THE EVOLUTION PROPERTIES OF EVEN–EVEN 100-110Pd NUCLEI

2012 ◽  
Vol 21 (12) ◽  
pp. 1250101 ◽  
Author(s):  
I. M. AHMED ◽  
HEWA Y. ABDULLAH ◽  
S. T. AHMAD ◽  
I. HOSSAIN ◽  
M. K. KASMIN ◽  
...  
Keyword(s):  
Rotational Energy ◽  
Moment Of Inertia ◽  
Experimental Results ◽  
Interacting Boson Model ◽  
Gamma Energy ◽  
Boson Model ◽  
The Moment

The properties of the yrast states for 100-110 Pd even–even (e–e) nuclei have been established. The relation between the moment of inertia 2ϑ/ℏ2 and the square of the rotational energy (ℏω)2 has been drawn to identify the back-bending that may occur at a certain state for each isotope. The relation between gamma-energy over spin Eγ/I as a function of spin I has been drawn to determine the evolution in each isotope ranging from vibration to rotational properties. The suitable limit in the interacting boson model IBM-1 has been used to calculate the yrast states for each isotope, which are then compared with the experimental results.

The moment of inertia in the interacting boson model

1986 ◽  
Vol 452 (1) ◽  
pp. 1-29 ◽  
Author(s):  
H. Schaaser ◽  
D.M. Brink
Keyword(s):  
Moment Of Inertia ◽  
Interacting Boson Model ◽  
Boson Model ◽  
The Moment

The Inertial Effect in Rotational Fluorescence Depolarization

1992 ◽  
Vol 47 (9) ◽  
pp. 971-973 ◽  
Author(s):  
A. Kawski ◽  
P. Bojarski ◽  
A. Kubicki
Keyword(s):  
Empirical Equation ◽  
Molecular Geometry ◽  
Moment Of Inertia ◽  
Experimental Results ◽  
Inertial Effect ◽  
Fluorescence Depolarization ◽  
Moments Of Inertia ◽  
Low Viscosity ◽  
The Moment ◽  
Semi Empirical

Abstract The influence of the moment of inertia on the rotational fluorescence depolarization is discussed. Based on experimental results obtained for five luminescent compounds: 2,5-diphenyloxazole (PPO), 2,2'-p-phenylene-bis(5-phenyloxazole) (POPOP), p-bis[2-(5-α-naphthyloxazolyl)]-benzene (α-NOPON), 4-dimethylamino-ω-methylsulphonyl-trans-styrene (3a) in n-parafines at low viscosity (from 0.22 x 10-3 Pa • s to 0.993 x 10-3 Pa • s) and diphenylenestilbene (DPS) in different solvents, a semi-empirical equation is proposed, yielding moments of inertia that are only two to five times higher than those estimated from the molecular geometry

On the moment of inertia in deformed Ba-Xe nuclei as deduced from gamma-gamma energy correlation experiments

1982 ◽  
Vol 378 (2) ◽  
pp. 364-374 ◽  
Author(s):  
Th. Lindblad ◽  
L. Hildingsson ◽  
D. Jerrestam ◽  
A. Källberg ◽  
A. Johnson ◽  
...  
Keyword(s):  
Moment Of Inertia ◽  
Energy Correlation ◽  
Gamma Energy ◽  
The Moment

Investigation of some even-even selenium isotopes within the interacting boson model-2

Open Physics ◽  
2008 ◽  
Vol 6 (3) ◽  
Author(s):  
Mahmut Böyükata ◽  
İhsan Uluer
Keyword(s):  
Transition Probabilities ◽  
Energy Levels ◽  
Mass Region ◽  
Experimental Results ◽  
Interacting Boson Model ◽  
Electromagnetic Transition ◽  
Boson Model ◽  
Selenium Isotopes ◽  
Good Agreement

AbstractThe even-even Selenium isotopes in the A∼80 mass region and the general features of its structure have been investigated within the framework of the interacting boson model-2. The neutron proton version of the model has been applied to the Se (A=74 to 80) isotopes with emphasis on the description of the 01+, 21+, 02+, 22+ and 41+ states. The energy levels, B(E2)and B(M1)electromagnetic transition probabilities were calculated. The results of these calculations were compared with previous experimental results and were shown to be in good agreement.

scholarly journals The properties of torsional vibrations in reciprocating engine shafts. —Part II

1926 ◽  
Vol 113 (764) ◽  
pp. 272-281 ◽  
Keyword(s):  
Moment Of Inertia ◽  
Experimental Results ◽  
Effective Length ◽  
Torsional Vibrations ◽  
Static Tests ◽  
Reciprocating Engine ◽  
The Mean ◽  
The Moment

In order to compare with the experimental results, the algebraic values of the results just obtained will be converted into numbers, using the dimensions adopted in the experiment. The shaft used was a steel rod ⅜-inch in diameter. From the contact of fly-wheel A to that of fly-wheel E was 78¾ inches, and from fly-wheel A to the crank (see fig. 1) was 81¼ inches. The mean of these, or 80 inches, was takenas the effective length. The modulus of rigidity, taken from static tests, was found to be 11.4 x 10 6 lbs. per square inch. The moment of inertia of fly-wheel A was about 15,000 lbs. (inches) 2 . The fly-wheel E was tested experimentally, and its moment of inertia found to be 194·2 lbs. (inches) 2 . The crank radius, a , was 2 inches.

