Fractal BET and FHH Theories of Adsorption: A Comparative Study
Two theories of multilayer adsorption of gases, namely the Brunauer-Emmett-Teller (BET) theory and the Frenkel-Halsey-Hill (FHH) theory, have recently been extended to the case of fractal substrates in a number of different ways. We present a critical evaluation of the various predictions. The princ...
Gespeichert in:
| Veröffentlicht in: | Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1989-05, Vol.423 (1864), p.169-188 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 188 |
|---|---|
| container_issue | 1864 |
| container_start_page | 169 |
| container_title | Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences |
| container_volume | 423 |
| creator | Pfeifer, P. Obert, M. Cole, M. W. |
| description | Two theories of multilayer adsorption of gases, namely the Brunauer-Emmett-Teller (BET) theory and the Frenkel-Halsey-Hill
(FHH) theory, have recently been extended to the case of fractal substrates in a number of different ways. We present a critical
evaluation of the various predictions. The principal results are the following. At high coverage, the fractal BET and FHH
isotherms apply to mass and surface fractals, respectively. Both give characteristic power laws with D-dependent exponents
(D = fractal dimension of the substrate). The BET isotherm additionally depends on the topological dimension D$_{top}$ of
the substrate. For fractal aggregates (D$_{top}$ = 1) with D < 2, the adsorbed phase exists only in a highly disordered state.
The BET theory is sensitive to multiple-wall effects (they affect prefactors); the FHH theory is not. For the FHH theory,
detailed assessments of the approximations in the model are available. The predictions of the FHH theory have been observed
on fractal silver surfaces. |
| doi_str_mv | 10.1098/rspa.1989.0049 |
| format | Article |
| fullrecord | <record><control><sourceid>jstor_highw</sourceid><recordid>TN_cdi_highwire_royalsociety_royprsa_423_1864_169</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>2398514</jstor_id><sourcerecordid>2398514</sourcerecordid><originalsourceid>FETCH-LOGICAL-c537t-1fba818c0b4b52a1bc1a37b25aefdfdbed16b845bfaebb9eda34866284eb5df33</originalsourceid><addsrcrecordid>eNp9UU2P0zAQjRBIuyxc98QhJ24pHn_F5rIq1ZYirbSILWfLThzqKo2D7Swqv56kQUgV2j15RvPemzfPWXYNaAFIig8h9noBUsgFQlS-yC6BllBgSfnLsSacFgxhuMhex7hHCEkmysvsZh10lXSbf7rd5rqr8_Vmk2931gdnY-6bfFlHH_rkfPcxX-Yrf-h10Mk92vwhDfXxTfaq0W20b_--V9n39e12tSnu7j9_WS3vioqRMhXQGC1AVMhQw7AGU4EmpcFM26ZuamNr4EZQZhptjZG21oQKzrGg1rC6IeQqez_r9sH_HGxM6uBiZdtWd9YPUWGGgZclHoGLGVgFH2OwjeqDO-hwVIDUlJOaclJTTmrKaSTEmRD8cbzAV86mo9r7IXRjq749fF2C5PKRYuJAcKqQIIAYocDVb9ef5CaAGgHKxThYdYKdr_l_K3lu65Ne382sfUw-_LsMEykY0HEM83jnfux-uWDVmfrY9CHqk9GTReCT5M2znMlA5btku3RGVM3Qtqof_-YPK73EOg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>25216772</pqid></control><display><type>article</type><title>Fractal BET and FHH Theories of Adsorption: A Comparative Study</title><source>JSTOR Mathematics & Statistics</source><source>JSTOR Archive Collection A-Z Listing</source><creator>Pfeifer, P. ; Obert, M. ; Cole, M. W.</creator><creatorcontrib>Pfeifer, P. ; Obert, M. ; Cole, M. W.</creatorcontrib><description>Two theories of multilayer adsorption of gases, namely the Brunauer-Emmett-Teller (BET) theory and the Frenkel-Halsey-Hill
(FHH) theory, have recently been extended to the case of fractal substrates in a number of different ways. We present a critical
evaluation of the various predictions. The principal results are the following. At high coverage, the fractal BET and FHH
isotherms apply to mass and surface fractals, respectively. Both give characteristic power laws with D-dependent exponents
(D = fractal dimension of the substrate). The BET isotherm additionally depends on the topological dimension D$_{top}$ of
the substrate. For fractal aggregates (D$_{top}$ = 1) with D < 2, the adsorbed phase exists only in a highly disordered state.
