Final answer:
Oxygen is a strong-field ligand. Crystal field splitting explains that strong-field ligands cause a large splitting, resulting in a low-spin complex and giving arterial blood its red color, while weak-field ligands cause a smaller splitting, resulting in a high-spin complex and giving venous blood its blue color.
Step-by-step explanation:
Oxygen is categorized as a strong-field ligand.
In crystal field splitting, when the ligands approach the metal ion, the electrons in the metal d orbitals are repelled. The ligand field splits the d orbitals into two sets of orbitals, known as the t2g and eg sets. The energy difference between these two sets determines the color of the complex. Ligands that cause a large splitting, like strong-field ligands, result in a large energy difference and therefore absorb light in the visible spectrum, giving rise to color. In the case of oxyhemoglobin, the O2 ligand is a strong-field ligand and causes a large splitting, resulting in a low-spin complex that gives arterial blood its red color. On the other hand, deoxyhemoglobin, with the water molecule ligand, is a weak-field ligand and causes a smaller splitting, resulting in a high-spin complex that gives venous blood its blue color.