{"title":"非晶合金玻璃化转变的加热速率依赖所得到的黏度与实测黏度相符的条件","authors":"Qian Gao, Junfeng Xu","doi":"10.1016/j.jnoncrysol.2025.123722","DOIUrl":null,"url":null,"abstract":"<div><div>The conditions of the coincidence between viscosity <em>η</em><sup>τ</sup>(<em>T</em>) obtained by the heating rate dependence of glass transition and the measured viscosity <em>η</em>(<em>T</em>) are studied. It is found that <em>G<sub>η</sub></em>(<em>T</em>)/<em>G</em><sub>0</sub> can be used to judge the degree of the coincidence between <em>η</em><sup>τ</sup>(<em>T</em>) and <em>η</em>(<em>T</em>), where <em>G<sub>η</sub></em>(<em>T</em>) and <em>G</em><sub>0</sub> are <em>η</em>(<em>T</em>)/<em>τ</em><sub>trans</sub>(<em>T</em>) (transition time) and <em>η</em><sub>0</sub>/<em>τ</em>trans 0(the pre-exponential factor of <em>η</em>(<em>T</em>) and <em>τ</em><sub>trans</sub>(<em>T</em>)), respectively. <em>η</em><sup>τ</sup>(<em>T</em>) will be the same with <em>η</em>(<em>T</em>) in whole temperature range when <em>G<sub>η</sub></em>(<em>T</em>)/<em>G</em><sub>0</sub> equals 1; Conversely, <em>η</em><sup>τ</sup>(<em>T</em>) will depart from <em>η</em>(<em>T</em>) when <em>G<sub>η</sub></em>(<em>T</em>)/<em>G</em><sub>0</sub> does not equal 1. The greater the difference between <em>G<sub>η</sub></em>(<em>T</em>) and <em>G</em><sub>0</sub> is, the greater the degree of underestimate or overestimate for <em>η</em>(<em>T</em>) is. The reason why ideal glass transition temperature <em>T</em><sub>g</sub><sup>0</sup> and strength parameter <em>D</em><sub>q</sub> obtained by <em>T</em><sub>g</sub><sup>onset</sup>(<em>q</em><sub>H</sub>) with three unrestricted fitting parameters depart from ideal glass transition temperature <em>T<sup>η</sup></em> 0 and strength parameter <em>D<sub>η</sub></em> obtained by viscosity results from the constant <em>A</em><sub>q</sub> of <em>T</em><sub>g</sub><sup>onset</sup>(<em>q</em><sub>H</sub>) equation is excessively less than the constant (<em>VG</em><sub>η</sub>Δ<em>T</em><sub>g</sub>)/<em>N</em><sub>A</sub><em>h</em>, where <em>N</em><sub>A</sub>, <em>h, V, G<sub>η</sub></em> and Δ<em>T</em><sub>g</sub> are Avogadro’s constant, Planck’s constant, the molar volume, a scaling factor and the width of the glass transition region.</div></div>","PeriodicalId":16461,"journal":{"name":"Journal of Non-crystalline Solids","volume":"666 ","pages":"Article 123722"},"PeriodicalIF":3.5000,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The conditions of the coincidence between viscosity obtained by the heating rate dependence of glass transition and the measured viscosity for amorphous alloys\",\"authors\":\"Qian Gao, Junfeng Xu\",\"doi\":\"10.1016/j.jnoncrysol.2025.123722\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The conditions of the coincidence between viscosity <em>η</em><sup>τ</sup>(<em>T</em>) obtained by the heating rate dependence of glass transition and the measured viscosity <em>η</em>(<em>T</em>) are studied. It is found that <em>G<sub>η</sub></em>(<em>T</em>)/<em>G</em><sub>0</sub> can be used to judge the degree of the coincidence between <em>η</em><sup>τ</sup>(<em>T</em>) and <em>η</em>(<em>T</em>), where <em>G<sub>η</sub></em>(<em>T</em>) and <em>G</em><sub>0</sub> are <em>η</em>(<em>T</em>)/<em>τ</em><sub>trans</sub>(<em>T</em>) (transition time) and <em>η</em><sub>0</sub>/<em>τ</em>trans 0(the pre-exponential factor of <em>η</em>(<em>T</em>) and <em>τ</em><sub>trans</sub>(<em>T</em>)), respectively. <em>η</em><sup>τ</sup>(<em>T</em>) will be the same with <em>η</em>(<em>T</em>) in whole temperature range when <em>G<sub>η</sub></em>(<em>T</em>)/<em>G</em><sub>0</sub> equals 1; Conversely, <em>η</em><sup>τ</sup>(<em>T</em>) will depart from <em>η</em>(<em>T</em>) when <em>G<sub>η</sub></em>(<em>T</em>)/<em>G</em><sub>0</sub> does