Small-Angle Rayleigh Scattering by Relatively Large Latex Particles

According to the Rayleigh−Debye (RG) theory of light scattering, the intensity of forward scattering is proportional to the volume-squared of the scatterers, independent of their shape or orientation. This makes small-angle light scattering (SALS) attractive as a tool for studying the kinetics of fl...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Langmuir 1997-09, Vol.13 (18), p.4837-4842
Hauptverfasser: Ofoli, Robert Y, Prieve, Dennis C
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 4842
container_issue 18
container_start_page 4837
container_title Langmuir
container_volume 13
creator Ofoli, Robert Y
Prieve, Dennis C
description According to the Rayleigh−Debye (RG) theory of light scattering, the intensity of forward scattering is proportional to the volume-squared of the scatterers, independent of their shape or orientation. This makes small-angle light scattering (SALS) attractive as a tool for studying the kinetics of flocculation of model latexes, where the conformation of elemental particles in any floc is unknown. In preparation for such a study using a modified version of the apparatus of Lips and Willis (1973), we experimentally determine the limits under which SALS produced by a He−Ne laser can be used for sizing of monodisperse polystyrene latexes. For every particle in the sample volume to experience the same intensity of incident light (i.e. for negligible extinction), the particle concentration must be less than c max, where c max ld 6 = (1.08 ± 0.09) × 10-26 m4, l is the pathlength and d is the particle diameter. For c < c max, the scattering per particle at 2° is proportional to d 6 provided d is less than 1 μm, which is considerably larger than for scattering at larger angles. We speculate that the scattering by flocs will be proportional to the square of the number of elemental particles in dependent of their conformation provided the floc is also smaller than 1 μm.
doi_str_mv 10.1021/la970120t
format Article
fullrecord <record><control><sourceid>acs_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1021_la970120t</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>a480320107</sourcerecordid><originalsourceid>FETCH-LOGICAL-a324t-c401e64f358a119d6332c65821fe307692a85ac8d9ab30f4714b2261d64c001d3</originalsourceid><addsrcrecordid>eNptjz1PwzAQhi0EEqUw8A8ywMAQ8FfsZKwqvqQCVVOkbtbVcUKKmyLbIPLvMQrqxHI33HP33oPQOcHXBFNyY6GQmFAcDtCIZBSnWU7lIRphyVkquWDH6MT7Dca4YLwYoWm5BWvTSddYkyygt6Zt3pJSQwjGtV2TrPtkYSyE9svYPpmBa0yswXwnc3Ch1db4U3RUg_Xm7K-P0evd7XL6kM5e7h-nk1kKjPKQao6JEbxmWQ6EFJVgjGoR_yO1YViKgkKegc6rAtYM11wSvqZUkEpwjTGp2BhdDXe123nvTK0-XLsF1yuC1a-92ttH9mJgP8BrsLWDTrd-v0BjKiMiYumAtT4q7cfg3pWQTGZqOS_Vgqzkc5mt1FPkLwcetFeb3afrovA_8T-2AnMi</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Small-Angle Rayleigh Scattering by Relatively Large Latex Particles</title><source>ACS Publications</source><creator>Ofoli, Robert Y ; Prieve, Dennis C</creator><creatorcontrib>Ofoli, Robert Y ; Prieve, Dennis C</creatorcontrib><description>According to the Rayleigh−Debye (RG) theory of light scattering, the intensity of forward scattering is proportional to the volume-squared of the scatterers, independent of their shape or orientation. This makes small-angle light scattering (SALS) attractive as a tool for studying the kinetics of flocculation of model latexes, where the conformation of elemental particles in any floc is unknown. In preparation for such a study using a modified version of the apparatus of Lips and Willis (1973), we experimentally determine the limits under which SALS produced by a He−Ne laser can be used for sizing of monodisperse polystyrene latexes. For every particle in the sample volume to experience the same intensity of incident light (i.e. for negligible extinction), the particle concentration must be less than c max, where c max ld 6 = (1.08 ± 0.09) × 10-26 m4, l is the pathlength and d is the particle diameter. For c &lt; c max, the scattering per particle at 2° is proportional to d 6 provided d is less than 1 μm, which is considerably larger than for scattering at larger angles. We speculate that the scattering by flocs will be proportional to the square of the number of elemental particles in dependent of their conformation provided the floc is also smaller than 1 μm.