412 research outputs found
Lifetime of Gapped Excitations in a Collinear Quantum Antiferromagnet
We demonstrate that local modulations of magnetic couplings have a profound
effect on the temperature dependence of the relaxation rate of optical magnons
in a wide class of antiferromagnets in which gapped excitations coexist with
acoustic spin waves. In a two-dimensional collinear antiferromagnet with an
easy-plane anisotropy, the disorder-induced relaxation rate of the gapped mode,
Gamma_imp=Gamma_0+A(TlnT)^2, greatly exceeds the magnon-magnon damping,
Gamma_m-m=BT^5, negligible at low temperatures. We measure the lifetime of
gapped magnons in a prototype XY antiferromagnet BaNi2(PO4)2 using a
high-resolution neutron-resonance spin-echo technique and find experimental
data in close accord with the theoretical prediction. Similarly strong effects
of disorder in the three-dimensional case and in noncollinear antiferromagnets
are discussed.Comment: 4.5 pages + 2.5 pages supplementary material, published versio
Crystal structure of mixed fluorites Ca(1-x)Sr(x)F(2) and Sr(1-x)Ba(x)F(2) and luminescence of Eu(2+) in the crystals
Within the framework of the virtual crystal method implemented in the shell
model and pair potential approximation the crystal structure of mixed fluorites
Ca(1-x)Sr(x)F(2) and Sr(1-x)Ba(x)F(2) has been calculated. The impurity center
Eu(2+) and the distance Eu(2+)-F in this crystals have been also calculated.
The low level position of excited 4f65d configuration of the Eu(2+) ion has
been expressed using phenomenological dependence on distance E(2+)-F. The
dependences of Stokes shift and Huang-Rhys factor on concentration x have been
received for yellow luminescence in Sr(1-x)Ba(x)F(2):Eu(2+). The value x, for
which the eg -level of Eu(2+) ion will be in conduction band in
Sr(1-x)Ba(x)F(2):Eu(2+) has been calculated.Comment: 8 pages, 3 figures. The manuscript is sent to journal 'Physics of the
solid state'. The results will be submitted on inernational conference
SCINTMAT'2002 in oral session (june,20-22,2002,Ekaterinburg,Russia).
Corresponding author e-mail: [email protected]
Instability of antiferromagnetic magnons in strong fields
We predict that spin-waves in an ordered quantum antiferromagnet (AFM) in a
strong magnetic field become unstable with respect to spontaneous two-magnon
decays. At zero temperature, the instability occurs between the threshold field
and the saturation field . As an example, we investigate the
high-field dynamics of a Heisenberg antiferromagnet on a square lattice and
show that the single-magnon branch of the spectrum disappears in the most part
of the Brillouin zone.Comment: RevTeX, 4 pages, 3 figures, accepted to PR
Holes in the t-J_z model: a thorough study
The t-J_z model is the strongly anisotropic limit of the t-J model which
captures some general properties of the doped antiferromagnets (AF). The
absence of spin fluctuations simplifies the analytical treatment of hole motion
in an AF background and allows us to calculate the single- and two-hole spectra
with high accuracy using regular diagram technique combined with real-space
approach. At the same time, numerical studies of this model via exact
diagonalization (ED) on small clusters show negligible finite size effects for
a number of quantities, thus allowing a direct comparison between analytical
and numerical results. Both approaches demonstrate that the holes have tendency
to pair in the p- and d-wave channels at realistic values of t/J. The
interactions leading to pairing and effects selecting p and d waves are
thoroughly investigated. The role of transverse spin fluctuations is considered
using perturbation theory. Based on the results of the present study, we
discuss the pairing problem in the realistic t-J-like model. Possible
implications for preformed pairs formation and phase separation are drawn.Comment: 21 pages, 15 figure
Rapid Mass Spectrometric Study of a Supercritical CO2-extract from Woody Liana Schisandra chinensis by HPLC-SPD-ESI-MS/MS
Woody liana Schisandra chinensis contains valuable lignans, which are phenylpropanoids with valuable biological activity. Among green and selective extraction methods, supercritical carbon dioxide (SC-CO2) was shown to be the method of choice for the recovery of these naturally occurring compounds. Carbon dioxide (CO2) was the solvent with the flow rate (10−25 g/min) with 2% ethanol as co-solvent. In this piece of work operative parameters and working conditions were optimized by experimenting with different pressures (200–400 bars) and temperatures (40–60 °C). The extraction time varied from 60 to 120 min. HPLC-SPD-ESI -MS/MS techniques were applied to detect target analytes. Twenty-six different lignans were identified in the S. chinensis SC-CO2 extracts
Spontaneous Magnon Decays
A theoretical overview of the phenomenon of spontaneous magnon decays in
quantum antiferromagnets is presented. The intrinsic zero-temperature damping
of magnons in quantum spin systems is a fascinating many-body effect, which has
recently attracted significant attention in view of its possible observation in
neutron-scattering experiments. An introduction to the theory of magnon
interactions and a discussion of necessary symmetry and kinematic conditions
for spontaneous decays are provided. Various parallels with the decays of
anharmonic phonons and excitations in superfluid 4He are extensively used.
