scholarly journals The structure of atomic nuclei

In a previous paper it was shown that the energies of nuclear reactions are multiples of q = 0·000415 in atomic weight units and that the atomic weights of the light elements may be supposed equal to N (1 + b ) sq , where N and s are integer and b is a small quantity the same for all elements. In the reaction equations the terms N (1 + b ) cancel out so that the reaction energies are given by nq = Σ sq . Thus the equation 4 Be 9 + 1 H 1 = 4 Be 8 + 1 H 2 + nq gives 9 (1 + b ) + 33 q + 1 + b + 19 q = 8 (1 + b ) + 17 q + 2 (1 + b ) + 34 q + nq , so that 33 q + 19 q = 17 q + 34 q + nq which gives 52 = 51 + n , or n = 1. The number of independent reaction equations is two less than the number of elements involved so that two of the values of the energy integer s can be elected. In the previous paper the values of s for 2 He 4 1 H 1 were taken to be 8 and 19 respectively and the values of s for the other elements were calculated by means of the reaction equations.

It has been shown in previous papers that the nuclei of the radioactive atoms probably have equally spaced energy levels so that the energies of the rays emitted by the nucleus are equal to multiples of a constant q = 3·85 × 10 5 electron volts. Several light elements also appear to have nuclear levels with differences equal to q within the rather large limits of error. We should therefore expect the energies set free in nuclear reactions to be equal to multiples of q . The electronic energies of the light elements are small compared with q , so that the observed energies should be multiples of q . The energies of considerable number of nuclear reactions have been measured, but only a few with sufficient accuracy to show whether they are or are not equal to multiples of q . The energies of the 17 nuclear reactions given in a recent paper by Oliphant, Kempton, and Rutherford are given in Table I. The energies are in atomic weight units equal to 9·315 ×10 8 electron volts. Some of the values have been increased slightly since they were not quite accurately calculated from the energies in electron volts.


In a recent paper we showed that the nuclear transformations produced in lithium by bombarding the element with protons and with ions of heavy hydrogen were in complete accord with the laws of the conservation of mass-energy and of momentum. At the same time we pointed out that there were serious discrepancies between the mass-data and the transformation-data in some other cases, and we stressed the fact that the concordance for lithium was one between mass-differences, and gave no test of the correctness or otherwise of the absolute masses in terms of O 16 = 16·000. In the present communication we present the results of experiments on the transformation of beryllium and boron by protons and by ions of heavy hydrogen. It is shown that it is not possible to interpret these results on the mass-data at present available, and we indicate how the difficulties may be overcome by the assumption of a single small error in the mass-spectrographic value for the mass of He 4 . Beryllium So far as it is known beryllium consists of a single isotope,* the mass of which according to Bainbridge is 9·0155. This mass is greater than that of two α-partieles and a neutron (8·0043 + 1·0080§ = 9·0123) by nearly three million volts, and hence great difficulties have been en­countered in nuclear theory in accounting for the observed stability. It had been found by Rayleigh|| that the mineral beryl contained an abnormal quantity of helium, while the experiments of Curie-Joliot and of Chadwick¶ had shown that beryllium gave a copious emission of neutrons when bombarded by α-particles, but the most careful search has failed to give any evidence whatever for a spontaneous emission of particles from the element. Both lithium and boron, of atomic numbers 3 and 5 respectively, are very easily transformed by bombardment wit protons and with ions of heavy hydrogen, so that it was to be expected that beryllium, which lies between them in the periodic table, would also give effects when bombarded by the same ions. Observation of the energies evolved if the reactions are known with certainty, should then lead to values for the mass of Be 9 in terms of the masses of the other products of the transformations, which can be used to check the mass found by Bainbridge.


Author(s):  
Viacheslav S. Okunev

The main purpose of the work is to determine the possibility of cluster decays of superheavy atomic nuclei. The universality of the principle of similarity allows you to apply it to the analysis of not studied physical processes. Analogies are observed in forced and spontaneous decays of atomic nuclei. It is shown that in two stages, processes initiated by external influence are realized: fragmentation reactions, forced fission of stable nuclei, and impact radioactivity. Nuclear reactions of fragmentation and forced fission of stable isotopes of lead and bismuth are realized under the action of particles (hadrons) and light atomic nuclei with a kinetic energy of more than 108 eV. Shock radioactivity is observed in the collision of macroobjects having a crystalline structure at speeds of at least ∼1 km/s. Also, in two stages, some radioactive decays of atomic nuclei are realized, including extremely rare cluster decays. Based on the analogies of the processes considered, some cautious predictions are made about the possibility of cluster decays of atomic nuclei in a wide range of atomic masses.


2020 ◽  
Vol 2 ◽  
pp. 407
Author(s):  
G. S. Anagnostatos

Mlcroclusters composed of atoms with non delocallzed odd number of valence electrons possess the usual magic numbers for fermions in a central potential and those with an even number of valence electrons possess the magic numbers for bosons coming from the packing of atoms in nested icosahedral or octahedral or tetrahedral shells. On the other hand, mlcroclusters composed of atoms with delocallzed valence electrons, either with an odd or with an even number of electrons, exhibit electronic magic numbers (according to the jelllum model) but also magic numbers coming from the (same, as above) packings of their bosonlc ion cores. Finally, through the present work, an alternative approach to study atomic nuclei as quantum clusters appears possible and promising.


