Oliver L. G. Alderman, Chris J. Benmore, Bryce Reynolds, Brock Royle, Steve Feller, Rick J. K. Weber
{"title":"硼酸锂玻璃形成熔体中与局部结构相关的液体脆性最大值","authors":"Oliver L. G. Alderman, Chris J. Benmore, Bryce Reynolds, Brock Royle, Steve Feller, Rick J. K. Weber","doi":"10.1111/ijag.16611","DOIUrl":null,"url":null,"abstract":"<p>The structure of liquid lithium pyroborate, Li<sub>4</sub>B<sub>2</sub>O<sub>5</sub> (<i>J</i> = Li/B = 2), has been measured over a wide temperature range by high-energy X-ray diffraction, and compared to that of its glass and borate liquids of other compositions. The results indicate a gradual increase in tetrahedral boron fraction from 3(1)% to 6(1)% during cooling from <i>T</i> = 1271(15) to 721(8) K, consistent with the larger <i>N</i><sub>4</sub> = 10(1)% found for the glass, and literature <sup>11</sup>B nuclear magnetic resonance measurements. van't Hoff analysis based on a simple boron isomerization reaction BØ<sub>3</sub>O<sup>2</sup><sup>–</sup> ⇌ BØO<sub>2</sub><sup>2–</sup> yields Δ<i>H</i> = 13(1) kJ mol<sup>–1</sup> and Δ<i>S</i> = 40(1) J mol<sup>–1</sup> K<sup>–1</sup> for the boron coordination change from 4 to 3, which are, respectively, smaller and larger than found for singly charged isomers for <i>J</i> ≤ 1. With these, we extend our model for <i>N</i><sub>4</sub>(<i>J</i>, <i>T</i>), nonbridging oxygen fraction <i>f</i><sub>nbr</sub>(<i>J</i>, <i>T</i>), configurational heat capacity <math>\n <semantics>\n <mrow>\n <msubsup>\n <mi>C</mi>\n <mi>P</mi>\n <mi>conf</mi>\n </msubsup>\n <mrow>\n <mo>(</mo>\n <mi>J</mi>\n <mo>,</mo>\n <mi>T</mi>\n <mo>)</mo>\n </mrow>\n </mrow>\n <annotation>$C_{\\rm{P}}^{{\\rm{conf}}}(J,T)$</annotation>\n </semantics></math>, and entropy <i>S</i><sup>conf</sup>(<i>J</i>, <i>T</i>) contributions up to <i>J</i> = 3. A maximum is revealed in <math>\n <semantics>\n <mrow>\n <msubsup>\n <mi>C</mi>\n <mi>P</mi>\n <mi>conf</mi>\n </msubsup>\n <mrow>\n <mo>(</mo>\n <mi>J</mi>\n <mo>,</mo>\n <mi>T</mi>\n <mo>=</mo>\n <msub>\n <mi>T</mi>\n <mi>g</mi>\n </msub>\n <mo>)</mo>\n </mrow>\n </mrow>\n <annotation>$C_{\\rm{P}}^{{\\rm{conf}}}(J,T = {T_{\\rm{g}}})$</annotation>\n </semantics></math> at <i>J</i> = 1, and shown semi-quantitatively to lead to a corresponding maximum in fragility contribution, akin to that observed in the total fragilities by temperature-modulated differential scanning calorimetry. Lithium is bound to 4.6(2) oxygen in the pyroborate liquid, with 2.7(1) bonds centered around 1.946(8) Å and 1.9(1) around 2.42(1) Å. In the glass, <i>n</i><sub>LiO</sub> = 5.4(4), the increase being due to an increase in the number of short Li–O bonds.</p>","PeriodicalId":13850,"journal":{"name":"International Journal of Applied Glass Science","volume":"14 1","pages":"52-68"},"PeriodicalIF":2.1000,"publicationDate":"2022-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/ijag.16611","citationCount":"3","resultStr":"{\"title\":\"Liquid fragility maximum in lithium borate glass-forming melts related to the local structure\",\"authors\":\"Oliver L. G. Alderman, Chris J. Benmore, Bryce Reynolds, Brock Royle, Steve Feller, Rick J. K. Weber\",\"doi\":\"10.1111/ijag.16611\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The structure of liquid lithium pyroborate, Li<sub>4</sub>B<sub>2</sub>O<sub>5</sub> (<i>J</i> = Li/B = 2), has been measured over a wide temperature range by high-energy X-ray diffraction, and compared to that of its glass and borate liquids of other compositions. The results indicate a gradual increase in tetrahedral boron fraction from 3(1)% to 6(1)% during cooling from <i>T</i> = 1271(15) to 721(8) K, consistent with the larger <i>N</i><sub>4</sub> = 10(1)% found for the glass, and literature <sup>11</sup>B nuclear magnetic resonance measurements. van't Hoff analysis based on a simple boron isomerization reaction BØ<sub>3</sub>O<sup>2</sup><sup>–</sup> ⇌ BØO<sub>2</sub><sup>2–</sup> yields Δ<i>H</i> = 13(1) kJ mol<sup>–1</sup> and Δ<i>S</i> = 40(1) J mol<sup>–1</sup> K<sup>–1</sup> for the boron coordination change from 4 to 3, which are, respectively, smaller and larger than found for singly charged isomers for <i>J</i> ≤ 1. With these, we extend our model for <i>N</i><sub>4</sub>(<i>J</i>, <i>T</i>), nonbridging oxygen fraction <i>f</i><sub>nbr</sub>(<i>J</i>, <i>T</i>), configurational heat capacity <math>\\n <semantics>\\n <mrow>\\n <msubsup>\\n <mi>C</mi>\\n <mi>P</mi>\\n <mi>conf</mi>\\n </msubsup>\\n <mrow>\\n <mo>(</mo>\\n <mi>J</mi>\\n <mo>,</mo>\\n <mi>T</mi>\\n <mo>)</mo>\\n </mrow>\\n </mrow>\\n <annotation>$C_{\\\\rm{P}}^{{\\\\rm{conf}}}(J,T)$</annotation>\\n </semantics></math>, and entropy <i>S</i><sup>conf</sup>(<i>J</i>, <i>T</i>) contributions up to <i>J</i> = 3. A maximum is revealed in <math>\\n <semantics>\\n <mrow>\\n <msubsup>\\n <mi>C</mi>\\n <mi>P</mi>\\n <mi>conf</mi>\\n </msubsup>\\n <mrow>\\n <mo>(</mo>\\n <mi>J</mi>\\n <mo>,</mo>\\n <mi>T</mi>\\n <mo>=</mo>\\n <msub>\\n <mi>T</mi>\\n <mi>g</mi>\\n </msub>\\n <mo>)</mo>\\n </mrow>\\n </mrow>\\n <annotation>$C_{\\\\rm{P}}^{{\\\\rm{conf}}}(J,T = {T_{\\\\rm{g}}})$</annotation>\\n </semantics></math> at <i>J</i> = 1, and shown semi-quantitatively to lead to a corresponding maximum in fragility contribution, akin to that observed in the total fragilities by temperature-modulated differential scanning calorimetry. Lithium is bound to 4.6(2) oxygen in the pyroborate liquid, with 2.7(1) bonds centered around 1.946(8) Å and 1.9(1) around 2.42(1) Å. In the glass, <i>n</i><sub>LiO</sub> = 5.4(4), the increase being due to an increase in the number of short Li–O bonds.</p>\",\"PeriodicalId\":13850,\"journal\":{\"name\":\"International Journal of Applied Glass Science\",\"volume\":\"14 1\",\"pages\":\"52-68\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2022-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1111/ijag.16611\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Applied Glass Science\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1111/ijag.16611\",\"RegionNum\":3,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, CERAMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Applied Glass Science","FirstCategoryId":"88","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/ijag.16611","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CERAMICS","Score":null,"Total":0}
Liquid fragility maximum in lithium borate glass-forming melts related to the local structure
The structure of liquid lithium pyroborate, Li4B2O5 (J = Li/B = 2), has been measured over a wide temperature range by high-energy X-ray diffraction, and compared to that of its glass and borate liquids of other compositions. The results indicate a gradual increase in tetrahedral boron fraction from 3(1)% to 6(1)% during cooling from T = 1271(15) to 721(8) K, consistent with the larger N4 = 10(1)% found for the glass, and literature 11B nuclear magnetic resonance measurements. van't Hoff analysis based on a simple boron isomerization reaction BØ3O2– ⇌ BØO22– yields ΔH = 13(1) kJ mol–1 and ΔS = 40(1) J mol–1 K–1 for the boron coordination change from 4 to 3, which are, respectively, smaller and larger than found for singly charged isomers for J ≤ 1. With these, we extend our model for N4(J, T), nonbridging oxygen fraction fnbr(J, T), configurational heat capacity , and entropy Sconf(J, T) contributions up to J = 3. A maximum is revealed in at J = 1, and shown semi-quantitatively to lead to a corresponding maximum in fragility contribution, akin to that observed in the total fragilities by temperature-modulated differential scanning calorimetry. Lithium is bound to 4.6(2) oxygen in the pyroborate liquid, with 2.7(1) bonds centered around 1.946(8) Å and 1.9(1) around 2.42(1) Å. In the glass, nLiO = 5.4(4), the increase being due to an increase in the number of short Li–O bonds.
期刊介绍:
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