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...
Gespeichert in:
Veröffentlicht in: | Acta crystallographica. Section B, Structural science Structural science, 2006-04, Vol.62 (2), p.335-337 |
---|---|
1. Verfasser: | |
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 & 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&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 & 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 & 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 |