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CN104062422B - Prediction method of transition temperature and hardness of glass - Google Patents

Prediction method of transition temperature and hardness of glass Download PDF

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CN104062422B
CN104062422B CN201410255189.9A CN201410255189A CN104062422B CN 104062422 B CN104062422 B CN 104062422B CN 201410255189 A CN201410255189 A CN 201410255189A CN 104062422 B CN104062422 B CN 104062422B
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glass
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hardness
transition temperature
formula
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CN104062422A (en
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曾惠丹
蒋奇
刘钊
李响
季晓明
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East China University of Science and Technology
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Abstract

本发明玻璃的转变温度和硬度的预测方法,包括以下步骤:在步骤⑴之前先对一个同类样品进行网络形成体配位C1及玻璃的转变温度Tg1的测试,然后再进行以下的预测步骤;⑴玻璃结构信息检测;⑵结构配位和网络形成结构链维度计算;⑶玻璃的转变温度和硬度预测的计算公式;⑷玻璃的转变温度和硬度预测的计算结果。本发明经应用实施证明:能够精确预测玻璃的转变温度和硬度,尤其表现对未知性能的玻璃组成上;能大幅降低被检测玻璃样品的损坏数量,提高玻璃性能的测试效率并降低成本、缩短检测时间;操作简便,无需传统方法需要的大量热力学和动力学的参数就能对玻璃的性能进行修正。

The method for predicting the transition temperature and hardness of the glass of the present invention comprises the following steps: before step (1), a sample of the same type is tested for the coordination C1 of the network former and the transition temperature Tg1 of the glass, and then the following prediction steps are carried out ; ⑴ glass structure information detection; ⑵ structural coordination and network formation structural chain dimension calculation; ⑶ glass transition temperature and hardness prediction calculation formula; ⑷ glass transition temperature and hardness prediction calculation results. The application of the present invention proves that it can accurately predict the transition temperature and hardness of glass, especially for glass compositions with unknown properties; it can greatly reduce the number of damaged glass samples, improve the test efficiency of glass properties, reduce costs, and shorten testing Time; the operation is simple, and the performance of the glass can be corrected without a large number of thermodynamic and kinetic parameters required by the traditional method.

Description

玻璃的转变温度和硬度的预测方法Prediction method of transition temperature and hardness of glass

技术领域technical field

本发明属于玻璃材料性能表征测试技术领域,具体的,涉及一种玻璃的转变温度和硬度的预测方法。The invention belongs to the technical field of performance characterization testing of glass materials, and in particular relates to a method for predicting the transition temperature and hardness of glass.

背景技术Background technique

玻璃因其具有优良的透光性、成型性及力学性能已被广泛应用于各个工业领域。但是,因玻璃是高温熔体经快速冷却而形成的,对其热学性能的检测通常需要花费大量的时间和能耗,并且检测方法比较复杂。玻璃的转变温度是非常重要的热学性能参数,该参数对玻璃结构弛豫、减少内部缺陷有着重要的指导作用。室温下玻璃体相材料的硬度是决定其使用价值的重要标准,但是,因为玻璃是脆性材料,其常规测试方法是通过硬度计来检测硬度。但是,硬度测试对玻璃表面的光洁度也是有严苛的要求,会占用大量时间用于玻璃表面抛光。并且,如果硬度计的压头压力过大容易在玻璃表面留下裂纹,使得硬度测试的数据发生失真。目前,对玻璃的转变温度以及硬度尚无法实现无损检测。因此,提高对玻璃的转变温度和硬度的检测效率,检测时对样品形成的损伤尽可能小,能从微观结构出发正确评价玻璃的宏观性能,对玻璃的组成和设计能形成某种支持,是目前业界所普遍关注的。Glass has been widely used in various industrial fields because of its excellent light transmission, formability and mechanical properties. However, because glass is formed by rapid cooling of high-temperature melt, the detection of its thermal properties usually takes a lot of time and energy, and the detection method is relatively complicated. The transition temperature of glass is a very important thermal performance parameter, which plays an important guiding role in the relaxation of glass structure and the reduction of internal defects. The hardness of the glass bulk phase material at room temperature is an important criterion for determining its use value. However, because glass is a brittle material, its conventional testing method is to detect the hardness by a hardness tester. However, the hardness test also has strict requirements on the smoothness of the glass surface, which will take a lot of time for polishing the glass surface. Moreover, if the indenter pressure of the hardness tester is too high, it is easy to leave cracks on the glass surface, which will distort the data of the hardness test. At present, the transition temperature and hardness of glass cannot be tested non-destructively. Therefore, it is important to improve the detection efficiency of the transition temperature and hardness of the glass, minimize the damage to the sample during the detection, correctly evaluate the macroscopic performance of the glass from the microstructure, and form some support for the composition and design of the glass. At present, the industry is generally concerned.

