ABSTRACTS OF VOLUME 2 :
Journal of the Nigerian Association of Mathematical Physics (1998)
ISBN: 1116-4336
by A. Nduka, Federal University of Technology, Owerri, Nigeria.
by Oluwole Odundun and Adekunle Adegoke, Department of Physics, Obafemi Awolowo University, Ile-Ife, Nigeria.
by G. O. Obodi and J. A. Olofinsao, Department of Mathematical Sciences, Ondo State University, Ado Ekiti, Nigeria.
by J. I. Mbegbu Department of Mathematics and Computer Science, University of Benin, Benin City, Nigeria.
by S. E. Uwamusi and F.O. Otunta Department Of Mathematics, Faculty Of Science. University Of Benin, Benin City. Nigeria.
by Okeke E.O Department of Mathematics, University of Benin Benin City, Nigeria
and Asor V.E. The Shell Development Company of Nigeria Ltd. Warri,Nigeria
by Asor V.E. The Shell Development Company of Nigeria Ltd. Warri,Nigeria
and Okeke E.O. Department of Mathematics, University of Benin Benin City, Nigeria
by Stephen Ehidiahen Uwamusi Department of Mathematics, Faculty of Science, University of Benin, Benin City, Nigeria
by Francis O.OtuntaDepartment of Mathematics and Computer Science,University of Benin, Benin City, Nigeria
by R. O. Ayeni Department of Pure and Applied Mathemtics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria.
by Emmanuel O.
OghreDepartment of Mathematics and Computer Science University Of Benin, Benin
City Nigeria
and E. A. Akinrelere Department of Mathematics, Obafemi Awolowo University,
Ile-Ife, Nigeria.
by A. O. Ologunleko and A. S. Adekola Department Of Physics Federal University Of The Technology, Akure, Nigeria
by A. A. L Maduekwe and A.P. Okpoko Building Physics Unit, Building Research Department, NBRRI Km 10, Ota-Idiroko, Ota, Ogun State, Nigeria
by M. B. Asokhia, Department of Physics, Edo State University, Ekpoma, Nigeria.
by M. B. Asokhia Department of Physics, Edo State University. Ekpoma, Nigeria
by J. C. Egbai and M. B. Asokhia Department of Physics, Edo State University, Ekpoma, Nigeria.
by Akin Ojo, Department of Physics, University of Ibadan, Ibadan, Nigeria.
by Ibiyinka A. Fuwape Department Of Physics Federal University of Technology Akure, Nigeria.
by Ibiyinka A. Fuwape and Oluyomi Akinyemi, Department of Physics Federal University of Technology, Akure, Nigeria
by J. O. Fiase, Department of Physics, Benue State University, Makurdi, Nigeria.
by Awele Maduemezia,
Department of Physics, University of Ibadan, Ibadan, Nigeria.
and Ademola Obawole, Department of Physics, University Agriculture, Abeokuta.
Nigeria
4f
(
FH)5d Optical Transitions Of Sm
Ions in Potassium and Rubidium Halides by *I. M Mejeha
Department of Physics Federal University Of Technology, Owerri, Nigeria.
and M. J. A Smith Department of Physics University of Warwick Coventry CV4 7AL
United Kingdom *All correspondences to 1.M.M
4f
5d Electronic Transitions Of Yb ions in Rubidium Haide Crystals by *I. M .Mejeha
Department of Physics Federal University of Technology Owerri, Nigeria.
and M. J. A. Smith Department of Physics University of Warwick Coventry CV4 7AL
United Kingdom. * All correspondences To I. M. M
by E.O. Aiyohuyin Department of Physics, University of Benin, Benin-City, Nigeria
by E. Aghemenloh and J. O. A. Idiodi Department of Physics, University of Benin, Benin City
by J. O. A. Idiodi and E, Aghemenloh, Department of Physics, University of Benin, Benin City.
by A. O. E. Animalu, C. M. I Okoye and G. C. Asombe Department of Physics and Astronomy, University of Nigeria, Nsukka, Nigeria.
by J. S. Ononiwu, Department of Physics Federal University of Technology, Owerri, Imo State, Nigeria
by D. O. Nworgu and J. O. A. Idiodi Department of Physics, University of Benin, Benin City, Nigeria.
| 1) |
Is The General Theory Of Relativity A Physical Theory?
