Talk:Absolute zero

MIT Temperature discrepancy

At the top of the article, it's stated that in 2003 MIT reached "500 pK (.5*10^-9)", but at the bottom it says they achieved 450 pK (4.5*10^-10). I just realized the magnitude of the two is the same, but which value is it, 450, or 500? SpartanMurph117 (talk) 01:11, 31 January 2008 (UTC)

Early discussions

quick question: if phases of matter are determined by energy, and energy is measured by temperature, then, if absolute zero were acheivable, would'nt that create a new phase of matter?

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The article mentions that the "ground state" energy is not zero. I assume that it is refering to the Zero Point Energy (ZPE), which arises in the "particle in a box" problem and elsewhere. While it is true that the ZPE is non-zero, is it considered kinetic energy or some other form of energy? (MS)

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It is kinetic energy. You can solve for the velocity of the particle, and the answer is non-zero. (GJ)

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On a related note, at temperatures near absolute zero, atoms move very slowly. At absolute zero are the atoms completely stationary or is there some zero point vibrational frequency? (MS)

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For a particle in a crystal at low temperatures, simple harmonic motion is a better approximation. Again, there is non-zero velocity and kinetic energy in the ground state, except when the particle is instantaneously motionless at the extremes of the SMH. It was about 20 years ago that i knew a little quantum mechanics, so i can't quote formulae any more. Try an undergraduate quantum mechanics text book (sold mine long ago :-() (GJ)

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Finally, at least for the case of temperature defined in terms of the heat engine (Lord Kelvin's definition of temperature), where temperature is related to the efficiency of a reversible heat engine:

 efficiency = 1 - TH/TC

it is impossible to obtain a temperature below 0 K. If such a temperature were possible, it would be possible to develop a thermodynamic cycle that exhausted heat at that temperature. The result would be an engine with efficiency >100%, which violates the first law of thermodynamics. (MS)

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I think you mean 2nd law. I'm not sure if Kelvin's definition is one of the ones that allow negative temperature. Even if it does, the above reasoning might be faulty. At negative temperatures a lot of other things go negative or just plain weird. I called for real thermodynamicists here because my physics is now only half remembered and i am confused about some of these things. (GJ)

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Efficiency >100% means that you get out more energy than you put in. This violates the 1st law (yes, it also violates the 2nd law). In addition efficiency = 100% violates the 2nd law, except for the special case of reversible processes. Since in practice it is pretty much impossible to implement a reversible process, the 2nd law implies it is impossible to even reach absolute zero.(MS)

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Also, even for population inversion, isn't the ground state still defined as the lower energy of the two states?

--Matt Stoker

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Sometimes, sometimes not. In most practical lasers there are three or four relevant quantum states and the population inversion involves only two of them, not the ground state, and for a four level system not the highest. The negative temperature figure comes about only if you include only the atoms (or whatevers) in the two "inverted" states of the population inversion.

It is also possible to build a two level laser system, with the ground state being the low energy state in population inversion, but for various practical reasons these are a lot less fun.

The definition of temperature usually used for such systems is, derivative of entropy with respect to energy (perhaps multiplied by a constant for the system of units you are using). Adding energy to a system with population inversion actually decreases the entropy, and subtracting energy increases the entropy, hence negative temperature.

BTW for such systems, there are two good approximations to absolute zero. One is with all atoms in the low energy state. The other is with all in the high energy state (perfect population inversion).(GJ)

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I did a little reading from: <a href="http://www.google.com/search?q=cache:FJjlpW9h4es:math.ucr.edu/home/baez/physics/neg_temperature.html+absolute+zero&hl=en">Physics FAQ</a>

One important distinction is that the negative temperature, so defined, is for only one mode (eg. the nuclear spin mode). Thus, the entire system (i.e. all modes) still has a positive temperature. This is why such a negative temperature is possible without violating the 1st & 2nd laws of thermodynamics. It would not be possible to exhaust heat to only the negative temperature mode (other modes would still play a role), so T_C would still be >0 and efficiency < 100%. (MS)

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All those "billionths of a degree absolute" record holders are using this kind of definition of temperature, and they are applying to a specialised system such as "only the atomic nuclei in the material, and only for their temperature calculated with energy states in the magnetic resonance system i am running". Geronimo Jones

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Actually, no, the "billionths of a degree above absolute zero" record holders are defining temperature in terms of the velocity of the atoms (translational mode). Since the cooled particles are gaseous atoms, they have no rotational or vibrational modes. For this case nuclear modes should be negligible. They probably are neglecting electronic modes, since they have no way to measure them. This could be an issue, since they are using the momentum transfer associated with photon absorption to slow the moving atoms, which would result in electronic excitation. However, I am fairly certain the lifetimes of the excited electrons are short enough that on average the electronic energy is quickly redistributed to the translational mode via photon emission. In fact, I am pretty sure it is this energy transfer due to photon emission that limits the minimum possible temperature that is obtained (20nK). (I recently attended a lecture on this by William D. Phillips, who received the 1997 Nobel Prize in Physics for this work. He spent quite some time discussing this energy transfer, since the original theoretical calculations indicated a larger energy for the electronic transition than was actually the case and when the experiment resulted in a lower temperature than was theoretically possible they had to go back and revise the theory).

