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fractal growth
相关语句
  分形生长
    Fractal growth in Si_3N_4 ceramics
    氮化硅陶瓷中的分形生长
短句来源
    Based on the fractal theory,a growth model for graphite nodules in malleable iron hasbeen developed. The fractal growth equation derived is RG = Kt(3/D), which reveals the rela-tionship between the growing process and the shape of the graphite nodules and shows thatthe growth rate decreases while the fractal dimension D increases. This is the reason why thegrowth rate varies during the growth of the graphite nodules.
    基于分形理论建立了可锻铸铁石墨颗粒的生长模型,推导出了分形生长方程:RG=Kt ̄(3/D),该方程揭示了石墨颗粒生长与形态之间的关系,它表明随着分维值的增大,石墨颗粒的生长速度下降,从而解释了石墨颗粒生长过程中其生长速度变化的原因。
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  “fractal growth”译为未确定词的双语例句
    The analysis, based on the measurement of small angle X rays scattering, shows that the as prepared nm Gd powders have a characteristic of mass fractal growth, and that a lower pressure of inert gas results in a small fractal dimension D f.
    利用小角X射线散射方法分析了nmGd微粉的三维生长分形特征,表明nmGd微粒聚集体系呈质量分形,制备气压越小则分维系数Df越小。
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  fractal growth
These cluster growth pathways were compared with the fractal growth mechanisms of colloidal particles.
      
The results for different stages of fractal growth within the first-order nonlinear approximation are found.
      
Theassembly of the individual parallelograms and aseries of glues and protecting groups appear toensure the fractal growth of the system in twodimensions.
      
The fractal growth of fatigue defects in materials
      
The concept of fractal growth and form offers novel approaches to understanding morphogenesis and function from the level of the gene to the organism.
      
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Based on the fractal theory,a growth model for graphite nodules in malleable iron hasbeen developed.The fractal growth equation derived is RG = Kt(3/D), which reveals the rela-tionship between the growing process and the shape of the graphite nodules and shows thatthe growth rate decreases while the fractal dimension D increases. This is the reason why thegrowth rate varies during the growth of the graphite nodules.

基于分形理论建立了可锻铸铁石墨颗粒的生长模型,推导出了分形生长方程:RG=Kt ̄(3/D),该方程揭示了石墨颗粒生长与形态之间的关系,它表明随着分维值的增大,石墨颗粒的生长速度下降,从而解释了石墨颗粒生长过程中其生长速度变化的原因。

Nanometer gadolinium powders (nm Gd) sized 4~15nm have been prepared by means of condensation of evaporating Gd atoms in the atmosphere of inert gas argon. The magnetic susceptibility of nm Gd powders, measured by vibrating samples magnetometer, demonstrates a minimum when the size of nm Gd powder approaches a special value d c . The analysis, based on the measurement of small angle X rays scattering, shows that the as prepared nm Gd powders have a characteristic of mass fractal growth, and...

Nanometer gadolinium powders (nm Gd) sized 4~15nm have been prepared by means of condensation of evaporating Gd atoms in the atmosphere of inert gas argon. The magnetic susceptibility of nm Gd powders, measured by vibrating samples magnetometer, demonstrates a minimum when the size of nm Gd powder approaches a special value d c . The analysis, based on the measurement of small angle X rays scattering, shows that the as prepared nm Gd powders have a characteristic of mass fractal growth, and that a lower pressure of inert gas results in a small fractal dimension D f. There are two stages corresponding to DLA (Diffusion Limited Aggregation) and DLCA(Diffusion Limited Cluster Aggregation) models in the growing process of nm Gd powders. There exists a special size d f of nm Gd powder about fractal dimension between the two stages mentioned above also. According to the theory of nanometer materials, a calculation evaluating the critical size d q of quantum size effect of metal Gd has been carried out in order to clarify the influence of three special sizes d f, d q and d c on the magnetic susceptibility of nm Gd powders.

采用惰性气体保护蒸发凝聚技术制备出粒径为4~15nm的稀土金属Gd微粉(nmGd)。经振动样品磁强计测试,表明nmGd微粉在某一特征粒径dc时磁化率χ取得最小值。利用小角X射线散射方法分析了nmGd微粉的三维生长分形特征,表明nmGd微粒聚集体系呈质量分形,制备气压越小则分维系数Df越小。微粒生长模型是扩散限制聚集(DLA)与扩散限制团聚聚集(DLCA)模型共存,相应这两个模型阶段的分维系数Df存在一特征粒径df。根据纳米微粒理论对nmGd微粉体系的量子尺寸效应的特征尺寸dq进行了估算,并就三种特征粒径dc、df和dq进行了分析和比较

The fractal structure was described and the growth mechanism was studied according to an experimental study of fractal growth. The fractal growth process generated by evaporation condensation of Si (g) decomposed from Si 3N 4 in sintered silicon nitride, can be observed with TEM in nanometer scale. Also, the fractal dimension was calculated as D m1 ≈1.09, D m2 ≈1.52, D m3 ≈1.78, respectively. The result D m3 ≈1.78 was in agreement with those reported.

利用透射电子显微镜 (TEM)在纳米尺度上直接观察由氮化硅分解出的硅蒸气在蒸发 凝聚过程中产生的分形生长这一实验现象 ,结合相对应的有限扩散凝聚 (DLA)模型以及核晶凝聚 (NA)模型 ,对所获得的分形结构进行了描述和讨论 ,并探讨了分形生长的发生机理。同时 ,由实验中所拍摄的一组照片计算其分形维数 ,分别为Dm1≈ 1.0 9,Dm2 ≈ 1.5 2 ,Dm3 ≈ 1.78,其中Dm3 ≈ 1.78与DLA模型的理论预测值以及数值模拟结果较一致

 
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