Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents

Abstract Lamellar assembly in unusual sector-face PLLA spherulites from crystallization of poly(l-lactic acid) (PLLA) diluted with amorphous poly(methyl methacrylate) (PMMA). The growth and morphology of the crystalline structures is studied using polarized optical microscopy (POM), atomic-force and...

Full description

Bibliographic Details
Main Authors: Graecia Lugito, Selvaraj Nagarajan, Eamor M. Woo
Format: Article
Language:English
Published: Nature Publishing Group 2020-07-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-020-67567-5
id doaj-a319bfcec4ca4c69ac7e6a8dd616e350
record_format Article
spelling doaj-a319bfcec4ca4c69ac7e6a8dd616e3502021-07-04T11:25:53ZengNature Publishing GroupScientific Reports2045-23222020-07-0110111410.1038/s41598-020-67567-5Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluentsGraecia Lugito0Selvaraj Nagarajan1Eamor M. Woo2Department of Chemical Engineering, National Cheng Kung UniversityDepartment of Chemical Engineering, National Cheng Kung UniversityDepartment of Chemical Engineering, National Cheng Kung UniversityAbstract Lamellar assembly in unusual sector-face PLLA spherulites from crystallization of poly(l-lactic acid) (PLLA) diluted with amorphous poly(methyl methacrylate) (PMMA). The growth and morphology of the crystalline structures is studied using polarized optical microscopy (POM), atomic-force and scanning electron microscopies (AFM, SEM). Crystals are also analyzed using differential scanning calorimetry (DSC) and small-angle X-ray scattering (SAXS). The two alternate sectored faces differ dramatically in their optical birefringence and top-surface and interior lamellar assembly. By originating from the nucleus center, an explosive fan-like sector of high-birefringence lamellae is packed by fractal growth from an initial single stalk into hundreds of branches upon reaching the periphery, with the number of stalks increasing roughly by the Fibonacci sequence along the radial distance. The exploded pattern resembles a cross-hatch grating structure, and displays a cauliflower-like fractal-branching of optical birefringence blue/orange stripes. This finding suggests that growth with periodic branching is one of the main mechanisms to fill the ever-expanding space in the spherulitic 3D aggregates.https://doi.org/10.1038/s41598-020-67567-5
collection DOAJ
language English
format Article
sources DOAJ
author Graecia Lugito
Selvaraj Nagarajan
Eamor M. Woo
spellingShingle Graecia Lugito
Selvaraj Nagarajan
Eamor M. Woo
Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents
Scientific Reports
author_facet Graecia Lugito
Selvaraj Nagarajan
Eamor M. Woo
author_sort Graecia Lugito
title Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents
title_short Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents
title_full Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents
title_fullStr Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents
title_full_unstemmed Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents
title_sort explosive fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents
publisher Nature Publishing Group
series Scientific Reports
issn 2045-2322
publishDate 2020-07-01
description Abstract Lamellar assembly in unusual sector-face PLLA spherulites from crystallization of poly(l-lactic acid) (PLLA) diluted with amorphous poly(methyl methacrylate) (PMMA). The growth and morphology of the crystalline structures is studied using polarized optical microscopy (POM), atomic-force and scanning electron microscopies (AFM, SEM). Crystals are also analyzed using differential scanning calorimetry (DSC) and small-angle X-ray scattering (SAXS). The two alternate sectored faces differ dramatically in their optical birefringence and top-surface and interior lamellar assembly. By originating from the nucleus center, an explosive fan-like sector of high-birefringence lamellae is packed by fractal growth from an initial single stalk into hundreds of branches upon reaching the periphery, with the number of stalks increasing roughly by the Fibonacci sequence along the radial distance. The exploded pattern resembles a cross-hatch grating structure, and displays a cauliflower-like fractal-branching of optical birefringence blue/orange stripes. This finding suggests that growth with periodic branching is one of the main mechanisms to fill the ever-expanding space in the spherulitic 3D aggregates.
url https://doi.org/10.1038/s41598-020-67567-5
work_keys_str_mv AT graecialugito explosivefibonaccisequencegrowthintounusualsectorfacemorphologyinpolyllacticacidcrystallizedwithpolymericdiluents
AT selvarajnagarajan explosivefibonaccisequencegrowthintounusualsectorfacemorphologyinpolyllacticacidcrystallizedwithpolymericdiluents
AT eamormwoo explosivefibonaccisequencegrowthintounusualsectorfacemorphologyinpolyllacticacidcrystallizedwithpolymericdiluents
_version_ 1721320437844017152