Scattering function of polystyrene

Rawiso, M.; Duplessix, R.; Picot, C.

doi:10.1021/ma00169a028

Cited by 100 publications

(130 citation statements)

References 26 publications

Supporting

Mentioning

113

Contrasting

Order By: Relevance

“…The value of 12 A_ found is in fair agreement with various experimental determinations: 11 .A for polystyrene in cyclohexane at 40 ~ [9], 12 ]i for polystyrene in C S2 [26], 12 A for polystyrene in butanone [28].…”

Section: Determination Of the Persistence Lengthsupporting

confidence: 87%

“…The exact calculation of the scattering function for a wormlike chain has encountered great difficulties and many papers on this subject with different approximations have been written [7,8,24,25]. (For a comparison and discussion of all these calculations, see for example [9] and [26].) In this paper, we use the calculations of Yoshisaki [8] valid at low q and des Cloizeaux [7] valid at high q, to fit the experimental scattering functions Sl(q).…”

Section: Determination Of the Persistence Lengthmentioning

confidence: 99%

See 1 more Smart Citation

Characteristic lengths and the structure of salt free polyelectrolyte solutions. A small angle neutron scattering study

Nierlich

Boué

Lapp

et al. 1985

Colloid & Polymer Sci

View full text Add to dashboard Cite

Abstract:We have studied salt free semi dilute polyelectrolyte solutions by small angle neutron scattering. Specific labelling associated with an extrapolation method has allowed the separation of the form factor of a single polyelectrolyte chain Sl(q) and the structure factor S2(q). Two lengths are deduced from these two factors: the persistence length bt which characterizes the electrostatic interactions along the chain by a fitting of Sl(q) with calculation of the scattering function for a wormlike chain, and from S2(q), qm 1 which characterizes the interactions between chains. These two lengths vary in the same way with the concentration ofpolyions (bt o: cp 1/2, qm 1 oc r 1/2) and a constant relation exists between them: only one length is then necessary to describe the structure of polyelectrolyte soltuion on this semidilute concentration range.

show abstract

Section: Determination Of the Persistence Lengthsupporting

confidence: 87%

Section: Determination Of the Persistence Lengthmentioning

confidence: 99%

Characteristic lengths and the structure of salt free polyelectrolyte solutions. A small angle neutron scattering study

Nierlich

Boué

Lapp

et al. 1985

Colloid & Polymer Sci

View full text Add to dashboard Cite

show abstract

“…This is the case for polystyrene which shows distinct scattering behavior, depending on deuteration. 38,40 In this case the extended Kratky plateau observed when both backbone and side groups contribute to the scattering is due to compensation between the rodlike signal ͑observed when using polystyrene samples, deuterated in the backbone͒ and the side groups. Unfortunately, measurements similar to those carried out on polystyrene are not possible for PDMS due to the inability to alter the contrast through selective deuteration.…”

Section: -5mentioning

confidence: 99%

On the difference in scattering behavior of cyclic and linear polymers in bulk

Gagliardi

Arrighi

Ferguson

et al. 2005

The Journal of Chemical Physics

View full text Add to dashboard Cite

It has been suggested that, due to topological constraints, rings in the melt may assume a more compact shape than Gaussian chains. In this paper, we exploit the availability of narrow fractions of perdeuterated linear and cyclic polydimethylsiloxane ͑PDMS͒ and, through the analysis of the small angle neutron scattering ͑SANS͒ profiles, demonstrate the difference in scattering properties of linear and cyclic PDMS molecules. As expected for Gaussian chains, for the H/D linear PDMS samples, log-log plots of the scattered intensity versus scattering vector Q display a Q ͑−2͒ dependence. However, for H/D cyclic blends, the scaling exponent is higher than 2, as predicted by computer simulations reported in the literature. We show that cyclic molecules in bulk display the characteristic maximum in plots of scattered intensity versus Q ͑−2͒ that is expected on the basis of Monte Carlo calculations and from the Casassa equation ͓E. F. Casassa, J. Polym. Sci. A 3, 605 ͑1965͔͒. It is also shown that, for rings, the Debye equation ͓P. Debye, J. Appl. Phys. 15, 338 ͑1944͔͒ is no longer appropriate to describe the SANS profiles of H/D cyclic blends, at least up to M w Ϸ 10 000. For these samples, the Casassa form factor gives a better representation of the SANS data and we show that this function which was developed for monodisperse cyclics is still adequate to describe our slightly polydisperse samples. Deviations from all above observations are noted for M w Ͼ 11 000 and are attributed to partial contamination of cyclic samples with linear chains. The failure of both the Debye and the Casassa form factors could be due to contamination of the cyclic fractions by linear polymers or to a real conformational change.

show abstract

“…Accordingly, very different crossover regions are observed. 25,30 Due to the supposedly similar sizes, we do not attempt to obtain a value for R cs from the asymptotic behavior only, but leave the determination of R cs to model fitting.…”

mentioning

confidence: 99%

Size and shape of the repetitive domain of high molecular weight wheat gluten proteins. I. Small‐angle neutron scattering

et al. 2003

View full text Add to dashboard Cite

The solution structure of the central repetitive domain of high molecular weight (HMW) wheat gluten proteins has been investigated for a range of concentrations and temperatures using mainly small-angle neutron scattering. A representative part of the repetitive domain (dB1) was studied as well as an "oligomer" basically consisting of four dB1 units, which has a length similar to the complete central domain. The scattering data over the entire angular range of both proteins are in quantitative agreement with a structural model based on a worm-like chain, a model frequently used in polymer theory. This model describes the "supersecondary structure" of dB1 and dB4 as a semiflexible cylinder with a length of about 235 and 900 A, respectively, and a cross-sectional diameter of about 15 A. The flexibility of both proteins is characterized by a persistence length of about 13 A. Their structures are thus quantitatively identical, which implies that the central HMW domain can be elongated while retaining its structural characteristics. It seems conceivable that the flexible cylinder results from a helical structure, which resembles the beta-spiral observed in earlier studies on gluten proteins and elastin. However, compared to the previously proposed structure of a (stiff) rod, our experiments clearly indicate flexibility of the cylinder.

show abstract

Scattering function of polystyrene

Cited by 100 publications

References 26 publications

Characteristic lengths and the structure of salt free polyelectrolyte solutions. A small angle neutron scattering study

Characteristic lengths and the structure of salt free polyelectrolyte solutions. A small angle neutron scattering study

On the difference in scattering behavior of cyclic and linear polymers in bulk

Size and shape of the repetitive domain of high molecular weight wheat gluten proteins. I. Small‐angle neutron scattering

Contact Info

Product

Resources

About