The application of this particular low temperature work is for atomic clocks, the accuracy of which are improved by using very slow moving atoms. Check the NIST website for details. --Matt Stoker

How can they have a gas at a few billionths of kelivns? Doesn't helium, the hardest element to condense, liquify at 4K? I could understand if they could stretch the condensation point down to 1 K or .1 K by playing with the volume, but even just down to a μK is a difference of 6 orders of magnitude. Especially with a gravitational field pulling the atoms toward the bottom of the tank, I couldn't see them getting anywhere near absolute zero without letting the gas condense.

Also interesting to note is that there are rotational modes available to single atoms. The problem is that the amount of energy necessary to access them is enormous compared to the energy involved in temperature. because of the quantization of angular momentum.--BlackGriffen

Check the NIST website [1] to be sure, but I believe the reason it is considered a gas and not a solid is that the sample consists of a very small number of atoms (on the order of ten or less) under high vacuum. In order for condensation to occur the atoms must collide and stick together. Under the experimental conditions collisions are fairly rare, so condensation takes a long time. In other words condensation is kinetically limited. Under some conditions, the scientists were able to observe formation of a Bose-Einstein condensate, so some form of condensation does occur. -- Matt Stoker

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It seems to me the definition given needs to point out that absolute zero is a theoretical temperature. It has never been ( & cannot be) attained. Article says

Absolute zero is the lowest temperature that can be obtained in any macroscopic system

--JimWae 23:15, 2004 Dec 2 (UTC)

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"Ideal gas has no volume and exerts no pressure?" Why it has no volume and can't exerts no pressure?

Because that's what the equations of an ideal gas says happens at 0 K. Ideal gases don't exist. 0 K?

So it should have been "would have no volume"... — DIV (128.250.204.118 05:52, 1 September 2007 (UTC))

No, "Ideal gas has no volume and exerts no pressure" is correct. The statement doesn't mean "If an ideal gas existed, it would have no volume," just as 0 K isn't "the temperature that would be the lowest." We cannot reach 0 K, and ideal gases don't really exist, but since they are defined terms, we can refer to them without using a counterfactual conditional. Alhead (talk) 07:27, 29 November 2007 (UTC)

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All known gases will liquefy before attaining a temperature of 0 K.

Is this really true? I was under the impression that helium needed some heavy pressure to liquefy at all - even at 0K. \Mikez 16:10, 14 Feb 2005 (UTC)

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at atmospheric pressures found at sea level, helium liquefies at 4k, but it has some unusual properties, and it is very difficult to attain that temperature with helium.

Ah, ok. I was thinking of solidifying :) That's another story. Thanks anyway :) \Mikez 17:58, 14 Mar 2005 (UTC)

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Huh?A system with a negative temperature is [...] hotter than infinite temperature? This reads like nonsense. Can anyone improve/explain this? --DLeonard 15:44, 2005 Jun 19 (UTC)

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a negative temperature cannot be a positive temperature 8-\

"All known gases will liquefy before attaining a temperature of 0 K. Is this really true? I was under the impression that helium needed some heavy pressure to liquefy at all - even at 0K. \Mikez 16:10, 14 Feb 2005 (UTC)"

helium liquifies at -269 degrees celcius*. But to become a solid, helium needed a pressure change. at normal pressure though, helium cannot become a solid. (MCC) =)

• In case you did not know this, helium becomes a ''superfluid''; all of its molecules move in the same direction, making it EXTREMELY smooth-flowing; it can even climb up the sides of containers.

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two requests. One is for a graph showing the extrapolation to absolute zero, the other is for some details (perhaps in another article) on how they get to absolute zero. Vicarious 23:43, 17 August 2005 (UTC)

I have added a reference to cryocoolers under "Cryogenics". Graph is a good idea. I will add it to my to-do list. Cutler 08:00, August 18, 2005 (UTC)

Edited intro

"It is an infinite number of orders of magnitude below any attainable temperature. It is by definition unachievable (after all, T appears in the denominator of many equations of thermodynamics), ..."

