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LCLS Conceptual Design Report - Stanford Synchrotron Radiation ...

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L C L S C O N C E P T U A L D E S I G N R E P O R T<br />

Assuming a pumping speed of 1 l/s, the average pressure is 3.59 × 10 -8 Torr. If the pumping<br />

speed is increased to 10 l/s, the average pressure decreases to 3.34 × 10 -8 Torr (only a 7.6%<br />

improvement). From this, it can be seen that minimizing the gas load has a much greater effect on<br />

beam pipe pressure than does pumping speed. The gas load within the undulator vacuum system<br />

comes from two processes, thermal desorption and photo-desorption. Thermal desorption is<br />

common to all types of vacuum systems; it is the heat-stimulated release of gas constituents<br />

adsorbed on the walls of the system. Photo-desorption is the outgassing that occurs due to<br />

synchrotron radiation hitting the walls of the beam pipe and desorbing gas molecules. Good<br />

thermal desorption data exists for UHV processed copper plated stainless steel from the PEP-II<br />

project [16,17]. Typically, qt = 5 × 10 -13 Torr-liter/sec-sq cm (@ T = 20 o C) after a 200 o C bake for<br />

4 hours. Since the undulator vacuum system is expected to operate at 20 °C, this value will be<br />

used.<br />

Photodesorption is a little harder to estimate. The undulator produces 90 GW of total peak<br />

power. Photon flux is estimated using 100 GW of power hitting the walls of the vacuum system<br />

using the following formula:<br />

where Nγ, photon flux = photons/sec<br />

N<br />

γ<br />

15 ( 6.242 10 keV/J)<br />

PSR t f x<br />

= (8.38)<br />

E<br />

photon<br />

PSR, synchrotron radiation power = 100×10 9 Watts<br />

t, pulse length = 100 × 10 -15 sec<br />

f, pulse frequency = 120 sec -1<br />

Ephoton, average photon energy = 200 keV/photon<br />

Nγ for the undulator is 3.74 × 10 13 photons/sec. The distribution of the spontaneous photon flux is<br />

assumed to increase linearly along the length of the vacuum system as shown in Figure 8.29.<br />

8-50 ♦ U N D U L A T O R

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