Silicon Tubes for Microelectronic Applications Grown Directly from the Melt

A die-free technique for growing large diameter silicon tubes (5–15cm) directly from the melt has been developed. The attained result was a constant tube wall thickness for a range of 7 to 0.2 mm at 1500 mm length limited by the equipment pulling stroke. It is shown that the inner pressure of the tube is function of the meniscus height at the growth interface. A speed is also presented. By means of experiments the thermal gradient at the solid-liquid interfaces is determined.     

Fiber Crystal Growth From the Melt

The literature on melt growth of single crystalline fibers is reviewed. The paper introduces in the characteristic features and wide field of advanced applications of micro single crystals in elongated form having a small diameter in the region mykrometer-millimeter. A brief historical survey is given. After that typical melt growth methods for production of fiber crystals are shown - micro zone floating (i.e. LHPG) and pulling from a die (i.e. Stepanow, EFG and micro pulling down techniques). Some selected fundamentals of the fiber growth process are described in detail, like mass and heat balance, capillary stability and segregation behaviour. In the centre of interest is the discussion of growth and analytical results obtained for various materials - oxides, mainly suitable for wave guides, lasers and nonlinear optics (sapphire, YAG, KRS-5, BBO, LiNbO₃ and further niobates etc.), eutectics for composites, semiconductors for fundamental studies, and metals for high-speed filament production. Special measures for fiber cladding, in-situ core doping and periodically ferroelectric domain adjustment are included. For the sake of completeness a look at the modern branch of polycrystalline and amorphous alloy fiber spinning and melt extrusion is taken too. In conclusion, the special suitability of fiber crystal growth for fundamental research is demonstrated.     

Capillary shaping of crystals pulled downward from a melt by the crucibleless AHP method

A model is proposed for capillary shaping of a crystal in the crucibleless variant of the AHP (axial heat flux close to the phase interface) method when the melt in the form of a film flowing over the AHP heater is fed to a meniscus. The meniscus and the film of the melt are described by the same equation with a discontinuous right-hand side. The dependences of the crystal radius and the thickness of the melt film on the parameters of the process are numerically investigated, and the capillary stability of the pulling process is analyzed. It is demonstrated that, in this method, the thickness of the melt layer between the crystal and the heater can be considerably larger than the capillary constant.     

熔体法生长大尺寸有机晶体

大尺寸有机晶体在太赫兹波产生、中子探测、微波激射等多个关系国计民生、涉及国家安全的领域具有重要应用前景.但大尺寸有机单晶生长一直是国际公认的难题,无论是在生长理论、生长方法还是生长设备方面都远远落后,在整个人工晶体领域相对小众;而且有机晶体硬度低、脆性高、易解理等本征特性为加工和后期应用带来了很多困难,制约了相关领域的...     

半导体单晶生长过程中的位错研究

阐述了现有的半导体单晶位错模型,即临界切应力模型和粘塑性模型的基本理论及应用状况.分析了熔体法单晶生长过程中影响位错产生、增殖的各种因素,以及抑制位错增殖的措施.与熔体不润湿、与晶体热膨胀系数相近的坩埚材料,低位错密度的籽晶可有效地抑制生长晶体的位错密度;固液界面的形状及晶体内的温度梯度是降低位错密度的关键控制因素,而两因素又受到炉膛温度梯度、长晶速率、气体和熔体对流等晶体生长工艺参数的影响.最后,对熔体单晶生长过程的位错研究进行了展望.     

The growth of controlled profile crystals by Stepanov's method

Single crystals in the shapes of plates, tubes and rods of various cross sections are widely used in many areas of science and technology. Of great importance is the production of such single crystal specimens directly from the melt. By Stepanov's method, the desired shape of the crystal is obtained by the proper selection of a device which shapes the melt column which rises due to the capillary effect. The capillary parameters determine the shape of the profile curve. The thermal parameters, taking into account the equilibrium crystal shape, define the position and shape of the crystallization front. The use of the shaper makes the process self-stabilizing. A negative feedback which damps out perturbations appears in the crystal-melt system and thus permits the production of controlled profile crystals with constant cross-section along their length. Thermoelastic stresses created in ribbons and rods as a result of temperature-induced misfit deformations are considered. The generation of dislocations in crystals occurs mainly due to stresses arising near the crystallization front. Various versions of the method and their applications to some materials are discussed.     

Temperature variation of lattice parameter and thermal expansion of TmAl2

The lattice parameter of TmAl₂ has been measured from room temperature to 637 K using CuKα-radiation. The data have been used to evaluate the coefficient of thermal expansion at various temperatures. It was found that the lattice parameter increases while the coefficient of expansion remains constant throughout the range of temperature studied.     