I can only speculate as to what an infinite number of orders of magnitude means. That absolute zero is practically unachievable is the third law of thermodynamics and not inherent in the definition. Cutler 17:41, 17 January 2006 (UTC)

There's a pretty good reason why it will be nearly or fully impossible to reach Absolute Zero: Since the uncertainty principle states that an electron's position cannot be plotted at a given moment, then at any

Theory

I started thinking about 100 Kelvin, if it exists; and I was wondering... When you start a particle vibrating, raising its temperature, its position in space decreases in size. If you could create such high temperatures that the particles poition in space is a singularity, its temperature zould be infinite, no? But if its position is a singularity, would it have the room to vibrate, to produce heat?

Um... first of all, a single particle does not have a temperature; see the intro to the article Temperature. Second, increasing the energy of a particle does not necessarily decrease its "size", and certainly not for a harmonic oscillator; see for example the figures in the article Quantum harmonic oscillator. You might be thinking of the uncertainty principle, which says something else. Melchoir 22:43, 27 February 2006 (UTC)

theory & practice

This article seems to lack, in many parts and aspects, a clear NPOV of the differences between the theory and practice.

The theory, the utopia, is essentially separated from the practice, the experiments. The experiments are just trying to prove the theory in practice, and should always be considered but without changing the theory itself. Rather adding rules as they are observed, not trying to add personal conclusions to it.

Quoting an example, from Absolute_zero#Kinetic_theory_and_motion, right on the first paragraph:

But this is contrary to experimental evidence, and it is predicted that helium will never solidify, no matter how much it is cooled or compressed.

It says "it will never solidify", instead of "it would never solidify". I know this looks small, but it's actually pretty bad. I'd change it to the following, but that's not the only problem with this (and many) articles:

Contrary to this, experimental evidence lead to predictions that helium would never solidify, no matter how much it is cooled or compressed.

Experiments happens all the time. There is no such perfect experiment. Today the zero absolute might be considered -273.15K (edit: I mean -273.15C). It wasn't always that number, and it can change again in the future. It resembles just like trying to predict the next digit in Pi without a computer. But this is even worst since there's no mechanism to predict what's the real absolute zero number. It could even not be a static number, since it's practical. Just like trying to say there is a solid and unique number for gravity, or light speed. There are just ways to deduce it through experimentation in a critical mass stage that we might never be able to know for sure what would happen if it goes 0.0001K less, for example.

Maybe absolute zero would be a completely different number in another galaxy, just like gravity and light speed change within different environments.

So, what's the definition for absolute zero? I think we all know what we mean by absolute zero once we understand thermodynamics, but it gets hard to put it in words that wouldn't collide with other physics definitions. I can use two definitions for it:

• absolute zero is a state of infinite energy within an universe (system wise).
• If temperature is the movement of molecules and if that movement keeps a balance between the ambient's energy and the body's (heating up one or the other while there is any acceleration, for example), by reaching the absolute zero those molecules would stop moving thus keeping all energy within the body and making no energy exchange with the ambient.

The first one is quite ambiguous, but I consider it to be quite right. Yes, it would imply a coexistence with an "opposite" temperature, but there is no opposite for zero. Adding to that it could be similar to saying it is "infinite entropy of a body" but that can lead to wrong physical conclusions again. And I know the second one must be too childish for physicians, but that's who I am right now.

--caue 10:36, 17 March 2006 (UTC)

Just one more thing: The current definition is also pretty good. I would just remove the word "macroscopic" from it:

Absolute zero is a fundamental lower bound on the temperature of any system.

--caue 10:36, 17 March 2006 (UTC)

Let's see...

1. There is no problem with saying "it is predicted that X will happen..." since it's still clear that a prediction is being made. Using "would" is grammatically incorrect.
2. Absolute zero is not -273.15K; it is 0K. If you meant −273.15°C, that's part of the definition of the Celsius scale, and so it cannot "change". Likewise, the numerical speed of light in meters per second is a definition and cannot change.
3. Where is your "infinite energy" definition coming from?
4. Actually, there is an opposite temperature to absolute zero; it is −0K, the hottest possible temperature. See negative temperature. This is just one use of negative zero.

Concerning the last two points, yes, physics can be wacky, but not too wacky. Let's not forget that we're bound by WP:NOR too. Melchoir 11:09, 17 March 2006 (UTC)

Cool, thanks for the input Melchior, that was very nice of you. I've enjoyed mostly that WP:NOR thing, and yes, I kinda often violate that rule without noticing. I think most of this comment of mine is basically going against it. I need to stop to think on what I write here before actually doing it sometimes... But I kinda do hope that wikipedia could become more than an encylopedia. While it's true it is a completely new concept, it's still very tightly bound to old paper encyclopedia concepts.