目前,测定玻璃的转变温度和硬度常用的方法有Vogel-Fulcher-Tammann法和Avramov-Milchev法,它们都是通过与温度所对应的粘度来预测玻璃的转变温度的。但是,它们都存有不足,其中,Vogel-Fulcher-Tammann法在玻璃低温致密态时会出现预测失效的问题;而Avramov-Milchev法则在玻璃处于超冷液态时会出现预测失效。现在还没有一种预测方法能同时有效地解决玻璃随温度变化在不同状态下出现失真的问题。At present, the commonly used methods for measuring the transition temperature and hardness of glass are the Vogel-Fulcher-Tammann method and the Avramov-Milchev method, both of which predict the transition temperature of glass through the viscosity corresponding to the temperature. However, they all have shortcomings. Among them, the Vogel-Fulcher-Tammann method will fail to predict when the glass is in a low-temperature dense state; and the Avramov-Milchev method will fail to predict when the glass is in an ultra-cold liquid state. At present, there is no predictive method that can effectively solve the problem of glass distortion in different states with temperature changes.

针对玻璃硬度的表征方法,现有的方法主要是直接测试法,有“奴氏硬度法”、“维氏硬度法”等,它们都是以计算单位所产生的压痕面积作为所能承受压力的结果的,区别仅在于压头的形状和尺寸。显然,这种单一的测试方法不适合用于大批量不同组分玻璃硬度的检测。现在的研究发现:通过玻璃微观配位结构能实现随组分连续变化的性能评价,实现大规模的玻璃的转变温度和硬度的预测并能实现玻璃的无损检测和快速预测。For the characterization methods of glass hardness, the existing methods are mainly direct test methods, such as "Knoops hardness method", "Vickers hardness method", etc., they all use the indentation area generated by the calculation unit as the withstand pressure As a result, the difference is only in the shape and size of the indenter. Obviously, this single test method is not suitable for testing the hardness of glass with different components in large quantities. The current research has found that through the glass microcoordination structure, the performance evaluation that changes continuously with the components can be realized, the large-scale prediction of the transition temperature and hardness of the glass can be realized, and the non-destructive testing and rapid prediction of the glass can be realized.

发明内容Contents of the invention

本发明的目的在于解决上述的不足,提供一种玻璃的转变温度和硬度的预测方法,它能降低对大规模样品的测试成本,减少时间上的浪费和对样品本身的破坏,能对玻璃的转变温度和硬度给予精确预测,为玻璃成分及性能的设计提供重要的支持。The object of the present invention is to solve above-mentioned deficiency, provide a kind of transition temperature and the prediction method of hardness of glass, it can reduce the test cost to large-scale sample, reduce the waste on the time and damage to sample itself, can be to glass Accurate prediction of transition temperature and hardness provides important support for the design of glass composition and performance.

为实现上述目的,本发明采用了以下技术方案。In order to achieve the above object, the present invention adopts the following technical solutions.

采用微观结构表征方法在室温下获得随化学组成变化的各网络形成体x1、x2、x3……xn的配位情况,记录与每种网络形成体配位情况相对应的含量f1、f2、f3……fn,计算玻璃单位网络形成体配位C的表示为:Use the microstructure characterization method to obtain the coordination of each network former x 1 , x 2 , x 3 ... x n that varies with the chemical composition at room temperature, and record the content f corresponding to the coordination of each network former 1 , f 2 , f 3 ... f n , the calculation of the glass unit network former coordination C is expressed as:

一种玻璃的转变温度和硬度的预测方法,其特征是,包括以下步骤:A method for predicting transition temperature and hardness of glass, characterized in that it comprises the following steps:

