117 research outputs found
Large Signal Performance of the Gallium Nitride Heterostructure Field-Effect Transistor With a Graphene Heat-Removal System
The self-heating effect exerts a considerable influence on the characteristics of high-power electronic and optoelectronic devices based on gallium nitride. An extremely non-uniform distribution of the dissipated power and a rise in the average temperature in the gallium nitride heterostructure field-effect transistor lead to the formation of a hot spot near the conductive channel and result in the degradation of the drain current, power gain and device reliability. The purpose of this work is to design a gallium nitride heterostructure field-effect transistor with an effective graphene heat-removal system and to study using numerical simulation the thermal phenomena specific to it. The object of the research is the device structure formed on sapphire with a grapheme heat-spreading element placed on its top surface and a trench in the passivation layer filled with diamond grown by chemical vapor deposition. The subject of the research is the large signal performance quantities. The simulation results confirm the effectiveness of the heat-removal system integrated into the heterostructure field-effect transistor and leading to the suppression of the self-heating effect and to the improvement of the device performance. The advantage of our concept is that the heat-spreading element is structurally connected with a heat sink and is designed to remove the heat immediately from the maximum temperature area through the trench in which a high thermal conductivity material is deposited. The results of this work can be used by the electronics industry of the Republic of Belarus for developing the hardware components of gallium nitride power electronics.The self-heating effect exerts a considerable influence on the characteristics of high-power electronic and optoelectronic devices based on gallium nitride. An extremely non-uniform distribution of the dissipated power and a rise in the average temperature in the gallium nitride heterostructure field-effect transistor lead to the formation of a hot spot near the conductive channel and result in the degradation of the drain current, power gain and device reliability. The purpose of this work is to design a gallium nitride heterostructure field-effect transistor with an effective graphene heat-removal system and to study using numerical simulation the thermal phenomena specific to it. The object of the research is the device structure formed on sapphire with a grapheme heat-spreading element placed on its top surface and a trench in the passivation layer filled with diamond grown by chemical vapor deposition. The subject of the research is the large signal performance quantities. The simulation results confirm the effectiveness of the heat-removal system integrated into the heterostructure field-effect transistor and leading to the suppression of the self-heating effect and to the improvement of the device performance. The advantage of our concept is that the heat-spreading element is structurally connected with a heat sink and is designed to remove the heat immediately from the maximum temperature area through the trench in which a high thermal conductivity material is deposited. The results of this work can be used by the electronics industry of the Republic of Belarus for developing the hardware components of gallium nitride power electronics