Three principal cases of spontaneous magnon decays are considered:
field-induced decays in Heisenberg antiferromagnets, zero-field decays in
spiral antiferromagnets, and triplon decays in quantum-disordered magnets.
Analytical results are compared with available numerical data and prospective
materials for experimental observation of the decay-related effects are briefly
discussed.Comment: v3.0, asymptotically close to the published versio
Thermal drag revisited: Boltzmann versus Kubo
The effect of mutual drag between phonons and spin excitations on the thermal
conductivity of a quantum spin system is discussed. We derive general
expression for the drag component of the thermal current using both Boltzmann
equation approach and Kubo linear-response formalism to leading order in the
spin-phonon coupling. We demonstrate that aside from higher-order corrections
which appear in the Kubo formalism both approaches yield identical results for
the drag thermal conductivity. We discuss the range of applicability of our
result and provide a generalization of our consideration to the cases of
fermionic excitations and to anomalous forms of boson-phonon coupling. Several
asymptotic regimes of our findings relevant to realistic situations are
highlighted.Comment: 14 pages, 3 figures, published version, extended discussio
ΠΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΎΡΠ΅ΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΡ ΠΊΡΠ΅ΠΌΠ½ΠΈΠΉΠΎΡΠ³Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΡ ΠΆΠΈΠ΄ΠΊΠΎΡΡΠ΅ΠΉ Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ Π½Π΅ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΡΡ ΡΠ°Π· Π² Π³Π°Π·ΠΎΠΆΠΈΠ΄ΠΊΠΎΡΡΠ½ΠΎΠΉ Ρ ΡΠΎΠΌΠ°ΡΠΎΠ³ΡΠ°ΡΠΈΠΈ
The thermal stability of organosilicon stationary phases for gas-liquid chromatography has been tested under conditions approximating the real operation of chromatographic column.ΠΡΠΎΠ²Π΅Π΄Π΅Π½Ρ ΠΈΡΠΏΡΡΠ°Π½ΠΈΡ ΡΠ΅ΡΠΌΠΎΡΡΠΎΠΉΠΊΠΎΡΡΠΈ ΠΎΡΠ΅ΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΡ
ΠΊΡΠ΅ΠΌΠ½ΠΈΠΉΠΎΡΠ³Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΡ
Π½Π΅ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΡΡ
ΡΠ°Π· Π² ΡΡΠ»ΠΎΠ²ΠΈΡΡ
, ΠΏΡΠΈΠ±Π»ΠΈΠΆΠ΅Π½Π½ΡΡ
ΠΊ ΠΎΠ±ΡΡΠ½ΡΠΌ ΡΡΠ»ΠΎΠ²ΠΈΡΠΌ ΡΠ°Π±ΠΎΡΡ Ρ
