{"title":"Homologous Series of Chemical Compounds in Three-component Systems (Aa+ – Bb+ – Cc–) and (Zn2+ - Ge4+ - P3-) in Generalized Form","authors":"K. UndalovYu, Homologous, Undalov Yu","doi":"10.61927/igmin117","DOIUrl":null,"url":null,"abstract":"For the first time, a method for calculating formulas of homologous series of chemical compounds of the systems (Aa+ – Bb+ – Cc–) and {Zn2+ – Ge4+ – P3–} in a generalized form is presented. The calculation is confirmed by the literature experimentally obtained compounds: thirteen compounds of the system (Na+ – Ti4+ – O2–), seven – systems (Li+ – Ti4+ – O2–), five – systems (K+ – V5+ – – O2–), eight – systems (Ba2+ – Cu2+ – O2–). Homological series in (Aa+ – Bb+ – Cc–) have the following generalized form: A{t – k·r + nr – r)bcBracC{t – k·r + nr)ab and AtbcB{r – k·t + nt – t}acC (r – k·t + nt)ab. In (Zn2+ – Ge4+ – P3–) systems for the m-group the formulas of homologous series, that develops towards Ge3P4, have the following generalized form: Zn6tGe(6r – 6kt + 6n – 6t)P(8r – 8kt + 8n) and for αm-homologous series – Zn6Ge3nP4(n + 1). A method for calculating formulas of homologous series of chemical compounds in a generalized form can be used for any system of chemical elements.","PeriodicalId":509147,"journal":{"name":"IgMin Research","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IgMin Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.61927/igmin117","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
For the first time, a method for calculating formulas of homologous series of chemical compounds of the systems (Aa+ – Bb+ – Cc–) and {Zn2+ – Ge4+ – P3–} in a generalized form is presented. The calculation is confirmed by the literature experimentally obtained compounds: thirteen compounds of the system (Na+ – Ti4+ – O2–), seven – systems (Li+ – Ti4+ – O2–), five – systems (K+ – V5+ – – O2–), eight – systems (Ba2+ – Cu2+ – O2–). Homological series in (Aa+ – Bb+ – Cc–) have the following generalized form: A{t – k·r + nr – r)bcBracC{t – k·r + nr)ab and AtbcB{r – k·t + nt – t}acC (r – k·t + nt)ab. In (Zn2+ – Ge4+ – P3–) systems for the m-group the formulas of homologous series, that develops towards Ge3P4, have the following generalized form: Zn6tGe(6r – 6kt + 6n – 6t)P(8r – 8kt + 8n) and for αm-homologous series – Zn6Ge3nP4(n + 1). A method for calculating formulas of homologous series of chemical compounds in a generalized form can be used for any system of chemical elements.