The -273.15K was my mistake. I meant Celsius, and while the definition can't change, both for that and for speed of light, the number can change since it's taken out of observations that could have been misleaded.

My "infinite energy" definition came from my understanding of absolute zero, and infinite and energy. Just as you said, clearly a comment that could have been put aside. When I wrote that, I was truly thinking the article is lacking of NPOV in many parts, and I was trying to explain both my point on the NPOV thing and why I think the article could be reviewed since I feel like it's not a good explanation of what absolute zero is. While I should review all that, I still didn't. And, once again, I could be wrong and be assuming more things than I should, since I'm using just logic and my weak experience while trying to get to empirical definitions without being careful. At least I knew I was going too far, that's why I decided to gather some opinion first, and yours were of great help to me, Melchior.

I'll just review all that later on and see if I can give some direction to the article as I first thought or just reconsidering everything I was imagining about this subject.

Oh, one more thing, I never meant "there is no opposite to zero absolute", I just said mathematically (I assume that a zero out of context, or even in physics, is always coming from maths definitions), there is no opposite for plain zero, that is it. But I also never knew there is a definition of opposite absolute zero, which is just obvious to me that it would exist, although it could actually be just two different ways to get to the same point.

And thanks again!

--Caue (T | C) 09:42, Sunday March 26 2006 (UTC)

Celsius conversions should be applied

I reckon that at least with the "low temperature records", a Celsius conversion should be applied, as Kelvin is used by physicists resp., in general, scientists only. A Celsius value (like -272.95 °C) would be far more imaginable for so-called "ordinary people" than the Kelvin value would. -andy 217.91.47.231 12:08, 7 April 2006 (UTC)

As far a general understanding goes, the difference between any temperature here and -270 °C won't affect the general understanding. I can see no benefit whatsoever of listing temperatures such as -273.14999999955 °C. Gene Nygaard 13:03, 7 April 2006 (UTC)

Source inaccuracy

I would just like to point out, that this listed as fourth reference on the page seems to be inacurate to the point of being pseudo-scientific nonsence.

"500 GHz is more than 250 times faster than today's cell phones, which typically operate at approximately 2 GHz."

When giving comparison of the clock speed of the processors in the article, it relates them to operating frequency ranges of cell phones. Obviously no processor in any modern cell phone runs at 2Ghz, but it is their band frequency. I think the segment that references the article and the article itelf should be removed from the page as grossly innacurate and misleading. Tani unit 13:54, 22 June 2006 (UTC)

Tani unit: You gotta forgive the New York Times because the Georgia Tech's press release uses similar language: Silicon-germanium transistor operates 250 times faster than average cell phone. Your opposition to the statement presumes a bit more than is directly stated in the Times article. The NY Times didn't say microprocessor chips; just chips. And this is technically true since there are solid-state devices within a cell phone that oscillate at 2 GHz in order to generate the RF. Having an entire microprocessor running at 250X these speeds and not vaporize into a flash of x-rays is quite an accomplishment. Given that the NY Times' article isn't factually incorrect still means it might be misleading to some, but it can't fairly be characterized as "grossly innacurate [sic]" as you stated. Greg L 22:12, 20 July 2006 (UTC)

I think the point here is that the statement is pretty much meaningless. It is an apples to oranges comparison, and while technically true, not enlightening in any way. —The preceding unsigned comment was added by 66.102.196.37 (talk) 04:46, 4 April 2007 (UTC).

The Boomerang Nebula: Event timing in the heavens

Glossando: Regarding your having converted the Boomerang Nebula paragraph to past-tense form (you justified doing so by stating in your Edit Summary in the History section that “we are viewing the existence of something as it was thousands of years ago”): This is confusing, unnecessary, and unsupportable. Unless an astronomy topic is directed strictly to the origins of the universe (such as the Big Bang or the Cosmic Microwave Background), relatively nearby events are always dated as Earth-receive time. For instance, Supernova 1987A and the 1054 supernova producing the Crab Nebula are events that are dated Earth-receive time. Supernova 1987 is said to have occurred 19 years ago. Any mention of when it "really" occurred is added parenthetically. This sort of distinction properly belongs in articles such as Light year (where it is undoubtedly covered in great detail). You also used past-tense language for the very existence of a heavenly object (the Boomerang Nebula) when you wrote “and existed in the constellation Centaurus” (my emphasis). While you are clearly very bright to have recognized how everything seen in the heavens is actually seen as it occurred at some point in the past, I sure wouldn't have gone out on such a limb as you did trying to emphasis this point; particularly since there is zero evidence that the Boomerang Nebula no longer exists or no longer is still (Boomerang transmission time) the coldest observable object in the heavens. This is about as logical as saying the Crab Nebula “existed” in the sky or that the Voyager spacecraft "used" to exist when they broadcast information (that takes many hours to reach Earth) regarding the edge of the heliosphere that also "used to exist". Greg L 20:47, 26 October 2006 (UTC)