( page 1 – 5 of Vol 2 Namp Journals )
by A. Nduka, Federal University of Technology, Owerri, Nigeria.
Abstract
It has often been stated that the two great revolutions in physical thought
during this century derive from the almost simultaneous creation of the quantum
theory and the (classical) general theory of relativity, (GTR). In contrast
to the quantum theory, which has grown and flowered in abundance, the general
theory of relativity has remained static. A few examples, which justify a recent
claim that the general theory of relativity is not a physical theory in the
usual sense, are discussed
| 2) |
N = 1 Supersymmetry with a Tensor Boson
( page 6 – 14 of Vol 2 Namp Journals )
by Oluwole Odundun and Adekunle Adegoke
Department of Physics, Obafemi Awolowo University, Ile-Ife, Nigeria.
Abstract
The supersymmetry transformation for the members of the triplet 
.
Considering of an antisymmetric tensor
,
the pseudoscalar particle B(x) and the Majorana spinor 
are
constructed. The generators of these transformations are subsequently found.
| 3) |
New Group Symmetries of the Burger’s Equation:
( page 15 – 19 of Vol 2 Namp Journals )
byG. O. Obodi and J. A. Olofinsao
Department of Mathematical Sciences, Ondo State University, Ado Ekiti, Nigeria.
Abstract
Writing the Burger’s equation in a conserved form, we obtain a system
of partial differential equations. It is shown that this system admits new symmetries
in the sense of Bluman, et al.
| 4) |
On the Derivation of Explicit Runge-Kutta Methods by Matrix Approach
( page 20 – 35 of Vol 2 Namp Journals )
by J. I. Mbegbu
Department of Mathematics and Computer Science,
University of Benin, Benin City, Nigeria.
Abstract
This paper highlights the derivation of Explicit Runge-Kutta Method of order
by
matrix approach based on the order conditions proposed by Butcher (1964). The
matrix adopted is a square (m x m) matrix whose entries are the nodes, Ci’s
the set of Ci ‘s appearing in the mathematical expression for the determinant
of the matrix are termed the free-parameters. Each particular Explicit Runge-Kutta
method constructed is dependent on the choice of the values of these free-parameters,
Ci ‘s usually the values of these free-parameters lie in the inter value
(0,1). Any arbitrary choice of the values of these free-parameters in the aforementioned
interval leads to an Explicit Runge-Kutta method (Lambert, 1973)
| 5) |
A Switching From Hansen’s Method to Schultz-Herzberger’s Method for the Guaranteed Inclusion of Matrix Inversion
( page 35 – 47 of Vol 2 Namp Journals )
by S. E. Uwamusi and F.O. Otunta
Department Of Mathematics, Faculty Of Science.
University Of Benin, Benin City. Nigeria.
Abstract
We herein discuss a switching from Hansen’s method to Schultz Herzberger’s
method for the numerical inversion of a squared matrix in interval arithmetic.
This method enhances the approach earlier used by the authors [10]. The resultant
method leads to the popular Ostrowski’s identity method of order five
for the Schultz-Herzberger’s method.
The analysis of efficiency index of this method gave rise to optimization problem
in the set of integer,
(J is the set of integers).the interval of the best combined method
of this algorithm is also discussed. Numerical example is also given
Key words: matrix inversion, Hansen’s method, Shcultz-Herzberger’s method, and efficiency index.
Further On The Damping Of Low Frequency Seismic Waves
In a Semi-Infinite Elastic Medium
( page 48 – 55 of Vol 2 Namp Journals )
by Okeke E.O
Department of Mathematics, University of Benin,
Benin City, Nigeria
and Asor V.E.
