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    Π£Ρ€ΠΎΠ²Π΅Π½ΡŒ ΠΈ качСство ΠΆΠΈΠ·Π½ΠΈ насСлСния Π² Ρ€Π΅Π³ΠΈΠΎΠ½Π°Ρ… ΠŸΡ€ΠΈΠ²ΠΎΠ»ΠΆΡΠΊΠΎΠ³ΠΎ Ρ„Π΅Π΄Π΅Ρ€Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ ΠΎΠΊΡ€ΡƒΠ³Π°: соврСмСнноС состояниС ΠΈ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠ° развития

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    This article reviews the research of interregional differences in the level and quality of live in the regions of the Privolzhsky (Volga) FederalΒ District (PFD). The regions of the district were ranked basedΒ  on the integral estimation of quality of life of the population, leadersΒ  and outsidersΒ were designated. Analysis of skewness coefficients ofΒ  selected components of integral index revealed the multifacetedΒ  nature of disparities inΒ well-being and quality of life within theΒ  regions of the PFD.Β Measurements of this indicator over time showed that there has been a common trend to slow down the growth of theΒ  well-being of theΒ population, and in many territories the situation isΒ  characterized by stagnation and decline. In general, in the nextΒ  years these trends may, inΒ the authors’ opinion, continue. In this regard, estimating quantity characteristics of changes in some components of the well-being and qualityΒ of life in every region,Β  reasons for the observed shifts are important in order to come upΒ  with definite solutions on unwinding of imbalances inΒ socio-economic development of selected territories.Π’ ΡΡ‚Π°Ρ‚ΡŒΠ΅ ΠΈΠ·Π»Π°Π³Π°ΡŽΡ‚ΡΡ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ исслСдования ΠΌΠ΅ΠΆΡ€Π΅Π³ΠΈΠΎΠ½Π°Π»ΡŒΠ½Ρ‹Ρ… Ρ€Π°Π·Π»ΠΈΡ‡ΠΈΠΉ Π² ΡƒΡ€ΠΎΠ²Π½Π΅ ΠΈ качСствС ΠΆΠΈΠ·Π½ΠΈ насСлСния Π² ΡΡƒΠ±ΡŠΠ΅ΠΊΡ‚Π°Ρ…Β ΠŸΡ€ΠΈΠ²ΠΎΠ»ΠΆΡΠΊΠΎΠ³ΠΎ Ρ„Π΅Π΄Π΅Ρ€Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ ΠΎΠΊΡ€ΡƒΠ³Π° (ПЀО). На  основС ΠΈΠ½Ρ‚Π΅Π³Ρ€Π°Π»ΡŒΠ½ΠΎΠΉ ΠΎΡ†Π΅Π½ΠΊΠΈ качСства ΠΆΠΈΠ·Π½ΠΈ насСлСния составлСн Ρ€Π΅ΠΉΡ‚ΠΈΠ½Π³ Ρ€Π΅Π³ΠΈΠΎΠ½ΠΎΠ²Β ΠΎΠΊΡ€ΡƒΠ³Π°,Β  ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½Ρ‹ Π»ΠΈΠ΄Π΅Ρ€Ρ‹ ΠΈ аутсайдСры. Анализ коэффициСнтов асиммСтричности ΠΎΡ‚Π΄Π΅Π»ΡŒΠ½Ρ‹Ρ…Β  ΡΠΎΡΡ‚Π°Π²Π»ΡΡŽΡ‰ΠΈΡ… ΠΈΠ½Ρ‚Π΅Π³Ρ€Π°Π»ΡŒΠ½ΠΎΠ³ΠΎΒ ΠΈΠ½Π΄ΠΈΠΊΠ°Ρ‚ΠΎΡ€Π° выявил многоаспСктный Ρ…Π°Ρ€Π°ΠΊΡ‚Π΅Ρ€Β  Π΄ΠΈΡ„Ρ„Π΅Ρ€Π΅Π½Ρ†ΠΈΠ°Ρ†ΠΈΠΈ насСлСния ΠΏΠΎ ΡƒΡ€ΠΎΠ²Π½ΡŽ Π΅Π³ΠΎ благосостояния ΠΈ качСству ΠΆΠΈΠ·Π½ΠΈ Π²Β Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Ρ…Β  Ρ€Π΅Π³ΠΈΠΎΠ½Π°Ρ… ПЀО.Β ΠŸΠΎΠ»ΡƒΡ‡Π΅Π½Π½Ρ‹Π΅ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ ΠΈΠ·ΠΌΠ΅Ρ€Π΅Π½ΠΈΠΉ этого показатСля Π² Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠ΅Β  ΡΠ²ΠΈΠ΄Π΅Ρ‚Π΅Π»ΡŒΡΡ‚Π²ΡƒΡŽΡ‚ ΠΎ Ρ‚ΠΎΠΌ, Ρ‡Ρ‚ΠΎ Π² послСдниС Π΄Π²Π° Π³ΠΎΠ΄Π° отмСчаСтся общая тСндСнция замСдлСния  роста благосостояния насСлСния, Π° Π²ΠΎ ΠΌΠ½ΠΎΠ³ΠΈΡ… тСрриториях ситуация характСризуСтся  стагнациСй и спадом. Π’ Ρ†Π΅Π»ΠΎΠΌ, Π² блиТайшиС Π³ΠΎΠ΄Ρ‹, ΠΏΠΎ мнСнию Π°Π²Ρ‚ΠΎΡ€ΠΎΠ², сущСствуСт  Π²Π΅Ρ€ΠΎΡΡ‚Π½ΠΎΡΡ‚ΡŒ сохранСния выявлСнных Ρ‚Ρ€Π΅Π½Π΄ΠΎΠ². Π’ этом контСкстС ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅Β  количСствСнных характСристик ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΉ ΠΎΡ‚Π΄Π΅Π»ΡŒΠ½Ρ‹Ρ… ΡΠΎΡΡ‚Π°Π²Π»ΡΡŽΡ‰ΠΈΡ… ΠΈΠ½Ρ‚Π΅Π³Ρ€Π°Π»ΡŒΠ½ΠΎΠ³ΠΎΒ  ΠΈΠ½Π΄ΠΈΠΊΠ°Ρ‚ΠΎΡ€Π° благосостояния ΠΈ качСства ΠΆΠΈΠ·Π½ΠΈ насСлСния Π² ΠΊΠ°ΠΆΠ΄ΠΎΠΌ ΠΈΠ· Ρ€Π΅Π³ΠΈΠΎΠ½ΠΎΠ², Π° Ρ‚Π°ΠΊΠΆΠ΅Β  выявлСниС ΠΏΡ€ΠΈΡ‡ΠΈΠ½ Π½Π°Π±Π»ΡŽΠ΄Π°Π΅ΠΌΡ‹Ρ… сдвигов ΠΊΡ€Π°ΠΉΠ½Π΅ Π²Π°ΠΆΠ½Ρ‹ для выработки ΠΊΠΎΠ½ΠΊΡ€Π΅Ρ‚Π½Ρ‹Ρ… Ρ€Π΅ΡˆΠ΅Π½ΠΈΠΉ ΠΏΠΎ сглаТиванию диспропорций Π² ΡΠΎΡ†ΠΈΠ°Π»ΡŒΠ½ΠΎ-экономичСском Ρ€Π°Π·Π²ΠΈΡ‚ΠΈΠΈ ΠΎΡ‚Π΄Π΅Π»ΡŒΠ½Ρ‹Ρ… Ρ‚Π΅Ρ€Ρ€ΠΈΡ‚ΠΎΡ€ΠΈΠΉ

    Using non-adiabatic excitation transfer for signal transmission between molecular logic gates

