The Birth of the Bohr Model

Author(s):  
Anthony Duncan ◽  
Michel Janssen

We follow Niels Bohr from his 1911 dissertation on the electron theory of metals to his 1913 trilogy on the constitution of atoms and molecules. The dissertation shows that Bohr was thoroughly familiar with the early work of predominantly German physicists on quantum theory and that he suspected that the behavior of bound rather than free electrons called for new laws of physics. During postdoctoral work with Rutherford in Manchester, Bohr learned about the alpha-scattering experiments by Geiger and Marsden that led Rutherford to suggest that an atom consists of a nucleus containing most of its mass with a cloud of electrons swirling around it. Bohr tried to infer the atomic structure in more detail from these and further alpha-scattering experiments. Bohr’s models are in the tradition of British atomic modeling of J.J. Thomson and others but Bohr also borrowed from Planck the notion that energy is proportional to frequency. These early ideas have been preserved in the so-called Manchester memorandum, a set of notes Bohr prepared for Rutherford before returning to Copenhagen in July 1912. In this memorandum, Bohr only considered the ground state of an atom and focused on chemical rather than spectroscopic phenomena. He first started thinking about excited states when he encountered models similar to his own by another British model builder, Nicholson. His interest shifted from chemistry to spectroscopy when a Danish colleague, Hansen, alerted him to the Balmer formula. Within a month of first laying eyes on Balmer’s formula, Bohr submitted the first installment of his trilogy, which contains his famous model of the hydrogen atom. In the following months he completed the trilogy, dealing with more complicated atoms and molecules and presenting results directly coming out of the research recorded in the Manchester memorandum.

2010 ◽  
Vol 24 (22) ◽  
pp. 2317-2325
Author(s):  
WEI LI ◽  
SHIBING LIU ◽  
CHENGXIN YU ◽  
WEI YANG

Based on the Langevin noise approach, a full quantum theory of radiation in laser plasma is explored, where the laser intensity is limited to the range of 1010 W/cm2 to 1012 W/cm2 and the plasma is considered as a homogeneous dielectric background. By numerical calculation, the results show that the radiation is generated from the resonance of the plasma and the emitted rate of photons depends on the angular relation between the directions of radiation fields and the motion of the unbounded free electrons. In addition, the photons are more easily created under the lower collision frequency.


1986 ◽  
Vol 39 (5) ◽  
pp. 779 ◽  
Author(s):  
WJ van der Meer ◽  
RJ Butselaar ◽  
CA de Lange

A recently developed modulation method is used to obtain cross sections for the photoionisation of ground state neutral to ground state ionic, atomic and molecular chlorine relative to that of the HCl + (X2n 1IZ,3IZ) +-- HCl(XI ~ +) transition at the He Ia wavelength. With the known absolute cross section of the latter process, determined by (e,2e) coincidence spectroscopy, the present ell,periments provide absolute photoionisation cross sections of the CI + epz,l,o) +-- Clep) and Cli (XZ n g, 1IZ,3 IZ) +-- Clz (X I ~ t) transitions. Relative cross sections, previously determined for the transitions to the additional Cl and Clz ionic states accessible with He Ia radiation, are used to obtain absolute cross sections for the Cl+(IDz, ISO) +-- Clep) and Cli(AZnu,1IZ,3IZ, BZ~t) +-- Clz(XI~t) ionisation processes.


2005 ◽  
Vol 19 (15n17) ◽  
pp. 2380-2385 ◽  
Author(s):  
BAOLIN WANG ◽  
DALING SHI ◽  
XIAOSHUANG CHEN ◽  
GUANGHOU WANG ◽  
JIJUN ZHAO

By using Gaussian98 package at BPW91 6-31g(d,p) level combined a genetic algorithm (GA) simulation, we have studied the lowest energy structural and electronic properties of the Al n N ( n =2-13) clusters. The ground-state structures, the charge transfers from Al to N site, HOMO-LUMO gap and the covalent, ionic and metallic nature with cluster size and atomic structure are investigated. Al 7 N , Al 9 N and Al 12 N cluster is found particularly stable among the Al n N clusters.


Author(s):  
Eric Scerri

In chapter 7, the influence of the old quantum theory on the periodic system was considered. Although the development of this theory provided a way of reexpressing the periodic table in terms of the number of outer-shell electrons, it did not yield anything essentially new to the understanding of chemistry. Indeed, in several cases, chemists such as Irving Langmuir, J.D. Main Smith, and Charles Bury were able to go further than physicists in assigning electronic configurations, as described in chapter 8, because they were more familiar with the chemical properties of individual elements. Moreover, despite the rhetoric in favor of quantum mechanics that was propagated by Niels Bohr and others, the discovery that hafnium was a transition metal and not a rare earth was not made deductively from the quantum theory. It was essentially a chemical fact that was accommodated in terms of the quantum mechanical understanding of the periodic table. The old quantum theory was quantitatively impotent in the context of the periodic table since it was not possible to even set up the necessary equations to begin to obtain solutions for the atoms with more than one electron. An explanation could be given for the periodic table in terms of numbers of electrons in the outer shells of atoms, but generally only after the fact. But when it came to trying to predict quantitative aspects of atoms, such as the ground-state energy of the helium atom, the old quantum theory was quite hopeless. As one physicist stated, “We should not be surprised . . . even the astronomers have not yet satisfactorily solved the three-body problem in spite of efforts over the centuries.” A succession of the best minds in physics, including Hendrik Kramers, Werner Heisenberg, and Arnold Sommerfeld, made strenuous attempts to calculate the spectrum of helium but to no avail. It was only following the introduction of the Pauli exclusion principle and the development of the new quantum mechanics that Heisenberg succeeded where everyone else had failed.


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