The Shell Development Company of Nigeria Ltd.
Warri,Nigeria
Abstract
A damping term with coefficient 
is incorporated into the equations governing the evolution of Rayleigh waves
in a semi-infinite elastic medium. The geophysical interests in this approach
are examined.
In this consideration, it is shown that satisfies
a quartic equation. The condition that the four roots are real is derived and
verified. Therefrom, a model of an elastic medium which satisfies the Poisson’s
relation is considered and the dependence of the decay term for the complex
phase velocity C on
is generalized. Therefrom, a number of interesting results emerge and discussed.
The Comments On The Spectrum Of Micro-Seismic Frequencies
( page 56 – 61 of Vol 2 Namp Journals )
by Asor V.E. The Shell Development Company of Nigeria Ltd. Warri,Nigeria
and Okeke E.O.
Department of Mathematics, University of Benin,
Benin City, Nigeria
Abstract
The spectrum of frequencies associated with the motion of the seabed forced
by gravity sea wave is examined. The dependence of the peak frequency and energy
spectral height on the induced shear modulus is derived. Deduced from the inherent
variation of the shear modulus with the depth below the seabed, this model suggests
that the seismometer buried at a depth of 10m below the earth’s surface
is likely to record intense ground movements. Below this depth, further increase
will be modified by the exponential decay with the depth usually associated
with the wave amplitudes.
| 8) |
On a Nonlinear Differential Equation for the M(t)/D/1 Queueing System
( page 62 – 69 of Vol 2 Namp Journals )
by Stephen Ehidiahen Uwamusi
Department of Mathematics, Faculty of Science,
University of Benin, Benin City, Nigeria
Abstract
A simple queueing characterized by a time dependent distributed arrival rate
and a discrete service time distribution formulated as a nonlinear first order
differential equation in line with rider (7) is considered. Modified the inter-
arrival time distribution for the queue size using some techniques of trigonometric
sine wave. This enables us to have cyclic behaviour of expected queue size as
well as the probability that the server is idle. We realized our numerical solution
thereof using the well known approach of predictor-correction pairs evaluate
mode 
Our values obtained compare favorably with those of Rider;s M(t)/m(t)/1
| 9) |
A Control Operator for a Class of Regulator Problems
( page 70 – 88 of Vol 2 Namp Journals )
by Francis O.Otunta
Department of Mathematics and Computer Science,
University of Benin, Benin City, Nigeria.
Abstract
The continuous optimal control problem characterized by linear system integral
costs had been solved successfully via the Extended Conjugate Gradient Method
(ECGM). A control operator for this class of problems, which improves the overall
performance of the ECGM algorithm, is constructed herein. Three numerical examples
are reported in support of the conclusions of this paper.
Key words: control operator regulator problems, conjugate gradient, functional.
| 10) |
Variable Viscosity Reacting flows with conserved Energy
( page 89 – 94 of Vol 2 Namp Journals )
by R. O. Ayeni
Department of Pure and Applied Mathemtics,
Ladoke Akintola University of Technology, Ogbomoso, Nigeria.
Abstract
A premixed endothermic reacting viscous flow with conserved energy is presented.
Despite the integral constraint 
we
establish existence of solution via the method of upper and lower solutions.
| 11) |
One Dimensional Viscoelastic Model of Arterial Blood Flow
( page 95– 106 of Vol 2 Namp Journals )
by Emmanuel O. Oghre
Department of Mathematics and Computer Science,
University Of Benin, Benin City Nigeria
and
E. A. Akinrelere
Department of Mathematics,
Obafemi Awolowo University,
Ile-Ife, Nigeria.
Abstract
Theoretical and experimental evidences are available showing that the arterial
walls are viscoelastic. Hence we propose a model of blood flow in a viscoelastic
tube where the pressure depends on the strain and the time- rate of strain.