ΡΠΎΠΌΠ°ΡΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΊΠΎΠ»ΠΎΠ½Π½. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ Π·Π½Π°ΡΠ΅Π½ΠΈΡ Π²Π΅ΡΡ
Π½Π΅Π³ΠΎ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΎΠ³ΠΎ ΠΏΡΠ΅Π΄Π΅Π»Π° Π±ΠΎΠ»ΡΡΠΈΠ½ΡΡΠ²Π° ΠΊΡΠ΅ΠΌΠ½ΠΈΠΉΠΎΡΠ³Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΡ
Π½Π΅ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΡΡ
ΡΠ°Π· Π±ΡΠ»ΠΈ Π·Π°Π²ΡΡΠ΅Π½Ρ. ΠΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Ρ Π·Π½Π°ΡΠ΅Π½ΠΈΡ Π²Π΅ΡΡ
Π½Π΅Π³ΠΎ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΎΠ³ΠΎ ΠΏΡΠ΅Π΄Π΅Π»Π° ΡΡΠΈΡ
Π½Π΅ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΡΡ
ΡΠ°Π·, ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΡΡΠΈΠ΅ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΡΠΌ ΡΡΠ΅Π±ΠΎΠ²Π°Π½ΠΈΡ
ΠΡΠ΄Π΅Π»Π΅Π½ΠΈΠ΅ Π½Π΅ΠΊΠΎΡΠΎΡΡΡ Π²ΡΡΠΎΠΊΠΎΠΊΠΈΠΏΡΡΠΈΡ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠΎΡΠ³Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΏΡΠ΅ΠΏΠ°ΡΠ°ΡΠΈΠ²Π½ΠΎΠΉ Π³Π°Π·ΠΎΠ²ΠΎΠΉ Ρ ΡΠΎΠΌΠ°ΡΠΎΠ³ΡΠ°ΡΠΈΠΈ
Preparative gas chromatography is proposed to isolate some high-boiling organometallic compounds. Isolation of high-boiling substances should be conducted at a column temperature significantly below the boiling point, because most isolated compounds are thermally unstable at such temperatures. Stationary phases for preparative gas chromatography have a temperature limit of 350Β°C. The reduction of the column temperature is based on simultaneous changing the parameters of the chromatographic experiment (column length, impregnation degree, flow rate of the carrier gas). The influence of reducing the column temperature on the shape of the chromatographic peak is shown. The peak has an asymmetric shape, and its width increases. Therefore, the possibility of high-boiling substances preparative isolation depends on temperature decrease as the column separation efficiency is maintained.ΠΠ΅ΡΠΎΠ΄ ΠΏΡΠ΅ΠΏΠ°ΡΠ°ΡΠΈΠ²Π½ΠΎΠΉ Π³Π°Π·ΠΎΠ²ΠΎΠΉ Ρ
ΡΠΎΠΌΠ°ΡΠΎΠ³ΡΠ°ΡΠΈΠΈ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ Π΄Π»Ρ Π²ΡΠ΄Π΅Π»Π΅Π½ΠΈΡ Π½Π΅ΠΊΠΎΡΠΎΡΡΡ
Π²ΡΡΠΎΠΊΠΎΠΊΠΈΠΏΡΡΠΈΡ
ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠΎΡΠ³Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΠΉ. ΠΡΠ΄Π΅Π»Π΅Π½ΠΈΠ΅ Π²ΡΡΠΎΠΊΠΎΠΊΠΈΠΏΡΡΠΈΡ
