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Devin-M
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This started as an astrophotography question and morphed into a thermodynamics question & it was suggested to start a new thread in Thermodynamics.
Essentially the question is how do I reconcile the behavior of particular infrared photodetectors with the 2nd Law of Thermodynamics?
For example suppose I take a well-insulated tank of room temperature (300k) water and lower in a PN junction HgCdTe infrared photodetector (also at room temperature, 300k) operating in Photovoltaic mode with zero applied bias voltage. Water at 300k has a black body spectrum which includes the emission of 3.5 micrometer infrared light. IR detectors made from HgCdTe (operating at 300k) in the paper linked to below exhibit "current responsivity" when absorbing infrared radiation, also at 3.5 micrometers (with 0v applied bias voltage).
If I can generate any current from the black body radiation of room temperature water with an HgCdTe IR detector, also operating at 300k with 0v bias voltage, how do I reconcile it with the 2nd Law of Thermodynamics? I thought I shouldn't be able to produce any useful work from a heat reservoir which initially has no temperature gradient.
https://www.researchgate.net/publication/343856156_Higher_Operating_Temperature_IR_Detectors_of_the_MOCVD_Grown_HgCdTe_Heterostructures
https://www.speakev.com/cdn-cgi/image/format=auto,onerror=redirect,width=1920,height=1920,fit=scale-down/https://www.speakev.com/attachments/5000b9e5-011d-4ef0-af59-bedb15ff822e-jpeg.156575/
https://www.speakev.com/cdn-cgi/image/format=auto,onerror=redirect,width=1920,height=1920,fit=scale-down/https://www.speakev.com/attachments/94567243-aafc-4537-af56-e65cc0fd1755-jpeg.156576/
Black body spectrum of room temperature (300k) water:
https://www.speakev.com/cdn-cgi/image/format=auto,onerror=redirect,width=1920,height=1920,fit=scale-down/https://www.speakev.com/attachments/aea0d9fd-14b5-4308-a81c-f5fb6ef06d83-png.156577/
Quotes from the original discussion:
Essentially the question is how do I reconcile the behavior of particular infrared photodetectors with the 2nd Law of Thermodynamics?
For example suppose I take a well-insulated tank of room temperature (300k) water and lower in a PN junction HgCdTe infrared photodetector (also at room temperature, 300k) operating in Photovoltaic mode with zero applied bias voltage. Water at 300k has a black body spectrum which includes the emission of 3.5 micrometer infrared light. IR detectors made from HgCdTe (operating at 300k) in the paper linked to below exhibit "current responsivity" when absorbing infrared radiation, also at 3.5 micrometers (with 0v applied bias voltage).
If I can generate any current from the black body radiation of room temperature water with an HgCdTe IR detector, also operating at 300k with 0v bias voltage, how do I reconcile it with the 2nd Law of Thermodynamics? I thought I shouldn't be able to produce any useful work from a heat reservoir which initially has no temperature gradient.
https://www.researchgate.net/publication/343856156_Higher_Operating_Temperature_IR_Detectors_of_the_MOCVD_Grown_HgCdTe_Heterostructures
https://www.speakev.com/cdn-cgi/image/format=auto,onerror=redirect,width=1920,height=1920,fit=scale-down/https://www.speakev.com/attachments/5000b9e5-011d-4ef0-af59-bedb15ff822e-jpeg.156575/
https://www.speakev.com/cdn-cgi/image/format=auto,onerror=redirect,width=1920,height=1920,fit=scale-down/https://www.speakev.com/attachments/94567243-aafc-4537-af56-e65cc0fd1755-jpeg.156576/
Black body spectrum of room temperature (300k) water:
https://www.speakev.com/cdn-cgi/image/format=auto,onerror=redirect,width=1920,height=1920,fit=scale-down/https://www.speakev.com/attachments/aea0d9fd-14b5-4308-a81c-f5fb6ef06d83-png.156577/
Quotes from the original discussion:
Devin-M said:Core of Andromeda Galaxy, 2.5Mly
2130mm f/14.2 29x 90sec (43.5min) 6400iso, Bortle 2
View attachment 295965
It’s been a while since I’ve taken any astro-photos (its been cold, cloudy and rainy for quite a long time.) I managed to find a break in the clouds last night while the moon was down and captured this photo of the core of Andromeda Galaxy, which is around 2.5 million light years distant. I shot using a 150mm diameter Meade Maksutov Cassegrain on a Star Adventurer 2i mount with some modifications to go probably 3x over the weight limit with a Nikon D800 camera body. I aimed the telescope by taking test shots and plate solving through a website on my phone and then making adjustments. I used the 29 best images although I think I got around 60 total, only about half had round enough stars with 90 second exposures at this focal length on this mount. My bortle 2 dark sky location is near Shingletown, California.
