Thermodynamic Model for Calculation the Position of Quitting Surface of Supersonic Beam Based on Speed Measurements

For a nozzle jet beam, one fascinating fact is where a transition occurs from continuous to discontinuous beam during the expansion, which is typically known as the quitting surface. In our previous work, we applied a pickup method to investigate the fragmentation properties of water cluster during electron ionization, and we roughly estimated the possible quitting surface position (∼1 to 1.5 mm in front of the nozzle) to make sure the dopants were not accelerated by the beam expansion. Thus, the momentum conservation law can be applied to evaluate the possible fragmented water molecules. In this work, we applied a simple thermodynamic method to more accurately calculate the position of quitting surface of supersonic beam based on speed measurements. From our calculation in this paper, the quitting surface should be exactly located 1 mm in front of the nozzle, and this paper can further support our previous work.