Английская Википедия:End-to-end vector
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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 <math>\vec{r}_i</math> connect between these points. The end-to-end vector <math>\vec{R}</math> is the sum of these translation vectors:
- <math>\vec{R} = \sum_i \vec{r}_i</math>
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 <math>\left\langle r^2 \right\rangle</math> can be related to the quadratic mean of the radius of gyration <math>\left\langle s^2 \right\rangle</math> of a polymer by the relation:[1]
- <math>\left\langle r^2 \right\rangle = 6 \left\langle s^2 \right\rangle
</math>
Notes
See also