Solubility Products and Equilibrium Equations of Carbonitrides in Steels: Thermodynamic Calculations
Thermodynamic models are established to deduce solubility products of titanium, niobium and vanadium carbonitrides in austenite and ferrite containing solid solution elements, respectively. Equilibrium equations are introduced to approximate the fraction and specific chemical formula of carbonitride...
Gespeichert in:
| Veröffentlicht in: | Metallurgical and materials transactions. A, Physical metallurgy and materials science Physical metallurgy and materials science, 2021-06, Vol.52 (6), p.2173-2184 |
|---|---|
| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 2184 |
|---|---|
| container_issue | 6 |
| container_start_page | 2173 |
| container_title | Metallurgical and materials transactions. A, Physical metallurgy and materials science |
| container_volume | 52 |
| creator | Lei, Xuan-Wei Yang, Rong-Bo Ding, Jia-Jun Zhang, Xue-Hui Lai, Chao-Bin Liang, Tong-Xiang |
| description | Thermodynamic models are established to deduce solubility products of titanium, niobium and vanadium carbonitrides in austenite and ferrite containing solid solution elements, respectively. Equilibrium equations are introduced to approximate the fraction and specific chemical formula of carbonitride in steels under given compositions. The thermodynamic interaction parameters in the solubility product expressions of these carbonitrides are sifted through the best agreements on calculation results and measured data from references. It is shown that (i) the deduced solubility products in this study are in accordance with previous studies; (ii) the fraction and specific chemical formula of carbonitride depends on both the temperature and the composition of the steel; and (iii) the formation of niobium carbonitride in steels can promote the precipitation of niobium when the mole ratio of carbon in carbonitride is small. This study can guide titanium, niobium and vanadium microalloying in low carbon steels and provide references for solubility product deducing and the fraction and chemical formula calculations of other ternary compounds in steels. The deduced solubility products of carbonitrides are (solubility products of carbides and nitrides are referenced from our previous work)
log
γ
/
α
K
TiC
x
N
1
-
x
≅
x
log
γ
/
α
K
TiC
+
1
-
x
log
γ
/
α
K
TiN
+
x
1
-
x
121
T
+
x
log
x
+
1
-
x
log
1
-
x
log
γ
/
α
K
NbC
x
N
1
-
x
≅
x
log
γ
/
α
K
NbC
+
1
-
x
log
γ
/
α
K
NbN
+
x
1
-
x
98
T
+
x
log
x
+
1
-
x
log
1
-
x
log
γ
/
α
K
VC
x
N
1
-
x
≅
x
log
γ
/
α
K
VC
+
1
-
x
log
γ
/
α
K
VN
+
x
1
-
x
13
T
+
x
log
x
+
1
-
x
log
1
-
x |
| doi_str_mv | 10.1007/s11661-021-06184-x |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2521269670</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2521269670</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-d6462175e08d738195686244a658878f7799e3821ddb9a5e9f34997ecea28cf83</originalsourceid><addsrcrecordid>eNp9kEtLAzEUhYMoWKt_wFXA9WgeM3m4k1IfICi0rkNmktGUmUmbZKD996aO4M7F5R4u55wLHwDXGN1ihPhdxJgxXCCSh2FRFvsTMMNVSQssS3SaNeK0qBih5-Aixg1CCEvKZsCsfDfWrnPpAN-DN2OTItSDgcvdmK91cGN_1Do5P0ToW7jQofaDS8EZG6Eb4CpZ28V7uP6yoffmMOjeNdnWNWM3xS7BWau7aK9-9xx8PC7Xi-fi9e3pZfHwWjQUy1QYVjKCeWWRMJwKLCsmGClLzSohuGg5l9JSQbAxtdSVlS0tpeS2sZqIphV0Dm6m3m3wu9HGpDZ-DEN-qUhFMGGScZRdZHI1wccYbKu2wfU6HBRG6khTTTRVpql-aKp9DtEpFLN5-LThr_qf1DdnF3jt</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2521269670</pqid></control><display><type>article</type><title>Solubility Products and Equilibrium Equations of Carbonitrides in Steels: Thermodynamic Calculations</title><source>SpringerLink Journals</source><creator>Lei, Xuan-Wei ; Yang, Rong-Bo ; Ding, Jia-Jun ; Zhang, Xue-Hui ; Lai, Chao-Bin ; Liang, Tong-Xiang</creator><creatorcontrib>Lei, Xuan-Wei ; Yang, Rong-Bo ; Ding, Jia-Jun ; Zhang, Xue-Hui ; Lai, Chao-Bin ; Liang, Tong-Xiang</creatorcontrib><description>Thermodynamic models are established to deduce solubility products of titanium, niobium and vanadium carbonitrides in austenite and ferrite containing solid solution elements, respectively. Equilibrium equations are introduced to approximate the fraction and specific chemical formula of carbonitride in steels under given compositions. The thermodynamic interaction parameters in the solubility product expressions of these