Although I don't think mentioning something that only takes hours to view after it occurred is a good example to give to argue against something we are actually viewing thousands of years after it happened, I think what you are saying is fair enough. It would surely become too cumbersome to find the right past-tense wording every time we are speaking of such a thing that many light years away. I agree that sort of distinction more properly belongs in articles such as in Light year. --Glossando 21:39, 26 October 2006 (UTC)

Colder?

My friend says that you can get colder than absolute zero. I say you can't. Who is right? Tell me on my user page.(search my username)Caleb M. 23:19, 12 February 2007 (UTC)

You are. Maybe surprisingly, it is possible to have negative absolute temperature, a temperature that's a negative number on the Kelvin scale. But this is not extremely cold but rather extremely hot. --Trovatore 23:22, 12 February 2007 (UTC)

Appears that this page has be vandalized by 24.15.86.124 on 6 March 2007. The previous text needs to be restored. (I'm a new user and haven't learned how to do this properly yet). ExtonGuy 02:01, 7 March 2007 (UTC)

Accuracy?

I seem to only be able to find values to the fifth significant figure for absolute zero, at -273.15 degrees celsius. (I did see SOMEWHERE that it was -273.1569, but that's as much as I can remember. I'm not so sure about the numbers, but I do know that it should round to -273.16, not -273.15) However, there are many claims and validated reports from labs around the world that they have reached temperatures within a billionth of a degree of 0 K. Of course, if they do not know the exact value of 0 K to a billionth of a degree, shouldn't this be impossible?

Note: At my school there's a book we have with various scientific data values in it; I'm sure I could find the value for it somewhere. If I can't, however, then I'm going to be pretty baffled. Xander T. 12:41, 14 May 2007 (UTC)

> You are missing something there.It is -273.15C. By definiton. There is zero uncertaincy. Celcius was redefined, with this value as its base, just like the Ohm was shifted to the von-Klitzing constant, and the meter to (a factor of) the distance light crosses in a second in vacuum.

It would be useful to mention in a footnote what the value would have been under the old definition!

— DIV (128.250.204.118 06:05, 1 September 2007 (UTC))

Compression

What would happen if a load was applied to (say) hydrogen at absolute zero? Could it be compressed? Does it depend upon whether the substance has more than one (meta)stable state at that temperature? — DIV (128.250.204.118 02:57, 28 September 2007 (UTC))

What it actually is

Couldnt it say that absolute zero is the point at which the atoms stop moving entirely? Cause that's kinda what it is. —Preceding unsigned comment added by 74.135.7.26 (talk) 21:27, 20 October 2007 (UTC)

"Kinda" in the sense of "not really". See zero-point energy. --Trovatore 22:05, 26 October 2007 (UTC)

Shouldn't the intro say something in layman's terms also, something along the lines of "theoretically the coldest temperature that any object can achieve (although in reality, the laws of thermodynamics preclude actually reaching absolute zero)." Also some reference somewhere to the temperature of deep space in relation to absolute zero. The Yeti (talk) 12:35, 22 October 2008 (UTC)

Black Hole?

If a particle completely stopped moving and had no energy, wouldn't the electrons stop orbiting and be attracted and collide with the nucleus? Is this theoretically possible? and if so wouldn't it cause some sort of singularity or black hole type thing?71.190.143.208 22:02, 26 October 2007 (UTC)

The electrons don't stop moving. No, it isn't theoretically possible for the electrons to be bound to the nucleus and yet unmoving (in the sense of having zero expected momentum). --Trovatore 22:09, 26 October 2007 (UTC)

Absolute Zero, Relativity and Effects on Time

I had a few ( very amateur ) questions about absolute zero. It is my understanding that temperature is basically the lack of energy in space. Is it more complicated than that? Does energy effect time ( time / space )? Is mass = to energy? For a place with infinite energy will time stop and conversly at absolute zero will time travel very quickly ( infinitely fast? )?

Could it be because of time / space speeding up that we see the einstein condensate?

