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We use the two-alpha cluster model to describe the properties of $^{8}$Be.The $E2$-transitions in a two-body continuum can be described as bremsstrahlungin an inelastic scattering process. We compute cross sections as functions ofinitial energy for the possible $E2$-transitions from initial angular momenta$(0^+,2^+,4^+,6^+,8^+)$. The dependence on the exact shape of potentials isvery small when the low-energy scattering phase-shifts are the same. We relateto practical observables where energies of the emerging alpha-particles arerestricted in various ways. The unphysical infrared contribution is removed. Wefind pronounced peaking for photon energies matching resonance positions.Contributions from intra-band transitions are rather small although substantial(and even dominating) for initial energies between resonances. Structureinformation are derived but both ${\cal B}^{(E2)}$ values and electromagnetictransition rates are ambiguous in the continuum.

Inelastic cross sections and continuum transitions illustrated by $^{8}$Be results