Packed cell volume (PCV)

Packed cell volume, pcv, hematocrit or hct is defined as the percentage of RBCs in whole blood or the part of blood occupied by RBCs.
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I am developing a mathematical hypothesis to explain the C, N, O and H element cycles in the body. I have a question which its answer can help me to validate and/or modify my hypothesis. How do we know that there is a Fe atom in the Hemoglobin, or what is the scientific method that detected/isolated the Fe from Hemoglobin? My calculations is pointing to the element Phosphorus.