Lattice dynamics, thermal and elastic properties of hafnium
The lattice dynamics, third-order elastic (TOE) constants and thermal expansion of h.c.p. hafnium are worked out employing a model based on Keatmg'e approach. The lattice heat capacity of hafnium calculated using a frequency distribution function that involves 50 880 frequencies, shows reasonab...
Gespeichert in:
Veröffentlicht in: | Philosophical magazine. A, Physics of condensed matter. Defects and mechanical properties Physics of condensed matter. Defects and mechanical properties, 1979-12, Vol.40 (6), p.769-778 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 778 |
---|---|
container_issue | 6 |
container_start_page | 769 |
container_title | Philosophical magazine. A, Physics of condensed matter. Defects and mechanical properties |
container_volume | 40 |
creator | Rao, R. Ramji Rajput, A. |
description | The lattice dynamics, third-order elastic (TOE) constants and thermal expansion of h.c.p. hafnium are worked out employing a model based on Keatmg'e approach. The lattice heat capacity of hafnium calculated using a frequency distribution function that involves 50 880 frequencies, shows reasonably good agreement with the experimental data. The variation of the lattice parameters of hafnium is also investigated using its TOE constants in Thurston's extrapolation formulae. |
doi_str_mv | 10.1080/01418617908234873 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1080_01418617908234873</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1298088815</sourcerecordid><originalsourceid>FETCH-LOGICAL-c355t-b1a9ca1ea1d752cbb20255472aa8d78e87b54275a0960c1beaa20766454fa78e3</originalsourceid><addsrcrecordid>eNp1kEtLxDAUhYMoOD5-gLuC4MrqvWnTpOhGBl8w4EbX4TZNmQxtMyYdZP69GcaV4uouzncO5x7GLhBuEBTcApaoKpQ1KF6UShYHbIZlBXlV1_yQzXZ6ngA4ZicxrgAAJcCM3S1ompyxWbsdaXAmXmfT0oaB-ozGNrM9xSRn6-DXNkzOxsx32ZK60W2GM3bUUR_t-c89ZR9Pj-_zl3zx9vw6f1jkphBiyhuk2hBawlYKbpqGAxeilJxItVJZJRtRcikI6goMNpaIg6yqUpQdJb04ZVf73NTic2PjpAcXje17Gq3fRJ0elsgBEnj5C1z5TRhTN428VqCUQpEo3FMm-BiD7fQ6uIHCViPo3Zj6z5jJc7_3uLHzaZ0vH_pWT7TtfegCjcZFXfxv_wbm53gb</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1298088815</pqid></control><display><type>article</type><title>Lattice dynamics, thermal and elastic properties of hafnium</title><source>Taylor & Francis</source><source>Periodicals Index Online</source><creator>Rao, R. Ramji ; Rajput, A.</creator><creatorcontrib>Rao, R. Ramji ; Rajput, A.</creatorcontrib><description>The lattice dynamics, third-order elastic (TOE) constants and thermal expansion of h.c.p. hafnium are worked out employing a model based on Keatmg'e approach. The lattice heat capacity of hafnium calculated using a frequency distribution function that involves 50 880 frequencies, shows reasonably good agreement with the experimental data. The variation of the lattice parameters of hafnium is also investigated using its TOE constants in Thurston's extrapolation formulae.</description><identifier>ISSN: 0141-8610</identifier><identifier>EISSN: 1460-6992</identifier><identifier>DOI: 10.1080/01418617908234873</identifier><language>eng</language><publisher>London: Taylor & Francis Group</publisher><ispartof>Philosophical magazine. A, Physics of condensed matter. Defects and mechanical properties, 1979-12, Vol.40 (6), p.769-778</ispartof><rights>Copyright Taylor & Francis Group, LLC 1979</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c355t-b1a9ca1ea1d752cbb20255472aa8d78e87b54275a0960c1beaa20766454fa78e3</citedby><cites>FETCH-LOGICAL-c355t-b1a9ca1ea1d752cbb20255472aa8d78e87b54275a0960c1beaa20766454fa78e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.tandfonline.com/doi/pdf/10.1080/01418617908234873$$EPDF$$P50$$Ginformaworld$$H</linktopdf><linktohtml>$$Uhttps://www.tandfonline.com/doi/full/10.1080/01418617908234873$$EHTML$$P50$$Ginformaworld$$H</linktohtml><link.rule.ids>314,776,780,27846,27901,27902,59620,60409</link.rule.ids></links><search><creatorcontrib>Rao, R. Ramji</creatorcontrib><creatorcontrib>Rajput, A.