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Lxrduy , in Why are the graphs for the distribution of light from the Sun as a function of (a) frequency and (b) wavelength not exactly reversed?

I would assume that the difference comes from the fact that the same intervals of light will correspond to intervals of different length when plotted by frequency vs when plotted by wavelength, thus making one of them appear higher, while the other is just wider

BackOnMyBS OP ,
@BackOnMyBS@lemmy.world avatar

Why would the intervals be different?

Lxrduy ,

What I mean is that, for example, the interval from 1eV to 2eV has the same length as the one from 2eV to 3eV, yet they correspond to the intervals from 1/2 to 1 and from 1/3 to 1/2 (dropping units and constants), which have different lengths.

BackOnMyBS OP ,
@BackOnMyBS@lemmy.world avatar

oooHHHhhhh! Then, does that explain why the wavelength one has a long skewed right distribution while the frequency one has more of a slope in the other direction if we adjust the scales to match the x-axis on colors?

Fermion , in Why are the graphs for the distribution of light from the Sun as a function of (a) frequency and (b) wavelength not exactly reversed?

In a vacuum c=nu*lamba or the speed of light is equal to the frequency times wavelength. So nu=c/lamba. If you plot 1/x, you don’t get a straight inverse line. You get a multiplicative inverse. So not only is the data flipped, but it also has a distortion that will compress portions and stretch others.

As to why the functions peak at different colors, I believe this is due to an oddity in the axis units. Notice how the irradiance is in W/m^2/nm in the first and W/m^2/THz in the second. Are you familiar with histograms? Think of it like binning the power intensity per nm bin and power intensity per THz bin. Since THz and nm are inversely related, the width of the bins is changing when the basis is changed. This leads to another stretching in the data that is less intuitive.

BackOnMyBS OP ,
@BackOnMyBS@lemmy.world avatar

the width of the bins is changing when the basis is changed.

Thank you. Why would they compress/decompress based on how light is measured? I would assume that the x-axis would reflect the same range of light regardless if the light is measured by length or frequency. Why give different ranges of light?

count_of_monte_carlo ,

The x-axis range spans the same region of “photon energy” space in both plots. The data starts at about 280 nm in the first plot, which is 1000 THz (the maximum value in the second plot).

The stretching effect caused by working in different x-axis units is because the units don’t map linearly, but are inversely proportional. A 1 nm wide histogram bin at 1000 nm will contain the histogram counts corresponding to a 0.3 THz wide region at 300 THz in the frequency plot. Another 1 nm wide bin at 200 nm will correspond to a 7.5 THz wide region located at 1500 THz in the frequency plot.

You can get a sense of how this works just by looking at how much space the colorful visible light portion of the spectrum takes up on each plot. In the wavelength plot, by eye I’d say visible light corresponds to about 1/6 the horizontal axis scale. In the frequency plot, it’s more like 1/4.

That normalization is necessary because otherwise exactly how you bin the data would change the vertical scale, even if you used the same units. For example, consider the first plot. Let’s assume the histogram bins are uniformly 1 nm wide. Now imaging rebinning the data into 2 nm wide bins. You would effectively take the contents of 2 bins and combine them into one, so the vertical scale would roughly double. 2 plots would contain the same data but look vastly different in magnitude. But if in both cases you divide by bin width (1 nm or 2 nm, depending) the histogram magnitudes would be equal again. So that’s why the units have to be given in “per nm” or “per THz).

Limonene , in Why are the graphs for the distribution of light from the Sun as a function of (a) frequency and (b) wavelength not exactly reversed?

There are 2 reasons:

  1. Those two graphs have different scales on the y-axis. One is Irradiance per nanometer of wavelength, and one is Irradiance per terahertz of frequency. Both graph’s y-axis are called “spectral irradiance”, despite being different things. This causes most of the distortion between the two graphs, and can even change the location of the absolute maximum.
  2. The graphs’ x-axis have different units. This causes some distortion too, but wouldn’t change the absolute maximum. It would help if they used a log scale in both cases, because wavelength and frequency are inversely related, so then the graphs could just be horizontally flipped.

So, look at the top graph (by wavelength), and see how much power is in that 1000-2000nm area. It’s still a lot, just spread out over a large area. It’s the same amount of power in the lower graph (by frequency) shoved into the much smaller area from 150THz to 300THz. Since it’s in a smaller area on the lower graph, it has more power-per-unit-of-x-axis.

