Tim Thompson
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Solar Photosphere and Optical Depth (again)
This came up on the thread regarding Lambda-CDM cosmology, but this seems like the more appropriate venue for a response.
I posted this in January 2011, referencing another post from June 2009, just over two years ago.
And we have discussed this several times in the years between.
From 14 June 2010
From 23 April 2010
From 22 April 2010
From 19 July 2009
That post pointed out that a column of photosphere plasma about 1000 km long would hold at minimum about 1021 to 1025 atoms. This is called a column density in astrophysics and it is an important concept to keep in mind. It is not the volume density that is important in deriving the opacity of a gas or plasma, but rather the column density along the line of sight between the observer and the source of radiation. If the path length is large enough, even a small volume density can add up to a large column density, which can in turn lead to a large opacity or optical depth along that line of sight. That's why stars like the sun exhibit limb darkening, because the longer path length leads to a larger opacity. The same effect leads to red sunsets on Earth, where the longer path length creates a larger opacity for shorter wavelength light (i.e., blue) and scatters it out of the line if sight, so only longer wavelength (i.e., red) light can get through.
As you can see, with Mozina it's always deja vu. But once again, Mozina contradicts Mozina, so which Mozina are we supposed to believe (if either)? As I said above, even the thinnest part of the photosphere has a hydrogen atom number density about 9x1012 atoms/cm3. Mozina today has referred to it as "a wispy light plasma", and two years ago as "far too thin". He continues to insist that the photosphere plasma is too thin to act as a blackbody. However, he seems to have no problem with the interstellar plasma acting as a blackbody. So how "thin" is the interstellar plasma compared to the photosphere? The answer was posted only a few days ago.
So, according to Mozina, the photosphere is far too thin & wispy to produce a blackbody spectral energy distribution (SED) by scattering sunlight. However, also according to Mozina, the interstellar plasma, which is about ten thousand trillion times thinner, will produce a blackbody SED by scattering starlight with an energy density about a trillion trillion times smaller than the energy density of the sunlight scattered by the photosphere. Surely this must be Mozphysics at its finest!
This came up on the thread regarding Lambda-CDM cosmology, but this seems like the more appropriate venue for a response.
Of course, this is not true.In terms of the photosphere you claim that a wispy light plasma acts like a 'black body'. Then you note that it doesn't.
I posted this in January 2011, referencing another post from June 2009, just over two years ago.
Having returned from the family reunion and a visit with my 88 year old aunt, allow me to point out that all of this about the opacity of the photosphere is, as one might expect, a recycled conversation. Been there, done that, with Mozina (and others), to no avail.
From 26 Jun 2009 ...
That is not true. The "thinness" of the plasma is irrelevant. It's the optical depth which determines whether or not the plasma will radiate as a black body. The solar photosphere plasma has an optical depth of 1.0 where it has a mass density of only 2.78x10-7 gm/cm3 (but an electron number density 7.7x1013/cm3 and a hydrogen atom number density 1.2x1017/cm3). An optical depth that high guarantees a black body spectral energy distribution.The huge problem in your idea is that the photosphere is far too thin to be a "black body" in the first place.
It is well known that the emission from the solar photosphere is an approximate black body. It is in fact a superposition of multiple black bodies at multiple temperatures, since we can see emission from throughout the depth of the photosphere. The temperature profile shows 6520 Kelvins at optical depth 1, down to a minimum 4400 Kelvins at optical depth 4x10-4, after which the temperature increases again to 5160 Kelvins at optical depth 5x10-6. The base of the photosphere, about optical depth 24, has a temperature 9400 Kelvins. The region around optical depth 1 contributes most strongly to the black body shape; lower regions of higher optical depth are more opaque, and higher regions of lower optical depth emit less thermal energy. That's why the best fit single temperature black body for the photosphere is about 6000 Kelvins.
I am using the profile given in Solar Astrophysics by Peter V. Foukal (Wiley-VCH, 2004, 2nd edition), page 153. The inversion technique for building the temperature profile is briefly described in section 5.2.2, but far more detailed descriptions & explanations can be found in any book on atmospheric modeling, where inversions are long standing techniques.
The shape of the photosphere SED is well represented in the diagrams on the Wikipedia page for solar radiation. Foukal's book gives far more detailed information for the curious reader.
In the post above, optical depth is defined such that I = I0 * e-tau where tau is the optical depth (I have probably misused the word here and it should be opacity instead, but this is the way I have used it so I proceed apace to maintain consistency), I0 is the radiation intensity at the source and I is the radiation intensity measured by the observer. So at an optical depth of 24, as I have used it, then the observed light intensity is down by a factor of e24 or 2.65x1010 (that means the observed radiative intensity is 3.78x10-11 of the intensity at the source). That level is about 100 km below the level where the optical depth (tau) = 1. The optical depth itself increases exponentially, so if you go down another 100 km, the optical depth will be at least an order of magnitude greater. As anyone can see, this certainly counts as "opaque" by any physically reasonable standard. The idea that one could see to a depth of 4800 km through such a medium, via electromagnetic radiation, is physically ridiculous.