</creatorcontrib><title>Lattice dynamics, thermal and elastic properties of hafnium</title><title>Philosophical magazine. A, Physics of condensed matter. Defects and mechanical properties</title><description>The lattice dynamics, third-order elastic (TOE) constants and thermal expansion of h.c.p. hafnium are worked out employing a model based on Keatmg'e approach. The lattice heat capacity of hafnium calculated using a frequency distribution function that involves 50 880 frequencies, shows reasonably good agreement with the experimental data. The variation of the lattice parameters of hafnium is also investigated using its TOE constants in Thurston's extrapolation formulae.</description><issn>0141-8610</issn><issn>1460-6992</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1979</creationdate><recordtype>article</recordtype><sourceid>K30</sourceid><recordid>eNp1kEtLxDAUhYMoOD5-gLuC4MrqvWnTpOhGBl8w4EbX4TZNmQxtMyYdZP69GcaV4uouzncO5x7GLhBuEBTcApaoKpQ1KF6UShYHbIZlBXlV1_yQzXZ6ngA4ZicxrgAAJcCM3S1ompyxWbsdaXAmXmfT0oaB-ozGNrM9xSRn6-DXNkzOxsx32ZK60W2GM3bUUR_t-c89ZR9Pj-_zl3zx9vw6f1jkphBiyhuk2hBawlYKbpqGAxeilJxItVJZJRtRcikI6goMNpaIg6yqUpQdJb04ZVf73NTic2PjpAcXje17Gq3fRJ0elsgBEnj5C1z5TRhTN428VqCUQpEo3FMm-BiD7fQ6uIHCViPo3Zj6z5jJc7_3uLHzaZ0vH_pWT7TtfegCjcZFXfxv_wbm53gb</recordid><startdate>19791201</startdate><enddate>19791201</enddate><creator>Rao, R. Ramji</creator><creator>Rajput, A.</creator><general>Taylor & Francis Group</general><general>Taylor and Francis</general><scope>AAYXX</scope><scope>CITATION</scope><scope>HAGHG</scope><scope>JILTI</scope><scope>K30</scope><scope>PAAUG</scope><scope>PAWHS</scope><scope>PAWZZ</scope><scope>PAXOH</scope><scope>PBHAV</scope><scope>PBQSW</scope><scope>PBYQZ</scope><scope>PCIWU</scope><scope>PCMID</scope><scope>PCZJX</scope><scope>PDGRG</scope><scope>PDWWI</scope><scope>PETMR</scope><scope>PFVGT</scope><scope>PGXDX</scope><scope>PIHIL</scope><scope>PISVA</scope><scope>PJCTQ</scope><scope>PJTMS</scope><scope>PLCHJ</scope><scope>PMHAD</scope><scope>PNQDJ</scope><scope>POUND</scope><scope>PPLAD</scope><scope>PQAPC</scope><scope>PQCAN</scope><scope>PQCMW</scope><scope>PQEME</scope><scope>PQHKH</scope><scope>PQMID</scope><scope>PQNCT</scope><scope>PQNET</scope><scope>PQSCT</scope><scope>PQSET</scope><scope>PSVJG</scope><scope>PVMQY</scope><scope>PZGFC</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>19791201</creationdate><title>Lattice dynamics, thermal and elastic properties of hafnium</title><author>Rao, R. Ramji ; Rajput, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c355t-b1a9ca1ea1d752cbb20255472aa8d78e87b54275a0960c1beaa20766454fa78e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1979</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rao, R. Ramji</creatorcontrib><creatorcontrib>Rajput, A.</creatorcontrib><collection>CrossRef</collection><collection>Periodicals Index Online Segment 12</collection><collection>Periodicals Index Online Segment 32</collection><collection>Periodicals Index Online</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - West</collection><collection>Primary Sources Access (Plan D) - International</collection><collection>Primary Sources Access & Build (Plan A) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Midwest</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Northeast</collection><collection>Primary Sources Access (Plan D) - Southeast</collection><collection>Primary Sources Access (Plan D) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Southeast</collection><collection>Primary Sources Access (Plan D) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - UK / I</collection><collection>Primary Sources Access (Plan