The Prediction of the Bulk Modulus and its Temperature-Derivative of the Crystalline β-SiC Ceramic
The prediction of the isothermal bulk modulus B T and the temperature-derivative ∂ B T / ∂ T P of crystalline silicon carbide β - S i C from experimental data are presented in this work. Using the experimental measurements of the coefficient of thermal expansion found by Z. Li and R. C. Bradt and th...
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| creator | Abdul-Hafidh, Esam H. |
| description | The prediction of the isothermal bulk modulus
B
T
and the temperature-derivative
∂
B
T
/
∂
T
P
of crystalline silicon carbide
β
-
S
i
C
from experimental data are presented in this work. Using the experimental measurements of the coefficient of thermal expansion found by Z. Li and R. C. Bradt and the empirical value of the Anderson parameter, the variations in bulk modulus as a function of temperature and pressure are traced. Both
B
T
and its temperature-derivative were calculated within the temperature range of 273-1573 K. The bulk modulus has been found to decrease by 2.4% from its value at 273 K upon heating to a temperature of 1573 K. The temperature derivative of the bulk modulus decreases from -0.003 GPa/K at 273 K to a minimum of -0.0046 at Debye's temperature (1173 K), and then increases again as the temperature increases. The bulk modulus has been also calculated by thermodynamical equations for the purpose of comparison, where the empirical and the thermodynamical results match to within a negligible margin of error. Both results for
B
T
were compared to previous LDA predictions and were found to deviate by 1.72% at 237 K to 5.27% at 937 K, respectively. The bulk modulus
B
T
has also been investigated as the pressure is varied from
0
to
70
G
P
a
, where
B
T
has been found to increase from
226.9
G
P
a
at
0
G
P
a
to
513.9
G
P
a
at
70
G
P
a
.
Graphical Abstract |
| doi_str_mv | 10.1007/s12633-023-02461-z |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2919497712</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2919497712</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-ecd3bf03cbd850759b63b62490e118bbbd462e7792ee6381a401e1e509bf30683</originalsourceid><addsrcrecordid>eNp9kNtKAzEQhhdRsNS-gFcBr6M5bJPNpa5HqChYwbuw2Z3V1O1uTbKF9rF8EJ_J1Hq4c2CYYfj-f-BPkkNKjikh8sRTJjjHhG06FRSvd5IBzaTAStFs93cnT_vJyPsZicWZzIQaJOX0BdC9g8qWwXYt6moU4uWsb17RbVf1Te9R0VbIBo-mMF-AK0LvAJ-Ds8si2CX8SHK38qFoGtsC-njHDzZHeaTntjxI9uqi8TD6nsPk8fJiml_jyd3VTX46wSWnKmAoK25qwktTZWMix8oIbgRLFQFKM2NMlQoGUioGIHhGi5RQoDAmytSciIwPk6Ot78J1bz34oGdd79r4UjNFVaqkpCxSbEuVrvPeQa0Xzs4Lt9KU6E2eepunjnnqrzz1Oor4VuQj3D6D-7P-R_UJrDJ5Iw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2919497712</pqid></control><display><type>article</type><title>The Prediction of the Bulk Modulus and its Temperature-Derivative of the Crystalline β-SiC Ceramic</title><source>Springer Nature - Complete Springer Journals</source><source>ProQuest Central UK/Ireland</source><source>ProQuest Central</source><creator>Abdul-Hafidh, Esam H.</creator><creatorcontrib>Abdul-Hafidh, Esam H.</creatorcontrib><description>The prediction of the isothermal bulk modulus
B
T
and the temperature-derivative
∂
B
T
/
∂
T
P
of crystalline silicon carbide
β
-
S
i
C
from experimental data are presented in this work. Using the experimental measurements of the coefficient of thermal expansion found by Z. Li and R. C. Bradt and the empirical value of the Anderson parameter, the variations in bulk modulus as a function of temperature and pressure are traced. Both
B
T
and its temperature-derivative were calculated within the temperature range of 273-1573 K. The bulk modulus has been found to decrease by 2.4% from its value at 273 K upon heating to a temperature of 1573 K. The temperature derivative of the bulk modulus decreases from -0.003 GPa/K at 273 K to a minimum of -0.0046 at Debye's temperature (1173 K), and then increases again as the temperature increases. The bulk modulus has been also calculated by thermodynamical equations for the purpose of comparison, where the empirical and the thermodynamical results match to within a negligible margin of error. Both results for
B
T
were compared to previous LDA predictions and were found to deviate by 1.72% at 237 K to 5.27% at 937 K, respectively. The bulk modulus
B
T
has also been investigated as the pressure is varied from
0
to
70
G
P
a
, where
B
T
has been found to increase from
226.9
G
P
a
at
0
G
P
a
to
513.9
G
P
a
at
70
G
P
a
.
