Einstein's relativity rules chemical bonds in heavy elements, new research shows (brown.edu)
343 points by hhs 19 hours ago
gcanyon 5 hours ago
> The increased nuclear mass causes orbiting electrons to speed up to a significant fraction of the speed of light, where the rules of Einstein’s theory of relativity are important.
Fun fact: this is why mercury is liquid at room temperature. Its inner electrons move at close to 60% the speed of light, pulling in its outer electrons more tightly, making it harder for it to bond and be solid. (I am not a physicist, don't rely on my statements for your space ship design)
sigmoid10 4 hours ago
I guess the more interesting question is why this doesn't happen for neighbouring elements in the periodic table?
Laforet 3 hours ago
Relativistic effects are observed with many other 6th and 7th period elements. For example, the yellow colour of gold and caesium comes from altered electron energy levels due to relativistic orbital contraction, so are the special catalytic and bonding properties of platinum.
https://en.wikipedia.org/wiki/Relativistic_quantum_chemistry
gweinberg 33 minutes ago
gus_massa an hour ago
It also has an effect, it is a small correction in the energies and bounding. Sometimes it's enough to change the color or state, sometimes it's a correction like making it 1% softer or harder and is not interesting unless you are a specialist.
beacon294 3 hours ago
It would be the element underneath it which is synthetic. But it is interesting that all the elements in that row are soft or brittle in pre form or in some compounds.
amelius 3 hours ago
Meanwhile there are quarks inside every regular atom moving at speeds like 0.99995c ...
gcanyon 2 hours ago
Interesting -- does that have any macroscopic/real world impact?
moelf an hour ago
gigatexal 21 minutes ago
This is the coolest fact I’ve learned in a long time. Thank you!
kristianp 19 hours ago
> The increased nuclear mass causes orbiting electrons to speed up to a significant fraction of the speed of light, where the rules of Einstein’s theory of relativity are important.
> In the relativistic regime, an electron’s spin — the magnetic moment that points either up or down — and the electron’s orbit are no longer independent of each other, a state known as spin-orbit coupling.
Interesting stuff. I've never heard of sigma or pi bonds.
aaaronic 18 hours ago
Sigma and Pi bonds are typically covered in AP Chemistry, even if the “why/how” is hand waved pretty heavily. The valence cloud shapes get wild for heavier atoms and bonds between two or more atoms add even more to the mix.
nomel 18 hours ago
I had incredible difficulties with Chemistry, more than any other subject, because most everything was hand waved away, requiring mostly rote memorization. I could never get an intuitive understanding, partly because my profs seemingly refusing to think about things from a physics perspective. My physics prof was able to help with some of it. It was very odd.
If I would have stuck with it, would things have improved?
ajkjk 18 hours ago
scheme271 16 hours ago
adastra22 9 hours ago
SlightlyLeftPad 17 hours ago
abecedarius 18 hours ago
K0balt 3 hours ago
WillAdams 5 hours ago
aaaronic 18 hours ago
asdff 17 hours ago
pmarreck 6 hours ago
ahartmetz 8 hours ago
timcobb 18 hours ago
nsz65 16 hours ago
ahahs 18 hours ago
lacunary 18 hours ago
jona-f 9 hours ago
nickcw 5 hours ago
aduty 6 hours ago
marcosdumay 18 hours ago
whatever1 14 hours ago
rramadass 7 hours ago
loeg 18 hours ago
Granted I took AP Chem 20 years ago, but I don't remember those names (sigma and pi bonds) being covered at all. (I got a 5 on the test, for what it's worth.)
compass_copium 16 hours ago
timcobb 16 hours ago
bilsbie 5 hours ago
Could electrons orbit a neutron star if we gave it a positive charge?
terminalbraid 5 hours ago
Not in the sense that the electrons would be orbiting "outside" the star. Neutron stars are already a conglomeration of particles, including a sizeable fraction electrons that are effectively "squeezed out" of neutrons to have equivalent fermi energies. Any additional charge you add would immediately grab an "orbiting electron" into the existing system.
abcarey 3 hours ago
As written that sentence is wrong. The increased nuclear mass is not the cause of the effects. It's the increase in the nuclear charge and subsequent modification of the coulomb potential that is relevant.
nanolith 18 hours ago
Wait... wasn't it already understood that relativity influences electron orbits of heavy elements? I clearly remember being taught some of this in physics, in the mid-noughties.
For instance, we know that gold gets its color from relativistic effects.
