This chapter demonstrates the results of continuous growth model (CGM) analysis for a system comprising a single crystal in an ideal binary alloy. The model was parameterized to simulate a specific form of k(vo) and kinetic undercooling, as described by the CGM. The phase field models converge well to the corresponding CGM sharp interface models at low velocities. Dynamic transmission electron microscopy (DTEM) experiments of thin film solidification were recently compared to multi-order parameter phase field simulations in the limit of rapid solidification using the results. The temperature distribution in the phase field model was described with a simple analytical model fitted to solid–liquid interface data from DTEM experiments.