Step 1: Understanding the Concept:
Nanomaterials are classified by how many of their dimensions are NOT confined to the nanometre scale (1 to 100 nm).
Step 2: Detailed Explanation:
In a zero dimensional nanomaterial, all three dimensions (length, width, height) are in the nano range. Nanoparticles and quantum dots are examples.
One dimensional materials, such as nanowires and nanotubes, have one dimension outside the nano range. Two dimensional materials, such as thin films, have two dimensions outside it.
Step 3: Check the options.
Four dimensional is not a classification used for nanomaterials. Nanoparticles are zero dimensional.
Final Answer:
Nanoparticles are zero dimensional, option (D).
\[ \boxed{\text{zero dimensional}} \]