# What happens when things go too fast?

The coolest things about science are often at the frontiers. We love to press the limits of nature: to cool things down as close as possible to absolute zero, to raise energies as high as possible, and to speed them up as fast as possible. But when it comes to speed, there’s an absolute limit: the speed of light in vacuum.

Relativity tells us why this is the absolute limit: the faster you want to go, the more energy it takes. But, as you get close to the speed of light, you effectively increase the mass of your speedy particle, which makes it ever harder to accelerate it. In fact, it would take an infinite amount of energy to get even a tiny, massive particle (like an electron) to reach the speed of light, much less exceed it. The fastest we’ve ever made an electron go on Earth is 299,792457.9968 m/s, just a few millimeters per second slower than the speed of light.

Before the LHC (Large Hadron Collider) was set up to collide protons, it was called LEP, the Large Electron-Positron collider, and it achieved these speeds. By comparison, light in air is only 99.97% the speed of light in vacuum, or hundreds of kilometers per second slower than the speed of light in vacuum. What happens when a bunch of electrons, moving at almost the speed of light in vacuum, suddenly enter the air?

Well, you see blue light, known to physicists as Čerenkov radiation. What causes this? Nothing can move faster than the speed of light in vacuum, but anything can move faster than light in any material other than vacuum! As soon as this speedy particle enters this “slower-than-vacuum” medium, the medium turns on the brakes. All the charged particles (protons and electrons) that make up the medium interact with the delinquent speeder, and cause it to lose energy.

In this case, energy translates into photons — or particles of light — getting spit out. The diagram above shows one photon; in reality, light gets spit out in all directions, and it gets spit out perpendicular to the direction of motion. When you continue traveling through the medium, you wind up with a cone-shaped beam of light:

And you continue to emit it until you find yourself back in a vacuum again or you slow down to a velocity below the speed of light in that material. Why should you care? Because all you need to build a high-speed particle detector is a tank of water! In water, the speed of light is down to about 3/4 of light in vacuum, so even something as simple as radioactive metals will emit tiny amounts of blue light if you put them next to water. This is incredibly useful to scientists looking for fast-moving particles or rapidly moving decay products. Just build a tank of water and put some blue-light detectors around the edge. When something goes too fast, you see this:

And just like that, you’ve tricked this elusive particle into showing you all of its secrets! (And that’s how we find astrophysical neutrinos, for you fans of the little guy.)

July 13, 2009

I tried to convince one of those hands-on science museums to get a portable reactor so people could see the pretty blue glow of Cherenkov radiation but people go all crazy when you mention “nuclear” anything. Even the nuclear magnetic resonance imagers, which only sense the spin of nuclei, drop the “nuclear” bit and are just “magnetic resonance imagers”.

2. #2 Vasha
July 13, 2009

Having things glow to show that they’re radioactive is a media cliché, but am I right in recalling that ordinary terrestrial radioactive sources would only glow in water, not in air?

3. #3 Eric Lund
July 14, 2009

@Vasha: I don’t know of any naturally occurring radioactive sources that would emit Cerenkov radiation in air, because that requires quite a bit of energy–way more than needed for pair creation, even when you are talking about beta emitters. To get that glow in water, your electrons need only be a few hundred keV, which you can get out of a beta emitter. Note that alpha emitters do not create Cerenkov radiation in water (the required energy would be about 7000 times higher than for beta emitters), but some of their decay products might.

July 14, 2009

@vasha: you can get a glow in air, but remember that the particles need to travel faster than light so the condition is much easier to meet in water than in air. The refractive index of air ~1.0003 while water is ~1.3, so divide the vacuum speed of light by those numbers to get a rough idea of the speed of light through air and water. Reactor cores are immersed in water (heavy or light water depending on design) and some of the particles emitted produces the blue glow.

Radioactive materials as such will not necessarily glow in water, they need to emit particles with a high enough energy and this happens, for example, when you have a sustained fission reaction. I’m not sure what you mean by “ordinary terrestrial radioactive sources”.

