We investigate the properties of a laser-plasma electron accelerator as a bright source of keV x-ray radiation. During the interaction, the electrons undergo betatron oscillations and from the carefully measured x-ray spectrum the oscillation amplitude of the electrons can be deduced which decreases with increasing electron energies. From the oscillation amplitude and the independently measured x-ray source size of ( 1.8 ± 0.3 ) μ m we are able to estimate the electron bunch diameter to be ( 1.6 ± 0.3 ) μ m .
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