Solid materials that do not possess an orderly arrangement of atoms are called

Solid materials that do not possess an orderly arrangement of atoms are called glasses (mineraloids).

Explanation:

A Mineraloid is a natural, inorganic, amorphous (lacking "defined chemical composition") solid body that does not exhibit crystallinity. It exhibits characteristics similar to those of minerals, but does not have the "ordered atomic structure" necessary to meet the definition of a mineral.

Glasses or colloids have a totally random structure on an atomic scale. They are amorphous and get the honorary name of mineraloid.

Solid materials that do not possess an orderly arrangement of atoms are called glasses (mineraloids).