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Sigma bonds are those lie on the axis between two atoms. Pi bonds are non axial with electron density above and below.

For example in methane the bonds are all single bonds and single bonds are always sigma bonds as the electron density maximum is between the two bonded atoms. this bond can be thought of being formed by the overlap of an sp3 hybrids orbital on the carbon and an s orbital on the hydrogen.

In ethene (ethylene), a molecule where all of the atoms lie in the same plane, there is sigma bond (sp2 hybrid on each carbon overlapping) and a pi bond with electron density above and below the sigma bond which is formed by the overlap of p orbitals that are at right angles to the plane of the molecule.

See wikipedia "ethylene" for pretty pictures.

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