Indian Journal of Pure and Applied Physics

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VOLUME 47

NUMBER 8

AUGUST 2009

CODEN:IJOPAU 47(8) 543-612

 

ISSN:0019-5596

 

CONTENTS

 

General

 

 

Exact solution of relativistic Schrödinger equation for the central complex potential V(r) = iar + (b/r)

547

        V K Srivastava* & (Late) S K Bose

 

 

 

Atomic and Molecular Physics

 

 

ESR, infrared and optical absorption studies of Cu2+ ion doped in 60B2O3-10TeO2-(30-x)MO-xPbO (M = Zn, Cd) glasses

551

        G Upender, V Kamalaker, C P Vardhani & V Chandra Mouli*

 

 

Computational studies on the structure and vibrational spectra of 2-hydroxy-5-methyl-3-nitropyridine

557

        Hari Ji Singh* & Priyanka Srivastava

 

 

Vibrational spectra and normal coordinate analysis of diethyl carbamazine

563

        S Gunasekaran * & B Anita

 

 

Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Dynamics

 

 

Shear viscosity of dense fluid

568

        Rajat Srivastava, Ashutosh Tewari & K N Khanna *

 

 

Analysis of sound ray theory and FEM for ultrasonic propagation in a finite rod

572

        Youxing Chen, Zhaoba Wang, Jianli Zheng*, Xia Zhao & Yuan Li

 

 

Density, viscosity and speed of sound of binary liquid mixtures of sulpholane with aliphatic amines at T =308.15 K

576

        P Murali Krishna, B Ranjith Kumar, B Sathyanarayana, K Amara Jyothi & N Satyanarayana *

 

 

 

Pair correction function for square-well fluids

582

        Ashutosh Tiwari & K N Khanna *

 

 

Condensed Matter: Structural, Mechanical and Thermal Properties

 

 

Effect of grinding on the crystal structure of recently excavated dolomite

586

        V Ramasamy*, V Ponnusamy, S Sabari, S R Anishia & S S Gomathi

 

 

Temperature dependent study of volume and thermal expansivity of solids based on equation of state

592

        Kamal Kapoor* & Narsingh Dass

 

 

 

Interdisciplinary Physics and Related Areas of Science and Technology

 

 

Economical and thermal optimization of possible options to control visible plume from wet cooling towers

597

        S K Tyagi*, S R Parka, V V Tyagi & S Anand

 

 

Authors for correspondence are indicated by (*)

 

 

 

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 547-550

 

 

Exact solution of relativistic Schrödinger equation for the central
complex potential V(r) = iar + (b/r)

 

V K Srivastava & (Late) S K Bose

Department of Physics, DDU Gorakhpur University, Gorakhpur 273 009

E-mail: vijai_gkp71@yahoo.in

Received 8 August 2008; revised 29 April 2009; accepted 2 June 2009

A set of exact solutions of the relativistic Schrödinger equation for the central complex potential V(r) = iar + (b/r), where a and b are parameters of the given potential, is obtained by using a suitable ansatz. The exact solution of such equation is found to be relevant in particle physics as well as in nuclear physics. The energy eigenvalue and corresponding eigenfunction are obtained for each solution. These solutions are valid, in general, when the interrelation between the parameters of the potential (a and b) and the orbital angular momentum quantum number l must be satisfied. These solutions, besides having an aesthetic appeal can be used as bench mark to test the accuracy and reliability of non-perturbative methods, which sometimes yield wrong results of solving the Schrödinger equation.

Keywords : Schrödinger equation, Exact solution, Complex potential

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 551-556

 

 

ESR, infrared and optical absorption studies of Cu2+ ion doped in
60B2O3-10TeO2-(30-x)MO-xPbO (M = Zn, Cd) glasses

 

G Upender, V Kamalaker, C P Vardhani & V Chandra Mouli*

Glassy Materials Research Laboratory, Department of Physics, Osmania University, Hyderabad 500 007

*E-mail: vorucm90@yahoo.com

Received 7 April 2008; revised 22 May 2009; accepted 19 June 2009

ESR, IR and optical absorption studies on 60B2O3-10TeO2-(30-x)MO-xPbO (where M=Zn, Cd) glasses containing Cu2+ spin probe have been carried out. The IR results prove the distribution of trigonal bipyramids (TeO3) which determines the network and the distribution of borate triangles (BO3) and borate tetrahedral (BO4) groups. Structural changes take place with variation of PbO content in BTZP and BTCP series. ESR results show that the g|| > g^ indicating that the Cu2+ ion is in tetragonal distorted octahedral site and its ground state is . There are considerable changes in g||, g^ and A|| values with the increasing concentration of PbO in both BTZP and BTCP glass systems. The optical absorption spectra results show that the absorption peak of Cu2+ is a function of composition. The observed optical absorption peak of Cu2+ has been found to be maximum at 813 nm for x=30 mol% of PbO content. Bonding parameters are calculated from both optical and ESR data. All these variations clearly indicate the structural changes in the present glass systems with varying PbO content.

