Abstract The spectrum of oscillation of ferroelectric nanoparticles of different shapes was analyzed by the method of finding eigenvalues and eigenfunctions. The oscillation spectrum for elliptical particles obtained by an exact solution using numerical methods. The spectrum of eigenvalues of a particle of elliptic shape better coincides with the spectrum of a particle in the form of a parallelepiped of similar size. The obtained results provide a fundamental opportunity to construct the Green’s function and to evaluate the contribution of the ferroelectric component to the thermodynamic properties of the sample, to the dispersion of light and X-ray waves, etc.

中文翻译：

---

铁电介质纳米复合材料中铁电夹杂物的振荡谱

摘要 采用求本征值和本征函数的方法分析了不同形状铁电纳米粒子的振荡谱。使用数值方法通过精确解获得的椭圆粒子的振荡谱。椭圆形粒子的特征值谱与类似大小的平行六面体形式的粒子的谱更吻合。获得的结果为构建格林函数和评估铁电元件对样品的热力学特性、光和 X 射线波的色散等的贡献提供了基本机会。