泡生法生长蓝宝石单晶的热场改进与模拟优化

在泡生法蓝宝石单晶生长中,单晶炉内的热场对晶体质量至关重要.本文首先对单晶炉的顶部热屏、环形加热器和炉底保温进行了改进,然后结合计算机数值模拟,对热场改进前、后晶体的轴向和径向温度梯度、晶体表面温度分布、加热器功率等进行分析对比.结果表明:改进后的倾斜热屏增强了单晶炉内的辐射传热,对已生长出的晶体起到了后热作用,降低了晶体内的热应力;对加热器和底部钼保温层的改进,减小了加热器与坩埚间的热阻,增强了炉内的保温作用,使加热功率降低了约8%.     

氟化钙单晶炉温场的计算机模拟及改进

对氟化钙晶体生长炉的顶部保温、加热器和下保温装置进行了改进研究.结合数值模拟,对改进前后晶体的轴向温度梯度、径向温度梯度和固液界面附近温度分布进行了对比分析.模拟结果表明,改进了顶部保温后增加了晶体炉内的辐射传热,有效降低了温度梯度,减小了晶体内热应力从而避免了晶体开裂;对加热器和底部保温进行改进后,减少了坩埚底部的热损失,相同温度时降低了加热功率.     

泡生法蓝宝石单晶不同生长阶段的数值模拟研究

针对泡生法蓝宝石单晶生长的不同生长阶段的温场、流场和固液界面形状进行数值模拟研究.并分析了加热器相对坩埚的轴向位置和不同生长速率对蓝宝石单晶生长的影响.结果表明:在蓝宝石单晶生长中,在靠近坩埚壁面和固液界面的熔体内,等温线密,温度梯度较大;在靠近坩埚底部的熔体内,等温线稀疏,温度梯度较小.随着晶体高度的增加,熔体对流由放肩阶段的两个涡胞变成等径阶段的一个涡胞,熔体平均温度有小幅度下降;加热器相对坩埚的轴向位置对晶体生长炉内温场和固液界面形状影响很大,随着加热器位置上移,晶体内平均温度升高,温度梯度减小;熔体内平均温度降低,温度梯度增大.同时固液界面凸度增大.随着晶体生长速率增大,固液界面凸度增大,界面更加凸向熔体.     

泡生法蓝宝石晶体炉不同保温屏材料的性能比较分析

泡生法蓝宝石晶体炉内保温屏是炉内温场的重要部件,并对晶体生长有重要影响.本文对不同的保温屏材料的影响进行了计算分析.通过分析加热功率、晶体温度分布、固液界面形状,比较钨钼、石墨、氧化锆三种材料的保温屏的保温性能和对晶体生长的影响,结果表明:氧化锆保温性能优于钨钼保温屏,而石墨保温性能最差.选用钨钼保温屏和氧化锆保温屏晶体温度分布较为接近,且高于选用石墨保温屏时的温度分布.石墨保温屏对应的固液界面形状最大,钨钼屏其次,而氧化锆材料时形状最平缓.     

降温速率对三维温度梯度法蓝宝石单晶影响的数值模拟

通过有限元分析方法对三维温度梯度法(3DGF)单晶炉内的温场进行数值模拟计算,发现固液交界面附近存在较大的温度梯度,易导致晶体开裂;通过改进坩埚内壁锥度,调整底部隔热屏的结构,选择合适的降温程序取得了较好的实验效果.结果表明,在三维温度梯度法蓝宝石晶体生长过程中,合适的温度梯度和控温程序能够缩短生长周期,提高晶体质量.     

泡生法生长蓝宝石晶体中固液界面形状的数值模拟研究

在泡生法蓝宝石单晶生长中,固液界面形状对晶体生长质量影响极大.本文针对泡生法蓝宝石晶体生长进行数值模拟,研究了晶体半透明性、放肩角、底部钼屏保温层厚度、加热器侧部和底部功率分配比等对固液界面形状的影响.模拟结果发现:不考虑蓝宝石晶体的半透明性,则固液界面凹向熔体生长,反之则固液界面凸向熔体生长;放肩角增大、底部钼屏保温层增厚,都造成固液界面凸度减小;加热器侧部与底部的功率比增大,则固液界面凸度增大.实际的固液界面形状取决于多种参数的综合作用.     