D) - Canada</collection><collection>Primary Sources Access (Plan D) - EMEALA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - International</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - International</collection><collection>Primary Sources Access (Plan D) - West</collection><collection>Periodicals Index Online Segments 1-50</collection><collection>Primary Sources Access (Plan D) - APAC</collection><collection>Primary Sources Access (Plan D) - Midwest</collection><collection>Primary Sources Access (Plan D) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Canada</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - EMEALA</collection><collection>Primary Sources Access & Build (Plan A) - APAC</collection><collection>Primary Sources Access & Build (Plan A) - Canada</collection><collection>Primary Sources Access & Build (Plan A) - West</collection><collection>Primary Sources Access & Build (Plan A) - EMEALA</collection><collection>Primary Sources Access (Plan D) - Northeast</collection><collection>Primary Sources Access & Build (Plan A) - Midwest</collection><collection>Primary Sources Access & Build (Plan A) - North Central</collection><collection>Primary Sources Access & Build (Plan A) - Northeast</collection><collection>Primary Sources Access & Build (Plan A) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - Southeast</collection><collection>Primary Sources Access (Plan D) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - APAC</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - MEA</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>Philosophical magazine. A, Physics of condensed matter. Defects and mechanical properties</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rao, R. Ramji</au><au>Rajput, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Lattice dynamics, thermal and elastic properties of hafnium</atitle><jtitle>Philosophical magazine. A, Physics of condensed matter. Defects and mechanical properties</jtitle><date>1979-12-01</date><risdate>1979</risdate><volume>40</volume><issue>6</issue><spage>769</spage><epage>778</epage><pages>769-778</pages><issn>0141-8610</issn><eissn>1460-6992</eissn><abstract>The lattice dynamics, third-order elastic (TOE) constants and thermal expansion of h.c.p. hafnium are worked out employing a model based on Keatmg'e approach. The lattice heat capacity of hafnium calculated using a frequency distribution function that involves 50 880 frequencies, shows reasonably good agreement with the experimental data. The variation of the lattice parameters of hafnium is also investigated using its TOE constants in Thurston's extrapolation formulae.</abstract><cop>London</cop><pub>Taylor & Francis Group</pub><doi>10.1080/01418617908234873</doi><tpages>10</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0141-8610 |
ispartof | Philosophical magazine. A, Physics of condensed matter. Defects and mechanical properties, 1979-12, Vol.40 (6), p.769-778 |
issn | 0141-8610 1460-6992 |
language | eng |
recordid | cdi_crossref_primary_10_1080_01418617908234873 |
source | Taylor & Francis; Periodicals Index Online |
title | Lattice dynamics, thermal and elastic properties of hafnium |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-05T15%3A10%3A17IST&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=Lattice%20dynamics,%20thermal%20and%20elastic%20properties%20of%20hafnium&rft.jtitle=Philosophical%20magazine.%20A,%20Physics%20of%20condensed%20matter.%20Defects%20and%20mechanical%20properties&rft.au=Rao,%20R.%20Ramji&rft.date=1979-12-01&rft.volume=40&rft.issue=6&rft.spage=769&rft.epage=778&rft.pages=769-778&rft.issn=0141-8610&rft.eissn=1460-6992&rft_id=info:doi/10.1080/01418617908234873&rft_dat=%3Cproquest_cross%3E1298088815%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=1298088815&rft_id=info:pmid/&rfr_iscdi=true |