(1)玻璃结构信息检测(1) Glass structure information detection

采用微观结构表征方法在室温下获得玻璃微观结构信息,即,随化学组成变化的各网络形成体x1、x2、x3……xn的配位情况,记录与每种网络形成体配位情况相对应的含量f1、f2、f3……fn,计算玻璃单位网络形成体配位C的公式为:Use the microstructure characterization method to obtain glass microstructure information at room temperature, that is, the coordination of each network former x 1 , x 2 , x 3 ... x n that varies with the chemical composition, and record the coordination with each network former The corresponding content f 1 , f 2 , f 3 ...f n of the position condition, the formula for calculating the coordination C of the glass unit network former is:

CC == [[ ΣΣ ii == 11 nno (( 22 xx nno -- 33 )) ff nno xx nno ++ 22 ff Oo ]] // Mm -- -- -- (( 11 )) ,,

式中,fO、M分别代表氧原子在玻璃原料中的含量和玻璃原子总数;In the formula, f O and M respectively represent the content of oxygen atoms in the glass raw material and the total number of glass atoms;

(2)玻璃转变温度的计算(2) Calculation of glass transition temperature

对一个同类样品进行网络形成体配位C1及玻璃的转变温度Tg1进行测试,并基于玻璃粘度与温度的变化关系,得到与玻璃的转变温度所对应的粘度与步骤(1)获得玻璃微观结构的关系,建立玻璃的转变温度Tg的理论计算模型,其计算公式为:A sample of the same kind is tested for the coordination C 1 of the network former and the transition temperature T g1 of the glass, and based on the change relationship between the viscosity of the glass and the temperature, the viscosity corresponding to the transition temperature of the glass and the step (1) to obtain the glass microscopic The relationship between the structure and the theoretical calculation model of the transition temperature T g of the glass is established, and the calculation formula is:

TT gg == TT gg 11 ×× (( 33 -- CC 11 )) 33 -- CC -- -- -- (( 22 )) ,,

式中:In the formula:

Tg1表示已知样品玻璃的转变温度,T g1 represents the transition temperature of the known sample glass,

C表示单位网络形成体配位,C represents the coordination of the unit network former,

C1表示已知样品网络形成体配位;C 1 means known sample network former coordination;

(3)硬度与玻璃微观结构相配位的线性变化值的计算(3) Calculation of the linear change value of the coordination between the hardness and the glass microstructure

采用硬度计测量玻璃样品的硬度值H1、H2……Hn,得到硬度与步骤(1)获得玻璃微观结构相配位的线性变化值L,其计算公式为:Use a hardness meter to measure the hardness values H 1 , H 2 ... H n of the glass sample, and obtain the linear change value L of the hardness and the coordination of the glass microstructure obtained in step (1), and the calculation formula is:

LL == ΣΣ ii == 11 nno Hh nno CC nno nno -- -- -- (( 33 )) ;;

式中:In the formula:

Cn表示随化学组成变化的网络形成体配位,当n=1时,即为步骤(2)中所述的一个同类样品进行网络形成体配位C1C n represents the network former coordination that changes with the chemical composition, when n=1, it is a sample of the same kind described in step (2) that carries out the network former coordination C 1 ;

(4)玻璃硬度和网络形成体结构链维度的计算(4) Calculation of glass hardness and network former structure chain dimension

根据玻璃网络结构链的维度,结合步骤(3)计算的测试硬度值与玻璃微观结构配位的线性变化关系,建立玻璃硬度H的计算公式:According to the dimensions of the glass network structure chain, combined with the linear change relationship between the test hardness value calculated in step (3) and the coordination of the glass microstructure, the calculation formula for the glass hardness H is established:

H=L×(C-d)(4),H=L×(C-d)(4),

式中,H表示玻璃硬度;L表示线性变化值;d表示玻璃单位网络形成体结构链维度;In the formula, H represents the glass hardness; L represents the linear change value; d represents the dimension of the glass unit network forming body structure chain;

所述玻璃单位网络形成体结构链维度d的计算公式为:The formula for calculating the structural chain dimension d of the glass unit network forming body is:

dd == ΣΣ ii == 11 nno (( 11 ++ xx nno 22 )) ff nno -- -- -- (( 88 )) ,,

式中,某网络形成体配位xn>4,则该项表示为3fnIn the formula, if a certain network former coordinates x n >4, then this item is expressed as 3f n .

