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.
![](../I/m/Ideal_chain_random_walk.svg.png)
is the end-to-end vector of the polymer.
If each unit in a polymer is represented by a point in space, translation vectors connect between these joints. 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.
Relation to other quantities
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:[1]
Notes
- Gedde, Ulf W. (1995). Polymer Physics. Springer. p. 21. ISBN 0-412-62640-3.
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See also
- Freely Jointed Chain
- Worm-like chain
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