A scattering function for correlated lamellae

Camara, Michael; Rishi, Kabir; Beaucage, Gregory; Sukumaran, Sathish K.

doi:10.1016/j.polymer.2021.124281

A scattering function for correlated lamellae

Journal Article · 01 December 2021 · Polymer

DOI:https://doi.org/10.1016/j.polymer.2021.124281· OSTI ID:1841223

Camara, Michael; Rishi, Kabir; Beaucage, Gregory; Sukumaran, Sathish K.

Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)

Sponsoring Organization:: DOE - Office Of Science; National Science Foundation (NSF)

OSTI ID:: 1841223

Journal Information:: Polymer, Vol. 237

Country of Publication:: United States

Language:: ENGLISH

References (52)

Polymer crystals Phillips, P. J. Reports on Progress in Physics, Vol. 53, Issue 5 https://doi.org/10.1088/0034-4885/53/5/002	journal	May 1990
Über den Einflusss von Gitterstörungen auf das Röntgendiagram, im Besonderen bei Gelen Hermans, J. J. Recueil des Travaux Chimiques des Pays-Bas, Vol. 63, Issue 11 https://doi.org/10.1002/recl.19440631102	journal	January 1944
R�ntgeninterferenzen an Strichgittern mit Fl�ssigkeitsunordnung Hosemann, Rolf Zeitschrift f�r Physik, Vol. 127, Issue 1-2 https://doi.org/10.1007/BF01338981	journal	February 1950
Morphologies of microporous polyethylene and polypropylene crystallized from solution in supercritical propane Pradhan, Debjeet; Ehrlich, Paul Journal of Polymer Science Part B: Polymer Physics, Vol. 33, Issue 7 https://doi.org/10.1002/polb.1995.090330709	journal	May 1995
Theorie der R�ntgenstrahlenstreuung an Partikelhaufen: Aufstellung des Aggregationsdiagrammes Hosemann, R. Zeitschrift f�r Physik, Vol. 113, Issue 11-12 https://doi.org/10.1007/BF01337604	journal	November 1939
Models for small-angle X-ray scattering from highly dispersed lamellae Blundell, D. J. Polymer, Vol. 19, Issue 11 https://doi.org/10.1016/0032-3861(78)90302-6	journal	November 1978
Lamellar and interlamellar structure in melt-crystallized polyethylene. I. Degree of crystallinity, atomic positions, particle size, and lattice disorder of the first and second kinds Kavesh, S.; Schultz, J. M. Journal of Polymer Science Part A-2: Polymer Physics, Vol. 8, Issue 2 https://doi.org/10.1002/pol.1970.160080205	journal	February 1970
Lamellar and interlamellar structure in melt-crystallized polyethylene. II. Lamellar spacing, interlamellar thickness, interlamellar density, and stacking disorder Kavesh, S.; Schultz, J. M. Journal of Polymer Science Part A-2: Polymer Physics, Vol. 9, Issue 1 https://doi.org/10.1002/pol.1971.160090107	journal	January 1971
Lamellar and interlamellar structure in melt-crystallized polyethylene: Part 3 Effects of small deformation Kaufman, W. E.; Schultz, J. M. Journal of Materials Science, Vol. 8, Issue 1 https://doi.org/10.1007/BF00755581	journal	January 1973
A Small-Angle X-ray Scattering Study of High-Density Polyethylene and Ultrahigh Molecular Weight Polyethylene Bellare, A.; Schnablegger, H.; Cohen, R. E. Macromolecules, Vol. 28, Issue 23 https://doi.org/10.1021/ma00127a001	journal	November 1995
An intensity superposition model to fit the small angle X-ray scattering of semicrystalline polymers and its application to the monitoring of non-isothermal crystallization Rabiej, Stanisław; Rabiej, Małgorzata; Adamczyk-Tomiak, Katarzyna European Polymer Journal, Vol. 69 https://doi.org/10.1016/j.eurpolymj.2015.06.011	journal	August 2015
Analysis of the Lamellar Structure of Semicrystalline Polymers by Direct Model Fitting of SAXS Patterns Fischer, Stefan; Jiang, Zhiyong; Men, Yongfeng The Journal of Physical Chemistry B, Vol. 115, Issue 47 https://doi.org/10.1021/jp204998p	journal	November 2011
