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 steps of a hypothetical random walker that does not remember its previous steps. By neglecting interactions among monomers, this model assumes that two (or more) monomers can occupy the same location. Although it is simple, its generality gives insight about the physics of polymers.
In this model, monomers are rigid rods of a fixed length l, and their orientation is completely independent of the orientations and positions of neighbouring monomers. In some cases, the monomer has a physical interpretation, such as an amino acid in a polypeptide. In other cases, a monomer is simply a segment of the polymer that can be modeled as behaving as a discrete, freely jointed unit. If so, l is the Kuhn length. For example, chromatin is modeled as a polymer in which each monomer is a segment approximately 14-46 kbp in length.[1]
^Rippe, Karsten (2001). "Making contacts on a nucleic acid polymer". Trends in Biochemical Sciences. 26 (12): 733–740. doi:10.1016/S0968-0004(01)01978-8.
An idealchain (or freely-jointed chain) is the simplest model in polymer chemistry to describe polymers, such as nucleic acids and proteins. It assumes...
behaves as an idealchain. The idealchain model assumes that polymer segments can overlap with each other as if the chain were a phantom chain. In reality...
ideal points Idealchain, in science, the simplest model describing a polymer Ideal gas law, in physics, governing the pressure of an ideal gas Ideal...
on everyday life". Wikimedia Commons has media related to Polymers. Idealchain Catenation Inorganic polymer Important publications in polymer chemistry...
rubber band can be explained using the idealchain model, where the rubber band can be modeled as a bundle of long chain polymers. The free variables are the...
solvent (or θ solvent) is a solvent in which polymer coils act like idealchains, assuming exactly their random walk coil dimensions.[clarification needed]...
chain condition (ACC) and descending chain condition (DCC) are finiteness properties satisfied by some algebraic structures, most importantly ideals in...
algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two-sided ideals of a ring, partially...
volume (e.g. in case of idealchain model). The recognition that excluded volume was an important factor in analyzing long-chain molecules in solutions...
its neighbors. This is the idealchain mathematical model. It is clear that the maximum, fully extended length L of the chain is N × ℓ {\displaystyle \scriptstyle...
chain consisting of n {\displaystyle n} bonds and with fixed bond angles, torsion angles, and bond lengths, Kuhn considered an equivalent idealchain...
Euclidean domains and all fields are principal ideal domains. Principal ideal domains appear in the following chain of class inclusions: rngs ⊃ rings ⊃ commutative rings...
Rouse model describes the conformational dynamics of an idealchain. In this model, the single chain diffusion is represented by Brownian motion of beads...
an idealchain, maximizing its entropy means reducing the distance between its two free ends. Consequently, a force that tends to collapse the chain is...
of a chain in X is in X. This is the way that is generally used to prove that a vector space has Hamel bases and that a ring has maximal ideals. In some...
Due primarily to supply chain strains and component issues, the company ceased production and shut down in 2022. The Ideal Conceal pistol consisted of...
an ideal is called radicalization. A radical ideal (or semiprime ideal) is an ideal that is equal to its radical. The radical of a primary ideal is a...
conformations over more linear ones. For the quantitative treatment see idealchain, for more examples see entropic force. Cooling below the glass transition...
An ideal gas is a theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. The ideal gas concept...
model population dynamics. In polymer physics, random walk describes an idealchain. It is the simplest model to study polymers. In other fields of mathematics...
advantage of the real system will be less than that calculated for an ideal mechanism. A chain or belt drive can lose as much as 5% of the power through the system...
fractional ideals of an integral domain are like ideals where denominators are allowed. In contexts where fractional ideals and ordinary ring ideals are both...
complement R∖S is a union of prime ideals of R. The intersection of members of a descending chain of prime ideals is a prime ideal, and in a commutative ring...
If the polymers of interest are ideal gaussian chains (or freely-jointed chains), in the limit of very long chains (allows performing a sort of "continuum...
radiation List of quantum gravity researchers Entropic elasticity of an idealchain Gravitation Induced gravity Geon (physics) Micro black hole Geometrodynamics...
elasticity are the freely-jointed chain model and the worm-like chain model. The freely joined chain, also called an idealchain, follows the random walk model...