title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð½Ð¾Ð¹ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ð¸ Ð½Ð° ÑÑÑÑÐºÑÑÑÐ½ÑÐ¹ Ð¿ÐµÑÐµÑ Ð¾Ð´ Ð¸ Ð°ÑÐ¾Ð¼Ð½ÑÐµ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ñ Ð² Ð½Ð°Ð½Ð¾ÑÐ°ÑÑÐ¸ÑÐ°Ñ Ð½Ð¸ÑÑÐ°ÑÐ° Ð½Ð°ÑÑÐ¸Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: The influence of limited geometry on the structural transition and atomic vibrations in sodium nitrate nanoparticles
Creators: name: ÐÑÐ´ÑÑÐ²ÑÐµÐ²Ð°, ÐÑÐ¸Ð½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÐÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ñ
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Ð°Ð¼Ð¿Ð»Ð¸ÑÑÐ´Ñ ÑÐµÐ¿Ð»Ð¾Ð²ÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹
structural transition
sodium nitrate
critical index
amplitudes of thermal vibrations

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐ»Ð¸ÑÐ½Ð¸Ðµ Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð½Ð¾Ð¹ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ð¸ Ð½Ð° ÑÑÑÑÐºÑÑÑÐ½ÑÐ¹ Ð¿ÐµÑÐµÑÐ¾Ð´ Ð¸ Ð°ÑÐ¾Ð¼Ð½ÑÐµ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ñ Ð² Ð½Ð°Ð½Ð¾ÑÐ°ÑÑÐ¸ÑÐ°Ñ Ð½Ð¸ÑÑÐ°ÑÐ° Ð½Ð°ÑÑÐ¸ÑÂ». Ð¦ÐµÐ»ÑÑ Ð½Ð°ÑÑÐ¾ÑÑÐµÐ¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ðµ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¾Ð± Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÑÑ ÑÑÑÑÐºÑÑÑÐ½Ð¾Ð³Ð¾ Ð¿ÐµÑÐµÑÐ¾Ð´Ð° Ð² Ð½Ð¸ÑÑÐ°ÑÐµ Ð½Ð°ÑÑÐ¸Ñ, Ð½Ð°ÑÐ¾Ð´ÑÑÐµÐ¼ÑÑ Ð² ÑÑÐ»Ð¾Ð²Ð¸ÑÑ Ð¸ÑÐºÑÑÑÑÐ²ÐµÐ½Ð½Ð¾ Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð½Ð¾Ð¹ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ð¸, ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ° Ð¿Ð¾ÑÑÐ´ÐºÐ° Ð¿ÑÐ¸ Ð½Ð°Ð³ÑÐµÐ²Ðµ Ð¸ Ð¾ ÑÐ¾Ð»Ð¸ ÑÐµÐ¿Ð»Ð¾Ð²ÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð¸Ð¾Ð½Ð¾Ð² NaNO3 Ð² ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÑÑÑÐºÑÑÑÐ½Ð¾Ð³Ð¾ Ð¿ÐµÑÐµÑÐ¾Ð´Ð°. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð´Ð¸ÑÑÐ°ÐºÑÐ¸Ð¾Ð½Ð½ÑÑ ÑÐ¿ÐµÐºÑÑÐ¾Ð², Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð¿ÑÐ¸ ÑÐ°ÑÑÐµÑÐ½Ð¸Ð¸ ÑÐ¸Ð½ÑÑÐ¾ÑÑÐ¾Ð½Ð½Ð¾Ð³Ð¾ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ Ð½Ð° Ð½Ð°Ð½Ð¾ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐµÂ  Â«NaNO3 + PG7Â», Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð½ÑÑ Ð² ÑÐ¸ÑÐ¾ÐºÐ¾Ð¼ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¼ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ðµ 300-515 Ð, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð° Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÑ ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¸Ð½Ð´ÐµÐºÑÐ° Î²(Ð¢), Ð° ÑÐ°ÐºÐ¶Ðµ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð° ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ° ÑÑÑÑÐºÑÑÑÐ½Ð¾Ð³Ð¾ Ð¿ÐµÑÐµÑÐ¾Ð´Ð° Ð´Ð»Ñ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð½Ð°Ð½Ð¾ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ° Ð¢Ð¡ = 496(1) Ð. Ð£ÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¾, ÑÑÐ¾ Ð² Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Î²(Ð¢) Ð½Ð°Ð±Ð»ÑÐ´Ð°ÐµÑÑÑ ÐºÑÐ¾ÑÑÐ¾Ð²ÐµÑ Ð¿ÑÐ¸ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐµ Ð¢* = 455 Ð. ÐÐ¾Ð»ÑÑÐµÐ½Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÐµ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð°Ð¼Ð¿Ð»Ð¸ÑÑÐ´ ÑÐµÐ¿Ð»Ð¾Ð²ÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð°ÑÐ¾Ð¼Ð¾Ð² Ð² ÐÐÐ, Ð¸ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Uij Ð´Ð»Ñ Ð²ÑÐµÑ Ð°ÑÐ¾Ð¼Ð¾Ð² Ð² Ð½Ð°Ð½Ð¾ÑÑÑÑÐºÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¼ Ð½Ð¸ÑÑÐ°ÑÐµ Ð½Ð°ÑÑÐ¸Ñ ÑÐµÐ·ÐºÐ¾ Ð²Ð¾Ð·ÑÐ°ÑÑÐ°ÑÑ (Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð¼Ð°ÑÑÐ¸Ð²Ð½ÑÐ¼ NaNO3) Ð²Ð±Ð»Ð¸Ð·Ð¸ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ ÐºÑÐ¾ÑÑÐ¾Ð²ÐµÑÐ° Ð¢* Ð¸ Ð²ÑÑÐµ. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ñ ÑÐ»Ð»Ð¸Ð¿ÑÐ¾Ð¸Ð´Ñ ÑÐµÐ¿Ð»Ð¾Ð²ÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð²ÑÐµÑ Ð¸Ð¾Ð½Ð¾Ð² Ð² Ð½Ð°Ð½Ð¾ÑÑÑÑÐºÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¼ Ð½Ð¸ÑÑÐ°ÑÐµ Ð½Ð°ÑÑÐ¸Ñ.
description: The subject of the graduate qualification work is: "The influence of limited geometry on the structural transition and atomic vibrations in sodium nitrate nanoparticles". The purpose of this work is to obtain information about the features of the structural transition in sodium nitrate under conditions of artificially limited geometry, the temperature evolution of the order parameter during heating, and the role of thermal vibrations of NaNO3 ions in the implementation of the structural transition. As a result of the analysis of the diffraction spectra obtained by scattering synchrotron radiation on the nanocomposite "NaNO3 + PG7", measured in a wide temperature range of 300-515 K, the dependence of the critical index Î² (T) was obtained, and the temperature of the structural transition for this nanocomposite TC = 496(1) K. It was found that depending on Î² (T) a crossover is observed at a temperature of T * = 455 K. The temperature dependences of the amplitudes of thermal vibrations of atoms in NCM are obtained, and it is shown that the Uij values for all atoms in nanostructured sodium nitrate increase sharply (compared with massive NaNO3) near the crossover temperature T* and higher. Ellipsoids of thermal vibrations of all ions in nanostructured sodium nitrate are constructed.