进一步,在所述的步骤(1)之前包含对一个同类样品进行网络形成体配位C1及玻璃的转变温度Tg1的测试步骤。Further, before the step (1), it includes a test step of conducting a network former coordination C1 and a glass transition temperature T g1 on a sample of the same kind.

进一步,步骤(1)所述的微观结构表征方法包括核磁共振、拉曼光谱、红外光谱、X射线光电子能谱、X射线吸收精细结构光谱。Further, the microstructure characterization method described in step (1) includes nuclear magnetic resonance, Raman spectroscopy, infrared spectroscopy, X-ray photoelectron spectroscopy, and X-ray absorption fine structure spectroscopy.

进一步,步骤(2)还包括:用玻璃单位网络形成体配位来计算玻璃结构中原子在三维空间的自由度F,其计算公式为:Further, step (2) also includes: using the glass unit network to form body coordination to calculate the degree of freedom F of the atoms in the glass structure in three-dimensional space, the calculation formula is:

F=3-C(5);F=3-C(5);

将所述玻璃结构中原子在三维空间的自由度与玻璃结构熵S相关联,其计算公式为:The degree of freedom of the atoms in the glass structure in three-dimensional space is associated with the glass structure entropy S, and its calculation formula is:

S=FnBlnΩ(6),S=FnBlnΩ(6),

式中:In the formula:

n表示玻璃结构中的原子数目,n represents the number of atoms in the glass structure,

B表示玻璃结构的波尔兹曼常数,B represents the Boltzmann constant of the glass structure,

Ω表示玻璃结构中的原子自由度构型变化程度。Ω represents the degree of configuration change of atomic degrees of freedom in the glass structure.

进一步,将玻璃结构的熵值用于表达玻璃的粘度η,其表达式为:Further, the entropy value of glass structure is used to express the viscosity η of glass, and its expression is:

lglg ηη == lgηlgη ′′ ++ μμ TT SS -- -- -- (( 77 )) ,,

式中,η'表示玻璃在温度无限大时的粘度,In the formula, η' represents the viscosity of glass at infinite temperature,

μ表示玻璃在温度无限大时的热力学常数,μ represents the thermodynamic constant of glass at infinite temperature,

T表示玻璃在温度无限大时的温度;T represents the temperature of the glass at infinite temperature;

玻璃在温度无限大时的粘度η'为10-5Pa·s,玻璃的粘度η可认为是1012Pa·s,将之代入表达式(3)~表达式(6),得到预测玻璃的转变温度的计算模型。The viscosity η' of the glass at infinite temperature is 10 -5 Pa·s, and the viscosity η of the glass can be considered as 10 12 Pa·s. Substituting it into the expression (3)~expression (6), the predicted glass Calculation model of transition temperature.

本发明玻璃的转变温度和硬度的预测方法的积极效果是:The positive effects of the transition temperature of the glass of the present invention and the prediction method of hardness are:

(1)能够精确预测玻璃的转变温度和硬度,尤其表现对未知性能的玻璃组成上。(1) It can accurately predict the transition temperature and hardness of glass, especially for glass compositions with unknown properties.

(2)能大幅降低被检测玻璃样品的损坏数量,提高玻璃性能的测试效率并降低成本、缩短检测时间。(2) The number of damaged glass samples to be tested can be greatly reduced, the test efficiency of glass performance can be improved, the cost can be reduced, and the test time can be shortened.

(3)操作简便,无需传统方法需要的大量热力学和动力学的参数就能对玻璃的性能进行修正。(3) The operation is simple, and the performance of the glass can be corrected without a large number of thermodynamic and kinetic parameters required by the traditional method.

附图说明Description of drawings

图1为本发明玻璃的转变温度和硬度的预测方法的流程框图。Fig. 1 is a flow chart of the method for predicting the transition temperature and hardness of the glass of the present invention.

图2为10Na2O-35SiO2-55P2O5(摩尔百分比)玻璃的转变温度和硬度的测试值与预测值的比较图。Fig. 2 is a comparison chart of the transition temperature and hardness of the 10Na 2 O-35SiO 2 -55P 2 O 5 (mole percent) glass between the tested and predicted values.

