Neon clusters with an average sizes in the range from n=100
to 1600 atoms are generated in an adiabatic expansion and are doped with
a single HBr or HCl molecule in a pick-up process. The hydrogen halide molecule is 
photodissociated by a UV laser and the outgoing H fragment is ionized by resonance enhanced 
multi-photon ionization (REMPI) in a (2+1) excitation scheme at a wavelength of 243 nm. 
The H ions are extracted in a Wiley-McLaren time-of-flight mass spectrometer  operating in the 
low-field mode to be sensitive to low velocities. The measured kinetic energy distribution are 
compared with quasi-classical molecular dynamics simulations, which allow for a detailed analysis 
of the underlying processes. Simultaneously, the neon cluster phase behavior, the  
pick-up procedure, and the photodissociation dynamics are investigated theoretically. 
The phase behavior is studied by means of the Instantaneous Normal Modes approach with 
a newly introduced projection technique, which allows us to disentangle the 
phases of the different cluster shells. For the cluster sizes investigated, the cluster core 
is basically solid or semi-liquid, while the outer shell is always liquid. Correspondingly, 
during the semi-classical pick-up simulation most of the HBr dopants stay in the surface of the cluster. 
Finally, the photodissociation simulation is performed starting either from the quantum mechanical 
ground state at T = 0 K or from a distribution at T= 10 K. It is demonstrated that the inclusion 
of the temperature effects is necessary to reproduce the experimental data and, therefore, 
plays a crucial role in the interpretation of the floppy neon clusters.