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A sigma bond is defined as bond with axial symmetry- where the axis runs between the two atoms being bonded. The bond is formed by overlap of atomic orbitals that point along the axis (these can be s orbitals, p d or hybrid orbitals.)

In practise the majority of single bonds encountered are sigma bonds, this is particularly true in organic chemistry.

However there is no logical reason why thereall single bonds (sharing of a par of electrons) have to be sigma bonds. One example is the bonding in Zeise's salt where a filled d- orbital on the metal atom bonds to an alkene by overlap with a pi antibonding orbital- thisbond has pi symmetry and does not have axial symmetry and there is only one pair of electrons.

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