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The Molecular range is the radius around a molecule in a substance to which the molecule can exert attraction force on another molecule.  This is distance.

Sphere of influence is the spherical space/volume around a molecule in a substance, inside which the molecule at center can exert attractive force on another molecule.

The molecular range is very small like 1 nanometer.

Surface tension is the surface energy - additional energy required to increase surface by a unit area.  This is also the tension force exerted (along the line) on the boundary of a surface per unit length.

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