Step 1: Understanding the biomolecules.
- Cytochromes: These are proteins involved in electron transport in cells and contain iron in their heme group.
- Hemocyanin: A copper-containing protein that carries oxygen in the blood of some arthropods and mollusks, does not contain iron.
- Hydrogenases: These enzymes catalyze the reversible oxidation of hydrogen and do not contain iron but often contain other metal centers like nickel.
- Hemerythrin: This is an iron-containing oxygen transport protein found in some invertebrates. Step 2: Conclusion.
The biomolecule that does NOT contain iron is hemocyanin.
Final Answer:
\[
\boxed{\text{Hemocyanin does not contain iron.}}
\]