具体实施方法Specific implementation method

以下结合附图提供本发明玻璃的转变温度和硬度的预测方法的具体实施方式,提供2个实施例,但是应该指出,本发明的实施不限于以下的实施方式。The specific implementation of the method for predicting the transition temperature and hardness of the glass of the present invention is provided below in conjunction with the accompanying drawings, and two examples are provided, but it should be pointed out that the implementation of the present invention is not limited to the following embodiments.

参见图1。一种玻璃的转变温度和硬度的预测方法,包括以下步骤:See Figure 1. A method for predicting transition temperature and hardness of glass, comprising the following steps:

先对一个同类样品进行网络形成体配位C1及玻璃的转变温度Tg1的测试,然后再进行以下的预测步骤。First test a similar sample for network former coordination C 1 and glass transition temperature T g1 , and then perform the following prediction steps.

(1)玻璃结构信息检测(1) Glass structure information detection

采用包括核磁共振、拉曼光谱、红外光谱、X射线光电子能谱、X射线吸收精细结构光谱的微观结构表征方法在室温下获得玻璃微观结构信息,即,随化学组成变化的各网络形成体x1、x2、x3……xn的配位情况,记录与每种网络形成体配位情况相对应的含量f1、f2、f3……fn,计算玻璃单位网络形成体配位C的公式为:Using microstructural characterization methods including nuclear magnetic resonance, Raman spectroscopy, infrared spectroscopy, X-ray photoelectron spectroscopy, and X-ray absorption fine-structure spectroscopy to obtain glass microstructure information at room temperature, that is, each network former that varies with chemical composition x 1 , x 2 , x 3 ... x n coordination, record the content f 1 , f 2 , f 3 ... f n corresponding to the coordination of each network former, and calculate the glass unit network former coordination The formula for bit C is:

CC == [[ ΣΣ ii == 11 nno (( 22 xx nno -- 33 )) ff nno xx nno ++ 22 ff Oo ]] // Mm -- -- -- (( 11 )) ,,

式中,fO、M分别代表氧原子在玻璃原料中的含量和玻璃原子总数。In the formula, f O and M represent the content of oxygen atoms in the glass raw material and the total number of glass atoms, respectively.

(2)玻璃转变温度的计算(2) Calculation of glass transition temperature

对一个同类样品进行网络形成体配位C1及玻璃的转变温度Tg1进行测试,并基于玻璃粘度与温度的变化关系,得到与玻璃的转变温度所对应的粘度与步骤(1)获得玻璃微观结构的关系,建立玻璃的转变温度Tg的理论计算模型,其计算公式为:A sample of the same kind is tested for the coordination C 1 of the network former and the transition temperature T g1 of the glass, and based on the change relationship between the viscosity of the glass and the temperature, the viscosity corresponding to the transition temperature of the glass and the step (1) to obtain the glass microscopic The relationship between the structure and the theoretical calculation model of the transition temperature T g of the glass is established, and the calculation formula is:

TT gg == TT gg 11 ×× (( 33 -- CC 11 )) 33 -- CC -- -- -- (( 22 )) ,,

式中:Tg1表示已知样品玻璃的转变温度,C表示单位网络形成体配位,C1表示已知样品网络形成体配位。In the formula: T g1 represents the transition temperature of the known sample glass, C represents the coordination of the unit network former, and C 1 represents the coordination of the known sample network former.

(3)硬度与玻璃微观结构相配位的线性变化值的计算(3) Calculation of the linear change value of the coordination between the hardness and the glass microstructure

采用硬度计测量玻璃样品的硬度值H1、H2……Hn,得到硬度与步骤(1)获得玻璃微观结构相配位的线性变化值L,其计算公式为:Use a hardness meter to measure the hardness values H 1 , H 2 ... H n of the glass sample, and obtain the linear change value L of the hardness and the coordination of the glass microstructure obtained in step (1), and the calculation formula is:

LL == ΣΣ ii == 11 nno Hh nno CC nno nno -- -- -- (( 33 )) ;;

式中:Cn表示随化学组成变化的网络形成体配位,当n=1时,即为步骤(2)中所述的一个同类样品进行网络形成体配位C1In the formula: C n represents the network former coordination that varies with the chemical composition, and when n=1, it is the network former coordination C 1 of a sample of the same kind described in step (2).

