The work is devoted to the study of gyroscopic phenomena in the interaction of a rotating fullerene molecule and a xenon atom incident on it. The methods of classical molecular physics are used: intermolecular potentials, Newton's equations for describing the motion of particles, and the Runge–Kutta numerical method of high order of accuracy. A mathematical model is constructed and implemented for the rotation frequencies of fullerene up to 10¹⁴ Hz and the speed of the incident xenon atom of the order of 10³ m s⁻¹. For such parameters of the problem, the de Broglie wavelength of the incident atom and the fullerene molecule become smaller than the diameter of the carbon atomic nucleus. This made it possible to apply the Newtonian approach without involving quantum mechanics. The aim of this work is the consistent application of the apparatus of classical mechanics to reveal the effect of the precession of rotating fullerene inside fullerite.

中文翻译：

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富勒岩分子晶体中富勒烯的旋转动力学

这项工作致力于研究旋转的富勒烯分子与入射在其上的氙原子相互作用中的陀螺现象。使用了经典的分子物理学方法：分子间的电势，描述粒子运动的牛顿方程式以及高精度的Runge-Kutta数值方法。针对高达10 ¹⁴  Hz的富勒烯旋转频率和10 ³  m s ^-1数量级的入射氙原子速度，构建并实现了数学模型。。对于这样的问题参数，入射原子和富勒烯分子的德布罗意波长变得小于碳原子核的直径。这样就可以在不涉及量子力学的情况下应用牛顿方法。这项工作的目的是经典力学装置的一致应用，以揭示富勒石内部旋转富勒烯进动的影响。