Keywords: IR, ESR, Optical absorption spectra, Glasses, Cu2+ spin probe

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 557-562

 

 

Computational studies on the structure and vibrational spectra of
2-hydroxy-5-methyl-3-nitropyridine

 

Hari Ji Singh* & Priyanka Srivastava

Department of Chemistry, DDU Gorakhpur University, Gorakhpur 273 009

*E-mail: hari_singh81@hotmail.com

Received 21 July 2008; revised 13 January 2009; accepted 7 May 2009

The molecular structure and vibrational spectra of 2-hydroxy-5-methyl-3-nitropyridine have been investigated by Hartree-Fock and Density Functional Theory (DFT) using standard B3LYP functional and 6-311G(d) and 6-311G(3d,2p) basis sets. The results of the calculations are applied to simulate infrared spectra of the title compound which showed good agreement with the experimentally determined data. It has been found that both methods yield consistent data for the geometric parameters but DFT with a basis set of 6-311G(3d,2p) yielded vibrational frequencies much closer to the experimental data. Computed values at DFT(B3LYP)/6-311G(3d,2p) have been analyzed and their characterization was made with the help of Gaussview visualization program utilizing the data obtained from the Gaussian 03 calculation. A few of the discrepancies observed between the experimental and computed data of vibrational frequencies and their assignments have also been discussed.

Keywords: Vibrational analysis, Normal mode frequencies, 2-hydroxy-5-methyl-3-nitropyridine, Infrared spectra

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 563-567

 

 

Vibrational spectra and normal coordinate analysis of diethyl carbamazine

 

S Gunasekaran & B Anita

Spectrophysics Research Laboratory, Pachaiyappa’s College, Chennai 600 030

E-mail : anitabharathan@yahoo.com

Received 3 December 2008; revised 2 April 2009; accepted 3 July 2009

A normal coordinate analysis has been carried out for diethyl carbamazine using the vibrational frequencies observed in the FTIR and FTRaman spectra. An orthonormal set of symmetry coordinates has been constructed and Wilson’s F-G matrix method has been used for normal coordinate analysis. A satisfactory vibrational band assignment has been made for the molecule in terms of normal modes of vibration using FTIR and FTRaman spectroscopy. A reasonable set of potential constants evaluated for the molecule is found to be in good agreement with the previous studies, thereby confirming the vibrational assignments. Further, to check whether the chosen set of vibrational frequencies contributes maximum to the potential energy associated with the normal coordinates of the molecule, potential energy distribution has been calculated.

Keywords: Diethyl carbamazine, Fourier transform infrared and Raman spectra, Normal coordinate analysis, Potential energy distribution

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 568-571

 

 

Shear viscosity of dense fluid

 

Rajat Srivastava, Ashutosh Tewari & K N Khanna*

Department of Physics, VSSD College, Kanpur, *93 MIG Indira Nagar, Kanpur

E- mail: knkhanna@rediffmail.com

Received 8 December 2008; revised 8 April 2009; accepted 4 June 2009

Formula for the shear viscosity of square well fluids has been proposed through the modified pair correlation function in hard sphere system. The results are compared with the expression derived by Nigra and Evans [J Chem Phys, 122 (2005) 244508] for square well potential and with those derived from the diffusion coefficient of L-J potential by employing Stokes-Einstein relation. The numerical results of the scaling laws relating with the shear viscosity are also compared with the theoretical results.

Keywords: Shear viscosity, Scaling law, Stokes-Einstein relation

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 572-575

 

 

Analysis of sound ray theory and FEM for ultrasonic propagation in a finite rod

 

Youxing Chen, Zhaoba Wang, Jianli Zheng*, Xia Zhao & Yuan Li

National Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan, China

*Shanxi Beifang Xing'an Chemical Industrial Co., Ltd., Taiyuan, China

*E-mail: chenyouxing@nuc.edu.cn

Received 30 March 2009; accepted 9 June 2009

The presence of echo presented with ultrasonic propagation in a finite metal rod, the sound ray theory is used to analyse the wave mode conversion of ultrasonic propagation in a finite rod and the impact on echo by it, and the conclusion is drawn that the intervals of the echoes are decided by the rod’s diameter and wave velocity. The process of ultrasonic propagation through a rod and the final ultrasonic echoes are analyzed by the FEM. In the practical application, based on the results of the FEM simulation for ultrasonic propagation in rods and the selectivity of the material and dimension, the characteristic echo and following echoes are identified at time domain, aiming to extract characteristic echo from the ultrasonic signal.