Elements ◽  
2017 ◽  
Vol 13 (4) ◽  
pp. 231-236 ◽  
Author(s):  
Charles K. Shearer ◽  
Steven B. Simon

The behavior of boron during the early evolution of the Solar System provides the foundation for how boron reservoirs become established in terrestrial planets. The abundance of boron in the Sun is depleted relative to adjacent light elements, a result of thermal nuclear reactions that destroy boron atoms. Extant boron was primarily generated by spallation reactions. In the initial materials condensing from the solar nebula, boron was predominantly incorporated into plagioclase. Boron abundances in the terrestrial planets exhibit variability, as illustrated by B/Be. During planetary formation and differentiation, boron is redistributed by fluids at low temperature and during crystallization of magma oceans at high temperature.


Until lately gold ranked among the elementary substances of which the general properties had been well ascertained, but in regard to the atomic weights of which our knowledge was least satisfactory. That this constant should be determined as accurately as possible for gold was desirable in view of its bearing on the precise place assigned the metal in the “periodic” classification of the elements based on the ideas of Newlands, Odling, Mendelejeff, and L. Meyer. Furthermore, an exact know­ ledge of the atomic weight of gold might be conveniently applied in the determination of the atomic weights of some of the other elements. A practical laboratory reason for desiring to possess a trustworthy value for this constant was also presented by the facility with which gold compounds of many organic substances may be prepared, and the ease with which their composition may be ascertained by simple ignition in the air and weighing of the residual gold, the results leading to a knowledge of molecular composition when the atomic value of the weight of the metal obtained is assumed to be known. For the last three years and a half I have been occupied, during a large part of such time as has been available for original work, in devising and carrying out experiments aiming at the redetermination of the constant in question. The difficulties met with have been greater than were at first looked for, and have led to much time and labour being consumed in attempts to overcome them. About two years ago, when this work was already well under way but still in progress, there appeared the results of experiments aiming at the same end, by Kruss in Germany and by Thorpe and Laurie in England—experiments made with the care and accu­racy of modern methods, and apparently deserving of much confidence. My own work, however, was continued, as we cannot have too many careful independent determinations of atomic weights by different workers, and as I had used to a con­siderable extent other procesess than those on which the newly published determina­tions were based, while the chemists named had employed, in the main, one and the same method. A preliminary notice of my work was read in the Chemical Section of the British Association at the Manchester meeting of 1887. The details of my experiments and the results which I have reached are now laid before the Royal Society.


1969 ◽  
Vol 6 (3) ◽  
pp. 505-515 ◽  
Author(s):  
J. Orriss

SummaryIn this paper a stochastic model is set up for a certain type of reversible chemical reaction and a solution given for the equilibrium distribution; this solution is then extended to deal with any system of chemical reactions.Three different types of reaction are considered:(1) Several substances Ai react together and give a set of substances Bj. The reaction is reversible, with the substances Ai appearing only on one side of the reaction equation and the substances Bj only on the other.(2) Several different reactions involving the substances Ai and Bj take place simultaneously, but in each reaction equation the substances Ai can appear only on one side and the Bj only on the other.(3) The restriction of the sets Ai and Bj to different sides of the reaction equations is removed: any reaction involving any of the substances Aiand Bj on either side of the equation is permissible.The paper concludes with some applications of the results to problems of molecular adsorption.


By a study of the scattering of protons by atomic nuclei we can gain information about the interactions of these particles. For sufficiently low velocities of the impinging protons, corresponding to 30 electron kilovolts, it has been shown by Gerthsen that they are scattered by celluloid according to the Rutherford law, and by hydrogen according to the Mott law of scattering of similar particles. At a distance of approach represented by this energy, the inverse square law of force still holds between the particles. Schneider has investigated the scattering of protons of energies up to 300 e.-kv. in aluminium, carbon, and boron. He found a pronounced maximum in the scattering by boron, compared with that by aluminium, at 200 e.-kv. It is not possible to say whether this anomaly is due to a breakdown in the Coulomb law of force between the boron nucleus and a proton, as he used thick layers of scattering material, a fact which renders the interpretation of his results difficult. The present work was undertaken with a view to checking these results, using sufficiently thin targets to ensure single scattering. Schneider’s observations have not been confirmed, although other anomalies have presented themselves.


The law of Neumann assumes that when an atom enters into chemical combination it retains the same capacity for heat as when in the uncombined or elemental state. This generalisation is, however, based on the values observed for the mean specific heats of elements and their compounds between 0° and 100° C. Attention was directed in Part II. of this investigation to the great differences found in the influence of temperature on the specific heats of various metals, such as aluminium on the one hand, and silver or platinum on the other. The experiments now about to be described were undertaken with the object of ascertaining to what extent these differences persist in the compounds of such elements.


1998 ◽  
Vol 509 (1) ◽  
pp. L1-L3 ◽  
Author(s):  
G. Burbidge ◽  
F. Hoyle
Keyword(s):  

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