Crystal chemical information to be obtained from the bond-number equality concept

Based on the bond‐number equality concept an equation is derived for anion complexes of normal valence compounds with triangularly and/or tetrahedrally coordinated central atoms and anions having one, two, three and four bonds to central atoms: %Δ = 4 − (n/m′) × [2 − %A[1] + %A[3] + 2 × %A[4]]. %Δ i...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta crystallographica. Section B, Structural science Structural science, 2006-04, Vol.62 (2), p.335-337
1. Verfasser: PARTHE, Erwin
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 337
container_issue 2
container_start_page 335
container_title Acta crystallographica. Section B, Structural science
container_volume 62
creator PARTHE, Erwin
description Based on the bond‐number equality concept an equation is derived for anion complexes of normal valence compounds with triangularly and/or tetrahedrally coordinated central atoms and anions having one, two, three and four bonds to central atoms: %Δ = 4 − (n/m′) × [2 − %A[1] + %A[3] + 2 × %A[4]]. %Δ is the ratio of the number of central atoms with triangular anion coordination to the sum of all central atoms in the anion complex. n/m′ is the ratio of the number of all A anions to the number of all central atoms C′ in the anion complex. %A[1] is the ratio of the number of anions with one bond to a central atom to the sum of all anions in the anion complex. %A[3] and %A[4] are defined accordingly. The equation can be used to formulate the possible crystal chemical formulae, which are characterized by partitions of central atoms and anions according to their bond numbers. Nitridosilicates and selected oxoborates are treated as examples of applications of the equation.
doi_str_mv 10.1107/S0108768106003065
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_67770241</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>67770241</sourcerecordid><originalsourceid>FETCH-LOGICAL-c5139-f2d42f9e383d1abc2a58ef2752fc5b533c868c4600d139aae1a9cc6a95301b3b3</originalsourceid><addsrcrecordid>eNqFkE1v1DAQhi0EotvCD-CCLCR6C52J448c2xVtgYoPFYrgYjmOo7ok8dZOVPbf49WuWgkOnDzSPO945iHkBcIbRJBHl4CgpFAIAoCB4I_IAnNZcFnBY7LYtItNf4_sp3QDABUqeEr2UHBeolAL8mUZ12kyPbXXbvA2F37sQhzM5MNIp0AbR0MzGT-6lnYxDHS6drQJY1uM89C4SN3tbHo_rakNo3Wr6Rl50pk-uee794B8O337dXleXHw6e7c8vigsR1YXXdlWZVc7pliLprGl4cp1peRlZ3nDGbNKKFvla9qMG-PQ1NYKU3MG2LCGHZDD7dxVDLezS5MefLKu783owpy0kFJCWWEGX_0F3oQ5jnk3XQJDgULWGcItZGNIKbpOr6IfTFxrBL2Rrf-RnTMvd4PnZnDtQ2JnNwOvd4BJWW0XzWh9euCkkCgEy5zacne-d-v__6yPf5ycfACsNnsX26hPk_t9HzXxVxbAJNffP55pPMefl5_fX-kr9gdA36Uk</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>203161679</pqid></control><display><type>article</type><title>Crystal chemical information to be obtained from the bond-number equality concept</title><source>Wiley Online Library - AutoHoldings Journals</source><source>Free Full-Text Journals in Chemistry</source><creator>PARTHE, Erwin</creator><creatorcontrib>PARTHE, Erwin</creatorcontrib><description>Based on the bond‐number equality concept an equation is derived for anion complexes of normal valence compounds with triangularly and/or tetrahedrally coordinated central atoms and anions having one, two, three and four bonds to central atoms: %Δ = 4 − (n/m′) × [2 − %A[1] + %A[3] + 2 × %A[4]]. %Δ is the ratio of the number of central atoms with triangular anion coordination to the sum of all central atoms in the anion complex. n/m′ is the ratio of the number of all A anions to the number of all central atoms C′ in the anion complex. %A[1] is the ratio of the number of anions with one bond to a central atom to the sum of all anions in the anion complex. %A[3] and %A[4] are defined accordingly. The equation can be used to formulate the possible crystal chemical formulae, which are characterized by partitions of central atoms and anions according to their bond numbers. Nitridosilicates and selected oxoborates are treated as examples of applications of the equation.