ΠΠΊΡΠΏΠ»ΡΠ°ΡΠ°ΡΠΈΠΎΠ½Π½ΡΠ΅ Ρ Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ ΡΡΠ°Π½Π·ΠΈΡΡΠΎΡΠ° Ρ Π²ΡΡΠΎΠΊΠΎΠΉ ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΠΎΡΡΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΠ½ΠΎΠ² Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π½ΠΈΡΡΠΈΠ΄Π° Π³Π°Π»Π»ΠΈΡ Ρ ΡΠ΅ΠΏΠ»ΠΎΠΎΡΠ²ΠΎΠ΄ΡΡΠΈΠΌΠΈ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠ°ΠΌΠΈ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π½ΠΈΡΡΠΈΠ΄Π° Π±ΠΎΡΠ°
A local thermal management solution for high electron mobility transistors based on GaN was developed using a BN layer as a heat-spreading element. The thermally conducting and electrically insulating nature of BN allows it to be placed close to the active area and to be in direct contact with the electrodes and the heat sink, thus introducing an additional heat-escaping route. The numerical simulations of a GaN high electron mobility transistor with the BN heat-spreading element revealed the improvement in the DC, breakdown, small-signal AC and transient characteristics. In case of sapphire substrate, the maximum temperature in the device structure operating at a power density of 3.3 W/mm was reduced by 82.4 Β°C, while the breakdown voltage at a gate-source voltage of 2 V was increased by 357 V. The cut-off frequency and the maximum oscillation frequency at a gate-source voltage of 6 V and a drain-source voltage of 30 V were enhanced by 1.38 and 1.49 times, respectively. We suppose that the proposed thermal management method can be adapted to other high-power devices.ΠΡΠ΅Π΄Π»Π°Π³Π°Π΅ΡΡΡ ΠΌΠ΅ΡΠΎΠ΄ ΡΠΌΠ΅Π½ΡΡΠ΅Π½ΠΈΡ Π²Π»ΠΈΡΠ½ΠΈΡ ΡΡΡΠ΅ΠΊΡΠ° ΡΠ°ΠΌΠΎΡΠ°Π·ΠΎΠ³ΡΠ΅Π²Π° Π² ΡΡΠ°Π½Π·ΠΈΡΡΠΎΡΠ°Ρ
Ρ Π²ΡΡΠΎΠΊΠΎΠΉ ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΠΎΡΡΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΠ½ΠΎΠ² Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π½ΠΈΡΡΠΈΠ΄Π° Π³Π°Π»Π»ΠΈΡ, ΠΊΠΎΡΠΎΡΡΠΉ Π·Π°ΠΊΠ»ΡΡΠ°Π΅ΡΡΡ Π² ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠΈ ΡΠ»ΠΎΡ Π½ΠΈΡΡΠΈΠ΄Π° Π±ΠΎΡΠ° Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠ΅ΠΏΠ»ΠΎΠΎΡΠ²ΠΎΠ΄ΡΡΠ΅Π³ΠΎ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠ°. ΠΡΡΠΎΠΊΠ°Ρ ΡΠ΅ΠΏΠ»ΠΎΠΏΡΠΎΠ²ΠΎΠ΄Π½ΠΎΡΡΡ ΠΈ Π½ΠΈΠ·ΠΊΠ°Ρ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΏΡΠΎΠ²ΠΎΠ΄ΠΈΠΌΠΎΡΡΡ Π½ΠΈΡΡΠΈΠ΄Π° Π±ΠΎΡΠ° ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡ ΡΠ°ΡΠΏΠΎΠ»Π°Π³Π°ΡΡ ΡΠ»ΠΎΠΉ Π½Π° Π΅Π³ΠΎ ΠΎΡΠ½ΠΎΠ²Π΅ Π²Π±Π»ΠΈΠ·ΠΈ Π°ΠΊΡΠΈΠ²Π½ΠΎΠΉ ΠΎΠ±Π»Π°ΡΡΠΈ ΠΈ Π½Π°Ρ
