An ideal chain (or freely-jointed chain) is the simplest model in polymer chemistry to describe polymers, such as nucleic acids and proteins. It assumes that the monomers in a polymer are located at the …

Jan 28, 2025 · When the polymer chain is extended via swelling or if you take it to the extreme and we pull and stretch a polymer chain we know that the end-to-end distance distribution of polymer chains …

In the previous chapter we have introduced the Gaussian chain as a model for the equilibrium (static) properties of polymers. We will now adjust it such that we can use it to calculate dynamical …

In this and the coming lectures, we will present methods for theoretically describing the conformation of a polymer chain using several physical models. Here, we will discuss ideal polymers, which are the …

Each jump represents a transition to a different energetic state. How do we account for this? For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

The scattering from an independent polymer chain following Gaussian statistics was solved by Debye [7]. The derivation is based on an evaluation of the intensity as a double sum resulting from the …

In order to establish a connection between realistic systems and the Gaussian chain model, we explain how to derive the Gaussian chain model from microscopic atomistic models.

The Gaussian chain The simplest model consistent with a Gaussian end-to-end vector distribution is one in which every bond vector itself is Gaussianly distributed .

We will first introduce the concept of a Gaussian chain (chapter 1), which is a simple bead and spring model representing the equilibrium properties of a poly-mer. By adding friction and random forces to …

In polymer chemistry, a random coil is a conformation of polymers where the monomer subunits are oriented randomly while still being bonded to adjacent units. It is not one specific shape, but a …