Comparison of intensity profile analysis and correlation function methods for studying the lamellar structures of semi-crystalline polymers using small-angle X-ray scattering Wang, Z. -G.; Hsiao, B. S.; Murthy, N. S. Journal of Applied Crystallography, Vol. 33, Issue 3 https://doi.org/10.1107/S0021889899014193	journal	June 2000
A small-angle X-ray scattering study of the annealing and gelatinization of starch Cameron, R. E.; Donald, A. M. Polymer, Vol. 33, Issue 12 https://doi.org/10.1016/0032-3861(92)91147-T	journal	January 1992
Small-angle x-ray scattering experiments for investigating the validity of the two-phase model Strobl, G. R.; Müller, N. Journal of Polymer Science Part A-2: Polymer Physics, Vol. 11, Issue 6 https://doi.org/10.1002/pol.1973.180110613	journal	June 1973
X-ray small-angle scattering of bulk polyethylene: III. Results Kortleve, G.; Vonk, C. G. Kolloid-Zeitschrift & Zeitschrift für Polymere, Vol. 225, Issue 2 https://doi.org/10.1007/BF02086186	journal	August 1968
X-ray small-angle scattering of bulk polyethylene: II. Analyses of the scattering curve Vonk, C. G.; Kortleve, G. Kolloid-Zeitschrift & Zeitschrift für Polymere, Vol. 220, Issue 1 https://doi.org/10.1007/BF02086052	journal	September 1967
Small-angle X-ray scattering from high-density polyethylene: lamellar thickness distributions Marega, Carla; Marigo, Antonio; Cingano, Gianmatteo Polymer, Vol. 37, Issue 25 https://doi.org/10.1016/S0032-3861(96)80440-X	journal	January 1996
Small-angle X-ray scattering from polyethylene: Distorted lamellar structures Marega, Carla; Marigo, Antonio; Causin, Valerio Journal of Applied Polymer Science, Vol. 90, Issue 9 https://doi.org/10.1002/app.12890	journal	September 2003
Free and constrained amorphous phases in polyethylene: Interpretation of 1H NMR and SAXS data over a broad range of crystallinity Chmelař, Josef; Pokorný, Richard; Schneider, Patrik Polymer, Vol. 58 https://doi.org/10.1016/j.polymer.2014.12.036	journal	February 2015
Temperature Reversible Transitions in Linear Polyethylene Studied by TMDSC and Time-Resolved, Temperature-Modulated WAXD/SAXS Goderis, Bart; Reynaers, Harry; Scherrenberg, Rolf Macromolecules, Vol. 34, Issue 6 https://doi.org/10.1021/ma001759y	journal	February 2001
Numerical analysis of lamellar thickness distributions Voigt-Martin, I. G.; Mandelkern, L. Journal of Polymer Science Part B: Polymer Physics, Vol. 27, Issue 5 https://doi.org/10.1002/polb.1989.090270502	journal	April 1989
An x-ray diffraction study of nonlinear polyethylene. I. Room-temperature observations Vonk, C. G.; Pijpers, A. P. Journal of Polymer Science: Polymer Physics Edition, Vol. 23, Issue 12 https://doi.org/10.1002/pol.1985.180231210	journal	December 1985
Small-Angle X-ray Scattering Functions in the Vicinity of Zero Scattering Angle with an Application to Polymer Blends Stribeck, N. Macromolecules, Vol. 29, Issue 22 https://doi.org/10.1021/ma951656t	journal	January 1996
Plastic Deformation of Semicrystalline Polyethylene by X-ray Scattering: Comparison with Atomistic Simulations Che, Justin; Locker, C. Rebecca; Lee, Sanghun Macromolecules, Vol. 46, Issue 13 https://doi.org/10.1021/ma4005007	journal	June 2013
Lateral Packing of Mineral Crystals in Bone Collagen Fibrils Burger, Christian; Zhou, Hong-wen; Wang, Hao Biophysical Journal, Vol. 95, Issue 4 https://doi.org/10.1529/biophysj.107.128355	journal	August 2008