carbonitrides are sifted through the best agreements on calculation results and measured data from references. It is shown that (i) the deduced solubility products in this study are in accordance with previous studies; (ii) the fraction and specific chemical formula of carbonitride depends on both the temperature and the composition of the steel; and (iii) the formation of niobium carbonitride in steels can promote the precipitation of niobium when the mole ratio of carbon in carbonitride is small. This study can guide titanium, niobium and vanadium microalloying in low carbon steels and provide references for solubility product deducing and the fraction and chemical formula calculations of other ternary compounds in steels. The deduced solubility products of carbonitrides are (solubility products of carbides and nitrides are referenced from our previous work)
log
γ
/
α
K
TiC
x
N
1
-
x
≅
x
log
γ
/
α
K
TiC
+
1
-
x
log
γ
/
α
K
TiN
+
x
1
-
x
121
T
+
x
log
x
+
1
-
x
log
1
-
x
log
γ
/
α
K
NbC
x
N
1
-
x
≅
x
log
γ
/
α
K
NbC
+
1
-
x
log
γ
/
α
K
NbN
+
x
1
-
x
98
T
+
x
log
x
+
1
-
x
log
1
-
x
log
γ
/
α
K
VC
x
N
1
-
x
≅
x
log
γ
/
α
K
VC
+
1
-
x
log
γ
/
α
K
VN
+
x
1
-
x
13
T
+
x
log
x
+
1
-
x
log
1
-
x</description><identifier>ISSN: 1073-5623</identifier><identifier>EISSN: 1543-1940</identifier><identifier>DOI: 10.1007/s11661-021-06184-x</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Carbon ; Characterization and Evaluation of Materials ; Chemistry and Materials Science ; Composition ; Equilibrium ; Equilibrium equations ; Formulas (mathematics) ; Interaction parameters ; Low carbon steels ; Materials Science ; Metallic Materials ; Microalloying ; Nanotechnology ; Niobium carbonitride ; Original Research Article ; Solid solutions ; Solubility ; Structural Materials ; Surfaces and Interfaces ; Thermodynamic models ; Thin Films ; Titanium ; Vanadium</subject><ispartof>Metallurgical and materials transactions. A, Physical metallurgy and materials science, 2021-06, Vol.52 (6), p.2173-2184</ispartof><rights>The Minerals, Metals & Materials Society and ASM International 2021</rights><rights>The Minerals, Metals & Materials Society and ASM International 2021.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-d6462175e08d738195686244a658878f7799e3821ddb9a5e9f34997ecea28cf83</citedby><cites>FETCH-LOGICAL-c319t-d6462175e08d738195686244a658878f7799e3821ddb9a5e9f34997ecea28cf83</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/s11661-021-06184-x$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11661-021-06184-x$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Lei, Xuan-Wei</creatorcontrib><creatorcontrib>Yang, Rong-Bo</creatorcontrib><creatorcontrib>Ding, Jia-Jun</creatorcontrib><creatorcontrib>Zhang, Xue-Hui</creatorcontrib><creatorcontrib>Lai, Chao-Bin</creatorcontrib><creatorcontrib>Liang, Tong-Xiang</creatorcontrib><title>Solubility Products and Equilibrium Equations of Carbonitrides in Steels: Thermodynamic Calculations</title><title>Metallurgical and materials transactions. A, Physical metallurgy and materials science</title><addtitle>Metall Mater Trans A</addtitle><description>Thermodynamic models are established to deduce solubility products of titanium, niobium and vanadium carbonitrides in austenite and ferrite containing solid solution elements, respectively. Equilibrium equations are introduced to approximate the fraction and specific chemical formula of carbonitride in steels under given compositions. The thermodynamic interaction parameters in the solubility product expressions of these carbonitrides are sifted through the best agreements on calculation results and measured data from references. It is shown that (i) the deduced solubility products in this study are in accordance with previous studies; (ii) the fraction and specific chemical formula of carbonitride depends on both the temperature and the composition of the steel; and (iii) the formation of niobium carbonitride in steels can promote the precipitation of niobium when the mole ratio of carbon in carbonitride is small. This study can guide titanium, niobium and vanadium microalloying in low carbon steels and provide references for solubility product deducing and the fraction and chemical formula calculations of other ternary compounds in steels. The deduced solubility products of carbonitrides are (solubility products of carbides and nitrides are referenced from our previous work)
