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Plane and Frieze Symmetry Group Determination for Educational Purposes

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Title: Plane and Frieze Symmetry Group Determination for Educational Purposes
Language: English
Authors: Duda, Michal (ORCID 0000-0001-5186-6435), Rafalska-Lasocha, Alicja, Lasocha, Wieslaw (ORCID 0000-0001-7083-1860)
Source: Journal of Chemical Education. Aug 2020 97(8):2169-2174.
Availability: Division of Chemical Education, Inc. and ACS Publications Division of the American Chemical Society. 1155 Sixteenth Street NW, Washington, DC 20036. Tel: 800-227-5558; Tel: 202-872-4600; e-mail: eic@jce.acs.org; Web site: http://pubs.acs.org/jchemeduc
Peer Reviewed: Y
Page Count: 6
Publication Date: 2020
Intended Audience: Teachers
Document Type: Journal Articles
Reports - Descriptive
Education Level: Higher Education
Postsecondary Education
Descriptors: Undergraduate Students, Geometric Concepts, Inorganic Chemistry, Science Instruction, Teaching Methods, Hands on Science
DOI: 10.1021/acs.jchemed.0c00093?ref=pdf
ISSN: 0021-9584
Abstract: Three-dimensional symmetry plays a crucial role in crystallography education. The educational process can be facilitated by introducing the analysis of friezes and plane patterns such as parquets before presenting more sophisticated crystal structures. Analysis of the symmetry of parquets can serve as an opportunity to follow the full routine of finding symmetry group symbols through incorporation of a two-step procedure involving the determination of Bravais lattice type. The aim of this paper is to provide a simple description of the analysis of Bravais lattices and pattern symmetry that can be used by students as well as crystallography educators. The procedure is also summarized in the form of comprehensive tree charts. This form is easy to use and popular with students. It may also aid in the retention of certain facts concerning crystallographic methodology. Examples of patterns in frieze and parquet forms were taken from the interiors of Kórnik Castle (Poland), which exhibit Moorish-style ornamentation including dichroic patterns and constitute an important locus of cultural heritage capable of strengthening students' motivation.
Abstractor: As Provided
Entry Date: 2020
Accession Number: EJ1269284
Database: ERIC
FullText Text:
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  Data: Plane and Frieze Symmetry Group Determination for Educational Purposes
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  Data: <searchLink fieldCode="AR" term="%22Duda%2C+Michal%22">Duda, Michal</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0001-5186-6435">0000-0001-5186-6435</externalLink>)<br /><searchLink fieldCode="AR" term="%22Rafalska-Lasocha%2C+Alicja%22">Rafalska-Lasocha, Alicja</searchLink><br /><searchLink fieldCode="AR" term="%22Lasocha%2C+Wieslaw%22">Lasocha, Wieslaw</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0001-7083-1860">0000-0001-7083-1860</externalLink>)
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  Data: Division of Chemical Education, Inc. and ACS Publications Division of the American Chemical Society. 1155 Sixteenth Street NW, Washington, DC 20036. Tel: 800-227-5558; Tel: 202-872-4600; e-mail: eic@jce.acs.org; Web site: http://pubs.acs.org/jchemeduc
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  Data: 6
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  Data: <searchLink fieldCode="DE" term="%22Undergraduate+Students%22">Undergraduate Students</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+Concepts%22">Geometric Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Inorganic+Chemistry%22">Inorganic Chemistry</searchLink><br /><searchLink fieldCode="DE" term="%22Science+Instruction%22">Science Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Teaching+Methods%22">Teaching Methods</searchLink><br /><searchLink fieldCode="DE" term="%22Hands+on+Science%22">Hands on Science</searchLink>
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  Data: 10.1021/acs.jchemed.0c00093?ref=pdf
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  Data: Three-dimensional symmetry plays a crucial role in crystallography education. The educational process can be facilitated by introducing the analysis of friezes and plane patterns such as parquets before presenting more sophisticated crystal structures. Analysis of the symmetry of parquets can serve as an opportunity to follow the full routine of finding symmetry group symbols through incorporation of a two-step procedure involving the determination of Bravais lattice type. The aim of this paper is to provide a simple description of the analysis of Bravais lattices and pattern symmetry that can be used by students as well as crystallography educators. The procedure is also summarized in the form of comprehensive tree charts. This form is easy to use and popular with students. It may also aid in the retention of certain facts concerning crystallographic methodology. Examples of patterns in frieze and parquet forms were taken from the interiors of Kórnik Castle (Poland), which exhibit Moorish-style ornamentation including dichroic patterns and constitute an important locus of cultural heritage capable of strengthening students' motivation.
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      – Text: English
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        Type: general
      – SubjectFull: Geometric Concepts
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      – SubjectFull: Inorganic Chemistry
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      – SubjectFull: Science Instruction
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      – SubjectFull: Teaching Methods
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      – SubjectFull: Hands on Science
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            NameFull: Rafalska-Lasocha, Alicja
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            NameFull: Lasocha, Wieslaw
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