The hyperbolic nature of the constitutive equation was destroyed by this introduction
leading to a parabolic equation of the general Burger form. This viscoelasticity
introduces a retarding effect in the equations depicting interplay between the
non-linear steeping and the diffusion of a wave. Analytic solution of the vector
Burger equation for cylindrical coordinate system in three dimensions was obtained
| 12) |
On the Numerical Solution of the Laminar Boundary Layer Equation
( page 107– 120 of Vol 2 Namp Journals )
by A. O. Ologunleko and A. S. Adekola
Department Of Physics Federal University Of The Technology,
Akure, Nigeria
Abstract
In aerodynamics, and particularly problems relating to fluid flow, one of the
most important applications is the ‘Blasius’ equation. Hence, this
paper presents a numerical scheme for solving the Blasius equation for the laminar
boundary layer on a flat plate under a steady condition. Results are presented
in terms of some fluid properties such as, the dimensionless velocities, the
dimensionless shear stress and the rate of growth of the dimensionless shear
stress. Comparisons with some earlier studies showed that the present numerical
solution is more exact. Also, comparison of the dimensionless velocity profile
with experimental data showed a good agreement.
| 13) |
Comparison of the thermal responses of brick and concrete houses to outside air temperature and solar radiation in Kano: A case study of a NBRRI model house
( page 121– 134 of Vol 2 Namp Journals )
by A. A. L Maduekwe and A.P. Okpoko
Building Physics Unit, Building Research Department, NBRRI,
Km 10, Ota-Idiroko, Ota, Ogun State, Nigeria
Abstract
Models of the thermal response of a NBRRI model brick house and a similar house
built of concrete have been constructed using a periodic theory. Using Fourier
series the hourly temperatures of the inner wall surfaces were obtained as a
direct response to the variations of the outside air temperature and the solar
radiation incident at the location. The maximum temperatures for the inner wall
surfaces of the concrete house for the four wall directions were all higher
than those of the brick house. Temperature swings for October were between 8.5
and 11.1°C for the brick house while it was between 15.6 and 17.0°C
for the concrete house. In January it was between 7.7 and 9.7°C and between
14.0 and 15.2°C for the brick and concrete houses respectively. These results
show that the brick house would likely keep a more temperate climate within
than the concrete building.
| 14) |
Computation of impedance tensor elements from Magneto-Telluric Data.
( page 135 – 148 of Vol 2 Namp Journals )
by M. B. Asokhia
Department of Physics, Edo State University, Ekpoma, Nigeria.
Abstract
Magneto-telluric (MT) technique of geophysics exploration is relatively new.
Being less than; a half a century old. A vital parameter in MT survey is impedance.
Virtually all other parameters are functions of impedance. Cagniard, in the
first paper ever published on MT survey, in 1953, assumed that the earth is
one-dimensional so as to simplify interpretation of MT data. However, most structure
are either two or three- dimensional in practice. In this work, mathematical
methods of rotating impedance for the purpose of interpreting a nearly two-
dimensional earth by inverting the earth by a quasi- one dimensional technique
is presented. This method can also be used for interpreting a two-dimensional
structure by a quasi- two-dimensional method. The work was done along the “Blue
Road Traverse” in Sweden. Seven stations were covered. MT parameters were
computed as functions of the rotated tensor impedance. Mean coherence values,
skew factors and strike angles were calculated. Depths to highly conducting
layers were derived. Detailed results were tablulated and it was shown that
MT survey is a very effective method of mapping geological structures.
