14.01.2013 Views

VUV Spectroscopy of Atoms, Molecules and Surfaces

VUV Spectroscopy of Atoms, Molecules and Surfaces

VUV Spectroscopy of Atoms, Molecules and Surfaces

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

50 High-resolution <strong>VUV</strong> spectroscopy <strong>of</strong> H −<br />

longitudinal electron-beam temperature is reduced by the acceleration process<br />

to typically kT � ∼1 meV [22] while the transverse temperature, initially<br />

equal to the cathode temperature, kTcath = 0.11 eV, can be reduced by adiabatically<br />

exp<strong>and</strong>ing the electron beam [23]. In the present study, the solenoid<br />

magnetic field <strong>of</strong> the interaction region was reduced by a factor 4.3 with respect<br />

to that <strong>of</strong> the gun, implying an expansion to a √ 4.3×1 cm=2.1cm<br />

diameter electron beam <strong>and</strong> a factor 4.3 reduction in the transverse temperature<br />

to kT⊥ = 26 meV. For comparison, the effective ion-beam diameter,<br />

taking betatron oscillations into account, was ∼1 cm <strong>and</strong> could be considered<br />

constant on the time scale relevant for longitudinal cooling.<br />

The mean longitudinal velocity v <strong>and</strong> spread δv <strong>of</strong> the D − beam were derived<br />

from the average revolution frequency ν <strong>and</strong> spread δν, monitored with<br />

a Schottky pick-up. Due to the large cross section for collisional destruction<br />

<strong>of</strong> a negative-ion beam, the lifetime <strong>of</strong> the stored beam was limited to a few<br />

seconds. Stable cooling, characterized by constant mean velocity <strong>and</strong> a constant,<br />

narrowed velocity spread, must thus be achieved on a similar timescale,<br />

<strong>and</strong> knowing the exact time when this occurs is important for separating out<br />

the corresponding neutral-atom signal in the data treatment. The frequency<br />

content <strong>of</strong> the Schottky signal mixed down to ∼10 kHz was sampled by an<br />

analog-to-digital converter <strong>and</strong> analyzed with a fast Fourier-transform procedure<br />

every 0.16 s, allowing ν <strong>and</strong> δν to be recorded as a function <strong>of</strong> time<br />

[24].<br />

In order to obtain stable cooling <strong>and</strong> the lowest possible velocity spread, it<br />

is important that the electron- <strong>and</strong> ion beams are well aligned in the electron<br />

cooler [21]. This was achieved by means <strong>of</strong> a pair <strong>of</strong> horizontal <strong>and</strong> vertical<br />

pick-up plates placed in the interaction region as shown in figure 3.3. When<br />

not used for positioning, the latter were modulated with a 250 kHz AC sine<br />

voltage, 6 V peak-to-peak, in order to reach equilibrium within the lifetime<br />

<strong>of</strong> the ion beam. This procedure has been suggested by Marriner et al. as<br />

a method <strong>of</strong> reducing the amount <strong>of</strong> rest-gas ions trapped in the electron<br />

beam [25]. Trapped rest gas ions imply a reduction in the magnitude <strong>of</strong><br />

the electrostatic space-charge potential <strong>and</strong> a corresponding increase in the<br />

electron-beam velocity. Without the modulation voltage the Schottky spectra<br />

exhibited significant drifts <strong>and</strong> stable cooling could not be obtained within<br />

several lifetimes <strong>of</strong> D − beam storage.<br />

3.3 Results <strong>and</strong> discussion<br />

Figure 3.4(a) <strong>and</strong> (b) show examples <strong>of</strong> the evolution <strong>of</strong> the mean longitudinal<br />

velocity <strong>and</strong> the relative velocity spread (FWHM) with time, respectively,<br />

for the cooled D − beam, as obtained by fitting the Schottky spectra to a

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!