热交换器中氦气流量对生长蓝宝石温场影响的研究

采用热交换法生长蓝宝石晶体,通过数值模拟与实验研究了晶体生长过程中热交换器中氦气流量对温场的影响.结果表明:晶体生长过程中固液界面为近弧面;随氦气流量增大,晶体与熔体的温度下降,温度梯度增大;加热器功率缓慢上升.     

热屏间距对泡生法蓝宝石单晶生长影响研究

太空、军事和科研等高科技领域的持续发展极大促进了对蓝宝石晶体的需求,泡生法是蓝宝石晶体的主要制造方法之一;热场结构对所得蓝宝石晶体的质量具有重要影响.本文对采用泡生法工艺制造蓝宝石单晶过程中,具有内置7层氧化锆外置8层钼金属的新型热屏结构间距进行研究.通过数值模拟考察热屏间距对单晶炉功率、固-液界面形状和晶体热应力的影响确定了合理的热场结构;并与试验生产结果进行对比验证.结果表明:热屏间距增大使得单晶炉功率明显提升,并引起固-液界面凸度增大;而蓝宝石晶体热应力出现减小.综合考察三个影响因素的影响,最后确定热屏间距为5 mm时单晶炉能耗较低,可用于制造高质量的蓝宝石晶体.     

蓝宝石单晶生长坩埚热应力分析

针对蓝宝石单晶生长过程中因热应力集中坩埚使用寿命短问题,基于ANSYS有限元分析,对晶体熔化过程中的坩埚进行瞬态传热分析,在此基础上进行不同情况下热-结构耦合分析,计算得出晶体完全熔化后坩埚的热应力分布情况.分析显示:最大热应力存在于坩埚与托盘结合处;在满足晶体生长条件下,减缓升温速度,减小温度梯度,增大托杆中间空隙,改变托盘托杆材料等方法可以减小热应力.     

热屏结构对泡生法蓝宝石单晶炉功率影响研究

蓝宝石晶体因优异的综合性能被广泛用于航空航天等高性能要求领域.泡生法是目前生产大直径蓝宝石单晶的主要方法,热场对生产工艺、产品质量和单晶炉功率具有重要影响;并将影响生产成本.本文对氧化锆及钼金属组合式热屏中氧化锆材料内置、外置及材料不同组合方式对泡生法蓝宝石单晶炉功率的影响进行研究,得到合理的热场结构;并与实际生产结果进行验证.结果表明:相比于传统的15层钼保温结构,加入氧化锆保温层会明显降低单晶炉能耗,其中氧化锆内置的热场结构对单晶炉能耗降低影响更为明显;随着氧化锆层由0增加至15层,单晶炉能耗显著降低,相比传统15层钼保温结构,15层氧化锆保温结构炉体功率降低了38;.     

Modelling of mechanism of agglomeration of KCl crystallization

The article presents an analysis into agglomeration during KCl vacuum crystallization. The theoretical and experimental investigations into the mechanism of agglomeration during mass crystallization result in an extension of the growth phenomena within the known model equations. The basis for this is essentially constituted by the collision model concepts of the theory of floculation in disperse systems. The parameters derived from the microprocess analysis (energy dissipation, content of solids, growth rate of individual grains) lead to model equations which are confirmed by laboratory and test trials.     

Relationship of Morphological Types of Dynamic Forms of Crystals

Crystallography Reports - The relationship of morphological spectra (sets of data on the morphological types of real polyhedral crystals and their probabilities under current physicochemical...     

