
An excited state of the hydrogen atom :
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An excited state of the hydrogen atom : |
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When electrons make a jump from lower energy level (a specific value of n) to another
energy level
(higher), it is said that the atom come on in an excited state, in this the
phenomenon a photon is
absorbed by the electron in lower state. which provides
the necessary energy to satisfy energy
conservation. The inverse wavelength (which is
proportional to the energy) of the light is then
proportional to the change in energy:
R is known as Rydberg's constant. As an exercise, students can solve for R in
terms of
fundamental constants. The beginning level is denoted by m and the final level is
denoted by n. For
n = 1, the various wavelengths (m = 2,3,4...) are known as the Lyman series.
The Balmer series is the series where n = 2 and the Paschen series is for n = 3. The values of the
wavelengths are often called spectral lines because of the lines that appear in
diffraction
experiments. For a hot hydrogen source, where the atoms are excited thermally
and then de-
excite
via the emission of photons, the Balmer series is in the visible range.
Counting the states of hydrogen:
The Hydrogen atom consists of a proton at the nucleus and an electron in a cloud surrounding
it. Generally we can divide the states of hydrogen as ground state and excited state. On
behalf of
orbital theory, they can acquire any of the orbital s, p, d, f; by following Auf bau
principle.
Resonance
scattering of laser light has been used to study electronic depopulation
rates in a
low-temperature
hydrogen plasma for excited states with quantum numbers n=3,
4, 6 and 7. It
turns out that the
relatively low cross sections for this process predicted by
semi classical impact-
parameter
models fit the measured data within the experimental errors.
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