log
γ
/
α
K
TiC
x
N
1
-
x
≅
x
log
γ
/
α
K
TiC
+
1
-
x
log
γ
/
α
K
TiN
+
x
1
-
x
121
T
+
x
log
x
+
1
-
x
log
1
-
x
log
γ
/
α
K
NbC
x
N
1
-
x
≅
x
log
γ
/
α
K
NbC
+
1
-
x
log
γ
/
α
K
NbN
+
x
1
-
x
98
T
+
x
log
x
+
1
-
x
log
1
-
x
log
γ
/
α
K
VC
x
N
1
-
x
≅
x
log
γ
/
α
K
VC
+
1
-
x
log
γ
/
α
K
VN
+
x
1
-
x
13
T
+
x
log
x
+
1
-
x
log
1
-
x</description><subject>Carbon</subject><subject>Characterization and Evaluation of Materials</subject><subject>Chemistry and Materials Science</subject><subject>Composition</subject><subject>Equilibrium</subject><subject>Equilibrium equations</subject><subject>Formulas (mathematics)</subject><subject>Interaction parameters</subject><subject>Low carbon steels</subject><subject>Materials Science</subject><subject>Metallic Materials</subject><subject>Microalloying</subject><subject>Nanotechnology</subject><subject>Niobium carbonitride</subject><subject>Original Research Article</subject><subject>Solid solutions</subject><subject>Solubility</subject><subject>Structural Materials</subject><subject>Surfaces and Interfaces</subject><subject>Thermodynamic models</subject><subject>Thin Films</subject><subject>Titanium</subject><subject>Vanadium</subject><issn>1073-5623</issn><issn>1543-1940</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp9kEtLAzEUhYMoWKt_wFXA9WgeM3m4k1IfICi0rkNmktGUmUmbZKD996aO4M7F5R4u55wLHwDXGN1ihPhdxJgxXCCSh2FRFvsTMMNVSQssS3SaNeK0qBih5-Aixg1CCEvKZsCsfDfWrnPpAN-DN2OTItSDgcvdmK91cGN_1Do5P0ToW7jQofaDS8EZG6Eb4CpZ28V7uP6yoffmMOjeNdnWNWM3xS7BWau7aK9-9xx8PC7Xi-fi9e3pZfHwWjQUy1QYVjKCeWWRMJwKLCsmGClLzSohuGg5l9JSQbAxtdSVlS0tpeS2sZqIphV0Dm6m3m3wu9HGpDZ-DEN-qUhFMGGScZRdZHI1wccYbKu2wfU6HBRG6khTTTRVpql-aKp9DtEpFLN5-LThr_qf1DdnF3jt</recordid><startdate>20210601</startdate><enddate>20210601</enddate><creator>Lei, Xuan-Wei</creator><creator>Yang, Rong-Bo</creator><creator>Ding, Jia-Jun</creator><creator>Zhang, Xue-Hui</creator><creator>Lai, Chao-Bin</creator><creator>Liang, Tong-Xiang</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>4T-</scope><scope>4U-</scope><scope>7SR</scope><scope>7XB</scope><scope>88I</scope><scope>8AF</scope><scope>8AO</scope><scope>8BQ</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JG9</scope><scope>KB.</scope><scope>L6V</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0X</scope></search><sort><creationdate>20210601</creationdate><title>Solubility Products and Equilibrium Equations of Carbonitrides in Steels: Thermodynamic Calculations</title><author>Lei, Xuan-Wei ; Yang, Rong-Bo ; Ding, Jia-Jun ; Zhang, Xue-Hui ; Lai, Chao-Bin ; Liang, Tong-Xiang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-d6462175e08d738195686244a658878f7799e3821ddb9a5e9f34997ecea28cf83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Carbon</topic><topic>Characterization and Evaluation of Materials</topic><topic>Chemistry and Materials Science</topic><topic>Composition</topic><topic>Equilibrium</topic><topic>Equilibrium equations</topic><topic>Formulas (mathematics)</topic><topic>Interaction parameters</topic><topic>Low carbon steels</topic><topic>Materials Science</topic><topic>Metallic Materials</topic><topic>Microalloying</topic><topic>Nanotechnology</topic><topic>Niobium carbonitride</topic><topic>Original Research Article</topic><topic>Solid solutions</topic><topic>Solubility</topic><topic>Structural Materials</topic><topic>Surfaces and Interfaces</topic><topic>Thermodynamic models</topic><topic>Thin Films</topic><topic>Titanium</topic><topic>Vanadium</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lei, Xuan-Wei</creatorcontrib><creatorcontrib>Yang, Rong-Bo</creatorcontrib><creatorcontrib>Ding, Jia-Jun</creatorcontrib><creatorcontrib>Zhang, Xue-Hui</creatorcontrib><creatorcontrib>Lai, Chao-Bin</creatorcontrib><creatorcontrib>Liang, Tong-Xiang</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Docstoc</collection><collection>University Readers</collection><collection>Engineered Materials Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>STEM Database</collection><collection>ProQuest Pharma Collection</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</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>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>Materials