With oxygen, hemoglobin forms an unstable, reversible bond.
It is brilliant red in its oxygen-loaded state, which is called oxyhemoglobin.
It's called deoxyhemoglobin and it's purple-blue when it's oxygen-free.
The connection between oxygen and hemoglobin is determined primarily by oxygen saturation and tension.
This is referred to as oxygen and hemoglobin affinity.
The oxygen and hemoglobin affinity is also affected by pH, temperature, and pressure.
Each hemoglobin contains the metalloprotein, which in turn contains the four subunits, each of which contains one oxygen atom, resulting in a total of four oxygen molecules attaching to the hemoglobin.
When all heme units are coupled to oxygen, hemoglobin is said to be saturated; if only some units are bound, hemoglobin is said to be partially saturated.