Graphical Abstract</description><identifier>ISSN: 1876-990X</identifier><identifier>EISSN: 1876-9918</identifier><identifier>DOI: 10.1007/s12633-023-02461-z</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Bulk modulus ; Chemistry ; Chemistry and Materials Science ; Composite materials ; Debye temperature ; Empirical equations ; Environmental Chemistry ; Heat conductivity ; Inorganic Chemistry ; Lasers ; Materials Science ; Mathematical analysis ; Optical Devices ; Optics ; Phase transitions ; Photonics ; Polymer Sciences ; Silicon carbide ; Temperature ; Thermal expansion</subject><ispartof>SILICON, 2023-08, Vol.15 (13), p.5659-5664</ispartof><rights>The Author(s), under exclusive licence to Springer Nature B.V. 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-ecd3bf03cbd850759b63b62490e118bbbd462e7792ee6381a401e1e509bf30683</citedby><cites>FETCH-LOGICAL-c319t-ecd3bf03cbd850759b63b62490e118bbbd462e7792ee6381a401e1e509bf30683</cites><orcidid>0000-0002-1145-0766</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12633-023-02461-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2919497712?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>314,777,781,21369,27905,27906,33725,41469,42538,43786,51300,64364,64368,72218</link.rule.ids></links><search><creatorcontrib>Abdul-Hafidh, Esam H.</creatorcontrib><title>The Prediction of the Bulk Modulus and its Temperature-Derivative of the Crystalline β-SiC Ceramic</title><title>SILICON</title><addtitle>Silicon</addtitle><description>The prediction of the isothermal bulk modulus
B
T
and the temperature-derivative
∂
B
T
/
∂
T
P
of crystalline silicon carbide
β
-
S
i
C
from experimental data are presented in this work. Using the experimental measurements of the coefficient of thermal expansion found by Z. Li and R. C. Bradt and the empirical value of the Anderson parameter, the variations in bulk modulus as a function of temperature and pressure are traced. Both
B
T
and its temperature-derivative were calculated within the temperature range of 273-1573 K. The bulk modulus has been found to decrease by 2.4% from its value at 273 K upon heating to a temperature of 1573 K. The temperature derivative of the bulk modulus decreases from -0.003 GPa/K at 273 K to a minimum of -0.0046 at Debye's temperature (1173 K), and then increases again as the temperature increases. The bulk modulus has been also calculated by thermodynamical equations for the purpose of comparison, where the empirical and the thermodynamical results match to within a negligible margin of error. Both results for
B
T
were compared to previous LDA predictions and were found to deviate by 1.72% at 237 K to 5.27% at 937 K, respectively. The bulk modulus
B
T
has also been investigated as the pressure is varied from
0
to
70
G
P
a
, where
B
T
has been found to increase from
226.9
G
P
a
at
0
G
P
a
to
513.9
G
P
a
at
70
G
P
a
.
