Step 1: Coordination Numbers of Transition Elements.
Transition metals, particularly in the second and third periods, frequently form complexes with high coordination numbers. This is attributed to their larger atomic radii and capacity to bind multiple ligands, making low coordination numbers uncommon for them.
Step 2: Analyzing the Options.
- (1) The assertion that "The metals commonly show lower coordination number" is inaccurate for second and third-row transition metals, which typically exhibit higher coordination numbers.
- (2) Binuclear carboxylate complexes are prevalent among transition metals.
- (3) Many transition element halides form cluster compounds, especially when the metals are in higher oxidation states.
- (4) Transition metals are capable of forming carbonyl complexes featuring metal-metal bonds, exemplified by dicobalt octacarbonyl.
Step 3: Conclusion.
Consequently, statement (1) is incorrect, making option (1) the correct answer.