Analysis of the small-angle X-ray scattering of linear polyethylene by a paracrystalline lattice model Brämer, R.; Gerdes, Ch.; Wenig, W. Colloid and Polymer Science, Vol. 261, Issue 4 https://doi.org/10.1007/BF01413934	journal	April 1983
Eindimensionale Röntgenkleinwinkelstreuformeln parakristalliner Lamellenclusterstrukturen Brämer, R. Kolloid-Zeitschrift und Zeitschrift für Polymere, Vol. 250, Issue 11-12 https://doi.org/10.1007/BF01498885	journal	November 1972
SAXS of self-assembled oriented lamellar nanocomposite films: an advanced method of evaluation Ruland, Wilhelm; Smarsly, Bernd Journal of Applied Crystallography, Vol. 37, Issue 4 https://doi.org/10.1107/S0021889804011288	journal	July 2004
Structural studies of complex systems using small-angle scattering: a unified Guinier/power-law approach Beaucage, G.; Schaefer, D. W. Journal of Non-Crystalline Solids, Vol. 172-174 https://doi.org/10.1016/0022-3093(94)90581-9	journal	September 1994
Approximations Leading to a Unified Exponential/Power-Law Approach to Small-Angle Scattering Beaucage, G. Journal of Applied Crystallography, Vol. 28, Issue 6 https://doi.org/10.1107/S0021889895005292	journal	December 1995
Small-Angle Scattering from Polymeric Mass Fractals of Arbitrary Mass-Fractal Dimension Beaucage, G. Journal of Applied Crystallography, Vol. 29, Issue 2 https://doi.org/10.1107/S0021889895011605	journal	April 1996
Thermodynamic stability of worm-like micelle solutions Vogtt, Karsten; Beaucage, Gregory; Weaver, Michael Soft Matter, Vol. 13, Issue 36 https://doi.org/10.1039/C7SM01132F	journal	January 2017
Nano-structured, semicrystalline polymer foams Beaucage, G.; Aubert, J. H.; Lagasse, R. R. Journal of Polymer Science Part B: Polymer Physics, Vol. 34, Issue 17 https://doi.org/10.1002/(SICI)1099-0488(199612)34:17<3063::AID-POLB18>3.0.CO;2-5	journal	December 1996
Phase equilibria of linear polyethylene with supercritical propane Condo, P. D.; Colman, E. J.; Ehrlich, P. Macromolecules, Vol. 25, Issue 2 https://doi.org/10.1021/ma00028a038	journal	January 1992
Quantification of Dispersion for Weakly and Strongly Correlated Nanofillers in Polymer Nanocomposites McGlasson, Alex; Rishi, Kabir; Beaucage, Gregory Macromolecules, Vol. 53, Issue 6 https://doi.org/10.1021/acs.macromol.9b02429	journal	March 2020
Crystal thickness distributions from melting homopolymers or random copolymers Crist, Buckley; Mirabella, Francis M. Journal of Polymer Science Part B: Polymer Physics, Vol. 37, Issue 21 https://doi.org/10.1002/(SICI)1099-0488(19991101)37:21<3131::AID-POLB22>3.0.CO;2-M	journal	November 1999
Method for Calculation of the Lamellar Thickness Distribution of Not-Reorganized Linear Polyethylene Using Fast Scanning Calorimetry in Heating Furushima, Yoshitomo; Nakada, Masaru; Murakami, Masataka Macromolecules, Vol. 48, Issue 24 https://doi.org/10.1021/acs.macromol.5b02278	journal	December 2015
Crystallization of bulk polymers with chain folding: theory of growth of lamellar spherulites Hoffman, John D.; Lauritzen, John I. Journal of Research of the National Bureau of Standards Section A: Physics and Chemistry, Vol. 65A, Issue 4 https://doi.org/10.6028/jres.065A.035	journal	July 1961
Effect of molecular structure on rheological and crystallization properties of polyethylenes Shroff, R.; Prasad, A.; Lee, C. Journal of Polymer Science Part B: Polymer Physics, Vol. 34, Issue 14 https://doi.org/10.1002/(SICI)1099-0488(199610)34:14<2317::AID-POLB3>3.0.CO;2-T	journal	October 1996