所述的步骤(2)还包括:用玻璃单位网络形成体配位来计算玻璃结构中原子在三维空间的自由度F,其计算公式为:The step (2) also includes: using the glass unit network to form body coordination to calculate the degree of freedom F of atoms in the glass structure in three-dimensional space, and the calculation formula is:

F=3-C(5)。F=3-C(5).

将所述玻璃结构中原子在三维空间的自由度与玻璃结构熵S相关联,其计算公式为:The degree of freedom of the atoms in the glass structure in three-dimensional space is associated with the glass structure entropy S, and its calculation formula is:

S=FnBlnΩ(6),S=FnBlnΩ(6),

式中:n表示玻璃结构中的原子数目,B表示玻璃结构的波尔兹曼常数,Ω表示玻璃结构中的原子自由度构型变化程度。In the formula: n represents the number of atoms in the glass structure, B represents the Boltzmann constant of the glass structure, and Ω represents the degree of configuration change of the atomic degree of freedom in the glass structure.

将所述的玻璃结构的熵值用于表达玻璃的粘度η,其表达式为:The entropy value of described glass structure is used to express the viscosity η of glass, and its expression is:

lglg ηη == lgηlgη ′′ ++ μμ TT SS -- -- -- (( 77 )) ,,

式中,η'表示玻璃在温度无限大时的粘度,μ表示玻璃在温度无限大时的热力学常数,T表示玻璃在温度无限大时的温度。In the formula, η' represents the viscosity of the glass at an infinite temperature, μ represents the thermodynamic constant of the glass at an infinite temperature, and T represents the temperature of the glass at an infinite temperature.

玻璃在温度无限大时的粘度η'为10-5Pa·s,玻璃的粘度η可认为是1012Pa·s,将之代入计算公式(3)~计算公式(6),得到预测玻璃的转变温度的计算模型。The viscosity η' of the glass at infinite temperature is 10 -5 Pa·s, and the viscosity η of the glass can be considered as 10 12 Pa·s. Substituting it into the calculation formula (3) ~ calculation formula (6), the predicted glass Calculation model of transition temperature.

(4)玻璃硬度和网络形成体结构链维度的计算(4) Calculation of glass hardness and network former structure chain dimension

根据玻璃网络结构链的维度,结合步骤(3)计算的测试硬度值与玻璃微观结构配位的线性变化关系,建立玻璃硬度H的计算公式:According to the dimensions of the glass network structure chain, combined with the linear change relationship between the test hardness value calculated in step (3) and the coordination of the glass microstructure, the calculation formula for the glass hardness H is established:

H=L×(C-d)(4),H=L×(C-d)(4),

式中,H表示玻璃硬度;L表示线性变化值;d表示玻璃单位网络形成体结构链维度。In the formula, H represents the glass hardness; L represents the linear change value; d represents the structural chain dimension of the glass unit network forming body.

所述的步骤(4)还包括玻璃网络结构链的维度d,其计算公式为:Described step (4) also comprises the dimension d of glass network structure chain, and its calculation formula is:

dd == ΣΣ ii == 11 nno (( 11 ++ xx nno 22 )) ff nno -- -- -- (( 88 )) ,,

式中,某网络形成体配位xn>4,则该项表示为3fnIn the formula, if a certain network former coordinates x n >4, then this item is expressed as 3f n .

以下提供本发明玻璃的转变温度和硬度的预测方法的两个应用实施例。Two application examples of the method for predicting the transition temperature and hardness of the glass of the present invention are provided below.

应用实施例1Application Example 1

采用熔制冷却法制备的玻璃样品,然后对玻璃的转变温度和硬度进行预测。Glass samples prepared by the melting cooling method are then used to predict the transition temperature and hardness of the glass.

将玻璃样品进行破碎研磨获得玻璃粉末,进行玻璃的转变温度的测试:升温速度为10K/min,氮气气氛,用比较预测方法计算结果。The glass sample is crushed and ground to obtain glass powder, and the transition temperature of the glass is tested: the heating rate is 10K/min, nitrogen atmosphere, and the results are calculated by the comparative prediction method.