July 14, 2009

Huh – what’s with the double-post? I swear I only clicked once …

6. #6 Mu
July 14, 2009

I remember standing on top of the small reactor in my university when they flipped it on for a shot (they were mainly doing short term exposure for nucleotide production). That blue glow was very impressive, so the bang-bang of the rods being shot out of and back into the core was startling.

7. #7 Vasha
July 14, 2009

Um, I guess by “terrestrial” I meant particles with lower energy than cosmic rays.

8. #8 Sili
July 14, 2009

What’s the off-cone signal in that last image?

9. #9 Ethan Siegel
July 14, 2009

MadScientist, got you down to one comment. 🙂

Vasha, natural radioactive beta decay can get you up to, typically, about 0.8 times the speed of light. Fast enough to do Cerenkov radiation in water, but not in air.

Sili, what happened in this event was a neutrino interacted with the water, causing neutron + neutrino = proton + electron. The electron is what caused the cone, but the proton flew off in the other direction, causing the “off-cone” signal you’re seeing. Sometimes the details are pretty amazing, aren’t they?

10. #10 Vasha
July 14, 2009

I’m remembering a magazine cover that gave me the chills when I was a child in the early 1980s. It was about “nuclear winter” and was illustrated by a picture of a glove lying on a snowbank and haloed in blue light. Impressive but corresponding to nothing in reality!

11. #11 Anthony
July 15, 2009

Another astronomical application of Cerenkov radiation is to observe very high energy gamma rays. (Wiki link on my name.)

12. #12 complex field
July 18, 2009

I remember going on a field trip to the reactor UW-Madison. The operators pulled the control rods, putting the core into prompt supercritical, boiling the water and showing the coolest thing I have ever seen: Cerenkov radiation.

13. #13 almay coupons
September 1, 2010

Like I say, the images, events and what I did, remain with me, and I guess always will. I hope that you can at least bury your mental images away

14. #14 cheap flowers
October 7, 2010

Directed by Joe Winston and Laura Cohen, the documentary version of Thomas Frank’s book What’s The Matter With Kansas? has just been released..

15. #15 mike geary
October 13, 2010

I actually thought that it was possible to go faster than the speed of light, but as you pointed out so rightly, that is not possible – even for such small particles. Maybe in the future there will be ways to accelerate small particles such that it will become a possibility – that will then open up so many more oppotunities..

16. #16 crd2
October 14, 2010

@ Mike: Well as far as exceeding the speed of light in the near future, its not looking to good. The universe seems to tweak things in order to protect this speed limit. Once you approach the speed of light your mass increases slowing you back down (so much so that it would require an infinite amount of energy to propel even the smallest particle 186,000 miles per second). Only about 3 dozen or so physicists have written papers on the topic of faster than light speed velocities. There are a couple of people who are currently trying to work it out (Tao Zero Foundation). They seem to be giggled at by others, but I think the effort is still beneficial. How do you know you can’t if you never even try? So far it appears highly improbable, but you cannot rule it out 100%.

October 14, 2010

I tried to convince one of those hands-on science museums to get a portable reactor so people could see the pretty blue glow of Cherenkov radiation but people go all crazy when you mention “nuclear” anything. Even the nuclear magnetic resonance imagers, which only sense the spin of nuclei, drop the “nuclear” bit and are just “magnetic resonance imagers”.

18. #18 birth certificate
October 14, 2010

Only 6 percent of Americans believe the stimulus bill passed a year ago this week has created jobs, a CBS News/New York Times poll reported last week. Six percent.

19. #19 bajar de peso rapidamente
November 8, 2010

That doesn’t mean that a general culture of cost cutting wasn’t an issue, added commission co-chairman Bob Graham, the former Florida senator and governor.

20. #20 scented candles
November 29, 2010

Well there is a saying in the old testament. I will bless those who bless you and curse those who curse you. Something like that. I that was words God said to Abraham and his children Israel.

21. #21 nettdog
CA
March 11, 2013

You can travel at the speed of light and faster, just don’t take any particles with you.

22. #22 Wow
March 12, 2013

‘cept he doesn’t exist.

Hey, dudes, can you let me know where your church is so I can turn up in the sermon and take over the podium and tell you all about Mach’s principle of inertial induction?

Since you’re all being obnoxious, turn about is only fair, right?