The BET theory is sensitive to multiple-wall effects (they affect prefactors); the FHH theory is not. For the FHH theory,
detailed assessments of the approximations in the model are available. The predictions of the FHH theory have been observed
on fractal silver surfaces.</description><identifier>ISSN: 1364-5021</identifier><identifier>ISSN: 0080-4630</identifier><identifier>EISSN: 1471-2946</identifier><identifier>EISSN: 2053-9169</identifier><identifier>DOI: 10.1098/rspa.1989.0049</identifier><language>eng</language><publisher>London: The Royal Society</publisher><subject>Adsorption ; Approximation ; Betting ; Condensation ; Film thickness ; Fractals ; Isotherms ; Material films ; Molecules ; Thermodynamics</subject><ispartof>Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 1989-05, Vol.423 (1864), p.169-188</ispartof><rights>Copyright 1989 The Royal Society</rights><rights>Scanned images copyright © 2017, Royal Society</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c537t-1fba818c0b4b52a1bc1a37b25aefdfdbed16b845bfaebb9eda34866284eb5df33</citedby><cites>FETCH-LOGICAL-c537t-1fba818c0b4b52a1bc1a37b25aefdfdbed16b845bfaebb9eda34866284eb5df33</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/2398514$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/2398514$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,780,784,803,832,27924,27925,58017,58021,58250,58254</link.rule.ids></links><search><creatorcontrib>Pfeifer, P.</creatorcontrib><creatorcontrib>Obert, M.</creatorcontrib><creatorcontrib>Cole, M. W.</creatorcontrib><title>Fractal BET and FHH Theories of Adsorption: A Comparative Study</title><title>Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences</title><addtitle>Proc. R. Soc. Lond. A</addtitle><description>Two theories of multilayer adsorption of gases, namely the Brunauer-Emmett-Teller (BET) theory and the Frenkel-Halsey-Hill
(FHH) theory, have recently been extended to the case of fractal substrates in a number of different ways. We present a critical
evaluation of the various predictions. The principal results are the following. At high coverage, the fractal BET and FHH
isotherms apply to mass and surface fractals, respectively. Both give characteristic power laws with D-dependent exponents
(D = fractal dimension of the substrate). The BET isotherm additionally depends on the topological dimension D$_{top}$ of
the substrate. For fractal aggregates (D$_{top}$ = 1) with D < 2, the adsorbed phase exists only in a highly disordered state.
The BET theory is sensitive to multiple-wall effects (they affect prefactors); the FHH theory is not. For the FHH theory,
detailed assessments of the approximations in the model are available. The predictions of the FHH theory have been observed
on fractal silver surfaces.</description><subject>Adsorption</subject><subject>Approximation</subject><subject>Betting</subject><subject>Condensation</subject><subject>Film thickness</subject><subject>Fractals</subject><subject>Isotherms</subject><subject>Material films</subject><subject>Molecules</subject><subject>Thermodynamics</subject><issn>1364-5021</issn><issn>0080-4630</issn><issn>1471-2946</issn><issn>2053-9169</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1989</creationdate><recordtype>article</recordtype><recordid>eNp9UU2P0zAQjRBIuyxc98QhJ24pHn_F5rIq1ZYirbSILWfLThzqKo2D7Swqv56kQUgV2j15RvPemzfPWXYNaAFIig8h9noBUsgFQlS-yC6BllBgSfnLsSacFgxhuMhex7hHCEkmysvsZh10lXSbf7rd5rqr8_Vmk2931gdnY-6bfFlHH_rkfPcxX-Yrf-h10Mk92vwhDfXxTfaq0W20b_--V9n39e12tSnu7j9_WS3vioqRMhXQGC1AVMhQw7AGU4EmpcFM26ZuamNr4EZQZhptjZG21oQKzrGg1rC6IeQqez_r9sH_HGxM6uBiZdtWd9YPUWGGgZclHoGLGVgFH2OwjeqDO-hwVIDUlJOaclJTTmrKaSTEmRD8cbzAV86mo9r7IXRjq749fF2C5PKRYuJAcKqQIIAYocDVb9ef5CaAGgHKxThYdYKdr_l_K3lu65Ne382sfUw-_LsMEykY0HEM83jnfux-uWDVmfrY9CHqk9GTReCT5M2znMlA5btku3RGVM3Qtqof_-YPK73EOg</recordid><startdate>19890508</startdate><enddate>19890508</enddate><creator>Pfeifer, P.