| 15) |
Modulation Of Infra-Red Laser Beam Using Gallium Arsenide Crystal
( page 149 – 162 of Vol 2 Namp Journals )
by M. B. Asokhia
Department of Physics, Edo State University. Ekpoma, Nigeria
Abstract
Recent developments in laser technology have aroused interest in problems of
modulation of optical beams of light. The high coherency of modulated laser
beams makes them technically applicable in a variety of ways. These include
the device f Avionic Head Up Display (HUD) to provide pilots with essential
flight information, cutting of metals, welding in medicine and in several others
ways. This work aims at investigating modulation characteristics of infrared
laser beam
using Gallium arsenide (GaAs) crystal as the modulator and liquid Helium-Neon
(He-Ne) as the active medium. The investigation includes (a) determination of
the half-wave voltage for the modulation, (b) determination of the frequency
characteristics for estimating the frequency range for piezo-electric effect
and (c) determination of amplitude characteristics for various applied currents
to the active medium. It was observed that the crystal behaved like a piezo-electric
crystal at the frequency range of about 450 to 1000khz. The half-wave voltage
of the crystal was about 2200 volts. The amplitude of the output signal increased
with increase in the current applied to the active medium. A close correlation
was found between theory and experimental results.
| 16) |
Correlation between Resistivity Survey and Well Logging in Delta State
( page 163 – 175 sof Vol 2 Namp Journals )
by J. C. Egbai and M. B. Asokhia
Department of Physics, Edo State University, Ekpoma, Nigeria.
Abstract
A total of twenty-one stations were recently investigated in parts of Delta
State using vertical electrical sounding (VES) for detailed studies of hydrological
setting in terms of static water level, lithology of the subsurface soil and
the thickness of layers. The linear filter method was used in the interpretation
of the resistively soundings. Some boreholes were logged so as to correlate
the surface resistively survey with well logging. There was a high degree of
correlation between driller’s logs and spontaneous potential (SP) logs.
These logs confirmed the result from surface resistively survey in the area
of research. Some useful recommendations are made on ways of avoiding unproductive
boreholes.
| 17) |
Integral invariant of Hamiltonian Systems revisited
( page 176 – 180 of Vol 2 Namp Journals )
by Akin Ojo
Department of Physics, University of Ibadan, Ibadan, Nigeria.
Abstract
In a bounded closed Hamiltonian system of n degrees of freedom with only one
constant of motion, one may cosider the nth momentum Pn as a ‘Hamiltonian’
K and the nth coordinate qn as ‘time’ 
.
Then it is the case that the Lagrangian M corresponding to K is such that the
associated action is an invariant. The place of this invariant, particularly
in chaotic system, is discussed.
| 18) |
Some Models of a Dynamical System
( page 181 – 194 of Vol 2 Namp Journals )
by Ibiyinka A. Fuwape
Department Of Physics Federal University of Technology
Akure, Nigeria.
Abstract
One-dimensional maps have been used as models for understanding the transition
to turbulence. We examine the transition to chaos through some intensive iterations
of some one-dimensional maps.
| 19) |
Dynamics of the Driven-Damped Pendulum
( page 195 – 197 of Vol 2 Namp Journals )
by Ibiyinka A. Fuwape and Oluyomi Akinyemi
Department of Physics Federal University of Technology,
Akure, Nigeria
Abstract
Dynamics of the sinusoidally driven damped pendulum has been studied. Extensive
numerical simulations of the driven damped pendulum are presented. The phase
diagram shows a limit cycle which is obviously one- dimensional for a fixed
damping and frequency.
| 20) |
A comparative analysis of the effective interactions obtained from perturbation and variation methods for the SD-Shell.
( page 198 – 216 of Vol 2 Namp Journals )
by J. O. Fiase
Department of Physics, Benue State University, Makurdi, Nigeria.
