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Pervaded volume is a measure of the size of a
polymer A polymer (; Greek '' poly-'', "many" + '' -mer'', "part") is a substance or material consisting of very large molecules called macromolecules, composed of many repeating subunits. Due to their broad spectrum of properties, both synthetic a ...
chain in space. In particular, it is "the
volume Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch). ...
of solution spanned by the polymer chain".


Scaling

The pervaded volume V scales as the cube of the chain size V \approx R^3 R is some length scale describing the chain conformation such as the
radius of gyration ''Radius of gyration'' or gyradius of a body about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass, if the total mass of the body were concentr ...
or root-mean-square end-to-end distance of the chain. Typically the pervaded volume is very large relative to the space actually occupied by the chain as most of the pervaded volume is usually filled with
solvent A solvent (s) (from the Latin '' solvō'', "loosen, untie, solve") is a substance that dissolves a solute, resulting in a solution. A solvent is usually a liquid but can also be a solid, a gas, or a supercritical fluid. Water is a solvent for ...
or other chains.


Applications

Chain pervaded volume is relevant in the morphology and
rheology Rheology (; ) is the study of the flow of matter, primarily in a fluid ( liquid or gas) state, but also as "soft solids" or solids under conditions in which they respond with plastic flow rather than deforming elastically in response to an ap ...
of melt and bulk polymers through its relation to quantities such as the interchain entanglement density, the number of entanglements between different chains per volume.


See also

*
Radius of Gyration ''Radius of gyration'' or gyradius of a body about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass, if the total mass of the body were concentr ...
* Coil-globule transition *
Excluded volume The concept of excluded volume was introduced by Werner Kuhn in 1934 and applied to polymer molecules shortly thereafter by Paul Flory. Excluded volume gives rise to depletion forces. In liquid state theory In liquid state theory, the 'excluded ...


References


External links

* Polymer physics {{polymer-stub