Bohr model and dimensional scaling analysis of atoms and molecules

A Svidzinsky, G Chen, S Chin, M Kim… - … Reviews in Physical …, 2008 - Taylor & Francis
It is generally believed that the old quantum theory, as presented by Niels Bohr in 1913, fails
when applied to few electron systems, such as the H2 molecule. Here we review recent …

The two electron molecular bond revisited: from Bohr orbits to two-center orbitals

G Chen, SA Chin, Y Dou, KT Kapale, M Kim… - Advances in Atomic …, 2005 - Elsevier
Niels Bohr originally applied his approach to quantum mechanics to the H atom with great
success. He then went on to show in 1913 how the same “planetary-orbit” model can predict …

[PDF][PDF] 100th anniversary of Bohr's model of the atom.

WH Schwarz - Angewandte Chemie International Edition, 2013 - researchgate.net
Danish physicist Niels Bohr published his atomic models.[1] In 1911–1912 he had visited
the centers of experimental and theoretical atomic physics: Cambridge (where Thomson, the …

Bohr's molecular model, a century later

A Svidzinsky, M Scully, D Herschbach - Physics Today, 2014 - pubs.aip.org
Despite the great power and scope of modern computers, there remains yearning for
intuitive, pedagogically appealing ways to understand electronic structures in atoms …

[图书][B] Chemistry from first principles

JCA Boeyens - 2008 - books.google.com
The book consists of two parts: A summary and critical examination of chemical theory as it
developed from early beginnings through the dramatic events of the twentieth century, and a …

Model of molecular bonding based on the Bohr–Sommerfeld picture of atoms

AA Svidzinsky, SA Chin, MO Scully - Physics Letters A, 2006 - Elsevier
We develop a model of molecular binding based on the Bohr–Sommerfeld description of
atoms together with a constraint taken from conventional quantum mechanics. The model …

Simple and Surprisingly Accurate Approach to the Chemical Bond Obtained<? format?> from Dimensional Scaling

AA Svidzinsky, MO Scully, DR Herschbach - Physical review letters, 2005 - APS
We present a new dimensional scaling transformation of the Schrödinger equation for the
two electron bond. This yields, for the first time, a good description of the bond via D scaling …

Dimensional scaling for hydrogen molecule (1+) without the Born-Oppenheimer approximation

CA Traynor, DZ Goodson - The Journal of Physical Chemistry, 1993 - ACS Publications
The standard dimensional continuation of the Schrddinger equation, in which the kinetic
energy is generalized to arbitrary D, while the potential energy is left unchanged, leads to …

Visualizing atomic sizes and molecular shapes with the classical turning surface of the Kohn–Sham potential

E Ospadov, J Tao, VN Staroverov… - Proceedings of the …, 2018 - National Acad Sciences
The Kohn–Sham potential v eff (r) is the effective multiplicative operator in a noninteracting
Schrödinger equation that reproduces the ground-state density of a real (interacting) system …

Lewis electronic structures as the large-dimension limit for H2+ and H2 molecules

DD Frantz, DR Herschbach - Chemical physics, 1988 - Elsevier
In the large-dimension limit, a scaling transformation reduces electronic structure to a
classical form in which the wavefunctions shrink to delta functions. The fixed geometrical …