近零膨胀Zr0.5Hf0.5V1.4P0.6O7材料的制备及其性能研究

采用传统的固相法合成了近零膨胀氧化物功能陶瓷材料Zr_0.5Hf_0.5V_1.4P_0.6O₇,用X射线衍射(XRD)、Raman光谱和热膨胀法对Zr_0.5Hf_0.5V_1.4P_0.6O₇的热膨胀系数、各向同性和相变进行了测试,通过Hf⁴⁺/P⁵⁺共掺杂使得材料具有较低的热膨胀系数,研究发现合成的Zr_0.5Hf_0.5V_1.4P_0.6O₇具有Pa3立方相结构,从334 K附近到673 K较宽的温度范围内的线性热膨胀系数为-1.56×10^-6 K^-1,表现出稳定的近零热膨胀特性。由于固溶体内部微结构的影响造成膨胀仪实验结果与变温X射线衍射结果存在一定的差距。Zr_0.5Hf_0.5V_1.4P_0.6O₇具有的近零膨胀特性为通过负热膨胀材料合成膨胀系数可控的材料提供了基础。     

Contraction of amorphous CoP alloys during structural relaxation

The structural relaxation of amorphous alloys is accompanied by an increase of their mechanical density. This is shown by measurements of the thermal expansion of electrodeposited CoP alloys between room temperature and crystallization. Above 80°C, the temperature of preparation, the linear thermal expansion coefficient is apparently reduced as a consequence of a superimposed shrinkage, whereas the true thermal expansion coefficient is not affected by any preceding thermal treatment. The velocity of contraction increases with temperature when the material is continuously heated. But the value of the contraction per degree increase in temperature is constant above a certain temperature T₁. The higher the heating rate, the higher T₁. The mathematical treatment of these experimental results is difficult because the relaxation property, the contraction, depends not only on temperature but also on time and on the preceding thermal treatment.     

Unusual Thermal Behaviour of Mercurous Chloride

A precise determination of the lattice parameters and the coefficients of thermal expansion of mercurous chloride has been made at different temperatures ranging from 30 °C to 260 °C with a Unicam 19 cm high-temperature powder camera and FeKα radiation. The ‘a’ parameter increases non-linearly, whereas the ‘c’ parameter decreases linearly with temperature. Both the c/a value and the unit-cell volume are found to decrease with increasing temperature. The coefficient of thermal expansion along the ‘c’ axis, α∥, is found to have a constant negative value throughout the range of temperature studied. The positive value of α⊥ increases while the negative value of volume coefficient (β) decreases linearly with increasing temperature indicating an unusual and interesting thermal behaviour.     

Trends in the thermal expansion coefficients of the AIBIIIC2VI and AIIBIVC2V chalcopyrite compounds

Empirical relations are derived for the average linear thermal expansion coefficient α_L and the linear thermal expansion coefficients α_a and α_c of the lattice parameters a and c, respectively, of the A^IB^IIIC₂^IV and A^IIB^IVC₂^V compounds. It is shown that the thermal expansion coefficients of all tetrahedrally coordinated compounds can be described within the same model. The anisotropy of the thermal expansion coefficients depends essentially on the lattice constant ratio c/a. There exists a critical c/a value below of which α_c becomes negative.     

Calculation of thermal expansion coefficient of glasses

Thermal expansion of oxide glasses has been theoretically studied to derive an equation for the calculation of the thermal expansion coefficient of glass from chemical composition. Grüneisen's constant may be correlated with packing density and a ratio of cation-to-anion radius and, considering the packing density and dissociation energy per unit volume, a semi emprical equation was derived. The agreement between observed and calculated values was satisfactory over 150 glasses of the binary, ternary and quarternary systems.     

Mathematical modeling of the multi‐run process of crystal pulling from the melt by EFG (Stepanov) technique in dependence on the angle of inclination of the working edges of the dies

A mathematical model for the determination of melt hydrodynamics, impurity concentrations and thermal stresses in the multi‐run process of the growth of sapphire ribbons by EFG (Stepanov) technique with inclinated working surfaces of the dies is considered. The mathematical model deals with thermal conductivity equation, Navier‐Stokes equation, diffusion equation, capillary Laplace equation. This problem has been solved by the finite‐element method. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Considerations on the structure and physical properties of B2O3-SiO2 and GeO2-SiO2 glasses

Data of density, refractive index and thermal expansion coefficient for B₂O₃-SiO₂ and GeO_2-SiO₂ glasses have been analyzed. The volumes of the structural units are the same found for the vitreous B₂O₃, GeO₂ and SiO₂. The volume of any structural unit is constant over the entire composition region of the glass system. The same has been found for the differential refraction and unit refraction of the structural units in these glasses. Different features are observed for the differential expansion of the structural units. There is a considerable change with composition in the differential expansion of BO₃, GeO₄ and SiO₄ units. The effect is attributed to a change in the asymmetry of vibrations with the number of Si-O-B or Si-O-Ge linkages in the matrix. The thermal expansion coefficient is mainly determined by the contribution of B₂O₃ or GeO₂ in the concerned glasses.     

