A System member who is appointed into Federal service under subsection (f)(1) and who suffers personal injury, illness, disability, or death as a result of a personal injury sustained while acting in the scope of such appointment, shall, for the purposes of subchapter I of chapter 81 of title 5, be treated as though the member were an employee (as defined by section 8101 of that title) who had sustained the injury in the performance of duty.