BackOnMyBS OP ,
@BackOnMyBS@lemmy.world avatar

Thank you. I understand most of your comment, and it makes sense. However, I still don’t understand how the change of units in the y-axis would cause a different maximum. It seems to me that the y-axis for both use the same formula with their respective x-axes: W/m^2/x.

I’m not in STEM by the way.

Limonene ,

It’s because the wavelength and frequency are inversely related. When the wavelength is low and the frequency is high, the wavelength is also moving very slowly, compared to the frequency which is moving very quickly. Since the frequency is changing so quickly, the power-per-unit-frequency is lower at higher frequencies, and higher at lower frequencies (at least relative to the power-per-unit-wavelength).

Let me try and use a car analogy:

You’re driving home through Wisconsin, and you live on the border between Wisconsin and Minnesota. The mile markers on the road decrease as you go, reaching 0 at the state border, where you happen to live.

The cows along the highway are evenly distributed, so if you count the cows as you drive, but restart your count every mile when you see the mile marker, you will reach the same number of cows every mile.

Now, the frequency is inversely related to the mile number. The frequency in this case refers to your children in the back seat asking, “Are we there yet?” They know damn well how far it is to home, because they can just look at the mile markers. Regardless, their rate of asking increases as the mile markers go down. When you’re at mile marker 100, they ask once every 10 minutes. When you’re at mile marker 1, they ask 10 times per minute.

If you instead look at the number of cows between “Are we there yet?” asks, then you will find that the cows-per-ask is much different from the cows-per-mile. At high distances (low frequencies), the cows-per-ask is very high, while at low distances (high frequencies), the cows-per-ask is very low.

Now, the article is looking at power-per-unit-frequency, so you’d actually have to measure the rate in change of how often the kids ask “Are we there yet?” And that would give you a little different result. You might need calculus to correctly calculate the derivative of the number of asks. But hopefully this illustrates that you can get different results, by using a different per-thing to measure your value.

Kethal ,

This covers it all well, but I think a simple explanation is that although “W/m^2/x” looks the same on the axes, it’s not the same. f=1/w, so one axis is W/m^2/f and one is W/m^2*f. The article makes a big deal out of the differences as if the x axis were the only difference, but they’re just very different things being plotted.

GlowHuddy , in Why are the graphs for the distribution of light from the Sun as a function of (a) frequency and (b) wavelength not exactly reversed?
@GlowHuddy@lemmy.world avatar

The frequency is not directly proportional to the wavelength - it’s inversely proportional: en.wikipedia.org/…/Proportionality_(mathematics)#…

Think of this as this: The wavelength is the distance that light travels during one wave i.e. cycle. Light propagates with the speed of light, so the smaller the wavelength, it means the frequency must increase. If the wavelength gets two times lower, the frequency increases two times. If wavelength approaches 0, then frequency starts growing very quickly, approaching infinity.

The plot is not a straight line but a hyperbola.

BackOnMyBS OP ,
@BackOnMyBS@lemmy.world avatar

Interesting. Sparked by your comment, I found this.

What’s the maximun frequency of light?

Approximately 2 x 10^43 Hz is the “Planck frequency” (the inverse of the Planck time). At that frequency, individual photons (or any other particle with this much energy) would be black holes (their Compton wavelength would be smaller than their Schwartzchild radius), and so until someone comes up with a theory of light which includes virtual black-holes, photons with a frequency above this cannot be considered sensible.

GlowHuddy ,
@GlowHuddy@lemmy.world avatar

wow TIL sth as well I guess

bitcrafter ,

I think that answer is a touch misleading because it makes it sound like this is a fundamental physical limit, when really it’s just the scale where our current theories break down and give nonsense results, so we don’t really know what is going on at that scale yet.

CanadaPlus , in ADP keeps running ads about solar flairs that force earth into a 25 hour day. Could a solar flair even do that, and what distasters would happen if Earth's orbit changed?

… What? No that’s crazy.

Cunningham’s law has already taken care of orbit vs. rotation, I see.

Aremel , in Attempting to freeze matter under extreme pressure?

You can get certain types of ice when you apply a certain temperature and pressure to water. en.m.wikipedia.org/wiki/Ice_IX

PaintedSnail , in Attempting to freeze matter under extreme pressure?

You might be interested in supercritical fluids, which are fluids at high enough pressures and low enough temperatures (but not high enough pressures or low enough temperatures to solidify) that they act as both a liquid and a gas: en.wikipedia.org/wiki/Supercritical_fluid

AmalgamatedIllusions , in Attempting to freeze matter under extreme pressure?

