Related Experiment Video
Updated: Aug 21, 2026

Covalent Attachment of Single Molecules for AFM-based Force Spectroscopy
Published on: March 16, 2020
Long range bond-bond correlations in dense polymer solutions
J P Wittmer1, H Meyer, J Baschnagel
1Institut Charles Sadron, 6 Rue Boussingault, 67083 Strasbourg, France. jwittmer@ics.u-strasbg.fr
Abstract:
The scaling of the bond-bond correlation function P1(s) along linear polymer chains is investigated with respect to the curvilinear distance s along the flexible chain and the monomer density rho via Monte Carlo and molecular dynamics simulations. Surprisingly, the correlations in dense three-dimensional solutions are found to decay with a power law P1(s) approximately s(-omega) with omega=3/2 and the exponential behavior commonly assumed is clearly ruled out for long chains. In semidilute solutions, the density dependent scaling of P1(s) approximately g(-omega(0))(s/g)(-omega) with omega(0)=2-2nu=0.824 (nu=0.588 being Flory's exponent) is set by the number of monomers g(rho) in an excluded volume blob. Our computational findings compare well with simple scaling arguments and perturbation calculation. The power-law behavior is due to self-interactions of chains caused by the chain connectivity and the incompressibility of the melt.
Related Concept Videos
¹H NMR: Long-Range Coupling
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene π orbitals.
Determination of Molar Masses of Polymers II
Polymers: Molecular Weight Distribution
Determination of Molar Masses of Polymers I
MO Theory and Covalent Bonding
Molecular Shape and Polarity