Π²Π΅ΡΠ΅ΡΡΠ² Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎ ΠΏΡΠΎΠ²ΠΎΠ΄ΠΈΡΡ ΠΏΡΠΈ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ΅, Π·Π½Π°ΡΠΈΡΠ΅Π»ΡΠ½ΠΎ Π½ΠΈΠΆΠ΅ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ ΠΊΠΈΠΏΠ΅Π½ΠΈΡ, ΡΠ°ΠΊ ΠΊΠ°ΠΊ Π±ΠΎΠ»ΡΡΠΈΠ½ΡΡΠ²ΠΎ Π²ΡΠ΄Π΅Π»ΡΠ΅ΠΌΡΡ
ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΠΉ ΡΠ΅ΡΠΌΠΈΡΠ΅ΡΠΊΠΈ Π½Π΅ΡΡΡΠΎΠΉΡΠΈΠ²Ρ ΠΏΡΠΈ ΡΠ°ΠΊΠΈΡ
ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ°Ρ
. ΠΠ΅ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΡΠ΅ ΡΠ°Π·Ρ Π΄Π»Ρ ΠΏΡΠ΅ΠΏΠ°ΡΠ°ΡΠΈΠ²Π½ΠΎΠΉ Π³Π°Π·ΠΎΠ²ΠΎΠΉ Ρ
ΡΠΎΠΌΠ°ΡΠΎΠ³ΡΠ°ΡΠΈΠΈ ΠΈΠΌΠ΅ΡΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΠΉ ΠΏΡΠ΅Π΄Π΅Π» 350ΒΊΠ‘. Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½Ρ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ Π²ΡΠ΄Π΅Π»Π΅Π½ΠΈΡ Π²ΡΡΠΎΠΊΠΎΠΊΠΈΠΏΡΡΠΈΡ
Π²Π΅ΡΠ΅ΡΡΠ² ΠΏΡΠΈ ΡΠ½ΠΈΠΆΠ΅Π½ΠΈΠΈ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ ΠΊΠΎΠ»ΠΎΠ½ΠΊΠΈ ΠΎΡΠ½ΠΎΡΠΈΡΠ΅Π»ΡΠ½ΠΎ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ ΠΊΠΈΠΏΠ΅Π½ΠΈΡ Π²Π΅ΡΠ΅ΡΡΠ²Π°. ΠΠΎΠ½ΠΈΠΆΠ΅Π½ΠΈΠ΅ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ ΠΊΠΎΠ»ΠΎΠ½ΠΊΠΈ Π΄ΠΎΡΡΠΈΠ³Π½ΡΡΠΎ ΠΏΡΡΠ΅ΠΌ ΠΎΠ΄Π½ΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² Ρ
ΡΠΎΠΌΠ°ΡΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΎΠΏΡΡΠ° (Π΄Π»ΠΈΠ½Ρ ΠΊΠΎΠ»ΠΎΠ½ΠΊΠΈ, ΡΡΠ΅ΠΏΠ΅Π½ΠΈ ΠΏΡΠΎΠΏΠΈΡΠΊΠΈ, ΡΠΊΠΎΡΠΎΡΡΠΈ Π³Π°Π·Π°-Π½ΠΎΡΠΈΡΠ΅Π»Ρ). ΠΠ΄Π½Π°ΠΊΠΎ ΠΏΡΠΈ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠΈ ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ ΠΊΠΈΠΏΠ΅Π½ΠΈΡ ΠΊ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ΅ ΠΊΠΎΠ»ΠΎΠ½ΠΊΠΈ Π½Π°Π±Π»ΡΠ΄Π°Π΅ΡΡΡ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΡΠΎΡΠΌΡ ΠΏΠΈΠΊΠ°, Π²ΠΎΠ·ΡΠ°ΡΡΠ°Π½ΠΈΠ΅ Π΅Π³ΠΎ ΡΠΈΡΠΈΠ½Ρ. ΠΠΎΡΡΠΎΠΌΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΠΏΡΠ΅ΠΏΠ°ΡΠ°ΡΠΈΠ²Π½ΠΎΠ³ΠΎ Π²ΡΠ΄Π΅Π»Π΅Π½ΠΈΡ Π²ΡΡΠΎΠΊΠΎΠΊΠΈΠΏΡΡΠΈΡ
Π²Π΅ΡΠ΅ΡΡΠ² Π·Π°Π²ΠΈΡΠΈΡ ΠΎΡ ΡΠ½ΠΈΠΆΠ΅Π½ΠΈΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ ΠΊΠΎΠ»ΠΎΠ½ΠΊΠΈ ΠΏΡΠΈ ΡΠΎΡ
ΡΠ°Π½Π΅Π½ΠΈΠΈ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΡΠ°Π·Π΄Π΅Π»Π΅Π½ΠΈΡ
ΠΡΠ΄Π΅Π»Π΅Π½ΠΈΠ΅ Π½Π΅ΠΊΠΎΡΠΎΡΡΡ ΠΎΡΠ³Π°Π½ΠΎΡ Π»ΠΎΡΡΠΈΠ»Π°Π½ΠΎΠ² ΠΌΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΏΡΠ΅ΠΏΠ°ΡΠ°ΡΠΈΠ²Π½ΠΎΠΉ Π³Π°Π·ΠΎΠ²ΠΎΠΉ Ρ ΡΠΎΠΌΠ°ΡΠΎΠ³ΡΠ°ΡΠΈΠΈ