Most experimental research in matter under extreme pressures is concerned with recreating conditions within the interiors of planets and stars (this falls under the field of high energy density physics). The temperatures involved therefore tend to be very high. However, there’s no inherent conflict between high pressures and low temperatures, it’s just that temperature tends to increase when you compress something. Compress an ideal gas, for example, and it will heat up. Let it sit in its compressed state for a while though, and it will cool back down despite remaining under high pressure.

This is true for solids and liquids too (putting any phase transitions aside), though they are much less compressible. The core of the Earth will eventually cool too, though it’s currently kept at high temperature by the radioactive decay of heavy elements. Diamond anvil cells, however, can reach pressures exceeding those at the center of the earth in a laboratory setting, and some DACs can even be cooled to cryogenic temperatures. This figure on Wikipedia suggests cryo-DACs can be used to reach pressures up to 350 GPa at cryogenic temperatures. As an example, a quick search turns up a paper (arxiv version) that makes use of a DAC to study media at liquid nitrogen temperatures and pressures up to 10 GPa (~3% the pressure at the center of the Earth). Search around and I’m sure you can find others.

Hexagon , in What are the problems with Copenhagen interpretation?

Not an expert, but I’d say the wave function collapse. How does it happen, and why?

Jeredin , (edited )

As I’m also a non-professional, I’d like to use your your comment to add my experience with studying quantum mechanics:

From all my studies of both math and lab experiments, intuitively and likely in reality, matter at the quantum level is made of vibrations, oscillations and standing waves of “SpaceTime.” The amplitude, frequency, position, magnetic moment (spin/charge), temperature, pressure and other properties are what we measure and thus describe particles and emergent phenomena like phonons and other quasi-particles.

So this all seems simple enough, we have mathematical descriptions and tools to measure with, what’s this whole issue with “observation” and how how far do we need to take it?

My simple answer is: whenever you see “observer”, translate it to interaction. This can be anything, so long as it interacts with the quantum system being “observed.” But what does this really mean, why does it matter so much? Go back to our wave properties and understand that anything quantum that interacts with anything else quantum is actually introducing their own wave properties and thus, allowing quantum interactions. That is, it’s likely impossible to use something with quantum wave properties (which everything has) to precisely measure something else with quantum wave properties and not have some level of wave disruptions - in other words, we cannot have precise measurements because the closer your quantum measuring tool tries to measure another object’s quantum property, the more the interactions influence the results. The Copenhagen perspective, as I’ve come to orient my understanding, is a question of: does the math reflecting these wave interactions/measurements of them, only mathematically describe it, or do we take the math literally and call it reality?

There are those in both camps and especially as a non-professional, I join the camp that says it only mathematically describes reality. Keep in mind, relativity of all objects makes it so even the very conditions of the experiment can skew results; the quantum level is extremely sensitive to its wave environment and even in a vacuum, the zero-point energy field exists. Also, keep in mind that just because you can’t precisely measure a given property doesn’t mean that you can’t have very good measurements of most/all properties; it’s only a matter of how badly you need to precisely know any given property.

There’s obviously more nuance, but I think the key thing that I want to impart is not to take quantum mathematics to literally, but it’s the best description and predicting tool that we have for that level of physics.

troyunrau , in What is the lowest temperature of plasma ever achieved?
@troyunrau@lemmy.ca avatar

How much water…

Plasma is so low density, so the total heat capacity will be quite low. You’d need a lot of cold plasma to chill a very small amount of liquid water through freezing.

Remember that a plasma is an ionic gas, so it doesn’t have a specific temperature associated with it. It’s just a bunch of free charges (ions, electrons, protons). Assuming the bulk charge of the plasma is effectively neutral, then you have some limits on density. If they get too close to each other, they start binding to one another. At cold temperatures, it is much easier to collide and stick than at hot temperatures, so cold plasmas tend to be even lower density than hot plasmas.

Which means, it cannot absorb much energy, because there isn’t a lot of matter in it. Sure, you could cool something with it, but it would take a lot.

Brokkr , in Help me understand this effect

I’m guessing it’s an aluminum oxide abrasive? The abrasive is flourescing due to the little bit of uv coming out of the LEDs.

You might find this interesting, if you are grinding iron or steel then the grinding surface may not flouresce due to the iron bonding with the aluminum oxide.

9point6 ,

I saw “iron”, “aluminium” and “oxide” and I briefly assumed you were trolling until I looked again to check which one was the oxide.

troyunrau ,
@troyunrau@lemmy.ca avatar

This seems like a perfectly reasonable answer. OP! You could probably test this by changing the type of light you’re using. Try a red laser pointer as a control, and a black light wand (the sort they use to detect counterfiet bills), and see what happens.