</description><identifier>ISSN: 0108-7681</identifier><identifier>ISSN: 2052-5192</identifier><identifier>EISSN: 1600-5740</identifier><identifier>EISSN: 2052-5206</identifier><identifier>DOI: 10.1107/S0108768106003065</identifier><identifier>PMID: 16552168</identifier><identifier>CODEN: ASBSDK</identifier><language>eng</language><publisher>5 Abbey Square, Chester, Cheshire CH1 2HU, England: Blackwell Publishing Ltd</publisher><subject>Atoms &amp; subatomic particles ; bond-number equality concept ; Condensed matter: structure, mechanical and thermal properties ; crystal chemical formula ; Crystalline state (including molecular motions in solids) ; Exact sciences and technology ; Hydrogen bonds ; Inorganic compounds ; Ions ; Physics ; Structure of solids and liquids; crystallography ; Structure of specific crystalline solids ; Theory of crystal structure, crystal symmetry; calculations and modeling ; Water, oxides, hydroxides, peroxides</subject><ispartof>Acta crystallographica. Section B, Structural science, 2006-04, Vol.62 (2), p.335-337</ispartof><rights>2006 INIST-CNRS</rights><rights>International Union of Crystallography, 2006</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c5139-f2d42f9e383d1abc2a58ef2752fc5b533c868c4600d139aae1a9cc6a95301b3b3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1107%2FS0108768106003065$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1107%2FS0108768106003065$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=17671663$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/16552168$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>PARTHE, Erwin</creatorcontrib><title>Crystal chemical information to be obtained from the bond-number equality concept</title><title>Acta crystallographica. Section B, Structural science</title><addtitle>Acta Cryst. B</addtitle><description>Based on the bond‐number equality concept an equation is derived for anion complexes of normal valence compounds with triangularly and/or tetrahedrally coordinated central atoms and anions having one, two, three and four bonds to central atoms: %Δ = 4 − (n/m′) × [2 − %A[1] + %A[3] + 2 × %A[4]]. %Δ is the ratio of the number of central atoms with triangular anion coordination to the sum of all central atoms in the anion complex. n/m′ is the ratio of the number of all A anions to the number of all central atoms C′ in the anion complex. %A[1] is the ratio of the number of anions with one bond to a central atom to the sum of all anions in the anion complex. %A[3] and %A[4] are defined accordingly. The equation can be used to formulate the possible crystal chemical formulae, which are characterized by partitions of central atoms and anions according to their bond numbers. Nitridosilicates and selected oxoborates are treated as examples of applications of the equation.</description><subject>Atoms &amp; subatomic particles</subject><subject>bond-number equality concept</subject><subject>Condensed matter: structure, mechanical and thermal properties</subject><subject>crystal chemical formula</subject><subject>Crystalline state (including molecular motions in solids)</subject><subject>Exact sciences and technology</subject><subject>Hydrogen bonds</subject><subject>Inorganic compounds</subject><subject>Ions</subject><subject>Physics</subject><subject>Structure of solids and liquids; crystallography</subject><subject>Structure of specific crystalline solids</subject><subject>Theory of crystal structure, crystal symmetry; calculations and modeling</subject><subject>Water, oxides, hydroxides, peroxides</subject><issn>0108-7681</issn><issn>2052-5192</issn><issn>1600-5740</issn><issn>2052-5206</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNqFkE1v1DAQhi0EotvCD-CCLCR6C52J448c2xVtgYoPFYrgYjmOo7ok8dZOVPbf49WuWgkOnDzSPO945iHkBcIbRJBHl4CgpFAIAoCB4I_IAnNZcFnBY7LYtItNf4_sp3QDABUqeEr2UHBeolAL8mUZ12kyPbXXbvA2F37sQhzM5MNIp0AbR0MzGT-6lnYxDHS6drQJY1uM89C4SN3tbHo_rakNo3Wr6Rl50pk-uee794B8O337dXleXHw6e7c8vigsR1YXXdlWZVc7pliLprGl4cp1peRlZ3nDGbNKKFvla9qMG-PQ1NYKU3MG2LCGHZDD7dxVDLezS5MefLKu783owpy0kFJCWWEGX_0F3oQ5jnk3XQJDgULWGcItZGNIKbpOr6IfTFxrBL2Rrf-RnTMvd4PnZnDtQ2JnNwOvd4BJWW0XzWh9euCkkCgEy5zacne-d-v__6yPf5ycfACsNnsX26hPk_t9HzXxVxbAJNffP55pPMefl5_fX-kr9gdA36Uk</recordid><startdate>200604</startdate><enddate>200604</enddate><creator>PARTHE, Erwin</creator><general>Blackwell Publishing Ltd</general><general>Blackwell</general><scope>BSCLL</scope><scope>IQODW</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>7X8</scope></search><sort><creationdate>200604</creationdate><title>Crystal chemical information to be obtained from the bond-number equality