Velocities of Disappearance and Lifetime of Faces of Growing Crystals

The formulae for absolute R_disap and relative R velocities of disappearance and lifetime τ of faces of growing crystals have been derived for stationary growth. It was shown that the quantities are determined by the relative growth velocity R_A/R_critA of the vanishing face A with respect to the critical growth velocity R_critA and by the geometry of a crystal expressed by the trigonometric functions of interfacial angles β and γ formed between face A and the adjacent faces. R increases and τ decreases with the increase in R_A/R_critA to certain limiting values. The calculations have been verified and illustrated by the experimental results for triclinic potassium bichromate (KBC) crystals. Results enable ones to predict values of velocities of disappearance and lifetimes of undesirable, supplementary faces of any real crystal.     

Development of Pauling's concepts of geometric characteristics of atoms

The evolution of the geometric characteristics introduced by Pauling and their dependence on the specific features of the structure and chemical bonds have been considered. The values of the covalent and van der Waals radii are given as well as their relationships and mutual transitions.     

Comparative analysis of two methods of calculation of the orientation of domain walls in ferroelastics

Two types of domain-wall equations are analyzed: the equations derived by the Sapriel method and the equations obtained by interface matching of the thermal-expansion tensor. It is shown that, for W-type domain walls, these methods yield the same equations. For W′-type domain walls, the equations obtained by different methods coincide for proper ferroelastics and differ for improper ferroelastics.     

Dependence of the parameters of equations of viscous flow on chemical composition of silicate melts

The temperature dependence of viscosity of silicate melts is discussed in the framework of the Avramov–Milchev (AM) equation. The composition is described by means of two parameters: the molar fraction, x, and the “lubricant fraction”, l. The molar fraction is the sum of the molar parts x_i of all oxides dissolved in SiO₂, the molar fraction of the latter being 1 ? x. It is shown that, with sufficient precision, two of the parameters of the AM equation can be presented as unique functions of the molar fraction. On the other hand, x is not sufficient to determine properly the reference temperature T_r , at which viscosity is η_r = 10¹³ [dPa.s]. Therefore, additional parameter, “lubricant fraction” l, is introduced. For each of the components, l_i is a product of molar part x_i and a specific dimensionless coefficient 0 ≤ k_i ≤ 1 accounting for the specific contribution of this component to the increased mobility of the system. It is demonstrated that, for l > 0, the reference temperature is related to the “lubricant fraction” l through the reference temperature T_r,SiO2 of pure SiO₂.     

A review of measurement of thermophysical properties of silicon melt

Measurements of thermophysical properties of Si melt and supplementary study of X-ray scattering/diffraction by the authors' group were reviewed. The values obtained differed variously from those of literature. Density was 2–3% larger, surface tension 20–30% smaller, viscosity up to 40% larger, electrical conductivity 8% smaller, spectral emissivity more or less in good agreement with literature values, and thermal diffusivity a few percent larger. An anomalous density jump was found near the melting point. Surface tension and viscosity also showed anomaly. A strange time-dependent change of density was observed over 3 h after melting. X-ray analyses suggested a slight change in local atom ordering, but showed no sign of cluster formation. An addition of 0.1 at% gallium caused the density jump to disappear, while that of boron caused no change. An EXAFS study of the former melt indicated a strong interaction between Ga and Si atoms as if molecules of GaSi₃ existed. The implications of the measured properties are a possibility of soft-turbulence in an Si melt in a relatively large crucible, a more complicated manner of intake of oxygen depleted molten Si from the free surface region to underneath the growing crystal, and a relaxation of the melt after melting arising from trapped gas species.     

Generation of crystal structures of heteromolecular compounds by the method of discrete modeling of packings

Within the method of discrete modeling of packings, an algorithm of generation of possible crystal structures of heteromolecular compounds containing two or three molecules in the primitive unit cell, one of which has an arbitrary shape and the other (two others) has a shape close to spherical, is proposed. On the basis of this algorithm, a software package for personal computers is developed. This package has been approved for a number of compounds, investigated previously by X-ray diffraction analysis. The results of generation of structures of five compounds—four organic salts (with one or two spherical anions) and one solvate—are represented.