</description><identifier>ISSN: 0743-7463</identifier><identifier>EISSN: 1520-5827</identifier><identifier>DOI: 10.1021/la970120t</identifier><identifier>CODEN: LANGD5</identifier><language>eng</language><publisher>Washington, DC: American Chemical Society</publisher><subject>Applied sciences ; Exact sciences and technology ; Organic polymers ; Physicochemistry of polymers ; Properties and characterization ; Solution and gel properties</subject><ispartof>Langmuir, 1997-09, Vol.13 (18), p.4837-4842</ispartof><rights>Copyright © 1997 American Chemical Society</rights><rights>1997 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a324t-c401e64f358a119d6332c65821fe307692a85ac8d9ab30f4714b2261d64c001d3</citedby><cites>FETCH-LOGICAL-a324t-c401e64f358a119d6332c65821fe307692a85ac8d9ab30f4714b2261d64c001d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://pubs.acs.org/doi/pdf/10.1021/la970120t$$EPDF$$P50$$Gacs$$H</linktopdf><linktohtml>$$Uhttps://pubs.acs.org/doi/10.1021/la970120t$$EHTML$$P50$$Gacs$$H</linktohtml><link.rule.ids>314,776,780,2752,27053,27901,27902,56713,56763</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=2821316$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Ofoli, Robert Y</creatorcontrib><creatorcontrib>Prieve, Dennis C</creatorcontrib><title>Small-Angle Rayleigh Scattering by Relatively Large Latex Particles</title><title>Langmuir</title><addtitle>Langmuir</addtitle><description>According to the Rayleigh−Debye (RG) theory of light scattering, the intensity of forward scattering is proportional to the volume-squared of the scatterers, independent of their shape or orientation. This makes small-angle light scattering (SALS) attractive as a tool for studying the kinetics of flocculation of model latexes, where the conformation of elemental particles in any floc is unknown. In preparation for such a study using a modified version of the apparatus of Lips and Willis (1973), we experimentally determine the limits under which SALS produced by a He−Ne laser can be used for sizing of monodisperse polystyrene latexes. For every particle in the sample volume to experience the same intensity of incident light (i.e. for negligible extinction), the particle concentration must be less than c max, where c max ld 6 = (1.08 ± 0.09) × 10-26 m4, l is the pathlength and d is the particle diameter. For c &lt; c max, the scattering per particle at 2° is proportional to d 6 provided d is less than 1 μm, which is considerably larger than for scattering at larger angles. We speculate that the scattering by flocs will be proportional to the square of the number of elemental particles in dependent of their conformation provided the floc is also smaller than 1 μm.</description><subject>Applied sciences</subject><subject>Exact sciences and technology</subject><subject>Organic polymers</subject><subject>Physicochemistry of polymers</subject><subject>Properties and characterization</subject><subject>Solution and gel properties</subject><issn>0743-7463</issn><issn>1520-5827</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><recordid>eNptjz1PwzAQhi0EEqUw8A8ywMAQ8FfsZKwqvqQCVVOkbtbVcUKKmyLbIPLvMQrqxHI33HP33oPQOcHXBFNyY6GQmFAcDtCIZBSnWU7lIRphyVkquWDH6MT7Dca4YLwYoWm5BWvTSddYkyygt6Zt3pJSQwjGtV2TrPtkYSyE9svYPpmBa0yswXwnc3Ch1db4U3RUg_Xm7K-P0evd7XL6kM5e7h-nk1kKjPKQao6JEbxmWQ6EFJVgjGoR_yO1YViKgkKegc6rAtYM11wSvqZUkEpwjTGp2BhdDXe123nvTK0-XLsF1yuC1a-92ttH9mJgP8BrsLWDTrd-v0BjKiMiYumAtT4q7cfg3pWQTGZqOS_Vgqzkc5mt1FPkLwcetFeb3afrovA_8T-2AnMi</recordid><startdate>19970903</startdate><enddate>19970903</enddate><creator>Ofoli, Robert