concept</title><author>PARTHE, Erwin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c5139-f2d42f9e383d1abc2a58ef2752fc5b533c868c4600d139aae1a9cc6a95301b3b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Atoms &amp; subatomic particles</topic><topic>bond-number equality concept</topic><topic>Condensed matter: structure, mechanical and thermal properties</topic><topic>crystal chemical formula</topic><topic>Crystalline state (including molecular motions in solids)</topic><topic>Exact sciences and technology</topic><topic>Hydrogen bonds</topic><topic>Inorganic compounds</topic><topic>Ions</topic><topic>Physics</topic><topic>Structure of solids and liquids; crystallography</topic><topic>Structure of specific crystalline solids</topic><topic>Theory of crystal structure, crystal symmetry; calculations and modeling</topic><topic>Water, oxides, hydroxides, peroxides</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>PARTHE, Erwin</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>MEDLINE - Academic</collection><jtitle>Acta crystallographica. Section B, Structural science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>PARTHE, Erwin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Crystal chemical information to be obtained from the bond-number equality concept</atitle><jtitle>Acta crystallographica. Section B, Structural science</jtitle><addtitle>Acta Cryst. B</addtitle><date>2006-04</date><risdate>2006</risdate><volume>62</volume><issue>2</issue><spage>335</spage><epage>337</epage><pages>335-337</pages><issn>0108-7681</issn><issn>2052-5192</issn><eissn>1600-5740</eissn><eissn>2052-5206</eissn><coden>ASBSDK</coden><abstract>Based on the bond‐number equality concept an equation is derived for anion complexes of normal valence compounds with triangularly and/or tetrahedrally coordinated central atoms and anions having one, two, three and four bonds to central atoms: %Δ = 4 − (n/m′) × [2 − %A[1] + %A[3] + 2 × %A[4]]. %Δ is the ratio of the number of central atoms with triangular anion coordination to the sum of all central atoms in the anion complex. n/m′ is the ratio of the number of all A anions to the number of all central atoms C′ in the anion complex. %A[1] is the ratio of the number of anions with one bond to a central atom to the sum of all anions in the anion complex. %A[3] and %A[4] are defined accordingly. The equation can be used to formulate the possible crystal chemical formulae, which are characterized by partitions of central atoms and anions according to their bond numbers. Nitridosilicates and selected oxoborates are treated as examples of applications of the equation.</abstract><cop>5 Abbey Square, Chester, Cheshire CH1 2HU, England</cop><pub>Blackwell Publishing Ltd</pub><pmid>16552168</pmid><doi>10.1107/S0108768106003065</doi><tpages>3</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0108-7681
ispartof Acta crystallographica. Section B, Structural science, 2006-04, Vol.62 (2), p.335-337
issn 0108-7681
2052-5192
1600-5740
2052-5206
language eng
recordid cdi_proquest_miscellaneous_67770241
source Wiley Online Library - AutoHoldings Journals; Free Full-Text Journals in Chemistry
subjects Atoms & subatomic particles
bond-number equality concept
Condensed matter: structure, mechanical and thermal properties
crystal chemical formula
Crystalline state (including molecular motions in solids)
Exact sciences and technology
Hydrogen bonds
Inorganic compounds
Ions
Physics
Structure of solids and liquids
crystallography
Structure of specific crystalline solids
Theory of crystal structure, crystal symmetry
calculations and modeling
Water, oxides, hydroxides, peroxides
title Crystal chemical information to be obtained from the bond-number equality concept
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-26T15%3A00%3A48IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Crystal%20chemical%20information%20to%20be%20obtained%20from%20the%20bond-number%20equality%20concept&rft.jtitle=Acta%20crystallographica.%20Section%20B,%20Structural%20science&rft.au=PARTHE,%20Erwin&rft.date=2006-04&rft.volume=62&rft.issue=2&rft.spage=335&rft.epage=337&rft.pages=335-337&rft.issn=0108-7681&rft.eissn=1600-5740&rft.coden=ASBSDK&rft_id=info:doi/10.1107/S0108768106003065&rft_dat=%3Cproquest_cross%3E67770241%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=203161679&rft_id=info:pmid/16552168&rfr_iscdi=true