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    Molecular logic gates (MLG) are molecules which perform logic operations. Their integration into a computing system is a very difficult task which remains to be addressed. The problem lies in the field of signal exchange between the gates within the system. We propose using non-adiabatic excitation transfer between the gates to address this problem while absorption and fluorescence are left to communicate with external devices. Excitation transfer was studied using the modified Bixon-Jortner- Plotnikov theory on the example of the 3H-thioxanthene-TTF-dibenzo-BODIPY covalently linked triade. Several designs of the molecule were studied in vacuum and cyclohexane. It was found that the molecular logic system has to be planar and rigid to isolate radiative interfaces from other gates. Functioning of these gates is based on dark Ο€Οƒβˆ—-states in contrast to bright Ο€Ο€βˆ—-states of radiative interfaces. There are no fundamental difference between Ο€Ο€βˆ— β†’ Ο€Οƒβˆ— and Ο€Ο€βˆ— β†’ Ο€Ο€βˆ— transitions for cases when an exciton hopes from one gate to another. The rates of such transitions depend only on an energy gap between states and a distance between gates. A circuit is highly sensitive to the choice of solvent which could rearrange its state structure thereby altering its behavior. According to the obtained results, non-adiabatic transfer can be considered as one of the possible ways for transmitting a signal between MLGs

    A simplified Bixon-Jortner-Plotnikov method for fast calculation of radiationless transfer rates in symmetric molecules

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    A simplified form of the Bixon-Jortner-Plotnikov (BJP) method is derived for calculation of internal conversion (IC) rate in a symmetrical molecule. The rate is a sum of contributions from individual transitions between vibronic states. For each transition, vibrational modes are divided into two groups, the promoting (one or two modes per electronic transition) and the surrounding ones. In the case of the non-totally symmetric transition in a symmetric molecule, the overwhelming majority of transitions do not contribute to the overall rate. Moreover, the promoting and surrounding modes belong to different symmetry representations and can be separated. It is proposed to deal with the promoting modes directly, while approximating the effect of the surrounding modes by a Pekarian function. The method was tested on polyacenes and it was shown that the calculated IC rates are in agreement with the experimental ones. The simplified method can be applied for calculating the rates of non-totally symmetric transition in a symmetric molecule, if its point symmetry group does not change after transition

    ΠšΠΎΠ½Ρ‚ΠΈΠ½ΡƒΠ°Π»ΡŒΠ½ΠΎΠ΅ ΠΏΡ€ΠΈΠ±Π»ΠΈΠΆΠ΅Π½ΠΈΠ΅ Π² Ρ‚Π΅ΠΎΡ€ΠΈΠΈ срСднСго поля нСсоизмСримых ΠΌΠ°Π³Π½ΠΈΡ‚Π½Ρ‹Ρ… состояний Π²ΠΎ фрустрированном гСйзСнбСрговском Ρ„Π΅Ρ€Ρ€ΠΎΠΌΠ°Π³Π½Π΅Ρ‚ΠΈΠΊΠ΅

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    The algorithm of approximate solution has been developed for the differential equation describing the anharmonical change of the spin orientation angle in the model of ferromagnet with the exchange compe- tition between nearest and next nearest magnetic neighbors and the easy axis exchange anisotropy. The obvious dependence of the angle velocity from angle and initial condition has been derived by expanding the first integral of the equation in the Taylor series in vicinity of initial conditionΠ Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌ ΠΏΡ€ΠΈΠ±Π»ΠΈΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ Π΄ΠΈΡ„Ρ„Π΅Ρ€Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½ΠΎΠ³ΠΎ уравнСния, ΠΎΠΏΠΈΡΡ‹Π²Π°ΡŽΡ‰Π΅Π³ΠΎ Π°Π½- гармоничСскоС ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΡƒΠ³Π»Π° ΠΎΡ€ΠΈΠ΅Π½Ρ‚Π°Ρ†ΠΈΠΈ спина Π² ΠΌΠΎΠ΄Π΅Π»ΠΈ лСгкоосного Ρ„Π΅Ρ€Ρ€ΠΎΠΌΠ°Π³Π½Π΅Ρ‚ΠΈΠΊΠ° с ΠΊΠΎΠ½ΠΊΡƒ- Ρ€Π΅Π½Ρ†ΠΈΠ΅ΠΉ ΠΎΠ±ΠΌΠ΅Π½ΠΎΠ² ΠΌΠ΅ΠΆΠ΄Ρƒ блиТайшими ΠΈ ΡΠ»Π΅Π΄ΡƒΡŽΡ‰ΠΈΠΌΠΈ Π·Π° блиТайшими ΠΌΠ°Π³Π½ΠΈΡ‚Π½Ρ‹ΠΌΠΈ сосСдями. Явная Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡ‚ΡŒ ΡƒΠ³Π»ΠΎΠ²ΠΎΠΉ скорости ΠΎΡ‚ ΡƒΠ³Π»Π° ΠΈ Π½Π°Ρ‡Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ условия ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Π° ΠΏΡƒΡ‚Π΅ΠΌ разлоТСния ΠΏΠ΅Ρ€Π²ΠΎΠ³ΠΎ ΠΈΠ½Ρ‚Π΅Π³Ρ€Π°Π»Π° уравнСния Π² ряд Π’Π΅ΠΉΠ»ΠΎΡ€Π° Π² окрСстности Π½Π°Ρ‡Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ услови