Would the heisenberg uncertainty principle in some way make it impossible to detect a state of absolute zero in a way that if we can detect the state we need to add energy to it?

--Tommac2 —Preceding unsigned comment added by 207.45.240.18 (talk) 15:16, 28 January 2008 (UTC)

Achieving absolute zero would require that time be stopped, which is a silly prospect. No energy, no time. E=Mc2 has time in it - if the mass is unchanged and the energy goes to zero, then time must stop. Time truly is the fourth dimension. —Preceding unsigned comment added by 137.186.251.55 (talk) 19:24, 6 February 2008 (UTC)

Intro section - researchers

Is it relevant to mention that MIT got to 500pK in 2003, when Helsinki University of Technology were more successful before then? Halsteadk (talk) 12:51, 20 April 2008 (UTC)

100 pK (moved from article)

100 pK is NOT 0.1 x 10-12 K by definition. 100 pK is 0.1 x 10-9K. — Preceding unsigned comment added by 69.149.122.92 (talk • contribs) 15:07, 7 June 2008 (UTC)

Relation with Bose Einstein Condensates

"...It is at this point the laws of thermodynamics become very important."
Surely the laws of thermodynamics are important at all temperatures? —Preceding unsigned comment added by 86.16.167.203 (talk) 23:02, 20 July 2008 (UTC)

The occurrence of BEC is not related to absolute zero. There are quite a few recent experiments on polaritons or magnons, which are in the room-temperature range, still produce BEC. The statement of this section is simply untrue. —Preceding unsigned comment added by V923Z (talk • contribs) 20:04, 29 November 2008 (UTC)

Definition

Wouldn’t it be simpler to say that absolute zero is the point at which there is no heat? —Preceding unsigned comment added by 71.107.132.94 (talk) 09:04, 22 September 2008 (UTC)

achieving absolute zero is irreversible and can cause mass vanishment

Possible effect of achieving the zero temperature could be:

irreversibility: Because of achieving *absolute* 0 temperature, we would be unable to force the "system" to move again. Because we would need absolure force to make it move. I suppose, that even all the energy of universe shouldn't be enough to reanimate the *frozen* system.

problems with artifical achieving: The system cannot be artifically frozen down to absolute 0 temperature. Because we add energy even upon measurement (the machine/lab should be absolute 0 temperature already, otherwise it will add an extra energy).

mass vanishment: The mass should vanish. Because of absence of movement in the elementary particles. Electrons, protons, neutrons, even quarks in the atomic nucleus. Even we could have obstacles to recognise electrons and/or quarks and other particles. Because of absence of movement, we could hardly determine their position. Thus we couldn't use electron bombing reactions or particle accelerators. In simply way, we would unable to recognise the mass, should it have absolute 0 temperature. —Preceding unsigned comment added by Janmojzis (talk • contribs) 21:38, 15 October 2008 (UTC)

Wouldn't the center of a black hole be at a temperature of absolute zero? —Preceding unsigned comment added by 75.118.152.31 (talk) 16:39, 16 October 2008 (UTC)

All that I said here, could be interpreted by this way: If we theoretically get a zero point energy particle, we must have frozen all the other particles around in entire universe already, because of laws of thermodynamics. —Preceding unsigned comment added by Janmojzis (talk • contribs) 19:31, 16 October 2008 (UTC)

Absolute zero in degrees Fahrenheit

"... and −459.67 degrees on the Fahrenheit scale" (Absolute zero)

"Absolute zero is −523.67 °F ..." (Fahrenheit)

Surely there must be something wrong here :)

Section on Guillaume Amontons is unclear

"...a column of mercury was sustained by a certain mass of air..."

What does "sustained" mean in this context?

"...the volume or 'spring' which of course varied with the heat to which it was exposed. Amontons therefore argued that the zero of his thermometer would be that temperature at which the spring of the air in it was reduced to nothing."

In other words, absolute zero would be the point at which the volume of air had "shrunk to nothing"? Wouldn't that mean that the mercury was expanding, the opposite of what it should be doing in the cold? I can't visualize what's going on here. Nine9s (talk) 00:11, 28 November 2008 (UTC)

Thermodynamics near absolute zero "Syntax Errors"

This section of the page is currently showing this text:

• At temperatures near 0 K, nearly all molecular motion ceases and Failed to parse (Cannot write to or create math output directory): \Delta S = 0 for any adiabatic process. Pure substances can (ideally) form perfect crystals as TFailed to parse (Cannot write to or create math output directory): \to 0. Max Planck's strong form of the third law of thermodynamics states the entropy of a perfect crystal vanishes at absolute zero. The original Nernst heat theorem makes the weaker and less controversial claim that the entropy change for any isothermal process approaches zero as TFailed to parse (Cannot write to or create math output directory): \to 0 —Preceding unsigned comment added by 72.204.113.140 (talk) 11:15, 8 December 2008 (UTC)