ΠΎΠ΄ΠΈΡΡΡΡ Π² ΠΏΠ»ΠΎΡΠ½ΠΎΠΌ ΠΊΠΎΠ½ΡΠ°ΠΊΡΠ΅ Ρ ΡΠ»Π΅ΠΊΡΡΠΎΠ΄Π°ΠΌΠΈ ΠΈ ΡΠ΅ΠΏΠ»ΠΎΠΏΠΎΠ³Π»ΠΎΡΠ°ΡΡΠΈΠΌ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠΌ, ΡΠΎΡΠΌΠΈΡΡΡ ΡΠ°ΠΊΠΈΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠΌ Π΄ΠΎΠΏΠΎΠ»Π½ΠΈΡΠ΅Π»ΡΠ½ΡΠΉ ΠΊΠ°Π½Π°Π» Π΄Π»Ρ ΠΎΡΠ²Π΅Π΄Π΅Π½ΠΈΡ ΠΈΠ·Π±ΡΡΠΎΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΠΏΠ»Π°. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΡΠΈΡΠ»Π΅Π½Π½ΠΎΠ³ΠΎ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΡΠ°Π½Π·ΠΈΡΡΠΎΡΠ° Ρ Π²ΡΡΠΎΠΊΠΎΠΉ ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΠΎΡΡΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΠ½ΠΎΠ² Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π½ΠΈΡΡΠΈΠ΄Π° Π³Π°Π»Π»ΠΈΡ Ρ ΡΠ΅ΠΏΠ»ΠΎΠΎΡΠ²ΠΎΠ΄ΡΡΠΈΠΌ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠΌ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π½ΠΈΡΡΠΈΠ΄Π° Π±ΠΎΡΠ° ΡΠΊΠ°Π·ΡΠ²Π°ΡΡ Π½Π° ΡΠ»ΡΡΡΠ΅Π½ΠΈΠ΅ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
, ΡΠ°ΡΡΠΎΡΠ½ΡΡ
ΠΈ ΠΏΠ΅ΡΠ΅Ρ
ΠΎΠ΄Π½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ, ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠ΅ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΡ ΠΏΡΠΎΠ±ΠΎΡ. Π ΡΠ»ΡΡΠ°Π΅ ΡΠ°ΠΏΡΠΈΡΠΎΠ²ΠΎΠΉ ΠΏΠΎΠ΄Π»ΠΎΠΆΠΊΠΈ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½Π°Ρ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ° Π² ΡΡΡΡΠΊΡΡΡΠ΅ ΠΏΡΠΈΠ±ΠΎΡΠ°, ΡΠ°Π±ΠΎΡΠ°ΡΡΠ΅Π³ΠΎ Π½Π° ΡΡΠΎΠ²Π½Π΅ 3,3 ΠΡ/ΠΌΠΌ, ΡΠ½ΠΈΠΆΠ°Π΅ΡΡΡ Π½Π° 82,4 Β°Π‘, ΠΏΡΠΈ ΡΡΠΎΠΌ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠ΅ ΠΏΡΠΎΠ±ΠΎΡ, ΡΠ°ΡΡΡΠΈΡΠ°Π½Π½ΠΎΠ΅ ΠΏΡΠΈ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΈ Π·Π°ΡΠ²ΠΎΡ-ΠΈΡΡΠΎΠΊ 2 Π, ΠΏΠΎΠ²ΡΡΠ°Π΅ΡΡΡ Π½Π° 357 Π. ΠΡΠ°Π½ΠΈΡΠ½Π°Ρ ΡΠ°ΡΡΠΎΡΠ° ΠΈ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½Π°Ρ ΡΠ°ΡΡΠΎΡΠ° Π³Π΅Π½Π΅ΡΠ°ΡΠΈΠΈ, ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΠ΅ ΠΏΡΠΈ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΈ Π·Π°ΡΠ²ΠΎΡ-ΠΈΡΡΠΎΠΊ 6 Π ΠΈ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΈ ΡΡΠΎΠΊ-ΠΈΡΡΠΎΠΊ 30 Π, ΡΠ²Π΅Π»ΠΈΡΠΈΠ²Π°ΡΡΡΡ Π² 1,38 ΠΈ 1,49 ΡΠ°Π·, ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²Π΅Π½Π½ΠΎ. ΠΡΠ΅Π΄Π»Π°Π³Π°Π΅ΠΌΠΎΠ΅ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΠΎ-ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ ΠΌΠΎΠΆΠ΅Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΡΡΡ ΠΈ Π΄Π»Ρ Π΄ΡΡΠ³ΠΈΡ
ΠΌΠΎΡΠ½ΡΡ
ΠΏΡΠΈΠ±ΠΎΡΠΎΠ²
Leakage current in AlGaN Schottky diode in terms of the phonon-assisted tunneling model
The leakage current in the AlGaN Schottky diode under a reverse bias is simulated and compared within the frameworks of the thermionic emissionβdiffusion and phonon-assisted tunneling models. It is shown that the phonon-assisted tunneling model is suitable to describe the reverse-bias characteristic of the AlGaN Schottky contact and can also be applied to calculate the gate leakage current in the AlGaN/GaN high electron mobility transistor
Mobility of a two-dimensional electron gas in the AlGaAs/GaAs heterostructure: simulation and analysis
At temperatures above 100 K, a two-dimensional electron gas generated at the AlGaAs/GaAs heterointerface can be characterized by the three dominant scattering mechanisms: acoustic deformation potential, polar acoustic phonon and polar optical phonon. An analytical model describing the two-dimensional electron gas mobility controlled by these scattering processes as a function of the electron concentration and the temperature was developed and integrated into a device simulator package using a built-in C language interpreter. The electrical characteristics of a simple AlGaAs/GaAs high electron mobility transistor were simulated using either the derived or a conventional bulk mobility model and the results were compared