    ΠšΠΎΠ½Ρ‚ΠΈΠ½ΡƒΠ°Π»ΡŒΠ½ΠΎΠ΅ ΠΏΡ€ΠΈΠ±Π»ΠΈΠΆΠ΅Π½ΠΈΠ΅ Π² Ρ‚Π΅ΠΎΡ€ΠΈΠΈ срСднСго поля нСсоизмСримых ΠΌΠ°Π³Π½ΠΈΡ‚Π½Ρ‹Ρ… состояний Π²ΠΎ фрустрированном гСйзСнбСрговском Ρ„Π΅Ρ€Ρ€ΠΎΠΌΠ°Π³Π½Π΅Ρ‚ΠΈΠΊΠ΅

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    The algorithm of approximate solution has been developed for the differential equation describing the anharmonical change of the spin orientation angle in the model of ferromagnet with the exchange compe- tition between nearest and next nearest magnetic neighbors and the easy axis exchange anisotropy. The obvious dependence of the angle velocity from angle and initial condition has been derived by expanding the first integral of the equation in the Taylor series in vicinity of initial conditionΠ Π°Π·Ρ€Π°Π±ΠΎΡ‚Π°Π½ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌ ΠΏΡ€ΠΈΠ±Π»ΠΈΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ Π΄ΠΈΡ„Ρ„Π΅Ρ€Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½ΠΎΠ³ΠΎ уравнСния, ΠΎΠΏΠΈΡΡ‹Π²Π°ΡŽΡ‰Π΅Π³ΠΎ Π°Π½- гармоничСскоС ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΡƒΠ³Π»Π° ΠΎΡ€ΠΈΠ΅Π½Ρ‚Π°Ρ†ΠΈΠΈ спина Π² ΠΌΠΎΠ΄Π΅Π»ΠΈ лСгкоосного Ρ„Π΅Ρ€Ρ€ΠΎΠΌΠ°Π³Π½Π΅Ρ‚ΠΈΠΊΠ° с ΠΊΠΎΠ½ΠΊΡƒ- Ρ€Π΅Π½Ρ†ΠΈΠ΅ΠΉ ΠΎΠ±ΠΌΠ΅Π½ΠΎΠ² ΠΌΠ΅ΠΆΠ΄Ρƒ блиТайшими ΠΈ ΡΠ»Π΅Π΄ΡƒΡŽΡ‰ΠΈΠΌΠΈ Π·Π° блиТайшими ΠΌΠ°Π³Π½ΠΈΡ‚Π½Ρ‹ΠΌΠΈ сосСдями. Явная Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡ‚ΡŒ ΡƒΠ³Π»ΠΎΠ²ΠΎΠΉ скорости ΠΎΡ‚ ΡƒΠ³Π»Π° ΠΈ Π½Π°Ρ‡Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ условия ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Π° ΠΏΡƒΡ‚Π΅ΠΌ разлоТСния ΠΏΠ΅Ρ€Π²ΠΎΠ³ΠΎ ΠΈΠ½Ρ‚Π΅Π³Ρ€Π°Π»Π° уравнСния Π² ряд Π’Π΅ΠΉΠ»ΠΎΡ€Π° Π² окрСстности Π½Π°Ρ‡Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ услови
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