Lame's Equation and Its Use in Elliptic Cone Problems

A new solution is obtained for Lamé's equation in the form of a perturbation seriesabout k = 0; numerical accuracy appears to be high when v ismoderate and k not too close to 1, so that the solution is ofpractical value in problems involving elliptic cones or infinitesectors.     

Variational calculations on the hydrogen molecular ion

We present high-precision non-relativistic variational calculations of bound vibrational—rotational state energies for the H⁺ ₂ and D⁺ ₂ molecular ions in each of the lowest electronic states of Σ _g , Σ _u , and Π _u symmetry. The calculations are carried out including coupling between Σ and Π states but without using the Born—Oppenheimer or any adiabatic approximation. Convergence studies are presented which indicate that the resulting energies for low-lying levels are accurate to about 10^?13. Our procedure accounts naturally for the lambda-doubling of the Π _u state.     

单晶硅中硅氢键和氢致缺陷的电子自旋共振研究

本文先后用光致发光、核磁共振和电子自旋共振研究了单晶硅中硅氢键和氢致缺陷的性质。光致发光谱表明硅氢键引起了大量非辐射中心。观测和探讨了电子自旋共振测量与样品平均厚度的关系。本文克服了真空热处理中氢从表面扩散的困难,并避免了样品平均厚度大于1.00mm和小于0.85mm给电子自旋共振带来的困难,测得分别在纯氢气氛和氩气氛生长的单晶硅每立方厘米电子自旋数。对比二者,我们估算出氢的数量为4×10¹⁶/cm³,而硅氢键分离激活能约为0.1eV。前者与文献[6]和[10]符合得很好,后者比文献[11]测定的沉淀激活能低一个数量级。 关键词：