The US Department of Energy's Linac
Coherent Light Source (LCLS) in Menlo
Park, California was the world's most powerful x-ray laser when it opened for business in 2009.
The LCLS generates x-rays from a beam of electrons accelerated from zero to 99.9999999
per cent the speed of light in 3.2 km. The central tube of this linear
accelerator or linac is the straightest
object in the world and lies beneath the longest building in the United States.
The beamline ends at a 100 m long series of alternating magnets called an
undulator where the electrons slalom back and forth in a synchronized fashion
generating coherent x-rays. The pulses are quick enough (∆t < 100 fs)
that ultrafast events can be captured and the x-rays are short enough (λ = 0.15 nm)
that ultrasmall objects can be imaged. By stringing together sequences of ultrafast,
ultrasmall images the LCLS is effectively a movie camera for individual molecules.
Determine the following quantities for the LCLS …
- the length of a pulse
- the number of wavelengths in a pulse
- the energy of a single x-ray photon in the laser beam
- the energy of a single electron in the linac
- the number of photons produced by one electron assuming 100% efficiency
- the power of a single x-ray pulse if it contains about a trillion photons (n = 1012)
- the average power of the x-ray beam if it pulses 120 times per second