In the physical chemistry study of polymers, the end-to-end vector is the vector that points from one end of a polymer to the other end.
If each monomer unit in a polymer is represented by a point in space, the translation vectors connect between these points. The end-to-end vector is the sum of these translation vectors:
The norm of the end-to-end vector is called the end-to-end distance.
The quadratic mean of the end-to-end distance can be related to the quadratic mean of the radius of gyration of a polymer by the relation:
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