Volume Effects of Alloying: A Thermodynamic Perspective
This study presents a thermodynamic analysis of volume change (Δ°V m ) accompanying alloy formation. Utilizing the thermodynamic identity connecting volume change with Gibbs energy (Δ°G m ) of mixing, Δ°V m ( x ) = (∂Δ°G m /∂p) T,x and closed-form analytical approximations are obtained for both enth...
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| Veröffentlicht in: | Transactions of the Indian Institute of Metals 2022-04, Vol.75 (4), p.1031-1041 |
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| creator | Raju, Subramanian |
| description | This study presents a thermodynamic analysis of volume change (Δ°V
m
) accompanying alloy formation. Utilizing the thermodynamic identity connecting volume change with Gibbs energy (Δ°G
m
) of mixing, Δ°V
m
(
x
) = (∂Δ°G
m
/∂p)
T,x
and closed-form analytical approximations are obtained for both enthalpy (Δ°V
m
)
h
and entropy (Δ°V
m
)
s
-based contributions to Δ°V
m
. It is shown that both positive and negative volume change could be supported in a single alloy system in different composition regimes, depending on whether the effect of pressure on enthalpy is dominating over entropy effects of alloying or otherwise. Further, it is also established that entropy contribution to volume change is primarily influenced by volume expansion mismatch between solid solution and compositionally averaged end members. The thermodynamic analysis is supplemented by a phenomenological treatment of enthalpy contribution to volume change arising out of different microscopic contributions to mixing enthalpy. Possible thermodynamic justification of empirical polynomial representation of composition induced volume variation is also presented. An illustrative case study on volume effects accompanying the formation of
bcc
solid solution phase in U
1−
x
Zr
x
system is presented. |
| doi_str_mv | 10.1007/s12666-022-02550-4 |
| format | Article |
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m
) accompanying alloy formation. Utilizing the thermodynamic identity connecting volume change with Gibbs energy (Δ°G
m
) of mixing, Δ°V
m
(
x
) = (∂Δ°G
m
/∂p)
T,x
and closed-form analytical approximations are obtained for both enthalpy (Δ°V
m
)
h
and entropy (Δ°V
m
)
s
-based contributions to Δ°V
m
. It is shown that both positive and negative volume change could be supported in a single alloy system in different composition regimes, depending on whether the effect of pressure on enthalpy is dominating over entropy effects of alloying or otherwise. Further, it is also established that entropy contribution to volume change is primarily influenced by volume expansion mismatch between solid solution and compositionally averaged end members. The thermodynamic analysis is supplemented by a phenomenological treatment of enthalpy contribution to volume change arising out of different microscopic contributions to mixing enthalpy. Possible thermodynamic justification of empirical polynomial representation of composition induced volume variation is also presented. An illustrative case study on volume effects accompanying the formation of
bcc
solid solution phase in U
1−
x
Zr
x
system is presented.</description><identifier>ISSN: 0972-2815</identifier><identifier>EISSN: 0975-1645</identifier><identifier>DOI: 10.1007/s12666-022-02550-4</identifier><language>eng</language><publisher>New Delhi: Springer India</publisher><subject>Alloy systems ; Alloying ; Chemistry and Materials Science ; Composition ; Corrosion and Coatings ; Empirical analysis ; Enthalpy ; Entropy ; Materials Science ; Mathematical analysis ; Metallic Materials ; Original Article ; Polynomials ; Pressure effects ; Solid solutions ; Thermodynamics ; Tribology</subject><ispartof>Transactions of the Indian Institute of Metals, 2022-04, Vol.75 (4), p.1031-1041</ispartof><rights>The Indian Institute of Metals - IIM 2022</rights><rights>The Indian Institute of Metals - IIM 2022.</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c249t-a17f88a309ee73f734b2984e42b5023d0b0c4b728c267972e34f8ed914b6cb453</citedby><cites>FETCH-LOGICAL-c249t-a17f88a309ee73f734b2984e42b5023d0b0c4b728c267972e34f8ed914b6cb453</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12666-022-02550-4$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s12666-022-02550-4$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Raju, Subramanian</creatorcontrib><title>Volume Effects of Alloying: A Thermodynamic Perspective</title><title>Transactions of the Indian Institute of Metals</title><addtitle>Trans Indian Inst Met</addtitle><description>This study presents a thermodynamic analysis of volume change (Δ°V
m
) accompanying alloy formation. Utilizing the thermodynamic identity connecting volume change with Gibbs energy (Δ°G
m
) of mixing, Δ°V
m
(
x
) = (∂Δ°G
m
/∂p)
T,x
and closed-form analytical approximations are obtained for both enthalpy (Δ°V
m
)
h
and entropy (Δ°V
m
)
s
-based contributions to Δ°V
m