Abstract
Effective interactions for Sd-Shell model from variational methods are here
compared with those obtained from perturbation techniques. It is found that
except for the singlet-odd, triplet-odd and spin-orbit even channels, the matrix
elements obtained from the two techniques are extraordinary similar. This similarity
can be taken as a great strength of realistic potentials (i.e. consistent with
NN scattering) for these channels and one can confer on them a model independent
status as direct links to phase shifts. The non-similarity in the singlet-odd,
triplet-odd and spin-orbit even channels means that either realistic potentials
in these channels need further investigation or calculational procedures employed
need further investigation.
| 21) |
Anharmonic Oscilator Model of F-Center absorption in Alkali Halides
( page 217 – 224 of Vol 2 Namp Journals )
by Awele Maduemezia
Department of Physics, University of Ibadan, Ibadan, Nigeria.
and
Ademola Obawole
Department of Physics, University Agriculture,
Abeokuta. Nigeria
Abstract
By considering the crystal filed potential in which an F-center sits, it is
shown that the peak absorption energies of the 16 fcc alkali halides are accurately
obtained through a model of the F-center as a quartic are anharmonic oscillator
with Hamiltonian of the form 
in
appropriate units. It is also shown that the anharmonic oscillator model is
physically consistent with the fitting of the experimental F-center peaks E
by the curve: 
which in itself is quite an accurate fit (a is the nearest neighbour distance
in Bohr radii).
| 22) |
4f
4f
(FH)5d
Optical Transitions Of Sm
Ions in Potassium and Rubidium Halides
( page 225 – 239 of Vol 2 Namp Journals )
by *I. M Mejeha
Department of Physics Federal University Of Technology, Owerri, Nigeria.
and
M. J. A Smith
Department of Physics University of Warwick Coventry CV4 7AL United Kingdomm,
*All correspondences to 1.M.M
Abstract
The energy spectrum ascribable to the 4f
-
4f
(FH)5d
electronic transitions of Sm
ions is MX (M = k, Rb; X = Cl, Br, I) crystals have been calculated using the
Yanase-Kasuya coupling formalism. It was found that the predicted energy levels
of Sm
ions in these crystals are in good agreement with experimental energy levels
even when the orthorhombic distortion of the site symmetry of the impurity SM
ions in the crystals is ignored. For a given alkali metal series, an empirical
relationship Dq & d
p
was found where Dq is the strength of the splitting of the 5d electron states
by the crystal field, d is the lattice parameter of the crystal and rp
is a constant parameter. In addition, it was established that linear relationship
exists between d and 
Sm
the separation of the gravimetric center of the 4f(FH)5d
sub-configuration of the Sm
ions in the crystal, from their 4f
(
fo)
ground state.
| 23) |
4f
4f5d
Electronic Transitions Of Yb
ions in Rubidium Haide Crystals
( page 240 – 266 of Vol 2 Namp Journals )
by *I. M .Mejeha
Department of Physics Federal University of Technology
Owerri, Nigeria.
and
M. J. A. Smith
Department of Physics University of Warwick Coventry CV4 7AL United Kingdom.
* All correspondences To I. M. M
Abstract
The energy levels and relative transition of Yb
ions in RbCl, rbBr and Rbl crystals have been calculated using J1
j- coupled basis functions for the first excited 4f
3d configuration of the ions. Results show that the agreement between theoretical
and experimental spectra of Yb
ions in these crystals is particularly good in spite of the assumption that
the effective site symmetry of the substitutional Yb
ions is octahedral. Nevertheless, the Slater-Condon parameters Fk
and Gk as well as the spin- orbit parameters 
and
needed
to obtain the good agreement was found to be reduced from their free-ion values.
The depression of the center of gravity of the free-ion levels of the 4f
5d configuration of Yb
ions in the crystals follow a spectrochemcial sequence of ligands; namely C1-1
< Br <1. However the values of the crystal field parameter Dq (
) are found to follow the reverse sequence.
| 24) |
Anisotropy in Nuclear Relaxation rate of Copper
( page 267 – 270 of Vol 2 Namp Journals )
by E.O. Aiyohuyin
Department of Physics, University of Benin, Benin-City, Nigeria
Abstract
Yaba2, Cu3O7
have been studied in copper and oxygen nuclear-magnetic- resonance (NMR) experiments.
