Chemical abnormalities
Methemoglobinemia:
a condition caused by elevated levels of methemoglobin in the blood. Methaemoglobin is a form of Hb that contains the ferric [Fe3+] form of iron. The affinity for oxygen of ferric iron is impaired. The binding of oxygen to methaemoglobin results in an increased affinity for oxygen in the remaining heme sites that are in ferrous state within the same tetrameric haemoglobin unit. B)  Quantitative
Production abnormalities
Copy number variation (e.g., deletion, duplication, insertion) is also a common genetic cause of Hb disorders, and complex rearrangements and globin gene fusions can also occur. Thalassemias: Thalassemias are quantitative defects that lead to reduced levels of one type of globin chain, creating an imbalance in the ratio of alpha-like chains to beta-like chains. As noted above, this ratio is normally tightly regulated to prevent excess globin chains of one type from accumulating. The excess chains that fail to incorporate into Hb form non-functional aggregates that precipitate within the RBC. This can lead to premature RBC destruction in the bone marrow (beta thalassemia) and/or in the peripheral blood (alpha thalassemia). Types:
Alpha
Beta (Major)
Beta (Minor)

Hemoglobin variants
Haemoglobin variant are not necessarily pathological. For example, haemoglobin Valletta and haemoglobin Marseille are two haemoglobin variants which are non-pathological

HbS
HbC
HbE
Hb Barts
Hb D-Punjab
HbO (Hb O-Arab)
Hb G-Philadelphia
Hb H
Hb Constant Spring
Hb Hasharon
Hemoglobin Kenya
Hb Korle-Bu
Hb Lepore
Hb M
Hb Kansas
Hb J
Hb N-Baltimore
Hb Hope
Hb Pisa

Electrophoretic migration patterns
Hemoglobin variants can be detected by gel electrophoresis.
Embryonic Hbs include:
Hb Gower-1, composed of two ζ globins (zeta globins) and two ε globins (epsilon globins) (ζ2ε2)
Hb Gower-2, composed of two alpha globins and two epsilon globins (α2ε2)
Hb Portland, composed of two zeta globins and two gamma globins (ζ2γ2)
Fetal Hb (Hb F) is produced from approximately eight weeks of gestation through birth and constitutes approximately 80 percent of Hb in the full-term neonate. It declines during the first few months of life and, in the normal state, constitutes <1 percent of total Hb by early childhood. Hb F is composed of two alpha globins and two gamma globins (α2γ2). Adult Hb (Hb A) is the predominant Hb in children by six months of age and onward; it constitutes 96-97% of total Hb in individuals without a hemoglobinopathy. It is composed of two alpha globins and two beta globins (α2β2). Hb A2 is a minor adult Hb that normally accounts for approximately 2.5-3.5% of total Hb from six months of age onward. It is composed of two alpha globins and two delta globins (α2δ2). Classification of hemoglobinopathies
A)  Qualitative
Structural abnormalities
Hb variants: Hb structural variants are qualitative defects that cause a change in the structure (primary, secondary, tertiary, and/or quaternary) of the Hb molecule. The majority of Hb variants do not cause disease and are most commonly discovered either incidentally or through newborn screening. A subset of Hb variants can cause severe disease when inherited in the homozygous or compound heterozygous state in combination with another structural variant or a thalassemia mutation.