not equal 1. The greater the difference between <em>G<sub>η</sub></em>(<em>T</em>) and <em>G</em><sub>0</sub> is, the greater the degree of underestimate or overestimate for <em>η</em>(<em>T</em>) is. The reason why ideal glass transition temperature <em>T</em><sub>g</sub><sup>0</sup> and strength parameter <em>D</em><sub>q</sub> obtained by <em>T</em><sub>g</sub><sup>onset</sup>(<em>q</em><sub>H</sub>) with three unrestricted fitting parameters depart from ideal glass transition temperature <em>T<sup>η</sup></em> 0 and strength parameter <em>D<sub>η</sub></em> obtained by viscosity results from the constant <em>A</em><sub>q</sub> of <em>T</em><sub>g</sub><sup>onset</sup>(<em>q</em><sub>H</sub>) equation is excessively less than the constant (<em>VG</em><sub>η</sub>Δ<em>T</em><sub>g</sub>)/<em>N</em><sub>A</sub><em>h</em>, where <em>N</em><sub>A</sub>, <em>h, V, G<sub>η</sub></em> and Δ<em>T</em><sub>g</sub> are Avogadro’s constant, Planck’s constant, the molar volume, a scaling factor and the width of the glass transition region.</div></div>\",\"PeriodicalId\":16461,\"journal\":{\"name\":\"Journal of Non-crystalline Solids\",\"volume\":\"666 \",\"pages\":\"Article 123722\"},\"PeriodicalIF\":3.5000,\"publicationDate\":\"2025-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Non-crystalline Solids\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022309325003382\",\"RegionNum\":3,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATERIALS SCIENCE, CERAMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Non-crystalline Solids","FirstCategoryId":"88","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022309325003382","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, CERAMICS","Score":null,"Total":0}
The conditions of the coincidence between viscosity obtained by the heating rate dependence of glass transition and the measured viscosity for amorphous alloys
The conditions of the coincidence between viscosity ητ(T) obtained by the heating rate dependence of glass transition and the measured viscosity η(T) are studied. It is found that Gη(T)/G0 can be used to judge the degree of the coincidence between ητ(T) and η(T), where Gη(T) and G0 are η(T)/τtrans(T) (transition time) and η0/τtrans 0(the pre-exponential factor of η(T) and τtrans(T)), respectively. ητ(T) will be the same with η(T) in whole temperature range when Gη(T)/G0 equals 1; Conversely, ητ(T) will depart from η(T) when Gη(T)/G0 does not equal 1. The greater the difference between Gη(T) and G0 is, the greater the degree of underestimate or overestimate for η(T) is. The reason why ideal glass transition temperature Tg0 and strength parameter Dq obtained by Tgonset(qH) with three unrestricted fitting parameters depart from ideal glass transition temperature Tη 0 and strength parameter Dη obtained by viscosity results from the constant Aq of Tgonset(qH) equation is excessively less than the constant (VGηΔTg)/NAh, where NA, h, V, Gη and ΔTg are Avogadro’s constant, Planck’s constant, the molar volume, a scaling factor and the width of the glass transition region.
期刊介绍:
The Journal of Non-Crystalline Solids publishes review articles, research papers, and Letters to the Editor on amorphous and glassy materials, including inorganic, organic, polymeric, hybrid and metallic systems. Papers on partially glassy materials, such as glass-ceramics and glass-matrix composites, and papers involving the liquid state are also included in so far as the properties of the liquid are relevant for the formation of the solid.
In all cases the papers must demonstrate both novelty and importance to the field, by way of significant advances in understanding or application of non-crystalline solids; in the case of Letters, a compelling case must also be made for expedited handling.