Using the random-phase-approximation model of Bullet et al (1990) and the phenomenological
model of Millis et al (1990), the spin-lattice relaxation rate for the copper
in YBa2 Cu3O7
is calculated and the anisotropy (
T1)11c/(T1)
is estimated to be 3.51. Correction of the hyperfine interaction used by Bullet
et. al (1990) is also reported.
| 25) |
Equivalent–Crystal Theory of FCC Metal Surfaces
( page 271– 284 of Vol 2 Namp Journals )
by E. Aghemenloh and J. O. A. Idiodi
Department of Physics, University of Benin, Benin City
Abstract
The equivalent-crystal theory (ECT) method of smith et al [PRB Vol. 44, 6444
(1991)] is employed to calculate the unrelaxed surface energies of 13 fcc metals.
This is an extension of the work of Smith et al, which reported surface energy
results for only 4 FCC metals.
| 26) |
On the Problem of Low Surface Energies within the embedded Atom Method
( page 285 – 296 of Vol 2 Namp Journals )
by J. O. A. Idiodi and E, Aghemenloh
Department of Physics, University of Benin, Benin City.
Abstract
This paper discusses the problem of low surface energies within the Embedded-Atom
Method. It suggests that the concept of an equivalent crystal, which has been
successfully implemented in the ECT method of Smith et al [PRB Vol 44, p. 6444
(19991)], be also implemented in the embedded-Atom method. The method of doing
this is discussed and then applied to calculate the (111) surface energies of
4 FCC metal – A1 Au, Pd and Pt.
| 27) |
Non-Local Theory of Cooper pairing in High-Tc Superconductors
( page 297 – 311 sof Vol 2 Namp Journals )
by A. O. E. Animalu, C. M. I Okoye and G. C. Asombe
Department of Physics and Astronomy, University of Nigeria, Nsukka, Nigeria.
Abstract
After several years of study of various tow b-band Hubbard and BCS–like
Hamiltonian models for High-Tc superconductivity, we have isolated a basic feature
of such models that is essential for the understanding of cooper paring in the
high-Tc materials: the pairing is due to the overlap of the paired up-spin electron
wave function
and down- spin election wave function 
characterized
by a self consistent pair of equations, H =
E 
and
HT
= E 
(in
Nambu representation), where 
The
pairing potential has the form of an Hulthen potential, 
between the pair of electrons, and the wave equation for the relative motion
of the electrons in the pair can be solved exactly for the cooper pair binding
energy which determines the superconducting transition temperature (Tc). The
various theoretical profiles that emerge from such a non-local theory of cooper
pairing are outlined and the experimental consequences are obvious.
| 28) |
Total Energies In Lithium Cluster
( page 312 – 324 of Vol 2 Namp Journals )
by J. S. Ononiwu
Department of Physics Federal University of Technology
Owerri, Imo State, Nigeria
Abstract
The total ground state energies of lithium clusters as function of the number
of atoms in a cluster are investigated using the jellium model of the local
spin density approximation (L.S.D.A) in the framework of the spin density functional
theory. Some properties of this cluster like the total energy per atom, the
building energy, the relative binding energy change and dissociation energy
are computed and found to be in trend with those of previously reported alkaline
metal clusters.
| 29) |
An EAM Study Of The Single- Atom Impurity Problem
( page 325 – 334 of Vol 2 Namp Journals )
by D. O. Nworgu and J. O. A. Idiodi
Department of Physics, University of Benin, Benin City, Nigeria.
Abstract
An analytic nearest-neighbour-embedded- atom method (EAM) previously developed
for monatomic FCC metals is here extended to study alloying. Values of the electron
density function, which allow a prediction of the experimental dilute-limit
heats of solution for4 all binary alloys of the FCC metals Cu, Ag, Au, Ni Pd
and Pt have been calculated and tabulated. The electron density function 
(r)
which results form this study does not support the assumption, often employed,
of a single exponentially decreasing function of r for the density. This is
illustrated clearly for Pd.
