We are bounded in a nutshell of Infinite Space: Reading #2: Why aren’t
stars perfect Blackbodies?
All this time, we have been
explaining how stars are easily approximated
as blackbodies, which offers us great insights into their properties. However,
there is a condition which limits the possibility of establishing a sure
connection between the theoretical approximation of a blackbody and a huge mass
of nuclear fusion held together and pulled apart by gravity and pressure. These
are the dips in a spectral image of a star:
So what is
the source of these dips, for which we travel to the early nineteenth century,
where spectral lines are about to be discovered. In 1802, William Wollaston was
the first we know to have seen and describe the dark lines which appeared after
splitting the light stemming from the Sun with a prism. Later on, Joseph Von
Fraunhofer, a German optician, successfully split the spectral lines of the Sun
and catalogued all 475 according to their width and position. These spectral
lines are now known as Fraunhofer lines, and they were used to find the
elements which compose the Sun.
While
observing these lines, Fraunhofer was able to pick out the specific lines which
make up the specific color of salt when thrown into a flame. Using this same technique,
Robert Bunsen would create a burner which most precisely yielded the color
spectrum of different elements when exposed to the flame. Along with Gustav Kirchhoff,
Bunsen found how these specific lines in the Fraunhofer solar spectrum corresponded
directly with the lines emitted by other elements, as is the case of iron and what
would later be determined as Helium in 1868. Kirchhoff, being a theoretical
physicist, established a set of descriptions to broadly explained spectral
lines, the most relevant being how cool, diffuse gas could absorb energy from
the full spectrum and create absorption lines.
These absorption
lines also helped other scientists and astronomers find a clear relationship
between slightly different spectra, caused by what we then learned was the
phase shift from the Doppler effect of moving while emitting photons. This
equation is described as: \[\frac{\lambda_{obs} - \lambda_{rest}}{\lambda_{rest}}
= \frac{v_r}{c},\] where \(v_r\) is the radial velocity, c is the speed of
light, and the wavelengths are differentiated form being the observed ones and
the normally emitted. These early descriptions of moving objects would be the
basis of Hubble’s expanding universe model, based on a shift in the wavelength
of atomic hydrogen from the established standard, z, also known as redshift, is calculated precisely the same as the
radial velocity is. Spectral lines are the basis for our understanding of what
other objects are made of, and are what has allowed us to better see how other
systems develop, accumulate matter, and how stars forge the heaviest elements
in spectacular explosions we call supernovae.
References:
Maoz, D. Astrophysics in a Nutshell.
Carrol & Ostlie; 2007; Introduction to Modern Astrophysics
https://upload.wikimedia.org/wikipedia/commons/thumb/2/2f/Fraunhofer_lines.svg/2000px-Fraunhofer_lines.svg.png
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