Graphical Abstract</description><subject>Bulk modulus</subject><subject>Chemistry</subject><subject>Chemistry and Materials Science</subject><subject>Composite materials</subject><subject>Debye temperature</subject><subject>Empirical equations</subject><subject>Environmental Chemistry</subject><subject>Heat conductivity</subject><subject>Inorganic Chemistry</subject><subject>Lasers</subject><subject>Materials Science</subject><subject>Mathematical analysis</subject><subject>Optical Devices</subject><subject>Optics</subject><subject>Phase transitions</subject><subject>Photonics</subject><subject>Polymer Sciences</subject><subject>Silicon carbide</subject><subject>Temperature</subject><subject>Thermal expansion</subject><issn>1876-990X</issn><issn>1876-9918</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kNtKAzEQhhdRsNS-gFcBr6M5bJPNpa5HqChYwbuw2Z3V1O1uTbKF9rF8EJ_J1Hq4c2CYYfj-f-BPkkNKjikh8sRTJjjHhG06FRSvd5IBzaTAStFs93cnT_vJyPsZicWZzIQaJOX0BdC9g8qWwXYt6moU4uWsb17RbVf1Te9R0VbIBo-mMF-AK0LvAJ-Ds8si2CX8SHK38qFoGtsC-njHDzZHeaTntjxI9uqi8TD6nsPk8fJiml_jyd3VTX46wSWnKmAoK25qwktTZWMix8oIbgRLFQFKM2NMlQoGUioGIHhGi5RQoDAmytSciIwPk6Ot78J1bz34oGdd79r4UjNFVaqkpCxSbEuVrvPeQa0Xzs4Lt9KU6E2eepunjnnqrzz1Oor4VuQj3D6D-7P-R_UJrDJ5Iw</recordid><startdate>20230801</startdate><enddate>20230801</enddate><creator>Abdul-Hafidh, Esam H.</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>KB.</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><orcidid>https://orcid.org/0000-0002-1145-0766</orcidid></search><sort><creationdate>20230801</creationdate><title>The Prediction of the Bulk Modulus and its Temperature-Derivative of the Crystalline β-SiC Ceramic</title><author>Abdul-Hafidh, Esam H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-ecd3bf03cbd850759b63b62490e118bbbd462e7792ee6381a401e1e509bf30683</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Bulk modulus</topic><topic>Chemistry</topic><topic>Chemistry and Materials Science</topic><topic>Composite materials</topic><topic>Debye temperature</topic><topic>Empirical equations</topic><topic>Environmental Chemistry</topic><topic>Heat conductivity</topic><topic>Inorganic Chemistry</topic><topic>Lasers</topic><topic>Materials Science</topic><topic>Mathematical analysis</topic><topic>Optical Devices</topic><topic>Optics</topic><topic>Phase transitions</topic><topic>Photonics</topic><topic>Polymer Sciences</topic><topic>Silicon carbide</topic><topic>Temperature</topic><topic>Thermal expansion</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Abdul-Hafidh, Esam H.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Materials Science Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>SILICON</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Abdul-Hafidh, Esam H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Prediction of the Bulk Modulus and its Temperature-Derivative of the Crystalline β-SiC Ceramic</atitle><jtitle>SILICON</jtitle><stitle>Silicon</stitle><date>2023-08-01</date><risdate>2023</risdate><volume>15</volume><issue>13</issue><spage>5659</spage><epage>5664</epage><pages>5659-5664</pages><issn>1876-990X</issn><eissn>1876-9918</eissn><abstract>The prediction of the isothermal bulk modulus
B
T
and the temperature-derivative
∂
B
T
/
∂
T
P
of crystalline silicon carbide
β
-
S
i
C
from experimental data are presented in this work. Using the experimental measurements of the coefficient of thermal expansion found by Z. Li and R. C. Bradt and the empirical value of the Anderson parameter, the variations in bulk modulus as a function of temperature and pressure are traced. Both
B
T
and its temperature-derivative were calculated within the temperature range of 273-1573 K. The bulk modulus has been found to decrease by 2.4% from its value at 273 K upon heating to a temperature of 1573 K. The temperature derivative of the bulk modulus decreases from -0.003 GPa/K at 273 K to a minimum of -0.0046 at Debye's temperature (1173 K), and then increases again as the temperature increases. The bulk modulus has been also calculated by thermodynamical equations for the purpose of comparison, where the empirical and the thermodynamical results match to within a negligible margin of error. Both results for
B
T
were compared to previous LDA predictions and were found to deviate by 1.72% at 237 K to 5.27% at 937 K, respectively. The bulk modulus
B
T
has also been investigated as the pressure is varied from
0
to
70
G
P
a
, where
B
T
has been found to increase from
226.9
G
P
a
at
0
G
P
a
to
513.9
G
P
a
at
70
G
P
a
.
Graphical Abstract</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s12633-023-02461-z</doi><tpages>6</tpages><orcidid>https://orcid.org/0000-0002-1145-0766</orcidid></addata></record> |
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| language | eng |
| recordid | cdi_proquest_journals_2919497712 |
| source | Springer Nature - Complete Springer Journals; ProQuest Central UK/Ireland; ProQuest Central |
| subjects | Bulk modulus Chemistry Chemistry and Materials Science Composite materials Debye temperature Empirical equations Environmental Chemistry Heat conductivity Inorganic Chemistry Lasers Materials Science Mathematical analysis Optical Devices Optics Phase transitions Photonics Polymer Sciences Silicon carbide Temperature Thermal expansion |
| title | The Prediction of the Bulk Modulus and its Temperature-Derivative of the Crystalline β-SiC Ceramic |
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