Diogenesian 18 hours ago
Seems to be the first time this was confirmed via direct experimental observation of the orbitals:
“This idea that relativity is important in heavy elements has been around since the 1970s,” said Lai-Sheng Wang, a professor of chemistry at Brown and the study’s corresponding author. “But we show direct spectroscopic evidence that what we learned in high school about chemical bonding isn’t true in heavy elements."fsloth 6 hours ago
I came to the comments exactly for this ("wait I thought we 'knew' this already").
I'm so happy we have HN with likeminded people and no noise.
kergonath 8 hours ago
In general, yes. Spin-orbit coupling and relativistic effects in heavier elements is not new. A rather... significant elements where this was studied was uranium (and plutonium, of course). Even napkin maths show that for heavy elements, some of the electrons have relativistic velocities.
This discovery is about a (seemingly, I haven't been keeping up too much) new case of one specific bond in one specific ion. Do not read the university's breathless press release, go straight to the article. The third sentence of the editor's summary is "It’s long been clear that this model starts to fray when the atoms get heavy enough for relativity to come into play".
alkyon 7 hours ago
Yes, I was taught that relativity is a significant part of quantum chemistry equations in gold atoms 25 years ago. The idea is quite old and the title is misleading.
wasabi991011 12 hours ago
The article seems to be more specific, about relativistic effects in triple bonds
colechristensen 16 hours ago
The Dirac equation which is the equation for describing the wavelike behavior of electrons. It predicted the existence of antimatter and particle spin.
You start with the Schrödinger equation, add relativity to get the Klein-Gordon equation which is a mess because it's second order in time involving negative probabilities, if you in ways "take the square root" of it you get the Dirac equation.
Relativity has been part of the understanding of electrons since 1928.
alok-g an hour ago
Thanks for the insights. I am interested in learning all this stuff. Am currently going through just Schrodinger's Equation. Do you have book recommendation(s) that include insights everywhere just like what you shared? Thanks.
colechristensen 2 hours ago
To add to this, this "square root" operation done to derive the Dirac equation is where spinors i.e. electron spin i.e. the Pauli exclusion principle i.e. the reason atoms exist at all comes from. Likewise antimatter. The "second order in time" of the Klein-Gordon equation comes from adding relativity and the "fix" reducing that to first order time is the source of antimatter and spin.
So yes very much so relativistic effects are a foundational part of QM.
ThrowawayTestr 18 hours ago
There's even a Wikipedia page for it https://en.wikipedia.org/wiki/Relativistic_quantum_chemistry
ferfumarma 16 hours ago
Yes: the article says "since the 70s"
762236 17 hours ago
Gold electrons at inner orbits travel at a large fraction of the speed of light, which is why gold isn't a silver color. That is really neat.
brabel 8 hours ago
I don’t understand how something that has no clearly defined position like an electron can have a well defined speed. I thought I had understood that at that level, particles are more like clouds, or vibrations in the quantum field, and they had no well defined position until you tried to measure it, causing its cloud to collapse to a smaller region. But if non observed electrons can have a speed that defines the color of a material, that whole understanding seems to be wrong! Where is the error? Are all atoms on a piece of gold being “observed” in the quantum sense?? Even if we just capture the spectrum? Or it’s something else??
gus_massa 5 hours ago
abecedarius 4 hours ago
Sharlin 7 hours ago
deadbabe 16 hours ago
I don’t get it, someone explain? Doesn’t everything get color from relativistic effects?
wbl 12 hours ago
Most colors in synthetic pigments are from conjugated double bonds that don't need relativistic effects to explain: no heavy atoms here!
de6u99er 6 hours ago
It's beautiful to see Einstein's work still being validated.
ProllyInfamous 3 hours ago
His brilliance transcends science, e.g:
<https://assets.press.princeton.edu/chapters/s6681.pdf>
He was a very proud Jew, who questioned whether he would have been had he not been born into such life. I disagree immensely with him on his pure-fatalism POV, but obviously everybody reading this knows his last name more than anyelse's [& definitely not mine].
----
I have a degree in medicinal chemistry, back from the ancient mid-00s (pre Youtube) and just cannot imagine how incredible science education is/could_be with all the modern visual aids [†]. That models for every single element are just a click away and highly interactive, within any online web_browser (and without additional softwares).
Old is new again. Thanks Einstein. I cannot even begin to imagine just how far ahead his own brain was processing this complexity.
[†] Back then I was still doing organic chemistry rotations entirely within my own spatial cortex, because the only visuals were 2D prints in the library. Somehow earned 'A's {thanks brain}.
blaqq2 6 hours ago
His name will still go way down in history, that is assured
RetroTechie 5 hours ago
"Bismuth could be an alternative to toxic lead in next-generation solar cells."
