end-to-end distance

All such effects increase the mean end-to-end distance.

A useful value is the mean square end-to-end distance of the polymer:

The average end-to-end distance for a chain satisfying the random walk model is .

Private line tariffs are based on end-to-end distances.

The average end-to-end distance of the polymer is:

Or see End-to-end distance.

This makes experimental determination of important quantities such as the root mean square end-to-end distance or the radius of gyration much simpler.

It is also only valid for small end-to-end distances, relative to the overall polymer contour length, where the behavior is like a hookean spring.

Another application for the magnetic sequencing is using the hairpin end-to-end distance to detect the successive ligation of oligonucleotide.

Mathematically, for a non-interacting flexible chain randomly diffusing in 3D, the end-to-end distance would scale as a square root of the polymer length.

At finite temperatures, the distance between the two ends of the polymer (end-to-end distance) will be significantly shorter than the contour length .

R is some length scale describing the chain conformation such as the radius of gyration or root-mean-square end-to-end distance of the chain.

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:

Although the coils did not possess spherical symmetry, the distribution of end-to-end distances and maximum projected dimensions projected on a given axis or plane corresponded closely to random coiling statistics.

The average (root mean square) end-to-end distance for the chain, , turns out to be times the square root of N - in other words, the average distance scales with N.

The NEM operates the world's longest interconnected power systems between Port Douglas, Queensland and Port Lincoln, South Australia with an end-to-end distance of more than 5000 kilometres, and 40,000 circuit kilometres.

The continuous relaxation and retardation spectra calculated from the Rouse theory are and where is the unperturbed mean square end-to-end distance of a chain of molar mass M and density ρ containing N monomer units.

For an ideal polymer, as will be shown below, there are more microscopic states compatible with a short end-to-end distance than there are microscopic states compatible with a large end-to-end distance.

It is worth noting that the above average end-to-end distance, which in the case of this simple model is also the typical amplitude of the system's fluctuations, becomes negligible compared to the total unfolded length of the polymer at the thermodynamic limit.