How is the coulomb interactions between two electrons affected when the electionary are drawn in toward the nucleus
if electrons are added to the atom then it forms negative ion & if electron are removed from the atom then positive ion is formed.
in case of negative ion repulsion forces increases betweeen electron & in case of positive ion formation repulsion forces between electrons decraes according to coulomb's law
The picture of electrons "orbiting" the nucleus like planets
around the Sun remains an enduring one, not only in popular images
of the atom but also in the minds of many of us who know better.
The proposal, first made in 1913, that the centrifugal force of the
revolving electron just exactly balances the attractive force of
the nucleus (in analogy with the centrifugal force of the moon in
its orbit exactly counteracting the pull of the Earth's gravity) is
a nice picture, but is simply untenable: an electron, unlike a
planet or a satellite, is electrically charged, and it has been
known since the mid-19th century that an electric charge that
undergoes acceleration (changes velocity and direction) will emit
electromagnetic radiation, losing energy in the process. A
revolving electron would transform the atom into a miniature radio
station, the energy output of which would be at the cost of the
potential energy of the electron; according to classical mechanics,
the electron would simply spiral into the nucleus and the atom
would collapse.
The Heisenberg "uncertainty" principle (a more descriptive term
would be "indeterminancy"), developed in the 1920's, rescues the
atom from this fate, and provides a much clearer understanding of
why the electron does not fall into the nucleus. The Heisenberg
principle says that either the location or the momentum (energy) of
a quantum particle such as the electron can be known as precisely
as desired, but as one of these quantities is specified more
precisely, the value of the other becomes increasingly
indeterminate. It is important to understand that this is not
simply a matter of observational difficulty, but rather a
fundamental property of nature.
To understand the implications of this restriction, suppose we
place an electron in a tiny box. The walls of the box define the
precision with which the location of the electron can be specified;
the smaller the box, the more exactly do we know its location. But
as we make the box smaller and smaller, the energy of the electron
will span a wider range of values, including increasingly larger
ones that may occasionally allow the electron to penetrate the
walls of the box and escape (this phenomenon is known as
"tunnelling".)
The region of space near the nucleus can be thought of as a very
small funnel-shaped box, the walls of which correspond to the
electrostatic attraction by the positive charge of the nucleus on
the electron. As the electron is drawn in toward the nucleus, the
electrostatic attraction increases rapidly, causing the effective
size of the box to decrease. But because the location of the
electron is more precisely specified, its energy becomes less
determinate, which essentially means that it increases. The energy
thus gained is in the form of kinetic energy (sometimes called
"confinement energy" in this context), and this more than
compensates for the fall in the potential energy of the electron as
it approaches the nucleus. The region of space where the electron
is most likely to be found (the orbital) essentially "floats" at a
location at which the potential energy and confinement energy
exactly balance.
Gravitational attraction between two electrons is:
Fgrav = G m^2 / r^2
Electrostatic repulsion between two electrons is:
Felec = k q^2 / r^2
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