Keywords: FEM, Ultrasonic propagation, Wave mode conversion, High temperature testing

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 576-581

 

 

Density, viscosity and speed of sound of binary liquid mixtures of sulpholane
with aliphatic amines at T =308.15 K

 

P Murali Krishna, B Ranjith Kumar, B Sathyanarayana, K Amara Jyothi & N Satyanarayana*

Department of Chemistry, Kakatiya University, Warangal 506 009

*E-mail: nallani_s@yahoo.com

Received 8 December 2008; revised 27 May 2009; accepted 3 July 2009

Experimental data on density, viscosity and speed of sound have been studied for the binary mixtures of sulpholane with diethylamine, n-propylamine, n-butylamine and tert-butylamine at 308.15 K. Excess molar volume, deviations in viscosity and isentropic compressibility have been computed from this data. The computed quantities have been fitted to the Redlich-Kister equation to derive the binary coefficients and to estimate the standard deviations. All mixtures show negative deviations for excess molar volume, deviations in viscosity and isentropic compressibility. The results have been interpreted on the basis of intermolecular interactions between unlike molecules.

Keywords: Excess volumes, Viscosity, Isentropic compressibility, Binary mixtures, Sulpholane, Aliphatic amines

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 582-585

 

 

Pair correction function for square-well fluids

 

Ashutosh Tiwari & K N Khanna*

Department of Physics, VSSD College, Kanpur

*E-mail: knkhanna@rediffmail.com

Received 24 September 2008; revised 9 March 2009; accepted 1 June 2009

The analytical forms of the modified pair correlation function at contact for square-well fluids have been proposed. These expressions can be employed to determine thermodynamical properties of square-well fluids and are simple, easily computable and accurate over wide range of densities.

Keywords: Modified pair correlation function, Square-well fluid, Thermodynamical properties

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 586-591

 

 

Effect of grinding on the crystal structure of recently excavated dolomite

 

V Ramasamy*, V Ponnusamy, S Sabari, S R Anishia & S S Gomathi

Department of Physics, Annamalai University, Annamalai Nagar, Tamilnadu 608 002

E-mail: srsaranram@rediffmail.com

Received 11 November 2008; revised 6 May 2009; accepted 3 July 2009

Transmission FTIR technique was used to identify the minerals in recently excavated dolomites and study the structural changes of dolomite upon grinding at various grinding periods. KBr pressed disk technique was found to be very useful for a routine characterization of minerals, for examination of structural modification of dolomite and formation of new minerals during grinding. These minerals and processes were also determined using XRD and SEM analysis. The minerals which were formed upon grinding dolomite, were aragonite, anorthite, metakaolinite and periclase.

Keywords: FTIR, Dolomite, XRD, SEM

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 592-596

 

 

Temperature dependent study of volume and thermal expansivity of
solids based on equation of state

 

Kamal Kapoor & Narsingh Dass

Physics Department, College of Engineering Roorkee, Vardhamanp Puram, Roorkee 247 667

Email: kmlsrk@rediffmail.com

Received, 27 October 2008; revised 6 March 2009; accepted 1 June 2009

  Five different approaches have been used to obtain simple relations to study the temperature dependent volume and thermal expansivity of the solids. All the relations are found to be identical. The computation has been done on six geological solids and three metals with the help of these relations. All the relations are quite successful in representing the volume and the thermal expansivity as a function of temperature. However, the relation obtained with the help of Tait EOS (Equation of State) is found to be better.

Keyword: Thermal expansivity, Equation of state, Thermodynamical properties

 

 

Indian Journal of Pure & Applied Physics

Vol. 47, August 2009, pp. 597-608

 

 

Economical and thermal optimization of possible options to control
visible plume from wet cooling towers

 

S K Tyagia,b, S R Parka, V V Tyagic & S Anandb

aGeothermal Energy Research Centre, Korea Institute of Energy Research PO Box 103,
Yuseong-gu, Daejeon 305-343, South Korea

bSchool of Infrastructure Technology and Resource Management, Shri Mata Vaishno Devi University, Katra 182 320

cSolar Energy Centre, Ministry of New and Renewable Energy (MNRE) Gwal Pahari, Gurgaon 122 002

E-mail: sudhirtyagi@yahoo.com

Received, 18 November 2008; revised 20 April 2009; accepted 5 June 2009

Economic study has been done for the heat pumps, biogas and solar collectors along with the phase change materials (PCM) storage and the results have been compared for various costs. The different combinations and options for the heating and cooling requirements, the heating capacities and the comparisons of different costs are studied in detail. It has been found that all the costs are much lesser for a solar collector system followed by the biogas plant and the heat pump systems. On the other hand, all the costs are found to be the highest in the case of an air cooled geothermal heat pump system, while it is reverse in case of the water cooled solar collector system.

Keywords: Phase change materials, Solar collector, Biogas, Heat pump, Water cooled chiller, Air cooled chiller, Visible plume, Commercial building, Wet cooling towers