Low expansion in [(Fe0.9Co0.1)0.72B0.24Nb0.04]95.5Y4.5 bulk metallic glass

The thermal expansion behavior of an iron-based bulk metallic glass (BMG) [(Fe_0.9Co_0.1)_0.72B_0.24Nb_0.04]_95.5Y_4.5 is studied. The expansion coefficient in the wide temperature range of 100–300 K keeps in a constant, which is close to that of the Kovar alloy. Furthermore, the expansion coefficient of the BMG can be tuned by annealing below glass transition temperature. The results have implication for understanding the origin of low expansion, and the BMG may have a potential for commercial low expansion material.     

Influence of the real structure on the linear thermal expansion coefficient of A15-type intermetallic compounds from room temperature to 10K

The temperature dependence of the thermal expansion coefficient of a number of A15-compounds was investigated by X-ray diffraction experiments. The expansion coefficient of the high-temperature superconductors with the A15-structure is highly temperature dependent and has negative values below 100K. Deviations from the stoichiometric composition, substitution of foreign atoms and lattice distortions prevent negative values of the expansion coefficient. The results are discussed in connection with other physical properties of these compounds.     

Features of bicrystal growth during the directional crystallization of metal melts

The factors responsible for the formation of different configurations of boundaries between adjacent crystallites during their growth from melt by Bridgman and Czochralski methods have been considered by an of example Fe–20 wt % Ga alloy and Ni bicrystals. It is found that the configuration of intercrystallite boundary is related to the features of crystallite growth, caused by the strained state of intercrystallite and interphase (crystal–melt) boundaries, the difference in the linear thermal expansion coefficients of the crystallite boundaries and bulk, and the shape (geometry) of the bicrystal cross section. It is suggested that the strained state of boundaries and the formation of substructure in crystallites during directional crystallization from metal melt are significantly affected by their deformation under the melt weight.

     

Computersimulation einer eindimensionalen polykristallinen Gefügebildung mit konstanter Keimbildungsrate und konstanter Kristallisationsgeschwindigkeit

For the process of isothermic freezing of a melt in a capillary tube with a constant nucleation rate and for all the crystallites with the same and constant rate of crystallization a mathematical model and computer programs for simulation are elaborated. In the result of simulation of the model by a digital computer one gets frequency distributions of the grain lengths. In a lot of simulated cases the cumulative frequency distributions of the grains could well be approximated by a Rosin-Rammler-Sperling distribution.     

Numerical Simulation of Temperature and Flow Field in the Melt for the Vapour‐pressure‐ controlled Czochralski Growth of GaAs

The influence of the melt flow on the temperature field and interface during the vapour‐pressure‐controlled growth of GaAs was studied numerically with the commercial general‐purpose program FIDAP^TM. The thermal boundary conditions for the domain of seed, crystal, boron oxide and crucible were taken from a global calculation for an equipment used at the IKZ to grow 6″ crystals. Due to the large melt volume the buoyancy forces become rather strong and have to be counteracted by reasonable rotation rates. Preliminary results have been obtained for iso‐ and counter‐rotation showing that the flow field exhibits structures on small scales. High rotation rates are needed to counteract the buoyancy flow efficiently and to achieve a smooth flat interface. Even if the the flow structure is not resolved in detail, the interface shape can be deduced form the calculations.     

Temperature variation of the structural and thermal characteristics of YBa2Cu3O7−x in the range from 90 to 400 K

The X-ray studies of the tetragonal YBa₂Cu₃O_7−x compound are performed at different temperatures from 400 to 90 K and the temperature variation of the thermal expansion coefficients and the Debye characteristic temperature is determined. The anisotropy of thermal expansion is investigated. It is found that the two dynamical characteristics monotonously decrease with temperature lowering whereas for the superconducting orthorhombic modification their temperature dependences are anomalous. The mean thermal expansion coefficient as well as the overall Debye temperature for the tetragonal phase are smaller than those for the orthorhombic one.