Based on the current studies mainly involved in the phase selection, nucleation, banded structure and coupled growth, development of the researches on the theoretical and experimental results on directionally solidified binary peritectic alloys was reviewed in this paper.

Morphological stability of coupled growth during directional solidification of eutectic and peritectic alloys;

Lamellar structures of rapidly unidirectionally solidified Zn-2%Cu peritectic alloy;

Research of the developments of phase and microstructure selection during directional solidification of peritectic alloys;

Phase-field model of isothermal solidification of binary alloy with multiple grains;

Phase-field Simulation of Non-isothermal Solidification of Binary Alloy;

Based on the Miedema formation heat model for binary alloy and the Toop asymmetric geometrical model,the excess free energy,formation heat,excess entropy and the interactive coefficients of activity among all components of Si-Ca-Ba ternary alloy melts were calculated thermodynamically at 1 873 K.

The dilute-limit heats of solution of binary alloys composed of Ce,Th and Yb calculated with EAM;

The formation enthalpy of three binary alloys of transition metals(W,Nb and Ta)with Na is calculated by EAM.

According to determine the non-equilibrium solidification path and local liquid solute concentration in the macro transport model during solidification process of binary alloys, the two kinds of micro-scale solidification models are discussed detailedly, viz.