  LYSO scintillation crystals, due to their significant characteristics such as
high light yield, fast decay time, small Moli\'ere radius, and good radiation
hardness, are proposed to be used for the electromagnetic calorimeter section
of the Turkish Accelerator Center Particle Factory (TAC-PF) detector. In this
work, the center of gravity technique was used to determine the impact
coordinates of an electron initiating an electromagnetic shower in the LYSO
array, the calorimeter module contains nine crystals, each 25 mm$\times$25 mm
in cross-section and 200 mm in length. The response of the calorimeter module
has been studied with electrons having energies in the range 0.1 GeV-2 GeV. By
using the Monte Carlo simulation based on Geant4, the two-dimensional position
resolution of the module is obtained as
$\sigma_{R}(mm)=((3.95\pm0.08)/\sqrt{E})\oplus(1.91\pm0.11)$ at the center of
the crystal.
