Skip to content

Comment on Particle accelerators: Small really is beautifulparent

Comments

From the Economist article: "Dr Byer did still rely on an old-school accelerator to feed moderately high-speed electrons into his device in the first place. But lasers could do that job too, as the German team, led by Peter Hommelhoff, of the Friedrich Alexander University in Erlangen, and John Breuer, from the Max Planck Institute of Quantum Optics in Garching, demonstrate in a second paper, just published in Physical Review Letters."

and also:

"The electrons fed into it were first sped up using a midsized standard accelerator, so when they arrived at the glass accelerator they were already travelling at 99.86% of the speed of light, or 60m electron-volts..."

And again, in the complete nonsensical quest of describing particle energies by many nines in 99.999999..% of the speed of light, the proper math falls down, 99.86% c is ~10 MeV, 60 MeV is about 99.996% c, but IT'S COMPLETELY MEANINGLESS!

Nevertheless...

Here's a handy online-tool to calculate the speed of a particle accellerated in a electric field (enter 60000 kV to get the values for the 60 MeV electron):

http://www.ou.edu/research/electron/bmz5364/calc-kv.html

Or calculate it yourself: E = E₀ / √( 1 - β²) with E₀ being the rest-energy of the particle (511 keV in the case of the electron) and β being the velocity relative to the speed of light.

At 99.86% of the speed of light, an electron will have a total (rest-mass + acquired energy by accelleration) energy of about 10 MeV:

    (in python, energies in keV)
    >>> 511. / math.sqrt( 1 - .9986 ** 2 )
    9660.374008193809

...and of course to replicate lhc they'd need to reach 3.5 TeV at high luminosity. let's just say they are not ready for this quite yet...

EDIT: (in 2011, then 4 TeV and next time they run 7 TeV)

AboutSource Built by g1lg1l

Hackerly is an independent reader for Hacker News, built on the public HN API. Not affiliated with Y Combinator.