title: ÐÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ¾ÑÑÐ° ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð¾Ð² Ð½Ð¸Ð¾Ð±Ð°ÑÐ° Ð»Ð¸ÑÐ¸Ñ Ð¿Ð¾ Ð¼ÐµÑÐ¾Ð´Ñ Ð§Ð¾Ñ ÑÐ°Ð»ÑÑÐºÐ¾Ð³Ð¾ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¿Ð°ÐºÐµÑÐ° CGSim
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: Computer simulation of lithium niobate (LiNbO3) crystal growth by the Czochralski method using the CGSim package
Creators: name: ÐÐ°ÑÐºÐ¾Ð²ÑÐºÐ¸Ð¹, ÐÐ²Ð³ÐµÐ½Ð¸Ð¹
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: 2023
Subjects: ÐºÑÐ¸ÑÑÐ°Ð»Ð»
LiNbO3
Ð¸Ð½ÑÐµÑÑÐµÐ¹Ñ
ÑÐºÐ¾ÑÐ¾ÑÑÑ Ð²ÑÐ°ÑÐµÐ½Ð¸Ñ
Ð³ÑÐ°Ð½Ð¸ÑÐ° ÑÐ°ÑÐ¿Ð»Ð°Ð²-ÐºÑÐ¸ÑÑÐ°Ð»Ð»
Ð¿ÐµÑÑ Ð§Ð¾Ñ ÑÐ°Ð»ÑÑÐºÐ¾Ð³Ð¾
ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ñ
ÐÐ°ÑÐ°Ð½Ð³Ð¾Ð½Ð¸
crystal
interface
rotation speed
melt-crystal boundary
Czochralski furnace
convection
Marangoni

description: Ð¦ÐµÐ»ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÐµÑÑÑ Ð¸Ð·ÑÑÐµÐ½Ð¸Ðµ Ð¸ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ¾ÑÑÐ° ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð¾Ð² Ð½Ð¸Ð¾Ð±Ð°ÑÐ° Ð»Ð¸ÑÐ¸Ñ Ð¿Ð¾ Ð¼ÐµÑÐ¾Ð´Ñ Ð§Ð¾ÑÑÐ°Ð»ÑÑÐºÐ¾Ð³Ð¾ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¿Ð°ÐºÐµÑÐ° CGSim. ÐÐ»Ð°Ð²Ð½Ð¾Ð¹ ÑÐµÐ»ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð¿Ð¾Ð½Ð¸Ð¼Ð°Ð½Ð¸Ðµ ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ñ Ð¸ ÑÐ¸Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð², Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð´ÑÑÐ¸Ñ Ð²Ð¾ Ð²ÑÐµÐ¼Ñ ÑÐ¾ÑÑÐ° ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð¾Ð², Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð´Ð»Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ñ ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð¾Ð² Ñ Ð½Ð°Ð¸Ð»ÑÑÑÐ¸Ð¼Ð¸ Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ¸Ð¼Ð¸ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð°Ð¼Ð¸. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð»Ð¸ÑÐµÑÐ°ÑÑÑÑ Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿ÑÐµÐ´ÑÐ´ÑÑÐ¸Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐ¾ÑÑÐ° ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð¾Ð² Ð½Ð¸Ð¾Ð±Ð°ÑÐ° Ð»Ð¸ÑÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð§Ð¾ÑÑÐ°Ð»ÑÑÐºÐ¾Ð³Ð¾. 2. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸. 3. ÐÐ°Ð»Ð¸Ð´Ð°ÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. 4. ÐÐ¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÑÐ¾ÑÑÐ° ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð¾Ð² Ð½Ð¸Ð¾Ð±Ð°ÑÐ° Ð»Ð¸ÑÐ¸Ñ. 5. ÐÐ½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸ Ð²ÑÐ²Ð¾Ð´Ñ. Ð Ð°ÑÑÑÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð²ÑÑÐ°ÑÐ¸Ð²Ð°Ð½Ð¸Ñ ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð¾Ð² Ð½Ð¸Ð¾Ð±Ð°ÑÐ° Ð»Ð¸ÑÐ¸Ñ (LiNbO3) Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð§Ð¾ÑÑÐ°Ð»ÑÑÐºÐ¾Ð³Ð¾ Ð²ÑÐ¿Ð¾Ð»Ð½ÑÐ»Ð¸ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿Ð°ÐºÐµÑÐ° Basic CGSim Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð² ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¾ÑÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐ°ÑÐ¿Ð»Ð°Ð²Ð° Ð½Ð¸Ð¾Ð±Ð°ÑÐ° Ð»Ð¸ÑÐ¸Ñ Ð¸ ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð°, Ð° ÑÐ°ÐºÐ¶Ðµ Ð³Ð»Ð¾Ð±Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð° Ð² ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐµ Ð¼ÐµÑÐ¾Ð´Ð° Ð§Ð¾ÑÑÐ°Ð»ÑÑÐºÐ¾Ð³Ð¾ Ñ Ð·Ð°ÑÐ¸ÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÐºÐ¾ÑÐ¾ÑÑÑÑ Ð²ÑÑÐ°ÑÐ¸Ð²Ð°Ð½Ð¸Ñ ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð°. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð½Ð¾Ðµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð¸Ð½ÑÐµÑÑÐµÐ¹ÑÐ¾Ð², ÑÐ°ÑÑÑÐ¸ÑÐ°Ð½Ð½ÑÑ Ð¼Ð¾Ð´ÑÐ»ÐµÐ¼ Basic CGSim, Ð¿Ð¾ÐºÐ°Ð·Ð°Ð»Ð¾ ÑÐ»ÑÑÑÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ ÑÐ°ÑÑÑÑÐ¾Ð² [3].
description: The purpose of this study is to study and computer simulation of lithium niobate crystal growth by the Czochralski method using the CGSim package. The main goal is to understand the physical and chemical processes that occur during crystal growth and to optimize process parameters to obtain crystals with the best optical properties. Tasks to be carried out during the research: 1. literature review and analysis of previous research in the field of lithium niobate crystal growth by the Czochralski method. 2. Development of a mathematical model. 3. Model validation. Optimization of growth parameters of lithium niobate crystals. 5. Analysis of results and conclusions. Calculations of lithium niobate (LiNbO3) crystal growth process by Czochralski method were performed using Basic CGSim package for modeling in stationary axisymmetric formulation the flow in the area of lithium niobate melt and crystal as well as global heat transfer in Czochralski method setup with fixed crystal growth rate. A comparison of the interfaces calculated by the Basic CGSim module showed an improvement in the simulation results with respect to the calculations [3].