Inconsistency

Within the article it said "at absolute zero all molecular motion does not cease" yet I've heard from people and read through some of this article's own references and they say that at absolute zero all molecular motion stops. So which one is correct? Kev098 April 22, 2009

Unruh Temperature

InternetFoundation (talk) 00:46, 28 July 2009 (UTC)InternetFoundation

I tend toward the definition of absolute zero as zero kinetic (translational) energy. Energy is nuclear, electronic, vibrational, rotational, translational or externally provided. So an isolated system can have zero translational energy when all other types of energy are non-zero. Unfortunately this runs into some problems. Matter is generally made of many-nucleon nuclei and many-electron atoms and molecules. The atomic nucleus tends to have internal motions and states, just as the electrons of atoms and molecules have motions and states. So an atomic nucleus with no kinetic energy with respect to the observer will have a temperature of absolute zero. But it will not lose its binding energy, isomeric states, nor the kinetic energy of nucleons which for various reasons are considered to have high internal kinetic energy.

Seen from a distance, an atomic nucleus has a cloud of electrons, so the electrically neutral atom has electrons with high individual kinetic energy - even though the atom as a whole might be stationary. That is, for an observer, the neutral atom will be seen as stationary (zero kinetic energy), but the electrons will have motion (temperature) and the nucleons within the nucleas will have motion (temperature).

When the neutral atoms which make up solids are considered (corresponding to the mental model that people use when they think of a solid with a temperature), one must consider the motion of free electrons. The Fermi gas, Fermi temperature, Fermi pressure and related concepts were devised to estimate the properties of an electron gas in a lattice (solid matrix usually, though it does not have to be, it could just as well be a fluid, gas or plasma on a very short time scale). The Fermi temperature is finite and large - even at the zero of temperature. This gives rise to an apparent paradox, because the expression refers to the lattice as being at zero temperature.

In the article I added a comment about the Fermi temperature and this apparent conflict. I think it can be resolved by introducing a gedanken experiment where you observe the lattice and free electrons as the temperature of the whole is lowered. In my mind, there a clear contradiction if you hold the lattice and electrons by its center of mass with zero relative velocity (no kinetic energy or temperature with respect to the observer). Then, if you want to the electrons to be moving at a finite temperature (non-zero kinetic energy), you must allow the heavier lattice ions to move in their complementary orbits. In fact, for an electrically neutral piece of matter, you must allow the total momentum of electrons to be precisely the negative of the momentum of the ions, otherwise the whole thing will move and violate you original assumption that the whole is at rest. The kinetic energy associated with the electrons might dominate the total kinetic energy, but as long as the electrons are moving, the ions will not move. In the simple atomic hydrogen atom, the electron has a large orbit at high speed, but the proton does not sit still. Many people use an infinite mass approximation and imagine the proton is motionless (zero temperature), but in fact it is always moving in its own orbit.

The velocity of the electron in the Bohr model is approximately the fine structure constant times the speed of light or (1/137.035989)*(2.99792458x10^7) = 2.1877x10^6 m/s. Roughly, the proton is moving at this velocity times (me/mp = (1/1836.153) or 1191 meters per second. A proton at that velocity has a kinetic energy of (1/2)[[proton mass] * vp^2/electron charge = 7.4098x10^-3 electron volts. The corresponding temperature is taken from the relation (3/2)kT = (1/2)mv^2, so T = kinetic energy/3k where k is Boltzmann's Constant = 1.38066x10^-23 Joules/Kelvin. So the temperature of the proton in its orbit is about 28.7 Kelvin -- not very cold at all. The electron temperature can be taken from its velocity the same way and we come up with an electron temperature of 13.60569194 eV or 52,629.10801 Kelvin, where I am using CODATA values from the NIST Fundamental Constants database.

What I am trying to explain is that - in the context of the Fermi temperature, it is not appropriate to say that the lattice temperature is zero. Even if it is small, that is not zero.

Unruh Temperature, Vacuum Temperatures, Very Cold Regions

I introduced the Unruh temperature into the discussion of Absolute zero since it represents some of the lowest temperatures in any current experimental or theoretical research on the web.

