In the present work, plasma generated by fundamental radiation from a Q-switched Nd:YAG laser focused onto a zinc based alloy is studied spectroscopically. The quantification of the zinc based alloy using the calibration free- laser induced breakdown spectroscopy (CF-LIBS) is only possible under the assumption of local thermodynamic equilibrium (LTE). In this study, we investigated the spatiotemporal evolution of plasma parameters (Te, Ne) as well as the spatiotemporal evaluation of LTE in order to find regions where LTE is valid. For an accurate plasma temperature estimation, only times ranging from 0.8 µs to 6 µs and for axial distance from 0.6 to 2.6 mm were chosen. The electron temperature values were calculated using the Saha-Boltzmann method applied on neutral and singly ionized copper lines, while the electron number density was calculated using the Stark broadened profile of the Hα line using the relation of Gigosos.