Computation of the linear viscoelastic relaxation spectrum from experimental data Ramkumar, D. H. S.; Caruthers, J. M.; Mavridis, H. Journal of Applied Polymer Science, Vol. 64, Issue 11 https://doi.org/10.1002/(SICI)1097-4628(19970613)64:11<2177::AID-APP14>3.0.CO;2-1	journal	June 1997
Morphological study of HDPE blown films by SAXS, SEM and TEM: a relationship between the melt elasticity parameter and lamellae orientation Prasad, A.; Shroff, R.; Rane, S. Polymer, Vol. 42, Issue 7 https://doi.org/10.1016/S0032-3861(00)00612-1	journal	March 2001
A Phenomenological Theory of Spherulitic Crystallization Keith, H. D.; Padden, F. J. Journal of Applied Physics, Vol. 34, Issue 8 https://doi.org/10.1063/1.1702757	journal	August 1963
Spherulitic Crystallization from the Melt. I. Fractionation and Impurity Segregation and Their Influence on Crystalline Morphology Keith, H. D.; Padden, F. J. Journal of Applied Physics, Vol. 35, Issue 4 https://doi.org/10.1063/1.1713606	journal	April 1964
Spherulitic Crystallization from the Melt. II. Influence of Fractionation and Impurity Segregation on the Kinetics of Crystallization Keith, H. D.; Padden, F. J. Journal of Applied Physics, Vol. 35, Issue 4 https://doi.org/10.1063/1.1713607	journal	April 1964
The influence of amylose on starch granule structure Jenkins, P. J.; Donald, A. M. International Journal of Biological Macromolecules, Vol. 17, Issue 6 https://doi.org/10.1016/0141-8130(96)81838-1	journal	January 1995
Crystallization and morphology development in polyethylene–octakis(n-octadecyldimethylsiloxy)octasilsesquioxane nanocomposite blends Heeley, E. L.; Hughes, D. J.; Taylor, P. G. RSC Advances, Vol. 5, Issue 44 https://doi.org/10.1039/C5RA03267A	journal	January 2015
Structural Investigation at Nanometric Length Scale of Ethylene/1-Octene Multiblock Copolymers from Chain-Shuttling Technology Auriemma, Finizia; Rosa, Claudio De; Scoti, Miriam Macromolecules, Vol. 51, Issue 23 https://doi.org/10.1021/acs.macromol.8b01947	journal	November 2018
Particle size distributions from small-angle scattering using global scattering functions Beaucage, G.; Kammler, H. K.; Pratsinis, S. E. Journal of Applied Crystallography, Vol. 37, Issue 4 https://doi.org/10.1107/S0021889804008969	journal	July 2004
The determination of the lamellar thickness in semi-crystalline polymers by small-angle scattering Vonk, C. G. Makromolekulare Chemie. Macromolecular Symposia, Vol. 15, Issue 1 https://doi.org/10.1002/masy.19880150116	journal	March 1988
A small-angle X-ray scattering study of the absorption of water into the starch granule Cameron, Ruth E.; Donald, Athene M. Carbohydrate Research, Vol. 244, Issue 2 https://doi.org/10.1016/0008-6215(83)85003-4	journal	June 1993
Analysis of Small-Angle X-Ray Scattering Patterns Crist, Buckley Journal of Macromolecular Science, Part B, Vol. 39, Issue 4 https://doi.org/10.1081/MB-100100401	journal	July 2000

Similar Records

A scattering function for correlated lamellae

Journal Article · 2021 · Polymer · OSTI ID:1868648

Camara, Michael; Rishi, Kabir; Beaucage, Gregory; +1 more

SCF wave functions for (CuO[sub 2])[sub n] Lamella in crystal field of T[sup [prime]] - Nd[sub 2]CuO[sub 4]

Journal Article · 1993 · International Journal of Quantum Chemistry; (United States) · OSTI ID:6390435

Acrivos, J V; Stradella, O

Lamellae of α phase in a metastable β-Ti alloy studied by small-angle x-ray scattering

Journal Article · 2022 · Materials Characterization · OSTI ID:2404965

Šmilauerová, Jana; Harcuba, Petr; Stráská, Jitka; +5 more

A scattering function for correlated lamellae

Citation Formats

References (52)

Similar Records

Related Subjects