Mobility of a two-dimensional electron gas in the AlGaN/GaN heterostructure: simulation and analysis
At temperatures higher than the room temperature, a two-dimensional electron gas (2DEG) formed at the AlGaN/GaN heterointerface can be characterized by the three dominant scattering mechanisms: acoustic deformation potential, polar acoustic phonon and polar optical phonon scatterings. An analytical model describing the 2DEG mobility limited by these scattering mechanisms as a function of the carrier concentration and the temperature was developed and integrated into a device simulator package using a C language interpreter. The model should be useful for heterostructure device simulators such as Blaze
Magnetic properties of low-dimensional MAX3 (M=Cr, A=Ge, Si and X=S, Se, Te) systems
The article presents the results of a magnetism study in quasi-two-dimensional MAX3 (M=Cr, A=Ge, Si and X=S, Se, Te) systems. We calculated the microscopic magnetic parameters using quantum mechanical methods and showed that MAX3 can have a high spin polarization. The easy magnetization axis lies normal to the layer plane. The main magnetic order of the CrGeSe3, CrGeTe3, CrSiSe3, and CrSiTe3 atomic systems is ferromagnetism. CrGeS3 and CrSiS3 exhibit antiferromagnetism. The low energy stability of the magnetic order is confirmed by the calculated values of the exchange interaction integral (J). We showed that the magnetic order realizes only at low temperatures. A study of the dependences of J and the magnetic anisotropy energy on the structural (distance between magnetic ions, distortion of the octahedral complex) and electronic properties (population and hybridization of atomic and molecular orbitals) has been performed. The dependences indicate three possible mechanisms of the exchange interaction. We have given ways of influencing a specific mechanism for managing exchange interaction
Π’Π΅ΠΏΠ»ΠΎΠΏΡΠΎΠ²ΠΎΠ΄Π½ΠΎΡΡΡ Π½ΠΈΡΡΠΈΠ΄Π° Π³Π°Π»Π»ΠΈΡ Ρ ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΡΡΡΠΊΡΡΡΠΎΠΉ ΡΠΈΠΏΠ° Π²ΡΡΡΠΈΡΠ°
This paper reviews the theoretical and experimental works concerning one of the most important parameters of
wurtzite gallium nitride β thermal conductivity. Since the heat in gallium nitride is transported almost exclusively by phonons, its thermal conductivity has a temperature behavior typical of most nonmetallic crystals: the thermal conductivity increases proportionally to the third power of temperature at lower temperatures, reaches its maximum at approximately 1/20 of the Debye temperature and decreases proportionally to temperature at higher temperatures. It is shown that the thermal conductivity of gallium nitride (depending on fabrication process, crystallographic direction, concentration of impurity and other defects, isotopical purity) varies significantly, emphasizing the importance of determining this parameter for the samples that closely resemble those being used in specific applications. For isotopically pure undoped wurtzite gallium nitride, the thermal conductivity at room temperature has been estimated as high as 5.4 W/(cmΒ·K). The maximum room temperature value measured for bulkshaped samples of single crystal gallium nitride has been 2.79 W/(cmΒ·K)