对玻璃样品表面进行镜面抛光,使用维氏硬度计,压力为0.98N,在玻璃样品表面停留10s,然后在显微镜下观察其裂纹尺寸,裂纹应小于100nm,获得玻璃样品的硬度值,可用于模型的建立和比较预测方法的计算结果。Mirror polish the surface of the glass sample, use a Vickers hardness tester, the pressure is 0.98N, stay on the surface of the glass sample for 10s, and then observe the crack size under the microscope, the crack should be less than 100nm, and obtain the hardness value of the glass sample, which can be used in the model The calculation results of the establishment and comparison of forecasting methods.

对玻璃样品10Na2O-35SiO2-55P2O5(摩尔百分比)使用结构配位表征获得网络形成体配位xn及其fn含量分别为6.8%的六配位硅氧结构、17.4%的四配位硅氧结构、62.0%的三配位磷氧结构和13.8%的二配位磷氧结构。通过本发明的预测方法的计算公式(1)获得单位网络形成体配位C在高温下的值为2.34,得到纯P2O5的单位网络形成体配位C1和玻璃的转变温度Tg1分别为3.00和590K,将C、C1、Tg1代入本发明的预测方法的计算公式(2),获得玻璃的转变温度Tg为695K,与测试值689K误差仅<1%,结果如图2所示。The glass sample 10Na 2 O-35SiO 2 -55P 2 O 5 (mole percent) was characterized by structural coordination to obtain a hexacoordinated silicon-oxygen structure with a network former coordination x n and f n content of 6.8%, 17.4% Four-coordinated silicon-oxygen structure, 62.0% three-coordinated phosphorus-oxygen structure and 13.8% two-coordinated phosphorus-oxygen structure. Through the calculation formula ( 1 ) of the prediction method of the present invention, the value of the unit network former coordination C at high temperature is 2.34, and the unit network former coordination C1 of pure P2O5 and the transition temperature T g1 of the glass are obtained. are 3.00 and 590K respectively, and substituting C, C 1 , and T g1 into the calculation formula (2) of the prediction method of the present invention, the transition temperature T g of the glass obtained is 695K, and the error with the test value of 689K is only <1%. The result is shown in the figure 2.

结合部分组分相近的玻璃样品的硬度测试值获得钠磷硅玻璃的硬度与结构配位的关系L为11.3,根据网络形成体配位xn及其fn含量通过本发明的预测方法的计算公式(3)计算单位网络形成体配位C在室温下为3.02,根据结构配位表征获得网络形成体配位xn及其fn含量通过本发明的预测方法的计算公式(8)得到玻璃网络结构链的维度d为2.55,将L、C、D分别代入本发明的预测方法的计算公式(2)获得玻璃硬度为4.88GPa,这与测试值4.87~4.89GPa一致,结果如图2所示。Combining the hardness test values of some glass samples with similar components, the relationship between the hardness and structural coordination of sodium phosphosilicate glass is obtained. Formula (3) calculates that the unit network former coordination C is 3.02 at room temperature, and the network former coordination x n and its f n content are obtained according to the structural coordination characterization, and the glass is obtained by calculation formula (8) of the prediction method of the present invention The dimension d of the network structure chain is 2.55, and L, C, and D are respectively substituted into the calculation formula (2) of the prediction method of the present invention to obtain a glass hardness of 4.88GPa, which is consistent with the test value of 4.87~4.89GPa, and the result is shown in Figure 2 Show.

应用实施例2Application Example 2

采用熔制冷却法制备的玻璃样品,对玻璃的转变温度和硬度进行预测(预测的准备工作同实施例1)。The transition temperature and hardness of the glass are predicted by using the glass sample prepared by the melting and cooling method (preparation for the prediction is the same as in Example 1).

对玻璃样品33K2O-33B2O3-34P2O5(摩尔百分比)使用结构配位表征获得网络形成体配位xn及其fn含量分别为33%的四配位硼氧结构、49.8%的三配位磷氧结构和17.2%的二配位磷氧结构。通过本发明的预测方法的计算公式(1)获得单位网络形成体配位C在高温下的值为1.86,得到纯P2O5的单位网络形成体配位C1和玻璃的转变温度Tg1分别为3.00和590K,将C、C1、Tg1代入本发明的预测方法的计算公式(4)获得玻璃的转变温度Tg为657K,这与测试值655K误差仅<0.3%。Using structural coordination characterization of the glass sample 33K 2 O-33B 2 O 3 -34P 2 O 5 (mole percent), the four-coordinate boron-oxygen structure with the network former coordination x n and f n content of 33% respectively, 49.8% of the three-coordinated phosphorus-oxygen structure and 17.2% of the two-coordinated phosphorus-oxygen structure. Through the calculation formula ( 1 ) of the prediction method of the present invention, the value of the unit network former coordination C at high temperature is 1.86, and the unit network former coordination C1 of pure P2O5 and the transition temperature T g1 of the glass are obtained. They are 3.00 and 590K respectively. Substituting C, C 1 , and T g1 into the calculation formula (4) of the prediction method of the present invention obtains a glass transition temperature T g of 657K, which has an error of less than 0.3% from the test value of 655K.

