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Bhāgalpur, India

Shahbaz Ullah M.,Tilka Manjhi Bhagalpur University | Hassan M.R.,Sm College
Astrophysics and Space Science | Year: 2014

In this manuscript we have established averaged equation of motion of the Sitnikov restricted three- body and four-body problem when all the primaries are point masses, by applying the Van der Pol transformation and averaging technique of J. Guckenheimer and P. Holmes (in Nonlinear Oscillations, Dynamical System Bifurcations of Vector Fields, Springer, Berlin, 1983). In addition to the resonance criterion at the 3/2 commensurability we have chosen ω=2n/3,n=4, ω is the angular velocity of the coordinate system. Further we established the Series solution of the three-body and four-body problem in the sense of Sitnikov. Lastly the periodicities of the solutions have been examined by the Poincare section and four-body and three-body problem have been compared by different comparative graphs and surfaces. © 2014 Springer Science+Business Media Dordrecht. Source


Prasad K.,Tilka Manjhi Bhagalpur University | Bhagat S.,Tilka Manjhi Bhagalpur University | Priyanka,Tilka Manjhi Bhagalpur University | Amarnath K.,Tilka Manjhi Bhagalpur University | And 2 more authors.
Physica B: Condensed Matter | Year: 2010

Lead-free perovskite BaY0.5Nb0.5O3 was prepared by conventional ceramic technique at 1375 °C/7 h in air atmosphere. The crystal symmetry, space group and unit cell dimensions were derived from the experimental results using FullProf software. XRD analysis of the compound indicated the formation of a single-phase cubic structure with the space group Pm3m. EDAX, X-ray mapping and SEM studies were carried to study the quality and purity of the compound. Complex impedance analyses suggested the dielectric relaxation to be of non-Debye type. To find a correlation between the response of the real system and idealized model circuit composed of discrete electrical components, the model fittings were presented using the impedance data. Electric modulus studies supported the hopping type of conduction in BaY 0.5Nb0.5O3. The correlated barrier hopping model was employed to successfully explain the mechanism of charge transport in BaY0.5Nb0.5O3. The ac conductivity data were used to evaluate the density of states at Fermi level, minimum hopping length and apparent activation energy of the compound. © 2010 Elsevier B.V. All rights reserved. Source


Prasad K.,Tilka Manjhi Bhagalpur University | Priyanka,Tilka Manjhi Bhagalpur University | Chandra K.P.,Sm College | Kulkarni A.R.,Indian Institute of Technology Bombay
Journal of Non-Crystalline Solids | Year: 2011

Lead-free perovskite Ba(In1/2Nb1/2)O3 was prepared by conventional ceramic fabrication technique at 1350 °C/5 h in air atmosphere. The crystal symmetry, space group and unit cell dimensions were determined from Rietveld analysis using FullProf software whereas crystallite size and lattice strain were estimated from Williamson-Hall approach. XRD analysis of the compound indicated the formation of a single-phase cubic structure with the space group Pm3m. EDAX and SEM studies were carried out in order to evaluate the quality and purity of the compound. Complex impedance as well as electric modulus analyses suggested the dielectric relaxation to be of non-Debye type. The correlated barrier hopping (CBH) model was employed to successfully explain the mechanism of charge transport in Ba(In 1/2Nb1/2)O3. © 2010 Elsevier B.V. All rights reserved. Source


Prasad K.,Tilka Manjhi Bhagalpur University | Amar Nath K.,Tilka Manjhi Bhagalpur University | Bhagat S.,Tilka Manjhi Bhagalpur University | Chandra K.P.,Sm College | Kulkarni A.R.,Indian Institute of Technology Bombay
Advances in Applied Ceramics | Year: 2010

Abstract Lead free perovskite Ba(La1/2Nb1/2)O 3 was prepared by conventional ceramic fabrication technique at 1375°C for 7 h in air atmosphere. The crystal symmetry, space group and unit cell dimensions were estimated using Rietveld analysis. X-ray diffraction analysis indicated the formation of a single phase monoclinic structure with space group P2/m. Energy dispersive X-ray analysis and scanning electron microscopy studies were carried to study the quality and purity of the compound. Permittivity data showed low temperature coefficient of capacitance (T CC = 11%) up to 100°C. The circuit model fittings were carried out using the impedance data to find the correlation between the response of real system and idealised model electrical circuit. Complex impedance analyses suggested the dielectric relaxation to be of non-Debye type. The correlated barrier hopping model was employed to successfully explain the mechanism of charge transport in Ba(La1/2Nb1/2)O3. The AC conductivity data were used to evaluate the density of states at Fermi level, minimum hopping length and apparent activation energy. © 2010 Institute of Materials, Minerals and Mining Published by Maney on behalf of the Institute. Source


Prasad K.,Tilka Manjhi Bhagalpur University | Chandra K.P.,Sm College | Bhagat S.,Tilka Manjhi Bhagalpur University | Choudhary S.N.,Tilka Manjhi Bhagalpur University | Kulkarni A.R.,Indian Institute of Technology Bombay
Journal of the American Ceramic Society | Year: 2010

Lead-free perovskite Ba(Al1/2Nb1/2)O3 was prepared by conventional ceramic fabrication technique at 1350°C/5 h in air atmosphere. The crystal symmetry, space group and unit cell dimensions were determined from the experimental results using FullProf software whereas crystallite size and lattice strain were estimated from Williamson-Hall approach. X-ray diffraction analysis of the compound indicated the formation of a single-phase monoclinic structure with the space group P2/m. EDAX and SEM studies were carried out in order to evaluate the quality and purity of the compound. Permittivity data showed low-temperature coefficient of capacitance (TCC=14%) up to 100°C. To find a correlation between the response of the real system and idealized model circuit composed of discrete electrical components, the model fittings were presented using the impedance data. Complex impedance analyses suggested the dielectric relaxation to be of non-Debye type. The correlated barrier-hopping model was used to successfully explain the mechanism of charge transport in Ba(Al1/2Nb1/2)O 3. © 2009 The American Ceramic Society. Source

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