Research Database</collection><collection>Materials Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</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><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>SIRS Editorial</collection><jtitle>Metallurgical and materials transactions. A, Physical metallurgy and materials science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lei, Xuan-Wei</au><au>Yang, Rong-Bo</au><au>Ding, Jia-Jun</au><au>Zhang, Xue-Hui</au><au>Lai, Chao-Bin</au><au>Liang, Tong-Xiang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Solubility Products and Equilibrium Equations of Carbonitrides in Steels: Thermodynamic Calculations</atitle><jtitle>Metallurgical and materials transactions. A, Physical metallurgy and materials science</jtitle><stitle>Metall Mater Trans A</stitle><date>2021-06-01</date><risdate>2021</risdate><volume>52</volume><issue>6</issue><spage>2173</spage><epage>2184</epage><pages>2173-2184</pages><issn>1073-5623</issn><eissn>1543-1940</eissn><abstract>Thermodynamic models are established to deduce solubility products of titanium, niobium and vanadium carbonitrides in austenite and ferrite containing solid solution elements, respectively. Equilibrium equations are introduced to approximate the fraction and specific chemical formula of carbonitride in steels under given compositions. The thermodynamic interaction parameters in the solubility product expressions of these carbonitrides are sifted through the best agreements on calculation results and measured data from references. It is shown that (i) the deduced solubility products in this study are in accordance with previous studies; (ii) the fraction and specific chemical formula of carbonitride depends on both the temperature and the composition of the steel; and (iii) the formation of niobium carbonitride in steels can promote the precipitation of niobium when the mole ratio of carbon in carbonitride is small. This study can guide titanium, niobium and vanadium microalloying in low carbon steels and provide references for solubility product deducing and the fraction and chemical formula calculations of other ternary compounds in steels. The deduced solubility products of carbonitrides are (solubility products of carbides and nitrides are referenced from our previous work)
log
γ
/
α
K
TiC
x
N
1
-
x
≅
x
log
γ
/
α
K
TiC
+
1
-
x
log
γ
/
α
K
TiN
+
x
1
-
x
121
T
+
x
log
x
+
1
-
x
log
1
-
x
log
γ
/
α
K
NbC
x
N
1
-
x
≅
x
log
γ
/
α
K
NbC
+
1
-
x
log
γ
/
α
K
NbN
+
x
1
-
x
98
T
+
x
log
x
+
1
-
x
log
1
-
x
log
γ
/
α
K
VC
x
N
1
-
x
≅
x
log
γ
/
α
K
VC
+
1
-
x
log
γ
/
α
K
VN
+
x
1
-
x
13
T
+
x
log
x
+
1
-
x
log
1
-
x</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11661-021-06184-x</doi><tpages>12</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1073-5623 |
| ispartof | Metallurgical and materials transactions. A, Physical metallurgy and materials science, 2021-06, Vol.52 (6), p.2173-2184 |
| issn | 1073-5623 1543-1940 |
| language | eng |
| recordid | cdi_proquest_journals_2521269670 |
| source | SpringerLink Journals |
| subjects | Carbon Characterization and Evaluation of Materials Chemistry and Materials Science Composition Equilibrium Equilibrium equations Formulas (mathematics) Interaction parameters Low carbon steels Materials Science Metallic Materials Microalloying Nanotechnology Niobium carbonitride Original Research Article Solid solutions Solubility Structural Materials Surfaces and Interfaces Thermodynamic models Thin Films Titanium Vanadium |
| title | Solubility Products and Equilibrium Equations of Carbonitrides in Steels: Thermodynamic Calculations |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T02%3A14%3A35IST&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=Solubility%20Products%20and%20Equilibrium%20Equations%20of%20Carbonitrides%20in%20Steels:%20Thermodynamic%20Calculations&rft.jtitle=Metallurgical%20and%20materials%20transactions.%20A,%20Physical%20metallurgy%20and%20materials%20science&rft.au=Lei,%20Xuan-Wei&rft.date=2021-06-01&rft.volume=52&rft.issue=6&rft.spage=2173&rft.epage=2184&rft.pages=2173-2184&rft.issn=1073-5623&rft.eissn=1543-1940&rft_id=info:doi/10.1007/s11661-021-06184-x&rft_dat=%3Cproquest_cross%3E2521269670%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=2521269670&rft_id=info:pmid/&rfr_iscdi=true |