The preparative gas chromatography method has been used for isolation and analysis of the organochlorsilanes isomers. The reaction of the organochlorsilanes with vapour of the water in the air has been studied. The method for isolation of the organochlorsilanes is proposed. It is based on using chromatographic column with efficiency up to 10000 theoretical plates. A high degree of purity (up to 99%) of the isolated compounds is achieved by an increase of separation selectivity, which is turned results from a temperature decrease. The effect of the parameters of chromatographic experiment (the column length, impregnation degree, the rate of gas-carrier) on the isolation of the compounds boiling up to 400o C was investigated.ΠΠ΅ΡΠΎΠ΄ Π³Π°Π·ΠΎΠ²ΠΎΠΉ Ρ
ΡΠΎΠΌΠ°ΡΠΎΠ³ΡΠ°ΡΠΈΠΈ, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΡΠΉ Π½Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠΈ Ρ
ΡΠΎΠΌΠ°ΡΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΊΠΎΠ»ΠΎΠ½ΠΎΠΊ Ρ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΡΡ Π΄ΠΎ 10000 ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ°ΡΠ΅Π»ΠΎΠΊ, ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ Π΄Π»Ρ Π²ΡΠ΄Π΅Π»Π΅Π½ΠΈΡ ΠΈ Π°Π½Π°Π»ΠΈΠ·Π° Π½Π΅ΠΊΠΎΡΠΎΡΡΡ
ΠΈΠ·ΠΎΠΌΠ΅ΡΠΎΠ² ΠΎΡΠ³Π°Π½ΠΎΡ
Π»ΠΎΡΡΠΈΠ»Π°Π½ΠΎΠ², ΠΊΠΎΡΠΎΡΡΠ΅ Π°ΠΊΡΠΈΠ²Π½ΠΎ ΡΠ΅Π°Π³ΠΈΡΡΡΡ Ρ Π²Π»Π°Π³ΠΎΠΉ Π²ΠΎΠ·Π΄ΡΡ
Π°. ΠΡΡΠΎΠΊΠ°Ρ ΡΠΈΡΡΠΎΡΠ° (Π΄ΠΎ 99%) Π²ΡΠ΄Π΅Π»Π΅Π½Π½ΡΡ
ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΠΉ Π΄ΠΎΡΡΠΈΠ³Π°Π΅ΡΡΡ Π·Π° ΡΡΠ΅Ρ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΡ ΡΠ΅Π»Π΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΠΏΡΡΠ΅ΠΌ ΠΏΠΎΠ½ΠΈΠΆΠ΅Π½ΠΈΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ. ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ ΡΡΠ»ΠΎΠ²ΠΈΡ Π²ΡΠ΄Π΅Π»Π΅Π½ΠΈΡ Π½Π΅ΠΊΠΎΡΠΎΡΡΡ
ΠΈΠ·ΠΎΠΌΠ΅ΡΠΎΠ² ΠΎΡΠ³Π°Π½ΠΎ- Ρ
Π»ΠΎΡΡΠΈΠ»Π°Π½ΠΎΠ² c ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ°ΠΌΠΈ ΠΊΠΈΠΏΠ΅Π½ΠΈΡ Π΄ΠΎ 400ΠΎ Π‘ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΏΡΠ΅ΠΏΠ°ΡΠ°ΡΠΈΠ²Π½ΠΎΠΉ Π³Π°Π·ΠΎΠ²ΠΎΠΉ Ρ
ΡΠΎΠΌΠ°ΡΠΎΠ³ΡΠ°ΡΠΈΠΈ. ΠΠΎΠΊΠ°Π·Π°Π½Ρ ΠΏΡΡΠΈ ΠΏΡΠ΅ΠΎΠ΄ΠΎΠ»Π΅Π½ΠΈΡ ΠΌΠ΅ΡΠΎΠ΄ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΡΠ΄Π½ΠΎΡΡΠ΅ΠΉ, Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡΠΈΡ
ΠΏΡΠΈ Π²ΡΠ΄Π΅Π»Π΅Π½ΠΈΠΈ Π²ΡΡΠΎΠΊΠΎΠΊΠΈΠΏΡΡΠΈΡ
ΠΈΠ·ΠΎΠΌΠ΅ΡΠΎΠ². ΠΡΠΈΠ²Π΅Π΄Π΅Π½Ρ Π΄Π°Π½Π½ΡΠ΅ ΠΏΠΎ Π²ΡΠ΄Π΅Π»Π΅Π½ΠΈΡ ΠΈΠ·ΠΎΠΌΠ΅ΡΠΎΠ² Ρ
Π»ΠΎΡΡΠΈΠ»Π°Π½ΠΎΠ², ΡΠΎΠ΄Π΅ΡΠΆΠ°ΡΠΈΡ
ΡΠ°Π·Π»ΠΈΡΠ½ΡΠ΅ ΡΠ°Π΄ΠΈΠΊΠ°Π»Ρ (ΠΌΠ΅ΡΠΈΠ»-, Π²ΠΈΠ½ΠΈΠ»-, ΡΠ΅Π½ΠΈΠ»-, Π°Π΄Π°ΠΌΠ°Π½ΡΠΈΠ»-
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