Kalpana Kalpana

End to end vector

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End-to-end vector

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 unit in a polymer is represented by a point in space, translation vectors r i connect between these joints. The end-to-end vector R is the sum of these translation vectors:

R = i r i

The norm of the end-to-end vector is called the end-to-end distance.

Relation to other quantities

The quadratic mean of the end-to-end distance r 2 can be related to the quadratic mean of the radius of gyration s 2 of a polymer by the relation:

r 2 = 6 s 2

References

End-to-end vector Wikipedia


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