Wogi OP ,

Sadly I have neither of these things available on hand to test that theory but I can at least confirm that the abrasive wheel is a ceramic alumina.

Actually NVM, I found a laser pointer and it has no effect, though it is admittedly quite dim.

troyunrau ,
@troyunrau@lemmy.ca avatar

Complete tangent, but alumina, aka aluminum oxide, is usually considered the second hardest naturally occurring material. When it is found in nature, it is given the mineral name corundum and is clear. But if there are some impurities in it, you can get colours. Red corundum is called Ruby, and blue is called Sapphire. In the beauty industry, the same material (mixed with magnetite) is called emery, and lends its name to emery board, and is used in nail files. In the tech industry, it’s used to make the extremely scratch resistant coating on most modern phone screens (basically nothing but diamond will scratch it).

You have subscribed to alumina facts. I’m sorry, the cat facts guy was busy.

Wogi OP ,

We also use emery paper to smooth out rough surface finishes on machined parts. None of my tools but some of the tools the other guys have in the shop use little Ruby beads as reference surfaces. Our wire EDM also uses Ruby for some critical parts.

You’ve been subscribed to machine facts, strap in it’s a bumpy ride

troyunrau ,
@troyunrau@lemmy.ca avatar

You. I like you.

Wogi OP ,

Fun fact, machinists do not have friends. Only mortal and natural enemies.

troyunrau ,
@troyunrau@lemmy.ca avatar

So… night shift?

Wogi OP ,

Well. SOMEONE’S gotta pick up day shifts mess!

troyunrau ,
@troyunrau@lemmy.ca avatar

Is there a machining community active somewhere on lemmy (yet)? I only dabble, but I like to sneak peaks at real folks fucking up, err, showing off their projects.

Wogi OP ,

sh.itjust.works/c/machinist

Not super active but we got shit to do

Ok that’s a lie but like we gotta LOOK like we got shit to do

CommunityLinkFixer Bot ,

Hi there! Looks like you linked to a Lemmy community using a URL instead of its name, which doesn’t work well for people on different instances. Try fixing it like this: !machinist

thantik ,

Works fine for me on a different instance. Maybe other instances should get their shit together instead?

Mango ,

Yo this is fascinating!

regdog , in Help me understand this effect

What effect are you talking about? Is there a frog clinging to the underside of that stone, and you try to coax him out with a flash light?

peto , in Would a mechanical counter pressure suit make you poop?

Probably not? I think the suit would have to hold all of you together to work otherwise you would risk parts of you following the waste.

I’m also pretty sure the vacuum doesn’t even top the list of things you need a space suit to protect you from. Eva suits do a lot of work.

CanadaPlus ,

In terms of engineering, it does. Micro meteorite protection and heat management can both be provided by normal garments. UV protection is obviously easy enough too. Breathing gas is a bit less convenient, but still not as tricky as making a suit that’s both rigid enough to reliably hold several PSI in and flexible enough to comfortably work in. That’s why the elastic suits are being researched like they are.

smuuthbrane , in Would a mechanical counter pressure suit make you poop?
@smuuthbrane@sh.itjust.works avatar

Your body IS being constantly pressurized by the atmosphere, and your various sphincters are used to that. Presuming the suit doesn’t pressurize your body beyond what it’s used to (at which point breathing would be difficult), there should be no unexpected anal excretions due to the suit.

Omacitin ,

But the pressure from the atmosphere applies to both sides of the sphincter, resulting in zero net pressure. Unless the suit actually does press against the outside of the sphincter like it does the rest of the body, I think OP’s concern about the suit squeezing you like a tube of toothpaste is valid.

Maybe the suit only applies a few PSI instead of the full 14.7, which it seems like one’s sphincters would be able to withstand.

PlasticPigeon ,

Toothpaste poop tube space man.

Definitely would watch.

Giving it 4 out of 7 stars.

CanadaPlus ,

I think it’s like a third of an atmosphere or something. Enough to comfortably achieve the same partial pressure of oxygen as normal Earth air, by providing it pure.

CanadaPlus , (edited ) in Would a mechanical counter pressure suit make you poop?

… That’s actually a good point. I’m guessing since the digestive tract is flexible and isn’t held open to the outside all the time, it wouldn’t cause problems with things deep inside. I also think it’s inevitable that if you did shit yourself in it, suction would kick in at some point and make it all a bit more dramatic. And then it would boil-freeze off into space, and be icy cold. That might still be better than pooping a sealed space suit, though.

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