Physic-topological (electrical) model of a junction field effect transistor, taking into account the degradation of operational characteristics under the influence of penetrating radiation
The results of applying the compact model of junction field effect transistors developed and integrated into the Cadence software product for control to evaluate the hardness of a two-stage differential amplifier circuit under the combined or separate exposure to fluences of electrons, protons and neutrons are presented
First-principles study of anisotropic thermal conductivity of GaN, AlN, and Al0.5Ga0.5N
The thermal stability of devices based on GaN, AlN, and Al0.5Ga0.5N semiconductors is a critical property for efficient and reliable operation. The thermal conductivity of these materials has anisotropic nature. We proposed an approach for calculating the anisotropic thermal conductivity based on harmonic and anharmonic interatomic force constants of a lattice. The thermal-conductivity coefficient of GaN, AlN, and Al0.5Ga0.5N in the [100], [001], and [111] directions were calculated using ab initio methods by solving the linearized Boltzmann transport equation. It equals Ξ»[100] = 259.28, Ξ»[001] = 335.96 and Ξ»[111] = 309.56 W/(mΒ·K) for GaN; Ξ»[100] = 396.06 , Ξ»[001] = 461.65 and Ξ»[111] = 435.05 W/(mΒ·K) for AlN; and Ξ»[100] = 186.74, Ξ»[001] = 165.24 and Ξ»[111] = 177.62 W/(mΒ·K) for Al0.5Ga0.5N at 300 K. The dependence of the coefficient Ξ»(T) on temperature in the range from 250 to 750 K is presented. A comparative analysis of the GaN thermal conductivity investigations has been carried out for experimental studies and theoretical calculations
Π’Π΅ΠΏΠ»ΠΎΠΏΡΠΎΠ²ΠΎΠ΄Π½ΠΎΡΡΡ Π½ΠΈΡΡΠΈΠ΄Π° Π³Π°Π»Π»ΠΈΡ Ρ ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΡΡΡΠΊΡΡΡΠΎΠΉ ΡΠΈΠΏΠ° Π²ΡΡΡΠΈΡΠ°
This paper reviews the theoretical and experimental works concerning one of the most important parameters of wurtzite gallium nitride β thermal conductivity. Since the heat in gallium nitride is transported almost exclusively by phonons, its thermal conductivity has a temperature behavior typical of most nonmetallic crystals: the thermal conductivity increases proportionally to the third power of temperature at lower temperatures, reaches its maximum at approximately 1/20 of the Debye temperature and decreases proportionally to temperature at higher temperatures. It is shown that the thermal conductivity of gallium nitride (depending on fabrication process, crystallographic direction, concentration of impurity and other defects, isotopical purity) varies significantly, emphasizing the importance of determining this parameter for the samples that closely resemble those being used in specific applications. For isotopically pure undoped wurtzite gallium nitride, the thermal conductivity at room temperature has been estimated as high as 5.4 W/(cmΒ·K). The maximum room temperature value measured for bulkshaped samples of single crystal gallium nitride has been 2.79 W/(cmΒ·K).