Also see my posts from the following days, Atmospheric Profile Inversion Techniques, and Re: Validity of plasma properties & inversion techniques, which give references to the validity of the techniques used to derive atmospheric profiles from the observations. These methods, especially limb sounding, have been heavily validated in our own atmosphere, where in situ measurements are used to verify the inversions. Other relevant posts from the same time frame are Optical Depth, Solid Surface and Photosphere, Solid Surface and Photosphere II, 171 Angstroms & the Solar Transition Region, and 171 Angstroms & the Solar Photosphere & Chromosphere. All of these posts date from the same time period, June & July 2009, about 18 months ago. And here we are going over the same old thing again like it never happened. An endless loop.
We visit the same topic again in the spring of 2010: Photospheric Opacity and Photospheric Opacity and Composition. And from the summer of 2010: Solar Black Body Emission.
Bottom Line: There is no physical justification for the idea that the photosphere is transparent or translucent beyond a depth of approximately 100 km below the level where the optical depth (as I have defined it here) is equal to one.
And we have discussed this several times in the years between.
From 14 June 2010
Any optically thick plasma will emit electromagnetic radiation in a very nice approximation of a true blackbody, if it is isothermal. The photosphere of the sun does in fact emit as a very nice approximation of a true blackbody, but it is not isothermal. So each temperature layer of the photosphere emits nearly blackbody radiation; we see little from the bottom because there is too much absorbing & scattering material above it, little from the top because it is becoming optically thin, and most from the middle where it is still optically thick but there is not too much stuff above it. So all those blackbody (Planck-law) spectral energy distributions (SEDs) add up to one SED that looks like a blackbody at about 5777 Kelvins. The observed optical spectrum is a sum of that near blackbody continuum plus absorption features from the photospheric gases.
From 23 April 2010
We already know, as a matter of fact, that the mixture of plasma Mozina wants to investigate, both for the general photosphere and sunspot umbrae, exists nowhere in or on the sun. We can look at the sun and see what it is made of. We know its chemical composition (by number about 92% hydrogen, 8% helium and less than 1% everything else; see, e.g., Solar Astrophysics by Peter Foukal, 2nd edition 2004 section 5.6 and table 5-3; Asplund, et al., 2009). We have known that the sun is composed mostly of hydrogen since about 1930 (e.g., Russell, 1929; Stromgren, 1932; Eddington, 1932). The fact that the sun is made mostly of hydrogen is crucial, since we also know that, counterintuitively perhaps, the continuum opacity of stellar photospheres is dominated by the H- ion (e.g., Wildt, 1939; Massey & Bates, 1940; Chandrasekhar, 1945, a 5-part paper, all parts linked from this page; John, 1988; John, 1994; The Observation and Analysis of Stellar Photospheres by David Gray, 3rd edition 2005, pp. 154-157; Solar Astrophysics by Peter Foukal, 2nd edition 2004 section 5.3.2, pp. 149-150). Finally, there is quite good enough agreement between helioseismological observations, solar neutrino observations, and the standard astrophysical models of the sun, such that all of Mozina's alternate hypotheses are excluded with confidence (see, e.g., Bahcall & Ulrich, 1988; Bahcall, Pinsonneault, & Basu, 2001 and citations thereto for both papers).
Clearly, if we pick an unrealistic mix of elements, we get an unrealistic opacity as a result. 90% neon means a lot fewer H- ions and, perhaps, a lot less opacity. So if we find that the Mozina mixture is indeed much more translucent than we are claiming for the photosphere here, so what? Since the chosen mixture is very unphysical, so will the low opacity be representative only of the Mozina sun, as opposed to the real sun we look at. It will still remain to show that there is observational support for the Mozina mixture, and some objective reason not to believe the standard mixture, which has been built up over 80 years of careful observations of the sun. I suspect that Mozina will be as incapable of supporting his alternate hypothesis for the solar chemical abundances as he is incapable of just about everything else, but we will see.
From 22 April 2010
Foukal's semi empirical model runs from 3.18x10-7 at the base (9400 Kelvins) to 2.183x10-11 at the top (6150 Kelvins) and 2.249x10-7 at the 5790 Kelvin level, in gm/cm3 (Solar Astrophysics, Peter Foukal, 2nd revised edition 2004; table 5-2 page 153). Electron density ranges from about 1015 at the base to 1011 at the top, in e-/cm3.
So to match the 5800 Kelvin layer, one might want about 10-7 for mass density and 1013 electron density, the latter being I think more significant than the mass density due to photon scattering off the free electrons.
From 19 July 2009
You already asked and I already answered.This sounds like one of those mythical claims that cannot be demonstrated in a lab. Which experiment would you like to cite that demonstrates that a mostly hydrogen and helium plasma, with the density of the photosphere shows that these elements at this density and temperature have the ability to act like a 'black body'? I think you're making this up.
Where do you propose that one might build a 1000 km long plasma tube to contain the experiment? How do you propose to conduct the experiment, if and when it is built?
You constantly revert to an insistence on controlled laboratory experiments. But you yourself will reject even the most controlled of laboratory experiments, when they contradict your pre-conceptions, as you do with magnetic reconnection. So why should anyone be impressed by your insistence that other people adhere to criteria that you will not adhere to yourself?
