Indian
Journal of Pure and Applied Physics
http://www.niscair.res.in; http://nopr.niscair.res.in
VOLUME 47 
NUMBER 8 
AUGUST 2009 
CODEN:IJOPAU 47(8) 543612 

ISSN:00195596 
CONTENTS
General 

Exact solution of relativistic Schrödinger
equation for the central complex potential V(r) = iar + (b/r) 
547 




Atomic and Molecular
Physics 

ESR, infrared and optical absorption studies of Cu^{2+}
ion doped in 60B_{2}O_{3}10TeO_{2}(30x)MOxPbO (M = Zn, Cd) glasses 
551 
G Upender, V Kamalaker, C P Vardhani
& V Chandra Mouli*


Computational studies on
the structure and vibrational spectra of 2hydroxy5methyl3nitropyridine 
557 
Hari Ji Singh* &
Priyanka Srivastava


Vibrational spectra and
normal coordinate analysis of diethyl carbamazine 
563 


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

Shear viscosity of dense
fluid 
568 
Rajat Srivastava, Ashutosh Tewari & K


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 &




Pair correction function
for squarewell fluids 
582 
Ashutosh Tiwari & K


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


Temperature dependent study of volume and thermal
expansivity of solids based on equation of state 
592 




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 

Authors for correspondence are indicated by (*)
Indian
Journal of Pure & Applied Physics
Vol.
47, August 2009, pp. 547550
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,
Email: 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 nonperturbative 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.
551556
ESR, infrared and optical absorption studies of Cu^{2+}
ion doped in
60B_{2}O_{3}10TeO_{2}(30x)MOxPbO (M = Zn, Cd)
glasses
G Upender, V Kamalaker, C P Vardhani & V Chandra Mouli*
Glassy Materials Research Laboratory, Department of Physics,
^{*}Email: vorucm90@yahoo.com
Received 7 April 2008; revised 22 May 2009; accepted 19 June 2009
ESR, IR and optical
absorption studies on 60B_{2}O_{3}10TeO_{2}(30x)MOxPbO
(where M=Zn, Cd) glasses containing Cu^{2+} spin probe have been
carried out. The IR results prove the distribution of trigonal bipyramids (TeO_{3})
which determines the network and the distribution of borate triangles (BO_{3})
and borate tetrahedral (BO_{4}) 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 Cu^{2+} 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
Keywords: IR, ESR, Optical absorption spectra, Glasses, Cu^{2+}
spin probe
Indian
Journal of Pure & Applied Physics
Vol. 47, August 2009, pp.
557562
Computational studies on the structure and vibrational spectra of
2hydroxy5methyl3nitropyridine
Hari Ji Singh* & Priyanka Srivastava
Department of Chemistry,
*Email: hari_singh81@hotmail.com
Received 21 July 2008; revised 13 January 2009; accepted 7 May 2009
The molecular structure and vibrational spectra of 2hydroxy5methyl3nitropyridine have been investigated by HartreeFock and Density Functional Theory (DFT) using standard B3LYP functional and 6311G(d) and 6311G(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 6311G(3d,2p) yielded vibrational frequencies much closer to the experimental data. Computed values at DFT(B3LYP)/6311G(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,
Indian
Journal of Pure & Applied Physics
Vol. 47, August 2009, pp.
563567
Vibrational spectra and normal coordinate analysis of diethyl carbamazine
Spectrophysics Research Laboratory, Pachaiyappa’s College, Chennai 600 030
Email : 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
Keywords: Diethyl carbamazine, Fourier transform infrared
and Raman spectra,
Indian
Journal of Pure & Applied Physics
Vol. 47, August 2009, pp.
568571
Shear viscosity of dense fluid
Rajat Srivastava, Ashutosh Tewari & K
Department of Physics,
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 LJ potential by employing StokesEinstein 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, StokesEinstein relation
Indian
Journal of Pure & Applied Physics
Vol. 47, August 2009, pp.
572575
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
*Shanxi
Beifang Xing'an Chemical Industrial Co., Ltd.,
*Email: 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.
576581
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 &
Department of Chemistry,
*Email: 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, npropylamine, nbutylamine and tertbutylamine 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 RedlichKister 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.
582585
Pair correction function for squarewell fluids
Ashutosh Tiwari & K
Department of Physics,
*Email: 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 squarewell fluids have been proposed. These expressions can be employed to determine thermodynamical properties of squarewell fluids and are simple, easily computable and accurate over wide range of densities.
Keywords: Modified
pair correlation function, Squarewell fluid, Thermodynamical properties
Indian
Journal of Pure & Applied Physics
Vol. 47, August 2009, pp.
586591
Effect of grinding on the crystal structure of recently excavated dolomite
V Ramasamy*, V Ponnusamy, S Sabari, S R Anishia & S
Department of Physics,
Email:
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.
592596
Temperature dependent study of volume and thermal expansivity of
solids based on equation of state
Kamal Kapoor & Narsingh Dass ^{}
Physics Department,
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.
597608
Economical and thermal optimization of possible options to control
visible plume from wet cooling towers
S K Tyagi^{a,b}, S R Park^{a}, V V Tyagi^{c}
&
^{a}Geothermal Energy Research Centre, Korea Institute
of Energy Research
Yuseonggu, Daejeon 305343,
^{b}School of Infrastructure Technology and Resource
Management,
^{c}Solar Energy Centre, Ministry of New and Renewable
Energy (MNRE) Gwal Pahari, Gurgaon 122 002
Email: 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