ΠΡΠΏΠΎΠ»Π½Π΅Π½ Π°Π½Π°Π»ΠΈΠ· ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ ΠΎΠ΄Π½ΠΎΠ³ΠΎ ΠΈΠ· Π²Π°ΠΆΠ½Π΅ΠΉΡΠΈΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² Π½ΠΈΡΡΠΈΠ΄Π° Π³Π°Π»Π»ΠΈΡ Ρ ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΡΡΡΠΊΡΡΡΠΎΠΉ ΡΠΈΠΏΠ° Π²ΡΡΡΠΈΡΠ° β ΡΠ΅ΠΏΠ»ΠΎΠΏΡΠΎΠ²ΠΎΠ΄Π½ΠΎΡΡΠΈ. Π’Π°ΠΊ ΠΊΠ°ΠΊ ΠΏΠ΅ΡΠ΅Π½ΠΎΡ ΡΠ΅ΠΏΠ»Π° Π² Π½ΠΈΡΡΠΈΠ΄Π΅ Π³Π°Π»Π»ΠΈΡ ΠΎΡΡΡΠ΅ΡΡΠ²Π»ΡΠ΅ΡΡΡ Π³Π»Π°Π²Π½ΡΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠΌ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΡΠΎΠ½ΠΎΠ½ΠΎΠ², Π΅Π³ΠΎ ΡΠ΅ΠΏΠ»ΠΎΠΏΡΠΎΠ²ΠΎΠ΄Π½ΠΎΡΡΡ ΠΈΠΌΠ΅Π΅Ρ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΡ Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΡ, Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠ½ΡΡ Π΄Π»Ρ Π±ΠΎΠ»ΡΡΠΈΠ½ΡΡΠ²Π° Π½Π΅ΠΌΠ΅ΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ²: ΡΠ²Π΅Π»ΠΈΡΠΈΠ²Π°Π΅ΡΡΡ ΠΏΡΠΎΠΏΠΎΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎ ΡΡΠ΅ΡΡΠ΅ΠΉ ΡΡΠ΅ΠΏΠ΅Π½ΠΈ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ Π² ΠΎΠ±Π»Π°ΡΡΠΈ Π½ΠΈΠ·ΠΊΠΈΡ
ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡ, Π΄ΠΎΡΡΠΈΠ³Π°Π΅Ρ ΡΠ²ΠΎΠ΅Π³ΠΎ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ Π·Π½Π°ΡΠ΅Π½ΠΈΡ ΠΏΡΠΈ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ΅, ΠΏΡΠΈΠ±Π»ΠΈΠ·ΠΈΡΠ΅Π»ΡΠ½ΠΎ ΡΠ°Π²Π½ΠΎΠΉ 1/20 ΠΎΡ Π΄Π΅Π±Π°Π΅Π²ΡΠΊΠΎΠΉ, ΠΈ ΡΠΌΠ΅Π½ΡΡΠ°Π΅ΡΡΡ ΠΏΡΠΎΠΏΠΎΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ΅ Π² ΠΎΠ±Π»Π°ΡΡΠΈ Π²ΡΡΠΎΠΊΠΈΡ
ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΡΡΠ»ΠΎΠ²ΠΈΠΉ (ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡ ΠΈΠ·Π³ΠΎΡΠΎΠ²Π»Π΅Π½ΠΈΡ ΠΎΠ±ΡΠ°Π·ΡΠ°, ΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΠ΅, ΠΊΠΎΠ½ΡΠ΅Π½ΡΡΠ°ΡΠΈΡ ΠΏΡΠΈΠΌΠ΅ΡΠΈ ΠΈ Π΄ΡΡΠ³ΠΈΡ
Π΄Π΅ΡΠ΅ΠΊΡΠΎΠ², ΠΈΠ·ΠΎΡΠΎΠΏΠ½ΡΠΉ ΡΠΎΡΡΠ°Π²) ΡΠ΅ΠΏΠ»ΠΎΠΏΡΠΎΠ²ΠΎΠ΄Π½ΠΎΡΡΡ Π½ΠΈΡΡΠΈΠ΄Π° Π³Π°Π»Π»ΠΈΡ ΠΌΠΎΠΆΠ΅Ρ Π½Π°Ρ
ΠΎΠ΄ΠΈΡΡΡΡ Π² Π±ΠΎΠ»ΡΡΠΎΠΌ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½Π΅ Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ, ΡΡΠΎ ΡΠΊΠ°Π·ΡΠ²Π°Π΅Ρ Π½Π° Π²Π°ΠΆΠ½ΠΎΡΡΡ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΡΡΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ° ΠΈΠΌΠ΅Π½Π½ΠΎ ΡΠ΅Ρ
ΠΎΠ±ΡΠ°Π·ΡΠΎΠ² ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»Π°, ΠΊΠΎΡΠΎΡΡΠ΅ ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΡΡΡΡ Π² ΠΊΠΎΠ½ΠΊΡΠ΅ΡΠ½ΡΡ
ΠΏΡΠΈΠ»ΠΎΠΆΠ΅Π½ΠΈΡΡ
. Π’Π΅ΠΏΠ»ΠΎΠΏΡΠΎΠ²ΠΎΠ΄Π½ΠΎΡΡΡ Π½Π΅Π»Π΅Π³ΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠ³ΠΎ ΠΈΠ·ΠΎΡΠΎΠΏΠ½ΠΎ-ΡΠΈΡΡΠΎΠ³ΠΎ Π½ΠΈΡΡΠΈΠ΄Π° Π³Π°Π»Π»ΠΈΡ ΠΏΡΠΈ ΠΊΠΎΠΌΠ½Π°ΡΠ½ΠΎΠΉ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ΅ ΠΎΡΠ΅Π½ΠΈΠ²Π°Π΅ΡΡΡ Π½Π° ΡΡΠΎΠ²Π½Π΅ 5,4 ΠΡ/(ΡΠΌΒ·Π). ΠΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½Π°Ρ ΡΠ΅ΠΏΠ»ΠΎΠΏΡΠΎΠ²ΠΎΠ΄Π½ΠΎΡΡΡ, Π΄ΠΎΡΡΠΈΠ³Π½ΡΡΠ°Ρ Π΄Π»Ρ ΠΎΠ±ΡΠ΅ΠΌΠ½ΠΎΠ³ΠΎ ΠΎΠ±ΡΠ°Π·ΡΠ° ΠΈΠ· ΠΌΠΎΠ½ΠΎΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π½ΠΈΡΡΠΈΠ΄Π° Π³Π°Π»Π»ΠΈΡ, ΡΠ°Π²Π½Π° 2,79 ΠΡ/(ΡΠΌΒ·Π)
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