haemoglobin can associate with oxygen in a way that produces an s shaped curve, also known as the haemoglobin association curve. at low oxygen tensions, the haemoglobin doesn't readily associate with oxygen molecules. this is because the haem groups that attract oxygen are at the centre of a haemoglobin molecule, making it difficult for oxygen to reach the haem group to associate with it. this difficulty in combining with the first oxygen molecule accounts for the low saturation levels of haemoglobin in low oxygen tensions.