And you fail to notice that some things cannot be demonstrated to your satisfaction in any conceivable controlled laboratory experiment. This is one example. Even a "thick" plasma, let alone a "thin" plasma, can be transparent or translucent under laboratory conditions, while being opaque in nature because nature exists on spatial scales that cannot be duplicated in any laboratory. The photosphere of the sun is on the order of 1000 km deep. So the concept at work here is what astronomers call column density. Even where the photosphere is "thin", with a hydrogen atom number density about 9x1012 atoms/cm3, a column of that plasma 1000 km long will hold 9x1020 atoms. A real photospheric column will hold rather more than that, since that is based on a minimum density, probably closer to 1024 or 1025 neutral hydrogen atoms. Is that "thin"?
I told you once before that "thin" is irrelevant. You don't believe me of course, but that's no surprise. But I'll say it again anyway. "Thin" is irrelevant, whether you like it or not. We call it "physics", and the key concept here is optical depth. The optical depth of anything depends not only on "thin" or "thick" (both of which you have yet to quantitatively define), but on the absorption coefficient of the material at the wavelength(s) of interest. A strong absorption coefficient means strong absorption, even in a "thin" material, while a weak absorption coefficient can mean weak absorption, even for a "thick" material. After all, ordinary glass has about 1,000,000 times the mass density of the solar photosphere, and is "thick" by colloquial standards, but totally transparent to eyeball wavelengths of light, while totally opaque at other wavelengths.
You must pay attention to the relevant physics, just as you demand of others to do the same, or you just wind up in a thread dominated by a sea of insults and minor conversations on unimportant points, as you are now.
You clearly don't have any idea what the words optical depth mean, so let me fill you in. It's nothing more complicated than the absorption integrated along the path length. Every plasma has a path length. Every plasma has a wavelength dependent absorption spectrum. Therefore every plasma has an optical depth. It is therefore a necessary consequence of the laws of physics that if the optical depth is high enough then no photons at all will transmit through the plasma along the given path length. If you're going to tell me that sounds like something I just made up I am going to laugh in your face in a very insulting manner because it is a very insultingly stupid thing to say.
That post pointed out that a column of photosphere plasma about 1000 km long would hold at minimum about 1021 to 1025 atoms. This is called a column density in astrophysics and it is an important concept to keep in mind. It is not the volume density that is important in deriving the opacity of a gas or plasma, but rather the column density along the line of sight between the observer and the source of radiation. If the path length is large enough, even a small volume density can add up to a large column density, which can in turn lead to a large opacity or optical depth along that line of sight. That's why stars like the sun exhibit limb darkening, because the longer path length leads to a larger opacity. The same effect leads to red sunsets on Earth, where the longer path length creates a larger opacity for shorter wavelength light (i.e., blue) and scatters it out of the line if sight, so only longer wavelength (i.e., red) light can get through.
As you can see, with Mozina it's always deja vu. But once again, Mozina contradicts Mozina, so which Mozina are we supposed to believe (if either)? As I said above, even the thinnest part of the photosphere has a hydrogen atom number density about 9x1012 atoms/cm3. Mozina today has referred to it as "a wispy light plasma", and two years ago as "far too thin". He continues to insist that the photosphere plasma is too thin to act as a blackbody. However, he seems to have no problem with the interstellar plasma acting as a blackbody. So how "thin" is the interstellar plasma compared to the photosphere? The answer was posted only a few days ago.
To begin with, photons scattering off of a plasma can produce a thermal spectral energy distribution (SED) for the photons only if the plasma is extremely dense (e.g., a stellar interior, where the particle densities are on the order of 1025 particles per cubic centimeter; that's about 100 gm/cm3 mass density, typical for the sun), which makes the photon mean free path very short and the collision frequency between photons & particles very high. However, in the average interstellar medium, while you might get 105/cm3 in a dense (and primarily neutral) molecular cloud, the far more common and far more sparse interstellar plasma will sport something like 10-4/cm3, and the even more sparse intergalactic medium, you might be as dense as 10-7/cm3. There is simply no way in creation you will ever get a thermal SED from photons scattering in such a sparse plasma. So your hand-wavy arguments about scattering have a lot more to do with wishful thinking than it does physics. Furthermore, to make matters even worse for you, the CMB not only has a thermal SED everywhere on the sky (or so it appears, even allowing for problems in removing the Milky Way foreground), but it has the same temperature everywhere on the sky, within about +/- 0.001 Kelvins. A scattering explanation for those two simultaneous facts will require you to wave your arms around so vigorously that you will fly away.
So, according to Mozina, the photosphere is far too thin & wispy to produce a blackbody spectral energy distribution (SED) by scattering sunlight. However, also according to Mozina, the interstellar plasma, which is about ten thousand trillion times thinner, will produce a blackbody SED by scattering starlight with an energy density about a trillion trillion times smaller than the energy density of the sunlight scattered by the photosphere. Surely this must be Mozphysics at its finest!
I see Mozina is back discussing his pretend science.