Y</creator><creator>Prieve, Dennis C</creator><general>American Chemical Society</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19970903</creationdate><title>Small-Angle Rayleigh Scattering by Relatively Large Latex Particles</title><author>Ofoli, Robert Y ; Prieve, Dennis C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a324t-c401e64f358a119d6332c65821fe307692a85ac8d9ab30f4714b2261d64c001d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Applied sciences</topic><topic>Exact sciences and technology</topic><topic>Organic polymers</topic><topic>Physicochemistry of polymers</topic><topic>Properties and characterization</topic><topic>Solution and gel properties</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ofoli, Robert Y</creatorcontrib><creatorcontrib>Prieve, Dennis C</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Langmuir</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ofoli, Robert Y</au><au>Prieve, Dennis C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Small-Angle Rayleigh Scattering by Relatively Large Latex Particles</atitle><jtitle>Langmuir</jtitle><addtitle>Langmuir</addtitle><date>1997-09-03</date><risdate>1997</risdate><volume>13</volume><issue>18</issue><spage>4837</spage><epage>4842</epage><pages>4837-4842</pages><issn>0743-7463</issn><eissn>1520-5827</eissn><coden>LANGD5</coden><abstract>According to the Rayleigh−Debye (RG) theory of light scattering, the intensity of forward scattering is proportional to the volume-squared of the scatterers, independent of their shape or orientation. This makes small-angle light scattering (SALS) attractive as a tool for studying the kinetics of flocculation of model latexes, where the conformation of elemental particles in any floc is unknown. In preparation for such a study using a modified version of the apparatus of Lips and Willis (1973), we experimentally determine the limits under which SALS produced by a He−Ne laser can be used for sizing of monodisperse polystyrene latexes. For every particle in the sample volume to experience the same intensity of incident light (i.e. for negligible extinction), the particle concentration must be less than c max, where c max ld 6 = (1.08 ± 0.09) × 10-26 m4, l is the pathlength and d is the particle diameter. For c &lt; c max, the scattering per particle at 2° is proportional to d 6 provided d is less than 1 μm, which is considerably larger than for scattering at larger angles. We speculate that the scattering by flocs will be proportional to the square of the number of elemental particles in dependent of their conformation provided the floc is also smaller than 1 μm.</abstract><cop>Washington, DC</cop><pub>American Chemical Society</pub><doi>10.1021/la970120t</doi><tpages>6</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0743-7463
ispartof Langmuir, 1997-09, Vol.13 (18), p.4837-4842
issn 0743-7463
1520-5827
language eng
recordid cdi_crossref_primary_10_1021_la970120t
source ACS Publications
subjects Applied sciences
Exact sciences and technology
Organic polymers
Physicochemistry of polymers
Properties and characterization
Solution and gel properties
title Small-Angle Rayleigh Scattering by Relatively Large Latex Particles
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-30T21%3A00%3A51IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-acs_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Small-Angle%20Rayleigh%20Scattering%20by%20Relatively%20Large%20Latex%20Particles&rft.jtitle=Langmuir&rft.au=Ofoli,%20Robert%20Y&rft.date=1997-09-03&rft.volume=13&rft.issue=18&rft.spage=4837&rft.epage=4842&rft.pages=4837-4842&rft.issn=0743-7463&rft.eissn=1520-5827&rft.coden=LANGD5&rft_id=info:doi/10.1021/la970120t&rft_dat=%3Cacs_cross%3Ea480320107%3C/acs_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true