title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ ÑÐµÐ¿Ð»Ð¾ÐµÐ¼ÐºÐ¾ÑÑÐ¸ Ð² ÑÐµÐ»Ð°ÐºÑÐ¾ÑÐ½Ð¾Ð¼ ÑÐµÐ³Ð½ÐµÑÐ¾ÑÐ»ÐµÐºÑÑÐ¸ÐºÐµ PbNi1/3Nb2/3O3
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Analysis of behaviour of heat capacity in a relaxor rerroelectric PbNi1/3Nb2/3O3The subject of the graduate qualification work is the temperature dependence of the heat capacity
Creators: name: ÐÐ°Ð¶ÐµÐ½Ð¾Ð², ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
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: 2024
Subjects: Ð½Ð¸ÐºÐµÐ»Ñ Ð½Ð¸Ð¾Ð±Ð°Ñ ÑÐ²Ð¸Ð½ÑÐ°
ÑÐµÐ»Ð°ÐºÑÐ¾ÑÐ½ÑÐµ ÑÐµÐ³Ð½ÐµÑÐ¾ÑÐ»ÐµÐºÑÑÐ¸ÐºÐ¸
ÑÐµÐ¿Ð»Ð¾ÑÐ¼ÐºÐ¾ÑÑÑ
nickel niobate of lead
relaxor ferroelectrics
heat capacity

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÑÐµÑ ÑÐ¾Ð±Ð¾Ð¹ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð¹ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÐµÐ¿Ð»Ð¾ÑÐ¼ÐºÐ¾ÑÑÐ¸ Ð¼Ð¾Ð½Ð¾ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð° Ð½Ð¸ÐºÐµÐ»Ñ-Ð½Ð¸Ð¾Ð±Ð°Ñ ÑÐ²Ð¸Ð½ÑÐ°, ÑÐ¾ÐºÑÐ°ÑÑÐ½Ð½Ð¾ PNN â Ð½Ð° ÐµÐµ Ð¾ÑÐ½Ð¾Ð²Ðµ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ Ð¾ÑÐµÐ½Ð¸ÑÑ Ð²ÐºÐ»Ð°Ð´Ñ Ð°ÐºÑÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¸ Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¾Ð½Ð¾Ð½Ð¾Ð² Ð½Ð° ÑÐ°Ð·Ð½ÑÑ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ°Ñ, Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¾Ð¿ÑÐµÐ´ÐµÐ»Ð¸ÑÑ Ð²Ð¸Ð´ ÑÑÐ½ÐºÑÐ¸Ð¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð¼Ð¾Ð´ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÐ¼Ð¾Ð³Ð¾ ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð° Ð¿Ð¾ ÑÐ°ÑÑÐ¾ÑÐ°Ð¼. ÐÐ¾Ð½Ð¾ÐºÑÐ¸ÑÑÐ°Ð»Ð» Ð¿Ð¾ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¸Ð¼ÐµÐµÑ Ð´Ð°Ð»ÑÐ½Ð¸Ð¹ Ð¿Ð¾ÑÑÐ´Ð¾Ðº ÑÐ¿Ð¾ÑÑÐ´Ð¾ÑÐµÐ½Ð¸Ñ, Ð¾Ð´Ð½Ð°ÐºÐ¾ Â«BÂ» Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¸ ÑÐ»ÑÑÐ°Ð¹Ð½ÑÐ¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼ Ð²ÑÑÑÐµÑÐ°ÑÑÑÑ Ð°ÑÐ¾Ð¼Ñ Ð½Ð¸ÐºÐµÐ»Ñ Ð¸ Ð½Ð¸Ð¾Ð±Ð¸Ñ, ÑÑÐ¾ Ð²Ð½Ð¾ÑÐ¸Ñ ÑÐ°Ð¾Ñ Ð² Ð¼Ð°ÐºÑÐ¾ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÑÑ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¸ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐµÑ Ð½ÐµÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð°, Ð² ÑÐ¾Ð¼ ÑÐ¸ÑÐ»Ðµ ÑÐ°ÑÑÐ¾ÑÑ Ð¸ ÑÐºÐ¾ÑÐ¾ÑÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð½Ð°Ð¿ÑÑÐ¼ÑÑ ÑÐ²ÑÐ·Ð°Ð½Ñ Ñ ÑÐµÐ¿Ð»Ð¾ÑÐ¼ÐºÐ¾ÑÑÑÑ. ÐÑÐ¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¸ ÑÐµÐ¿Ð»Ð¾ÑÐ¼ÐºÐ¾ÑÑÐ¸ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ Ð½Ð°ÑÐ¸Ð½Ð°ÑÑ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¸Ðµ Ñ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð½Ð¸Ð·ÐºÐ¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑ, Ð´Ð²Ð¸Ð³Ð°ÑÑÑ Ð´Ð°Ð»ÐµÐµ Ð² ÑÑÐ¾ÑÐ¾Ð½Ñ Ð²ÑÑÐ¾ÐºÐ¸Ñ, ÑÐ°Ðº ÐºÐ°Ðº