical fullerenes became nowadays parts of real chemistry: they can be functionalised or inserted in supramolecular assemblies.
Graphs and Discovery
Author: Siemion Fajtlowicz
Publisher: American Mathematical Soc.
ISBN: 9780821837610
Category : Mathematics
Languages : en
Pages : 388
Book Description
In this collection from the working group meeting of November 2001, contributors formulate problems, share ideas and approaches, and plan an agenda for future interactions. Their fields included theoretical and applied computer science, statistics, discrete and non-discrete mathematics, chemistry and information science, and the topics centered on
Publisher: American Mathematical Soc.
ISBN: 9780821837610
Category : Mathematics
Languages : en
Pages : 388
Book Description
In this collection from the working group meeting of November 2001, contributors formulate problems, share ideas and approaches, and plan an agenda for future interactions. Their fields included theoretical and applied computer science, statistics, discrete and non-discrete mathematics, chemistry and information science, and the topics centered on
Official Gazette of the United States Patent Office
Author: United States. Patent Office
Publisher:
ISBN:
Category : Patents
Languages : en
Pages : 2036
Book Description
Publisher:
ISBN:
Category : Patents
Languages : en
Pages : 2036
Book Description
Plating and Surface Finishing
Author:
Publisher:
ISBN:
Category : Electroplating
Languages : en
Pages : 558
Book Description
Publisher:
ISBN:
Category : Electroplating
Languages : en
Pages : 558
Book Description
Geometric Structure of Chemistry-Relevant Graphs
Author: Michel-Marie Deza
Publisher: Springer
ISBN: 8132224493
Category : Mathematics
Languages : en
Pages : 220
Book Description
The central theme of the present book is zigzags and central-circuits of three- or four-regular plane graphs, which allow a double covering or covering of the edgeset to be obtained. The book presents zigzag and central circuit structures of geometric fullerenes and several other classes of graph of interest in the fields of chemistry and mathematics. It also discusses the symmetries, parameterization and the Goldberg–Coxeter construction for those graphs. It is the first book on this subject, presenting full structure theory of such graphs. While many previous publications only addressed particular questions about selected graphs, this book is based on numerous computations and presents extensive data (tables and figures), as well as algorithmic and computational information. It will be of interest to researchers and students of discrete geometry, mathematical chemistry and combinatorics, as well as to lay mathematicians.
Publisher: Springer
ISBN: 8132224493
Category : Mathematics
Languages : en
Pages : 220
Book Description
The central theme of the present book is zigzags and central-circuits of three- or four-regular plane graphs, which allow a double covering or covering of the edgeset to be obtained. The book presents zigzag and central circuit structures of geometric fullerenes and several other classes of graph of interest in the fields of chemistry and mathematics. It also discusses the symmetries, parameterization and the Goldberg–Coxeter construction for those graphs. It is the first book on this subject, presenting full structure theory of such graphs. While many previous publications only addressed particular questions about selected graphs, this book is based on numerous computations and presents extensive data (tables and figures), as well as algorithmic and computational information. It will be of interest to researchers and students of discrete geometry, mathematical chemistry and combinatorics, as well as to lay mathematicians.
Science of Ceramic Interfaces II
Author: J. Nowotny
Publisher: Newnes
ISBN: 0080544940
Category : Technology & Engineering
Languages : en
Pages : 707
Book Description
This collection of papers arose from the Proceedings of the International Workshop on Interfaces of Ceramic Materials held in Australia, 1993 and is a continuation of the previous book published under the same title. The objective of the Workshop was to discuss research progress on the chemistry of ceramic interfaces and related industrial aspects. Due to the multidisciplinary character of ceramic interfaces the book contains articles covering several areas of expertise, including ceramics, surface science, solid state electrochemistry, metallurgy and high temperature chemistry. Some technical papers are also included in this volume.Scientists and engineers working in these areas, as well as students in materials science and engineering, will find this book of particular significance.
Publisher: Newnes
ISBN: 0080544940
Category : Technology & Engineering
Languages : en
Pages : 707
Book Description
This collection of papers arose from the Proceedings of the International Workshop on Interfaces of Ceramic Materials held in Australia, 1993 and is a continuation of the previous book published under the same title. The objective of the Workshop was to discuss research progress on the chemistry of ceramic interfaces and related industrial aspects. Due to the multidisciplinary character of ceramic interfaces the book contains articles covering several areas of expertise, including ceramics, surface science, solid state electrochemistry, metallurgy and high temperature chemistry. Some technical papers are also included in this volume.Scientists and engineers working in these areas, as well as students in materials science and engineering, will find this book of particular significance.
Scientific and Technical Aerospace Reports
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 456
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 456
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Official Gazette of the United States Patent and Trademark Office
Author:
Publisher:
ISBN:
Category : Patents
Languages : en
Pages : 864
Book Description
Publisher:
ISBN:
Category : Patents
Languages : en
Pages : 864
Book Description