Invariant Equilibria in Multicomponent Systems
The translation method for predicting and constructing equilibrium phase diagrams of multicomponent systems is developed based on the compatibility of structural elements of partial constituent ( n- component) systems and the general ( n + 1)-component system with account for the requirements of the...
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| Veröffentlicht in: | Russian journal of inorganic chemistry 2019-07, Vol.64 (7), p.894-898 |
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| container_title | Russian journal of inorganic chemistry |
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| creator | Soliev, L. |
| description | The translation method for predicting and constructing equilibrium phase diagrams of multicomponent systems is developed based on the compatibility of structural elements of partial constituent (
n-
component) systems and the general (
n +
1)-component system with account for the requirements of the Gibbs phase rule. The invariant equilibrium states in the five-component system NaCl
–
KCl
–
MgCl
2
–
CaCl
2
–
H
2
O at 25°C are studied. This multicomponent system features the options of invariant equilibria where one and the same composition of equilibrium solid phases can be in equilibrium with saturated solutions of differing concentrations. Therefore, this invariant equilibrium is to be reflected in the diagram as a geometric (invariant) image that has a dimension (it may be conventionally referred to as a quasi-point) and not by a point. The dimension of this image is determined by the concentration bounds of components in the equilibrium saturated solution. |
| doi_str_mv | 10.1134/S0036023619070167 |
| format | Article |
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n-
component) systems and the general (
n +
1)-component system with account for the requirements of the Gibbs phase rule. The invariant equilibrium states in the five-component system NaCl
–
KCl
–
MgCl
2
–
CaCl
2
–
H
2
O at 25°C are studied. This multicomponent system features the options of invariant equilibria where one and the same composition of equilibrium solid phases can be in equilibrium with saturated solutions of differing concentrations. Therefore, this invariant equilibrium is to be reflected in the diagram as a geometric (invariant) image that has a dimension (it may be conventionally referred to as a quasi-point) and not by a point. The dimension of this image is determined by the concentration bounds of components in the equilibrium saturated solution.</description><identifier>ISSN: 0036-0236</identifier><identifier>EISSN: 1531-8613</identifier><identifier>DOI: 10.1134/S0036023619070167</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Calcium chloride ; Chemistry ; Chemistry and Materials Science ; Equilibrium ; Inorganic Chemistry ; Invariants ; Magnesium chloride ; Phase diagrams ; Phase rule ; Physicochemical Analysis of Inorganic Systems ; Solid phases ; Structural members</subject><ispartof>Russian journal of inorganic chemistry, 2019-07, Vol.64 (7), p.894-898</ispartof><rights>Pleiades Publishing, Ltd. 2019</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-103f8a63af1a1663ce0d98a0ca4e1782a8ba51d3f5e4eebdf9c1e10d86519f5d3</citedby><cites>FETCH-LOGICAL-c316t-103f8a63af1a1663ce0d98a0ca4e1782a8ba51d3f5e4eebdf9c1e10d86519f5d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0036023619070167$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0036023619070167$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Soliev, L.</creatorcontrib><title>Invariant Equilibria in Multicomponent Systems</title><title>Russian journal of inorganic chemistry</title><addtitle>Russ. J. Inorg. Chem</addtitle><description>The translation method for predicting and constructing equilibrium phase diagrams of multicomponent systems is developed based on the compatibility of structural elements of partial constituent (
n-
component) systems and the general (
n +
1)-component system with account for the requirements of the Gibbs phase rule. The invariant equilibrium states in the five-component system NaCl
–
KCl
–
MgCl
2
–
CaCl
2
–
H
2