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Devin-M said:Quick question... Sometimes I shoot dark calibration frames to remove noise from the final image on the way home (for example I might take 10x shots of 5min each at 6400iso with the lens cap on). Because I'm too impatient to wait around at the cold, dark sky location, the camera is heating up from for example 35F (outdoor temp) to 70F in the car while I drive. This results in the amount of noise in each dark frame increasing as the temperature of the camera increases, as seen in the animation below. My conceptual understanding is the photodiodes in the CMOS sensor are operating much like solar panels, and are somewhat sensitive to infrared light while taking exposures even when the lens cap is on. My question is can solar cells or CMOS sensors convert infrared light into electricity, and if so how does that reconcile with the 2nd Law of Thermodynamics? For example, I thought I shouldn't be able to extract useful work from a single temperature reservoir... but if a solar panel can convert infrared light into electricity, isn't it extracting work from a single temperature reservoir (suppose it's immersed in an insulated tank of water as a heat source)?
https://www.speakev.com/attachments/13c208ea-b300-4a24-a496-9e9f9fae4c25-gif.156383/
Drakkith said:You will almost certainly get better results by shooting your darks in concert with your lights. Shoot a couple of light frames, then shoot a dark, then a few more lights, then a dark. Rinse and repeat. The better the temperature match, the better the dark frame subtraction.My understanding is that it's the thermal motion of the electrons in the sensor that leads to the generation of dark current, not IR radiation. A single IR photon doesn't have enough energy to cause an electron to jump the energy gap, but a lucky collision/interaction between several electrons/ions can give an electron enough energy to jump the gap and into the area of the pixel well that stores the photoelectrons prior to readout.
No. Prior to exposure the pixel wells undergo a charge separation process that puts them in a high-energy state. Photons, or random interactions from thermal motion, cause electrons to jump an energy gap and get caught in this charged well. Given enough time or photons the well becomes completely saturated and can no longer collect charge. You won't extract more energy out of this than it took to separate the charges in the first place.
A solar panel operates somewhat differently and I don't really know enough to explain it well. However, I do believe that the solar panel needs to be at a lower temperature than the emitting object it is capturing radiation from. Besides, the solar panel itself and the surrounding environment is a temperature reservoir, so there's more than one.
collinsmark said:An alternative that you might want to try in your off time (i.e., a cloudy night), is to realize that you can reuse DARK frames (for the given camera). Take your camera and an accurate thermometer outside and let the camera the acclimate to the outside temperature. Once the camera is in thermal equilibrium, start taking DARKs. Lots of DARKs.
Vary the exposure times in a controlled, roughly exponential way -- exposure times that you might likely use for your LIGHT frames. For example, 40 sec, 60 sec, 90 sec, 120 sec, 180 sec, 240 sec, 300 sec, etc.
The whole while, keep meticulous records of the ambient temperature. Also keep a record of the camera's ISO setting you are using for each dark (only use ISO settings that you would use for LIGHT frames). Sit down, have a beer in the cold. This will take a while. Maybe have two beers. Repeat as much as you can. As the night continues, the temperature is likely to drop, so you should expect to have several different temperature points for your DARK frames.
Later, organize these DARK frames. Rename each DARK frame such that it has
in the file name.
- Specific camera taking the photos
- ISO setting,
- Exposure time,
- Temperature for that particular dark frame, and
- Some unique identifier so you don't accidentally overwrite existing DARK frames
Repeat the next cloudy night. Put the camera in the refrigerator and repeat there too. If you live in a cold climate, and foresee yourself taking astrophotos in really cold weather, try the freezer as well.
Eventually, you'll have a DARK library with many frames for each particular ISO setting + Exposure time + temperature. Ideally, you'll have many DARK frames for each combination. Organize these on your comptuer. Once you have that, all you need to do when taking LIGHT frames is to record the temperature at the time (stash your thermometer in your camera bag), and your corresponding DARK frames will be waiting for you at home.
(Of course, the data is specific to the specific camera. You cannot share DARK frames between cameras.)
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For personal reference, I have a few cooled cameras (dedicated, astrophotography cameras). Having a temperature controlled camera makes the process a lot easier. But even then it still takes a while. Whenever I get a new cooled camera, the first thing I do set the camera next to the computer and let it take DARKs for days. Literally days. But once it's done I don't have to take DARKs again for maybe a year or two. And I only use 2 temperature settings (0 deg C and -5 deg C).
Devin-M said:Could you comment on the graph on this webpage… I might be misinterpreting it but I believe graph (a) shows a particular detector which is at 300k (~80F) operating temperature generating current from mid-infrared light up to 4000 nanometers with zero bias, which I take to mean the detector is operating in photovoltaic mode with no outside voltage applied…
https://www.researchgate.net/figure/a-g-The-spectral-responsivity-measured-at-zero-bias-ie-photovoltaic-mode-for-the_fig3_346511011View attachment 296153
“(a)-(g) The spectral responsivity measured at zero bias (i.e. photovoltaic mode) for the Te-hyperdoped Si photodetector at different temperatures. The room-temperature spectral responsivity of a commercial Si-PIN photodiode (model: BPW34) is included as a reference (brown short dot). (h) Illustration of the below-bandgap photoresponse in the Te-hyperdoped Si photodetector. Te dopants introduce deep-level states (intermediate band) inside the Si band gap, which facilitate the absorption of photons with sub-bandgap energies. Process I: VB to CB (Eph ≥ Eg); Process II: VB to IB (Eph ≥ Eg-ETe); Process III: IB to CB (Eph ≥ ETe, only measurable at low temperatures where the thermal contribution is neglected).”
