A. Heusler alloys; A. Low dimensional systems; A. Magnetic material; D. Ground states Alloys; Antiferromagnetism; Chemical stability; Flow interactions; Ground state; Magnetic fields; Manganese; Manganese alloys; Manganese compounds; Metallic compounds; Phase diagrams; Phase stability; Synthetic metals; Two dimensional; A. Heusler alloys; A. Low dimensional systems; A. Magnetic material; Antiferromagnetic; Chemical interactions; D. Ground states; Heusler alloys; Linear inequalities; Magnetic interactions; Mn atoms; Nearest neighbors; Ordered alloys; Point clusters; Magnetic materials