Final answer:
A structure containing a few non-metal atoms is known as a Simple covalent structure, which consists of individual molecules held together by covalent bonds.
Step-by-step explanation:
The type of structure that would contain a few non-metal atoms is a Simple covalent structure. Non-metal structures contain covalent bonds and many nonmetals consist of individual molecules with the electrons localized in covalent bonds. This contrasts with metallic lattices, which consist of closely packed metal atoms without covalent bonding, and ionic lattices, which consist of repeating units of ions in a network structure. Unlike giant covalent structures like diamond or graphite, simple covalent structures do not have a network of bonds extending throughout the material.