Drakkith said:Not really. I'm not an expert in the area of photodetectors and solid state physics and such. I'll try to remember to give it a read tomorrow or the next day if I can, but I might not have time.
Drakkith said:Quickly skimmed through the article just now. I come to the same conclusion as you.
Note that at 300K an object barely emits any radiation in the 1-5 micrometer range. You have to get warmer for that. You can use the calculator here to see the spectrum emitted by an object at a given temperature. Use 1 micrometer as the upper limit and 5, 10, or 20 as the lower limit to get a good looking graph of the region of interest.
Devin-M said:Thanks for the calculator! According to its output, with inputs for the emissivity of water (0.96) at 300k (~80F), ordinary room temperature water is emitting some blackbody infrared radiation from 3-4 micrometers— at wavelengths the “Te-hyperdoped Si photodetector” also @ 300k can generate current from in photovoltaic mode… I must be missing something because why couldn’t I just generate a small amount of electricity by submerging these room temperature photodetectors in room temperature water to harvest the 3-4 micrometer infrared black body radiation photons by photovoltaic means? Wouldn’t that conflict with the 2nd Law of Thermodynamics? I shouldn’t be able to generate any useful work from a single temperature reservoir, was my understanding.
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Drakkith said:That I can't answer. I'm certain the 2nd law isn't being violated, but I couldn't tell you how or why it isn't.
collinsmark said:Maybe I'm missing something myself. But It's my understanding that you couldn't generate any electricity by simply submerging the photodetector in water because there wouldn't be a light source in that situation.
View attachment 296237
It's my understanding of the test setup that the photodetector is placed and held at a given temperature, then it is exposed to a light source of a specific wavelength and specific intensity (with a proportional power reaching the detector, measured in Watts) and the current of the photodetector is measured (measured in milliamps). That is used to generate a single point on a single graph. For any given situation (wavelength of the light source and temperature of the photodetector), the current of the photodetector is proportional to the power of the light source. Which is why the measurements are in units of mA/W.
At least that's my understanding. The power is ultimately coming from the light source. The 2nd Law is not violated. The current vanishes as soon as you turn off the light.
Devin-M said:A 300k (80F) black body emits some infrared between 3 & 4 micrometers, which is in the detection range of the photodetector.
View attachment 296248
berkeman said:Should some of this side-discussion be split off into the Thermodynamics forum?
collinsmark said:Yes, but the photodetector is also emitting infrared too -- the same amount that it receives when its own temperature is at 300 K, along with everything else in the surroundings being at 300 K, and when no external light source is present. Without the presence of the external light source the net current is zero. At least that's my understanding.
I don't know the test setup, but here's how I imagine it:
A broadband blackbody radiation source is involved; an incandescent bulb will do. The light from the source passes through a slit followed by a diffraction grating, thus splitting up the light (including infrared light) into a spectrum. The intensity along the spectrum is measured and calibrated (perhaps with a small, calorimeter device). With this information, the light intensity along specific wavelengths of the spectrum is known.
The photodetector can then be placed along the spectrum for measurements. Changing the wavelength is just a matter of moving the photodetector spacially to a different part of the spectrum produced by the light source + diffraction grating.
But again, if I'm imagining the setup correctly, the current in the photodetector will vanish when the light source is turned off.
**** Edit *****
Reading into the research paper a little more (https://www.researchgate.net/publication/346511011_Silicon-Based_Intermediate-Band_Infrared_Photodetector_Realized_by_Te_Hyperdoping), it states in the Device Measurement seciton: "A Globar (SiC) source coupled with a TMc300 Bentham monochromator equipped with gratings in Czerny-Turner reflection configuration was used as the infrared monochromatic source. Its intensity is spatially homogenized and was calibrated with a Bentham pyrometric detector."
The "TMc300 Bentham monochromator" utilizes a diffraction grating turret. So my imagined setup, albeit a bit simplistic, was conceptually accurate.
****************That sounds like a good idea to me.
collinsmark said:I would suggest, if @Devin-M agrees, for @Devin-M to create a new thread in the appropriate forum (Thermodynamics?) with basically a copy-and-paste copy of Post #1558 as the original post.
Then copy over posts #1561 - Onward, to the new thread. The other posts are good for the astrophotography thread.
Post #1559 by @Drakkith is a toughy though; that post could go either way.