Is lead still used in common, mass-produced solar panels currently on the market? Wikipedia:
"Lead-based semiconductors such as lead telluride and lead selenide are used in photovoltaic cells and infrared detectors."
Wiki page for lead telluride mentions thermo-electric materials, page for lead selenide mentions IR imaging & detectors. Neither page even mentions solar panels.
Searching turns up mentions of use in flexible solar panels, which have a tiny market share. And iirc some/most of those use cadmium rather than lead compounds? (ok cadmium is equally nasty)
There's mention of lead solders used in solar panel construction. Leaded solders have been banned in EU due to its RoHS directive for a looong time, spare a few niche applications. Solar panels among those? If ever: still the case in 2026?
True: bismuth is used in some solders for similar reasons as lead.
And ofcourse there's recycling. One source mentioned ~0.1% of recycled panels by weight. Another source says overall lead content lower-level than safety limits for material on children's playgrounds.
All in all, that "toxic lead" statement reads more like outdated info. If not FUD.
tastyfreeze 2 hours ago
Bismuth can also be used as a collector metal for smelting precious metals instead of lead. It even cupells the same way as lead.
Svoka 19 hours ago
For context: this is one more experimental confirmation of Dirac's equations (incorporating special relativity into quantum physics).
Very cool.
The paper PDF: https://bpb-us-w2.wpmucdn.com/sites.brown.edu/dist/0/196/fil...
cyberax 18 hours ago
Relativity is also responsible for a lot of weird behaviors of heavy elements, such as the color of gold. Or that lead is a good material for batteries.
westurner 4 hours ago
But what about superfluids (BEC Bose-Einstein Condensates)?
Is it a different set of rules for superfluids like 3He, or should the laws of superfluids cover heavy elements, too?
Here, again, a need for a model of superfluid quantum gravity
michaelsbradley 14 hours ago
Can equivalent theoretical predictions be calculated in a Bohmian framework for the quantum aspects, or is this (potentially) an interesting case where there’s divergence and falsifiability?
fsh 12 hours ago
Bohmian mechanics is nonrelativistic, so it has been "falsified" since its inception. It generally makes identical predictions to nonrelativistic quantum mechanics (i.e. the Schrödinger equation), but finding a relativistic version, equivalent to the Dirac equation in QM, has been difficult due to the nonlocality of the pilot wave.
waldrews 14 hours ago
Very farsighted, after working as a patent clerk, to lay claim on such a foundational technology. Back in the day, they must've been like, oh, so Mercury blocks the sun at the wrong time, but where's the commercial value - and now every chemical company throughout the universe is about to get a bill every time they make something more complex than hydrogen gas.
Meanwhile, Galilean relativity has long gone out of patent, and people on board planes and other vehicles just move around like they were in a stationary reference frame paying no royalties.
eucryphia 14 hours ago
They’re already taxed to fund pure research, it would be unfair to charge royalties for non-rivalrous products they can’t monetise.
14 15 hours ago
I had a couple drinks so having one of those moments. I am always so fascinated by the science and experiments done to prove what we know. I consider myself at least of average intelligence probably slightly above but the things scientists research and solve always blows me away.
My guess to the Fermi paradox is that there actually are intelligent life across the universe but just like in Star Trek they stay quiet until we reach a certain level of knowledge.
zkmon 14 hours ago
In general, anything that is observed to be true at a smaller scale or context can't be extended to much larger scales. That involves assumptions on logic and mathematics to be homogenous across all scales. A pure theoretical extrapolation without bounds is quite common in mathematics, such as proof by induction etc.
Also, the foundational axioms of logic themselves could be valid only at a scale that is familiar to humans. For example, the strict bounday between true and false might get blurred and things could be true and false at the same time at other scale.
red75prime 14 hours ago
> things could be true and false at the same time at other scale.
Being true and false at the same time is a contradiction. But yeah, there is such a thing as mathematical intuitionism that rejects the law of excluded middle (which is not "being true and false at the same time"). It's just one philosophical stance among others though.
zkmon 9 hours ago
It is a contradiction only because you chose to call it so, or you built a framework that interprets something as a contradiction. Logic and mathematics are built on shaky grounds on larger scale.
Similar to how Earth's tectonic plates are floating on liquid magma, while appearing to be fully solid and fixed at the surface.
red75prime 3 hours ago
worldthruword 7 hours ago
Isn't superposition a contradiction for classical physics? Being partly here and there.
red75prime 3 hours ago
vatsachak 13 hours ago
P ^ not P => _|_
The axioms of a logic that are consistent will definitely not let a statement be true and false at the same time.
zkmon 9 hours ago
Those axioms do not have a basis other than observations at human scale.