Ð¿ÑÐ¸ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ð¸ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð° Ð¿Ð¾Ð¾ÑÐµÑÐµÐ´Ð½Ð¾ Ð°ÐºÑÐ¸Ð²Ð¸ÑÑÑÑÑÑ ÑÐ°Ð·Ð½ÑÐµ ÑÐ¸Ð¿Ñ Ð¼Ð¾Ð´, ÐºÐ°Ð¶Ð´ÑÐ¹ Ð¸Ð· ÐºÐ¾ÑÐ¾ÑÑÑ Ð²Ð½Ð¾ÑÐ¸Ñ ÑÐ°Ð·Ð½ÑÐ¹ Ð²ÐºÐ»Ð°Ð´ Ð² ÑÐµÐ¿Ð»Ð¾ÑÐ¼ÐºÐ¾ÑÑÑ. Ð¢Ð°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼, Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÐ¿Ð»Ð¾ÑÐ¼ÐºÐ¾ÑÑÐ¸ Ð¿ÑÐ¸ Ð½Ð¸Ð·ÐºÐ¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ°Ñ Ð¸Ð¼ÐµÐµÑ ÑÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾Ðµ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ. ÐÐ¾ÑÑÐ¾Ð¼Ñ Ð² ÐºÐ°ÑÐµÑÑÐ²Ðµ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ¸ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ Ð²ÑÐ±ÑÐ°Ð½ Ð¼ÐµÑÐ¾Ð´ ÑÐµÐ»Ð°ÐºÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÐºÐ°Ð»Ð¾ÑÐ¸Ð¼ÐµÑÑÐ¸Ð¸. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð¼ ÑÐ°Ð±Ð¾ÑÑ ÑÑÐ°Ð»Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÑÑÐ¸Ñ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÑÐµÐ¿Ð»Ð¾ÑÐ¼ÐºÐ¾ÑÑÐ¸ Ð² ÑÐ°Ð·Ð½ÑÑ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÑ Ð¾Ð±Ð»Ð°ÑÑÑÑ, Ð²ÑÑÐ²Ð»ÐµÐ½Ð¸Ðµ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐµÐ¹ ÑÐ¾Ð½Ð¾Ð½Ð½ÑÑ Ð²ÐºÐ»Ð°Ð´Ð¾Ð² ÑÐ°Ð·Ð½ÑÑ ÑÐ¸Ð¿Ð¾Ð² Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸ 0-100Ð.
description: This work is an analysis of the temperature dependence of the heat capacity of a single crystal PNN (nickel-niobate lead). Based on it, it is necessary to evaluate the contributions of acoustic and optical phonons at different temperatures, and based on the data obtained, determine the type of frequency mode density distribution function of the crystal. The object of the study is a complex-component relaxor ferroelectric, which causes interest in this study. By definition, a single crystal has a long-range ordering order, however, nickel and niobium atoms randomly occur in the "B" position, which introduces chaos into the macroscopic system and determines some properties of the crystal, including frequencies and speed of vibrations, which are directly related to the heat capacity. When studying the heat capacity, it is necessary to begin consideration from the low temperature range, moving further towards high temperatures, since as the crystal temperature increases, different types of modes are activated alternately, each of which makes a different contribution to the heat capacity. Thus, the study of heat capacity at low temperatures is essential. Therefore, the method of relaxation calorimetry was chosen as the measurement method. The result of the work was the application of models describing the behavior of heat capacity in different temperature regions, the identification of dependencies of phonon contributions of different types in the range 0-100K.