Deformation properties of the even–even rare-earth Er–Os isotopes for N = 100

2018 ◽  
Vol 27 (05) ◽  
pp. 1850035 ◽  
Author(s):  
Mushtaq Abed Al-Jubbori ◽  
Huda H. Kassim ◽  
Fadhil I. Sharrad ◽  
I. Hossain
Keyword(s):  
Rare Earth ◽  
Ground State ◽  
Interacting Boson Model ◽  
Ground State Band ◽  
Gamma Energy ◽  
Os Isotopes ◽  
Deformation Properties ◽  
Contour Plots ◽  
State Band ◽  
Boson Model

The energies of the ground, [Formula: see text] and [Formula: see text] bands as well as the associated [Formula: see text] values have been calculated using interacting boson model (IBM). We have developed a new method called “new empirical equation” for each even–even rare-earth Er–Os for [Formula: see text]. Also, the relation of the gamma energy over spin as a function of the spin [Formula: see text] (E-GOS) has been drawn. The ratio between the energies of the [Formula: see text] and [Formula: see text] states as a function of [Formula: see text] has been drawn to determine the property of the ground-state band, these curves indicated that these isotopes have a rotational property SU(3), with the [Formula: see text] property for [Formula: see text]Os isotopes. The contour plots of the potential energy surface for Er–Os for [Formula: see text] are studied using the simplified form of interacting boson model with an intrinsic coherent state. The critical points have been determined for [Formula: see text]Os isotopes. The behaviors of energy and [Formula: see text] ratios in the ground-state band are examined.

Moment of inertia in the interacting boson model

1987 ◽  
Vol 328 (2) ◽  
pp. 171-175 ◽  
Author(s):  
A. Mishra ◽  
A. N. Mantri
Keyword(s):  
Moment Of Inertia ◽  
Interacting Boson Model ◽  
Boson Model

Variable moment of inertia in the interacting boson model

1988 ◽  
Vol 38 (4) ◽  
pp. 1921-1925 ◽  
Author(s):  
Arpita Mishra ◽  
A. N. Mantri
Keyword(s):  
Moment Of Inertia ◽  
Interacting Boson Model ◽  
Boson Model ◽  
Variable Moment

Ion–polar molecule encounters

1982 ◽  
Vol 384 (1787) ◽  
pp. 289-300 ◽  
Keyword(s):  
Rate Coefficient ◽  
Orbital Plane ◽  
Potential Energy Function ◽  
Rotational Energy ◽  
Moment Of Inertia ◽  
Rate Coefficients ◽  
Angular Momentum Vector ◽  
Dipole Orientation ◽  
Collision Problem ◽  
The Moment

It is permissible to assume that the rate coefficient for collisions between ions and polar molecules does not depend on the moment of inertia of the latter because the rotation time is brief compared with the collision time. On taking the moment of inertia to be vanishingly small the classical collision problem can be solved exactly when the angular momentum vector is normal to the orbital plane. Use is made of the adiabatic invariance of ∮ p d q /2π in which p is an appropriate momentum and q is the conjugate coordinate. This adiabatic invariant fixes the change in the rotational energy in moving from an infinite separation to any chosen position. The average dipole orientation is thereby determined, which fixes the force acting. The potential energy function (including due allowance for the rotational energy stored) is now written down and an integral expression for the primitive rate coefficient is thence obtained. The ratio of the primitive rate coefficient to the Langevin rate coefficient depends only on the initial rotational energy and on the dimensionless parameter β = 2 αkT/D 2 , where α is the polarizability, D is the dipole moment and T is the temperature. Extensive computations have been performed. Tables are presented giving the primitive rate coefficient and also approximations to the thermally averaged rate coefficients for linear and for spherical top molecules.

scholarly journals Microscopic Description of 170 Er, 172 Yb, 174 Hf, and 176 W Isotones

2020 ◽  
Vol 928 (7) ◽  
pp. 072124
Author(s):  
Yasir Yahya Kassim ◽  
Mushtaq Abed Al-Jubbori ◽  
Imad Mamdouh Ahmed ◽  
Hewa Y. Abdullah ◽  
Fadhil I. Sharrad
Keyword(s):  
Excited States ◽  
Angular Frequency ◽  
Interacting Boson Model ◽  
Microscopic Description ◽  
Boson Model ◽  
Energy States ◽  
The Moment ◽  
Experimental Values ◽  
The Relationship ◽  
Good Agreement

Abstract The properties of 170 Er, 172Yb, 174Hf, and 176Wisotones have been studied and their energy states calculated. To identify the properties of each isotone, the values of the first excited states, E 2 1 + and the ratio of the second excited states to the first excited states, R 4 / 2 = E 4 1 + / E 2 1 + for all nuclei under consideration were adopted. To determine the properties of each nucleus, the relationship between the moment of inertia 2𝜗/ℏ 2 and the square of the angular frequency, ℏ 2 𝜔 2, the relationship between successive excited states to those preceding them r ( I + 2 ) I ) and the ΔI = 1 staggering between the GSB and the NPB states were studied for all states of 170Er, 172Yb, 174Hf, and 176W isotones. After identifying the properties of each isotone, the rotational limit in the interacting boson model IBM-1 and the IVBM model was used to calculate the energy states for each isotone and the results were compared with the experimental values. and good agreement was observed with some exception. The inaccuracy of some calculations in the IBM-1 results from the lying of some high states out the range of the rotational properties that were used.

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