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System performance

As a first test of the performance of the apparatus in the low resolution (non-decel) mode we measured the absolute double differential cross section (DDCS) for the production of Binary Encounter electrons (BEe) in collisions of 20 MeV F tex2html_wrap_inline359  H tex2html_wrap_inline361 . The experimental procedure followed has been discussed in detail elsewhere [15, 14]. It has been used to perform an accurate in-situ calibration of the overall electron detection efficiency for spectrometers [15, 14] and spectrographs [16].

In order to cover the energy range of the Binary Encounter peak in 20 MeV fluorine collisions with H tex2html_wrap_inline361 , two overlaping spectra had to be accumulated as shown in Fig. 3 using two different tuning energies tex2html_wrap_inline327 . The two spectra were then energy and efficiency calibrated and joined together at the overlapping energy regions.

To perform the absolute overall efficiency calibration we first use bare 20 MeV F tex2html_wrap_inline367 ions in collisions with H tex2html_wrap_inline361 . In the case of BEe production by bare ions, measured DDCS at zero-degrees to the beam direction are known to be well described by the Rutherford scattering of quasi-free electrons of H tex2html_wrap_inline361 within the elastic scattering model (also known as the Impulse Approximation) [15, 14]. Thus, the measured bare ion BEe DDCS were normalized to theory from which the overall electron detection efficiency as a function of position along the PSD was obtained. Then using this efficiency we correct the measured F tex2html_wrap_inline373 BEe double-differential yields and convert them to DDCS. In Fig. 3 theory and measurement for 20 MeV F tex2html_wrap_inline373 +H tex2html_wrap_inline361 BEe production are compared. The theory is the result of a quantum-mechanical calculation for quasi-free electron scattering on F tex2html_wrap_inline373 ions within the elastic scattering model [17]. It is seen that theory is off by a factor of 1.12 from our in-situ calibrated F tex2html_wrap_inline373 DDCS. This is within the 20% estimated absolute uncertainty of our data.

   figure88
Figure: Low resolution Binary Encounter electron spectrum, recorded in two steps, for 20 MeV F tex2html_wrap_inline359  H tex2html_wrap_inline361 . Theory based on the elastic scattering model was multiplied by 1.12 to best fit the data. Absolute error about 20%.

The Auger peak seen on the high energy shoulder of the BEe peak is primarily due to the formation of the F tex2html_wrap_inline387 tex2html_wrap_inline389 state by Resonance Transfer Excitation or RTE [18]. From the FWHM of this peak an energy resolution of tex2html_wrap_inline391 was obtained showing that even in the non-decel mode fairly good resolution is obtained by using the lens to define a much smaller virtual entrance slit. After subtracting the BEe ``background tex2html_wrap_inline281 and transforming the LAB spectrum to the CM frame we obtained a value of 13.6( tex2html_wrap_inline395 1.9) tex2html_wrap_inline397 tex2html_wrap_inline399 for the zero-degree SDCS at a mean CM energy of 596.7( tex2html_wrap_inline395 0.9) eV. The reported theoretical value is 11.5 tex2html_wrap_inline397 [18].

In conclusion we have reported on the performance of a new non-typical hemispherical spectrograph used at zero-degrees to the beam direction in low resolution mode to measure Binary Encounter electrons. These were then used to calibrate the overall absolute electron detection efficiency. Using this efficiency we determined the absolute DDCS for BEe production for F tex2html_wrap_inline373 ions and found it to be in good agreement with theory. The double focusing properties of the hemispherical analyser together with the substantial savings in collection time compared to the voltage-scanned mode used with the more common parallel-plate tandem electron spectrometers, greatly improve the overall efficiency of electron detection making it ideal for low intensity high resolution DDCS measurements. In the future we plan to use our apparatus in deceleration mode to record much higher resolution spectra.


next up previous
Next: Acknowledgements Up: No Title Previous: The spectrograph

Theo Tzouros
Sat May 2 17:41:10 EET DST 1998