Synthesis and study liquid crystalline properties of novel Benzimidazol-8-hydroxyquinoline complexes by reaction of a-Chloro acetic acid with 3,3'-dimethylbiphenyl-4,4'-diamine in 10% aqueous sodium hydroxide to synthesized compound [I] then the later compound reacted with o-phenylenediamine in 4N Hydrochloric acid to synthesized compound N4,N4'-bis((1H-benzo[d]imidazol-2-yl)methyl)-3,3'-dimethyl-[1,1'-biphenyl]-4,4'-diamine =[II] . While the complexes [III],[IV],[V],[VI] and [VII] synthesized from reacted compound [II] , 8-hydroxyquinoline with metal(II) salts { M= Mn(II), Fe(II), Ni (II), Cu(II),and Zn(II)}. Newly synthesized compounds were characterized using melting points, FT-IR, UV-Vis spectra, and some of them 1H NMR spectroscopy. magnetic susceptibility measurements (μeff ( and conduct metric measurements. The liquid crystalline properties were studied by hot stage polarizing microscopy and differential scanning calorimetry DSC. The compounds [I],[II],[III] and [IV] showed liquid crystal behavior , while the others compounds [V] ,[VI] and [VII] did not show any mesomorphic phase . Spectral investigations suggested octahedral coordination geometrical arrangement for M (II) complexes.
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The optical absorption data of Hydrogenated Amorphous Silicon was analyzed using a Dunstan model of optical absorption in amorphous semiconductors. This model introduces disorder into the band-band absorption through a linear exponential distribution of local energy gaps, and it accounts for both the Urbach and Tauc regions of the optical absorption edge.Compared to other models of similar bases, such as the O’Leary and Guerra models, it is simpler to understand mathematically and has a physical meaning. The optical absorption data of Jackson et al and Maurer et al were successfully interpreted using Dunstan’s model. Useful physical parameters are extracted especially the band to the band energy gap , which is the energy gap in the a
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Acquisition provisions in Islamic jurisprudence
This review article concentrates the light about aetiology and treatment of the periimplantitis.
In this paper, we introduce an exponential of an operator defined on a Hilbert space H, and we study its properties and find some of properties of T inherited to exponential operator, so we study the spectrum of exponential operator e^T according to the operator T.
This paper proposes a new method to tune a fractional order PID controller. This method utilizes both the analytic and numeric approach to determine the controller parameters. The control design specifications that must be achieved by the control system are gain crossover frequency, phase margin, and peak magnitude at the resonant frequency, where the latter is a new design specification suggested by this paper. These specifications results in three equations in five unknown variables. Assuming that certain relations exist between two variables and discretizing one of them, a performance index can be evaluated and the optimal controller parameters that minimize this performance index are selected. As a case study, a thir
... Show MoreThis paper proposes a new method to tune a fractional order PID controller. This method utilizes both the analytic and numeric approach to determine the controller parameters. The control design specifications that must be achieved by the control system are gain crossover frequency, phase margin, and peak magnitude at the resonant frequency, where the latter is a new design specification suggested by this paper. These specifications results in three equations in five unknown variables. Assuming that certain relations exist between two variables and discretizing one of them, a performance index can be evaluated and the optimal controller parameters that minimize this performance index are selected. As a case study, a third order linear time
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