Abstract:
The theoretical method of determination of absolute atomic size, discussed in Int. J. Mol. Sci. 2002, 3, 87-113, is exploited to calculate absolute radii of the ions whose experimental radii are published by Shanon. The computed radii are found to reproduce the expected periodic variation of size in periods and in groups and nicely reproduce the d-block and f-block contractions in the respective series. It is pointed out that experimental radii of d and f block transition metal ions make erroneous and misleading representation of the size behaviour of the respective series. A detailed comparative study of the crystal radii vis-à-vis the theoretical radii is reported. A rationale of the double hump curve of the experimental radii of 3 d-block transition metal ions is put forward in terms of the crystal field theory and Jahn-Teller distortion. The theoretical radii are exploited to calculate the diamagnetic susceptibility, polarizability and chemical hardness of the ions and compared with available experimental data. The fact of good agreement between the experimental and computed global hardness of ions and correct demonstration of d-block and f-block contraction by the computed radii are used as benchmark to test the validity of the values of the computed theoretical radii of the ions as their representative sizes. It is concluded that the theoretically computed radii of ions are visualizable size representation of ions and can be used as their absolute radii at the respective oxidation states.

Abstract:
with the measurements of the local radii of curvature of an aspherical optical, convex or concave surface, the shape of the surface can be found. in this paper a method is proposed for taking radius measurements, for off-axis sections of an optical surface, using a retrocollimated interference method (rim) that was previously developed by several authors[1-3]; but in particular, in this paper, the one described by xiang[4] for measuring long radii of curvature[5,6] is used.

Abstract:
We begin by examining a general expression of entropy, and its links to a minimum radius of the universe. We derive an expression for the production of at least 1 unit of entropy, which translates to a value of Planck length in radii to 1000 times Planck radii, for the quantum bubble of space-time which depends upon, of all things, the initial Hubble expansion rate value. If the Hubble parameter has the value of 10^19 GeV, we see a minimum radial length of the Universe of about 1 billion times Planck length. If the Hubble parameter is of 10^19 GeV, the minimum radial length of the universe would be about one Planck length, which is surprising to put it mildly. The higher the initial temperate is, up to a point, the more likely the initial entropy is closer to the Causal barrier mentioned in an earlier publication by the author.

Abstract:
we present femtoscopic results from models in which the resonance contribution is taken into account. the therminator program, which implements a single freeze-out model and takes into account propagation and decay of all known resonances, was used. we test methods of determining the femtoscopic size of the system, or the ''hbt radii''. we show that the best one is the two-particle method combined with the exact calculation of the two-pion wave function including the wave-function symmetrization and coulomb effects. we compare it to other methods and comment on their validity and applicability.

Abstract:
this experiment, where very common materials and equipments are used, conducts to good and interesting results related to the ionic radii of sodium and chloride ions. it also offers an excellent opportunity to discuss the crystalline arrangement of solids and to apply simple mathematical tools for calculations. other important concepts such as density, solubility and saturated solution are also used. the simplicity of the experiment creates an excellent opportunity for reasoning with the students about the technique.

Abstract:
For certain univalent function f, we study a class of functions f as defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator, satisfying Re { (zJ1λ, μ f(z))')/((1 -γ) J1λ, μ f(z) + γ z2(J1λ, μ f(z))" )} > β. A necessary and sufficient condition for a function to be in the class Aγλ, μ, ν(n, β) is obtained. In addition, our paper includes distortion theorem, radii of starlikeness, convexity and close-to-convexity, extreme points. Also, we get some results in this paper.

Abstract:
This is a case report of female non identical twins with bilateral absent radii and severe thrombocytopenia. Genetic studies confirmed 1q21.1 deletion. A review of literature showed TAR syndrome in 2 pairs of identical twins (reported in 1986) and one pair of non identical twins (reported in 1979). DOI: http://dx.doi.org/10.3126/jnps.v33i2.8378 ？ J Nepal Paediatr Soc. 2013; 33(2):150-151

Abstract:
Carbon forms a variety of compounds with single, double, triple and the intermediate resonance
bonds with atoms of its own or other kinds. This paper is concerned with graphite, a very useful
material, which is a stack of electrically conducting graphene layers held together by weak van der
Waals (vdW) bonds. It crystallizes in hexagonal and rhombohedral forms, in which the hexagon
inter-planar bond distance is 0.34 nm. Here a new and simple approach accounts for this bond
length and shows the coulombic nature of the vdW bond.

Abstract:
The present multi-harmonic shell clustering of a nucleus is a direct consequence of the fermionic nature of nucleons and their average sizes. The most probable form and the average size for each proton or neutron shell are here presented by a specific equilibrium polyhedron of definite size. All such polyhedral shells are closely packed leading to a shell clustering of a nucleus. A harmonic oscillator potential is employed for each shell. All magic and semi-magic numbers, g.s. single particle and total binding energies, proton, neutron and mass radii of ^{40}Ca, ^{48}Ca,^{ 54}Fe, ^{90}Zr, ^{108}Sn, ^{114}Te, ^{142}Nd_{, }and ^{208}Pb are very successfully predicted.