</creator><creator>Obert, M.</creator><creator>Cole, M. W.</creator><general>The Royal Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>19890508</creationdate><title>Fractal BET and FHH Theories of Adsorption: A Comparative Study</title><author>Pfeifer, P. ; Obert, M. ; Cole, M. W.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c537t-1fba818c0b4b52a1bc1a37b25aefdfdbed16b845bfaebb9eda34866284eb5df33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1989</creationdate><topic>Adsorption</topic><topic>Approximation</topic><topic>Betting</topic><topic>Condensation</topic><topic>Film thickness</topic><topic>Fractals</topic><topic>Isotherms</topic><topic>Material films</topic><topic>Molecules</topic><topic>Thermodynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pfeifer, P.</creatorcontrib><creatorcontrib>Obert, M.</creatorcontrib><creatorcontrib>Cole, M. W.</creatorcontrib><collection>CrossRef</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pfeifer, P.</au><au>Obert, M.</au><au>Cole, M. W.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractal BET and FHH Theories of Adsorption: A Comparative Study</atitle><jtitle>Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences</jtitle><stitle>Proc. R. Soc. Lond. A</stitle><date>1989-05-08</date><risdate>1989</risdate><volume>423</volume><issue>1864</issue><spage>169</spage><epage>188</epage><pages>169-188</pages><issn>1364-5021</issn><issn>0080-4630</issn><eissn>1471-2946</eissn><eissn>2053-9169</eissn><abstract>Two theories of multilayer adsorption of gases, namely the Brunauer-Emmett-Teller (BET) theory and the Frenkel-Halsey-Hill
(FHH) theory, have recently been extended to the case of fractal substrates in a number of different ways. We present a critical
evaluation of the various predictions. The principal results are the following. At high coverage, the fractal BET and FHH
isotherms apply to mass and surface fractals, respectively. Both give characteristic power laws with D-dependent exponents
(D = fractal dimension of the substrate). The BET isotherm additionally depends on the topological dimension D$_{top}$ of
the substrate. For fractal aggregates (D$_{top}$ = 1) with D < 2, the adsorbed phase exists only in a highly disordered state.
The BET theory is sensitive to multiple-wall effects (they affect prefactors); the FHH theory is not. For the FHH theory,
detailed assessments of the approximations in the model are available. The predictions of the FHH theory have been observed
on fractal silver surfaces.</abstract><cop>London</cop><pub>The Royal Society</pub><doi>10.1098/rspa.1989.0049</doi><tpages>20</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1364-5021 |
| ispartof | Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 1989-05, Vol.423 (1864), p.169-188 |
| issn | 1364-5021 0080-4630 1471-2946 2053-9169 |
| language | eng |
| recordid | cdi_highwire_royalsociety_royprsa_423_1864_169 |
| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | Adsorption Approximation Betting Condensation Film thickness Fractals Isotherms Material films Molecules Thermodynamics |
| title | Fractal BET and FHH Theories of Adsorption: A Comparative Study |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T18%3A01%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_highw&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Fractal%20BET%20and%20FHH%20Theories%20of%20Adsorption:%20A%20Comparative%20Study&rft.jtitle=Proceedings%20of%20the%20Royal%20Society%20of%20London.%20Series%20A,%20Mathematical%20and%20physical%20sciences&rft.au=Pfeifer,%20P.&rft.date=1989-05-08&rft.volume=423&rft.issue=1864&rft.spage=169&rft.epage=188&rft.pages=169-188&rft.issn=1364-5021&rft.eissn=1471-2946&rft_id=info:doi/10.1098/rspa.1989.0049&rft_dat=%3Cjstor_highw%3E2398514%3C/jstor_highw%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=25216772&rft_id=info:pmid/&rft_jstor_id=2398514&rfr_iscdi=true |