Inherent Stability of Rutherford's Nuclear Model of the Hydrogen Atom
Circular revolution of an electron, round a centre of force of
attraction, as in the Rutherford's nuclear model of the hydrogen atom,
is inherently stable. Circular revolution of an electron, with
constant peripheral speed and constant centripetal accelelration, does
not involve any change in the potential energy or kinetic energy of
the electron. Circular revolution, perpendicular to a radial electric
field, is perfectly stable and readily executed without rdiation.
Energy radiated by a revolving electron is the difference between a
change in its potential energy and a change in its kinetic energy.
Energy radiation takes place only when an accelerated electron is
excited in being dislodged from the circular orbit, to move with a
velocity component along the accelerating electric field. An excited
electron revolves in unclosed elliptic orbits, in many cycles of
revolution, with change in potential and kinetic energies and emission
of radiation, before reverting back into the stable circular orbit.The
frequencies of emitted radiation are very nearly equal to the
frequency of revolution in the stable circular orbit.
Sie Ernest Rutherford's nuclear model of the hydrogen atom is
inherently stable, contrary to Abraham-Lorentz formular for radiation
force and Larmor fromula for radiation power in electrodynamics.
Abraham-Lorentz formula gives radiation force as proportional to the
rate of change of acceleration and Larmor formula makes radiation
power proportional to the square of acceleration. Larmor formula
influenced physics early in the 20th century by making the nuclear
model of the hydrogen atom to radiate energy and become unstable. It
required Neil Bohr's brilliant hypotheses, invoking quantum mechanics,
to stabilize the nuclear model of the hydrogen atom by preventing it
from radiating and collapsing.
There should have been no need for Bohr's quantum theoery as the
Rutherford's nuclear model of the hydrogen atom is perfectly stable.
For a Paper on "Two New Models of the Hydrogen Atom Outside Quantum
Mechanics, please see: [Only registered users see links. ]