InternetFoundation (talk) 01:02, 28 July 2009 (UTC)InternetFoundation

At Unruh Effect you will find the following - "The temperature of the vacuum, seen by an isolated observer accelerated at the Earth's gravitational acceleration of g = 9.81 m/s², is only 4×10-20 K. For an experimental test of the Unruh effect it is planned to use accelerations up to 1026 m/s², which would give a temperature of about 400,000 K. [2]"

Now, Unruh temperature is one of the lowest temperatures in current usage. Unruh suggests that bodies in relative motion, where the acceleration (second time derivative) is not zero, will see an associated radiation field at a certain temperature.

For an acceleration like the earth's surface, 9.81 m/s, the Unruh temperature is 3.978x10^-20 K. If an electron were this cold, then it would have a Compton Wavelength of h/sqrt(3*me*k*T) = 540.85 meters, and a proton at that temperature would have a wavelength of 12.62 meters. It electrons and protons were in intimate contact with the vacuum according to the local acceleration, they would see a very cold vacuum. And they would have rather long wavelengths and interaction distances. At one astronomical unit from the sun, the acceleration is G*Ms/AU^2 = 0.005932 m/s2. This gives an Unruh temperature of 2.41x10^-23 kelvin. At that temperature, the electron and proton wavelengths are 21.994 kilometers and 513 meters, respectively. Even a uranium atom will have a wavelength of 2.2 meters at such a low temperature. At on light year from a solar mass, the Unruh Temperature would be

Unruh's concepts (Unruh radiation and Unruh temperature) generalize work by Stephen Hawking and others on black hole radiation temperature. Large black holes radiate at very long wavelengths (very low temperatures). The wavelength of a massive object is estimated from the Compton wavelength based on its velocity and mass according to wavelength = Plancks Constant/(mass*velocity).

Far from matter, te

Trovatore's reply to Kevin

Answering Kevin: The claim that "all molecular motion stops at absolute zero" is simply incorrect. It's correct in the classical approximation, but according to quantum mechanics, it's just wrong. --Trovatore (talk) 22:20, 27 July 2009 (UTC)

Trovatore attempts to help a new contributor to this page

How do we fix this?

Click on the "history" tab for the talk page, and find the version that has the remarks you want to reproduce. Click on that link to see that version. Click on the "edit this page" tab to see the source. Don't save this version, just use it to copy the text into your computer's clipboard. Now click on the "discussion" tab to get back to the current version of the talk page, edit that, and paste the contents of your clipboard into the window. --Trovatore (talk) 00:27, 28 July 2009 (UTC)

I tried that, but several paragraphs were lost. I went through the history and could not find them. It seemed to be lost when I saved it. When I looked at the page you had just done an undo and that is all that shows.

By the way I found your home page and wrote to you by email. I am fairly sure I was not obnoxious or abusive. I just wanted to find out what to do. I was a bit upset to lose something I had spent so much time on. Is it better to just write everything off line? When everyone can edit everything, and (to me) random people can undo what you have just spent hours on, that is a pain. I do not want to become an expert on navigating the current tools of wikipedia. I would like to be able to add a bit here or there. If you check the internet you will see my notes from several years ago, I have been tracking developments in attokelvin regions for a long time.

InternetFoundation (talk) 00:34, 28 July 2009 (UTC)InternetFoundation

My guess is that you hit the edit-conflict page, and never actually saved those missing paragraphs, which is why they are not in the history. When you hit an edit conflict, you'll see two windows, one for the text as it currently exists in the database, and one containing your text. You need to do an intelligent merge manually, which can be painful, but this is the software as it exists.

As to how to deal with writing long essays in talk pages, in almost all cases, the answer is that you shouldn't be doing that in the first place. That's not what talk pages are for. Sometimes for a particularly complicated issue, it is necessary to write longer remarks than for simpler cases, but you need to remember that you'll have a strike against you before people even start reading. In some cases the answer may be to put an essay in your own user space (register for an account, then make a page called User:I am the person that I am/This is my essay. Even this can get people mad at you if you abuse it; WP is not your blog. But within reason this is acceptable. --Trovatore (talk) 00:41, 28 July 2009 (UTC)

It just happened to me again. I guess I will give up with this version of the software. I was making some minor edits above to clean up the mess I made. But where I pressed save it came back to this version again. All in all I lost several hours work today. What a pain.

I have seriously considered rewriting the core software for Wikipedia. It is this kind of stuff that is so off-putting. You are very kind, but my guess is the current structure and tools on wikipedia are wasting more than is getting contributed. That is my business to make those kinds of determinations. Oh well. I guess I wil abandon further changes. —Preceding unsigned comment added by InternetFoundation (talk • contribs) 00:51, 28 July 2009 (UTC)