The formation and relative stability of spherical packing phases in binary blends composed of AB-diblock copolymers and A-homopolymers are systematically studied using the self-consistent field theory applied to the freely-jointed chain model of polymers. Phase diagrams with different model parameters of the blends are constructed, revealing that the emergence of various complex spherical packing phases, including the Frank-Kasper $\sigma$ phase and the Laves C14 and C15 phases, could be induced by the addition of the homopolymers. For BCC-forming diblock copolymers, a phase transition sequence of BCC $\to$ $\sigma$ $\to$ C14 $\to$ C15 is predicted when the homopolymer concentration is increased. An analysis of the properties of A-domains reveals that their sizes are regulated by the differential localization of A-homopolymers. The resultant spherical domains of different sizes is a key factor to stabilize complex spherical packing phases, especially the Laves C14 and C15 phases. Furthermore, the phase behaviour is strongly affected by the chain length of the homopolymers. In particular, the addition of short homopolymers results in an expanded region of the cylindrical phase, whereas the addition of long homopolymers stabilizes the complex spherical packing phases. The theoretical results from current study are in good agreement with recent experiments and theory, and shed light to the formation of complex spherical packing phases in other self-assembling soft matter systems.

采用自洽场理论，将AB-二嵌段共聚物和A-均聚物组成的二元共混体系中球形堆积相的形成和相对稳定性进行了研究。构建了具有不同模型参数的共混物的相图，揭示了包括Frank-Kasper在内的各种复杂的球形堆积相的出现$\sigma$均聚物的加入可以诱导拉夫斯相和拉夫斯C​​14和C15相。对于形成BCC的二嵌段共聚物，BCC的相变顺序$\to$ $\sigma$ $\to$ C14 $\to$当均聚物浓度增加时，预测C15。对A-结构域的性质的分析表明，它们的大小受A-均聚物差异定位的调节。所得的不同大小的球形畴是稳定复杂球形堆积相（尤其是Laves C14和C15相）的关键因素。此外，相行为受均聚物的链长强烈影响。特别地，短均聚物的添加导致圆柱相的扩大区域，而长均聚物的添加使复杂的球形堆积相稳定。当前研究的理论结果与最近的实验和理论非常吻合，