. It is shown that both positive and negative volume change could be supported in a single alloy system in different composition regimes, depending on whether the effect of pressure on enthalpy is dominating over entropy effects of alloying or otherwise. Further, it is also established that entropy contribution to volume change is primarily influenced by volume expansion mismatch between solid solution and compositionally averaged end members. The thermodynamic analysis is supplemented by a phenomenological treatment of enthalpy contribution to volume change arising out of different microscopic contributions to mixing enthalpy. Possible thermodynamic justification of empirical polynomial representation of composition induced volume variation is also presented. An illustrative case study on volume effects accompanying the formation of
bcc
solid solution phase in U
1−
x
Zr
x
system is presented.</description><subject>Alloy systems</subject><subject>Alloying</subject><subject>Chemistry and Materials Science</subject><subject>Composition</subject><subject>Corrosion and Coatings</subject><subject>Empirical analysis</subject><subject>Enthalpy</subject><subject>Entropy</subject><subject>Materials Science</subject><subject>Mathematical analysis</subject><subject>Metallic Materials</subject><subject>Original Article</subject><subject>Polynomials</subject><subject>Pressure effects</subject><subject>Solid solutions</subject><subject>Thermodynamics</subject><subject>Tribology</subject><issn>0972-2815</issn><issn>0975-1645</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKt_wNOC52gy-dp4K6VWoaCH6jXspkndsrupSSv035t2BW8ehpnD884MD0K3lNxTQtRDoiClxAQglxAE8zM0IloJTCUX56cZMJRUXKKrlDaEMA2MjZD6CO2-c8XMe2d3qQi-mLRtODT9-rGYFMtPF7uwOvRV19jizcW0zVjz7a7Rha_a5G5--xi9P82W02e8eJ2_TCcLbIHrHa6o8mVZMaKdU8wrxmvQJXccakGArUhNLK8VlBakyi86xn3pVpryWtqaCzZGd8PebQxfe5d2ZhP2sc8nDUiuckgznikYKBtDStF5s41NV8WDocQcBZlBkMmCzEmQOYbYEEoZ7tcu_q3-J_UDi_Vmww</recordid><startdate>20220401</startdate><enddate>20220401</enddate><creator>Raju, Subramanian</creator><general>Springer India</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20220401</creationdate><title>Volume Effects of Alloying: A Thermodynamic Perspective</title><author>Raju, Subramanian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c249t-a17f88a309ee73f734b2984e42b5023d0b0c4b728c267972e34f8ed914b6cb453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Alloy systems</topic><topic>Alloying</topic><topic>Chemistry and Materials Science</topic><topic>Composition</topic><topic>Corrosion and Coatings</topic><topic>Empirical analysis</topic><topic>Enthalpy</topic><topic>Entropy</topic><topic>Materials Science</topic><topic>Mathematical analysis</topic><topic>Metallic Materials</topic><topic>Original Article</topic><topic>Polynomials</topic><topic>Pressure effects</topic><topic>Solid solutions</topic><topic>Thermodynamics</topic><topic>Tribology</topic><toplevel>online_resources</toplevel><creatorcontrib>Raju, Subramanian</creatorcontrib><collection>CrossRef</collection><jtitle>Transactions of the Indian Institute of Metals</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Raju, Subramanian</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Volume Effects of Alloying: A Thermodynamic Perspective</atitle><jtitle>Transactions of the Indian Institute of Metals</jtitle><stitle>Trans Indian Inst Met</stitle><date>2022-04-01</date><risdate>2022</risdate><volume>75</volume><issue>4</issue><spage>1031</spage><epage>1041</epage><pages>1031-1041</pages><issn>0972-2815</issn><eissn>0975-1645</eissn><abstract>This study presents a thermodynamic analysis of volume change (Δ°V
m
) accompanying alloy formation. Utilizing the thermodynamic identity connecting volume change with Gibbs energy (Δ°G
m
) of mixing, Δ°V
m
(
x
) = (∂Δ°G
m
/∂p)
T,x
and closed-form analytical approximations are obtained for both enthalpy (Δ°V
m
)
h
and entropy (Δ°V
m
)
s
-based contributions to Δ°V
m
. It is shown that both positive and negative volume change could be supported in a single alloy system in different composition regimes, depending on whether the effect of pressure on enthalpy is dominating over entropy effects of alloying or otherwise. Further, it is also established that entropy contribution to volume change is primarily influenced by volume expansion mismatch between solid solution and compositionally averaged end members. The thermodynamic analysis is supplemented by a phenomenological treatment of enthalpy contribution to volume change arising out of different microscopic contributions to mixing enthalpy. Possible thermodynamic justification of empirical polynomial representation of composition induced volume variation is also presented. An illustrative case study on volume effects accompanying the formation of
bcc
solid solution phase in U
1−
x
Zr
x
system is presented.</abstract><cop>New Delhi</cop><pub>Springer India</pub><doi>10.1007/s12666-022-02550-4</doi><tpages>11</tpages></addata></record> |
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| identifier | ISSN: 0972-2815 |
| ispartof | Transactions of the Indian Institute of Metals, 2022-04, Vol.75 (4), p.1031-1041 |
| issn | 0972-2815 0975-1645 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Alloy systems Alloying Chemistry and Materials Science Composition Corrosion and Coatings Empirical analysis Enthalpy Entropy Materials Science Mathematical analysis Metallic Materials Original Article Polynomials Pressure effects Solid solutions Thermodynamics Tribology |
| title | Volume Effects of Alloying: A Thermodynamic Perspective |
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