Final answer:
The connections between particles of matter like atoms are called intermolecular forces and chemical bonds, with the specific type of bond impacting the state and properties of the matter.
Step-by-step explanation:
The connections between particles of matter, especially between atoms, are called intermolecular forces and chemical bonds. Intermolecular forces refer to the attractive forces between the particles, which can include atoms, molecules, or ions. When atoms come together to share a set of electrons, we talk about chemical bonds forming, which can be ionic, covalent, hydrogen bonds, or metallic. In a large structure of atoms or molecules, these connections can have significant effects on the matter's properties, whether it be in a solid, liquid, or gaseous state.