O at 25°C are studied. This multicomponent system features the options of invariant equilibria where one and the same composition of equilibrium solid phases can be in equilibrium with saturated solutions of differing concentrations. Therefore, this invariant equilibrium is to be reflected in the diagram as a geometric (invariant) image that has a dimension (it may be conventionally referred to as a quasi-point) and not by a point. The dimension of this image is determined by the concentration bounds of components in the equilibrium saturated solution.</description><subject>Calcium chloride</subject><subject>Chemistry</subject><subject>Chemistry and Materials Science</subject><subject>Equilibrium</subject><subject>Inorganic Chemistry</subject><subject>Invariants</subject><subject>Magnesium chloride</subject><subject>Phase diagrams</subject><subject>Phase rule</subject><subject>Physicochemical Analysis of Inorganic Systems</subject><subject>Solid phases</subject><subject>Structural members</subject><issn>0036-0236</issn><issn>1531-8613</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kE9Lw0AQxRdRMEY_gLeA59SZTLLZHKVUW6h4qJ7DJtmVlPzrbiL027shggfxNAzv_d4wj7F7hBUixY8HAOIQEccMUkCeXjAPE8JQcKRL5s1yOOvX7MbaI0AcQyo8ttp1X9LUshuDzWmqm7pwS1B3wevUjHXZt0PfKSceznZUrb1lV1o2Vt39TJ99PG_e19tw__ayWz_tw5KQjyECaSE5SY0SOadSQZUJCaWMFaYikqKQCVakExUrVVQ6K1EhVIInmOmkIp89LLmD6U-TsmN-7CfTuZN5FKVEBODe9hkurtL01hql88HUrTTnHCGfa8n_1OKYaGGs83afyvwm_w99A2z9Y08</recordid><startdate>20190701</startdate><enddate>20190701</enddate><creator>Soliev, L.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190701</creationdate><title>Invariant Equilibria in Multicomponent Systems</title><author>Soliev, L.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-103f8a63af1a1663ce0d98a0ca4e1782a8ba51d3f5e4eebdf9c1e10d86519f5d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Calcium chloride</topic><topic>Chemistry</topic><topic>Chemistry and Materials Science</topic><topic>Equilibrium</topic><topic>Inorganic Chemistry</topic><topic>Invariants</topic><topic>Magnesium chloride</topic><topic>Phase diagrams</topic><topic>Phase rule</topic><topic>Physicochemical Analysis of Inorganic Systems</topic><topic>Solid phases</topic><topic>Structural members</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Soliev, L.</creatorcontrib><collection>CrossRef</collection><jtitle>Russian journal of inorganic chemistry</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Soliev, L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Invariant Equilibria in Multicomponent Systems</atitle><jtitle>Russian journal of inorganic chemistry</jtitle><stitle>Russ. J. Inorg. Chem</stitle><date>2019-07-01</date><risdate>2019</risdate><volume>64</volume><issue>7</issue><spage>894</spage><epage>898</epage><pages>894-898</pages><issn>0036-0236</issn><eissn>1531-8613</eissn><abstract>The translation method for predicting and constructing equilibrium phase diagrams of multicomponent systems is developed based on the compatibility of structural elements of partial constituent (
n-
component) systems and the general (
n +
1)-component system with account for the requirements of the Gibbs phase rule. The invariant equilibrium states in the five-component system NaCl
–
KCl
–
MgCl
2
–
CaCl
2
–
H
2
O at 25°C are studied. This multicomponent system features the options of invariant equilibria where one and the same composition of equilibrium solid phases can be in equilibrium with saturated solutions of differing concentrations. Therefore, this invariant equilibrium is to be reflected in the diagram as a geometric (invariant) image that has a dimension (it may be conventionally referred to as a quasi-point) and not by a point. The dimension of this image is determined by the concentration bounds of components in the equilibrium saturated solution.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0036023619070167</doi><tpages>5</tpages></addata></record> |
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| identifier | ISSN: 0036-0236 |
| ispartof | Russian journal of inorganic chemistry, 2019-07, Vol.64 (7), p.894-898 |
| issn | 0036-0236 1531-8613 |
| language | eng |
| recordid | cdi_proquest_journals_2273330011 |
| source | SpringerNature Journals |
| subjects | Calcium chloride Chemistry Chemistry and Materials Science Equilibrium Inorganic Chemistry Invariants Magnesium chloride Phase diagrams Phase rule Physicochemical Analysis of Inorganic Systems Solid phases Structural members |
| title | Invariant Equilibria in Multicomponent Systems |
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