从实施例1~2的结果可见:采用本发明的预测方法能很好地预测玻璃的转变温度和硬度值。From the results of Examples 1-2, it can be seen that the transition temperature and hardness value of the glass can be well predicted by the prediction method of the present invention.

Claims (3)

1. the transition temperature of glass and a Forecasting Methodology for hardness, is characterized in that, comprise the following steps:
(1) glass structure infomation detection
Microstructure characterization method is adopted at room temperature to obtain glass micromechanism information, that is, with each Network former x of chemical composition change 1, x 2, x 3x ncoordination situation, record the content f corresponding with often kind of Network former coordination situation 1, f 2, f 3f n, the formula calculating glass identity network organizator coordination C is:
C = &lsqb; &Sigma; i = 1 n ( 2 x n - 3 ) f n x n + 2 f O &rsqb; / M - - - ( 1 ) ,
In formula, f o, the M respectively content of represention oxygen atom in frit and glass total atom number;
Comprised before described step (1) and Network former coordination C is carried out to a similar sample 1and the transition temperature T of glass g1testing procedure;
(2) calculating of glass transformation temperature
Based on the variation relation of glass viscosity and temperature, obtain the relation obtaining glass micromechanism with the viscosity corresponding to the transition temperature of glass and step (1), set up the transition temperature T of glass gtheoretical calculation model, its computing formula is:
T g = T g 1 &times; ( 3 - C 1 ) 3 - C - - - ( 2 ) ,
In formula:
T g1represent the transition temperature of known sample glass,
The coordination of C representation unit Network former,
C 1represent the coordination of known sample Network former;
(3) calculating of the linear change value of hardness and the coordination of glass phase microstructure
Adopt the hardness number H of Durometer measurements glass sample 1, H 2h n, obtain the linear change value L that hardness and step (1) obtain the coordination of glass phase microstructure, its computing formula is:
L = &Sigma; i = 1 n H n C n n - - - ( 3 ) ;
In formula:
C nrepresent the Network former coordination with chemical composition change;
(4) calculating of glass hard (HRC65Yi Shang) and Network former structural chain dimension
According to the dimension of glass network structural chain, the linear changing relation of the tested for hardness value that integrating step (3) calculates and the coordination of glass micromechanism, sets up the computing formula of glass hard (HRC65Yi Shang) H:
H=L×(C-d)(4),
In formula, H represents glass hard (HRC65Yi Shang); L represents linear change value; D represents glass identity network organizator structural chain dimension;
The computing formula of described glass identity network organizator structural chain dimension d is:
d = &Sigma; i = 1 n ( 1 + x n 2 ) f n - - - ( 8 ) ,
In formula, certain Network former coordination x n> 4, then this is expressed as 3f n.
2. the transition temperature of glass according to claim 1 and the Forecasting Methodology of hardness, it is characterized in that, the Microstructure characterization method described in step (1) comprises nuclear magnetic resonance, Raman spectrum, infrared spectrum, x-ray photoelectron power spectrum, X ray Absorption Fine Structure spectrum.
3. the transition temperature of glass according to claim 1 and the Forecasting Methodology of hardness, it is characterized in that, step (2) also comprises: calculate glass structure Atom at three-dimensional degree of freedom F with the coordination of glass identity network organizator, its computing formula is:
F=3-C(5);
Associated with glass structure entropy S-phase in three-dimensional degree of freedom by described glass structure Atom, its computing formula is:
S=FnBlnΩ(6),
In formula:
N represents the atom number in glass structure,
B represents the Boltzmann constant of glass structure,
Ω represents the atom degree of freedom change of configuration degree in glass structure.
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