Assembly of confined nanoparticles in nematic phases

The study of nematic phases covers diverse branches of academics. Form a purely academical standpoint, the morphologies exhibited by this material are the most direct and tangible way of demonstrating algebraic topology. From experimental work, this material is the perfect messenger of molecular eve...

Full description

Autores:
Palacio Betancur, Viviana
Tipo de recurso:
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/59896
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/59896
http://bdigital.unal.edu.co/57708/
Palabra clave:
66 Ingeniería química y Tecnologías relacionadas/ Chemical engineering
Nematic Liquid Crystals
Free energy functionals
Computational physics
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_922baa3bf76b5867f9e93bc633bd255b
oai_identifier_str oai:repositorio.unal.edu.co:unal/59896
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv Assembly of confined nanoparticles in nematic phases
title Assembly of confined nanoparticles in nematic phases
spellingShingle Assembly of confined nanoparticles in nematic phases
66 Ingeniería química y Tecnologías relacionadas/ Chemical engineering
Nematic Liquid Crystals
Free energy functionals
Computational physics
title_short Assembly of confined nanoparticles in nematic phases
title_full Assembly of confined nanoparticles in nematic phases
title_fullStr Assembly of confined nanoparticles in nematic phases
title_full_unstemmed Assembly of confined nanoparticles in nematic phases
title_sort Assembly of confined nanoparticles in nematic phases
dc.creator.fl_str_mv Palacio Betancur, Viviana
dc.contributor.author.spa.fl_str_mv Palacio Betancur, Viviana
dc.contributor.spa.fl_str_mv Hernández Ortiz, Juan Pablo
dc.subject.ddc.spa.fl_str_mv 66 Ingeniería química y Tecnologías relacionadas/ Chemical engineering
topic 66 Ingeniería química y Tecnologías relacionadas/ Chemical engineering
Nematic Liquid Crystals
Free energy functionals
Computational physics
dc.subject.proposal.spa.fl_str_mv Nematic Liquid Crystals
Free energy functionals
Computational physics
description The study of nematic phases covers diverse branches of academics. Form a purely academical standpoint, the morphologies exhibited by this material are the most direct and tangible way of demonstrating algebraic topology. From experimental work, this material is the perfect messenger of molecular events since any occurrence on the surface of the system modifies the molecular orientation and the effects of this change is felt over macroscopic distances thus emitting a different optical signal. From the theoretical point of view, the behavior of nematic phases is found in a wide variety of materials, specially in biological materials, thus any model that represents different phases in an accurate matter serves for the prediction of equilibrium states that later can be harnessed in technological applications. In this thesis we focus on the study of confined nematics from the theoretical point of view using a free energy functional in the continuum scale. The free energy minimization is done with two methods: a relaxation that stems from the Euler--Lagrange equations, and a novel theoretically informed Monte Carlo method. The results presented here consist on a numerical analysis of meshfree interpolation schemes in 3D, and a formulation of a new methodology that allows the calculation of gradients with high accuracy and efficiency. The second part of this document is dedicated to the analysis of confined chiral nematics, specially focused on the effect curvature has on the formation of blue phases. The third part consists on the study of nematic colloids, more specifically nanoparticles adsorbed in bipolar droplets in order to determine self-assembled structures.
publishDate 2016
dc.date.issued.spa.fl_str_mv 2016-08-26
dc.date.accessioned.spa.fl_str_mv 2019-07-02T17:03:51Z
dc.date.available.spa.fl_str_mv 2019-07-02T17:03:51Z
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TM
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/59896
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/57708/
url https://repositorio.unal.edu.co/handle/unal/59896
http://bdigital.unal.edu.co/57708/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Sede Medellín Facultad de Minas Escuela de Ingeniería de Materiales
Escuela de Ingeniería de Materiales
dc.relation.references.spa.fl_str_mv Palacio Betancur, Viviana (2016) Assembly of confined nanoparticles in nematic phases. Maestría thesis, Universidad Nacional de Colombia-Sede Medellín.
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/59896/16/1088290607.2016.1.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/13/1088290607.2016.2.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/7/1088290607.2016.3.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/1/1088290607.2016.4a.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/2/1088290607.2016.4g.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/3/1088290607.2016.4e.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/9/1088290607.2016.4b.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/10/1088290607.2016.4i.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/11/1088290607.2016.4d.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/12/1088290607.2016.4h.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/15/1088290607.2016.4c.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/17/1088290607.2016.4f.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/4/1088290607.2016.5c.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/5/1088290607.2016.5b.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/8/1088290607.2016.5d.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/14/1088290607.2016.5a.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/6/1088290607.2016.6.pdf
https://repositorio.unal.edu.co/bitstream/unal/59896/18/1088290607.2016.4a.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/19/1088290607.2016.4g.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/20/1088290607.2016.4e.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/21/1088290607.2016.5c.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/22/1088290607.2016.5b.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/23/1088290607.2016.6.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/24/1088290607.2016.3.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/25/1088290607.2016.5d.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/26/1088290607.2016.4b.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/27/1088290607.2016.4i.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/28/1088290607.2016.4d.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/29/1088290607.2016.4h.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/30/1088290607.2016.2.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/31/1088290607.2016.5a.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/32/1088290607.2016.4c.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/33/1088290607.2016.1.pdf.jpg
https://repositorio.unal.edu.co/bitstream/unal/59896/34/1088290607.2016.4f.pdf.jpg
bitstream.checksum.fl_str_mv 3e8c82deb36917e954403ee1ec06fa2c
6d22603db5835c74b6fe8fe46712a8eb
0a579243d9acdfddeab271cb5339fca6
7921fbd7bfedd55f6cec59f613163e94
e3f1734956771c06eab2e8993a9d4018
bea86a3b2cca2149baf12f3c586f9526
d8f5b9a56c99c8c68f05cae92b3336ba
f29d1bffcc0ada2f8bb4544bae8af3cd
ca4c92e0dc1ad4c08ebe8cb8ecd557bf
b6ffb74b4b510526c0eeb2d457a30f32
77c8e39b81da21ccc04107bccde62e14
1fd18343d6f77156322e487081a44261
df93f7f7e62bb3c4a9263fb8ef9b997e
9cc14cfa99504710e1098bc62c5a5769
5b78f7bf6cf0bee13b513a5729783528
2b8174300a99ff95c4b939037c41f31a
51d01d2e0fb9c50771b81feac5eed3b6
b72547bdb1db7093420550a13bc2885d
702a608fa250279f5174908248ae05bd
648d3e1c9d372ab0bf879c7299cb086d
a4ca784a7672da39e07f71ca4602b54e
05aa40f3f2550c42d88be0813e4ede7c
c5aa56a044bb198caa225bc64ac428a9
6fba438f2f0ba780dc9fee52bf2f7f60
1dea71e4ca6a83ca986e5b0d14367af1
c713d8ddecd2613f2097d555e15aa8f0
8a0f53808620e25f516017311fb4146b
babfd075400d9cfef231caad71c27a8d
4e27de011b07c7dbffa443f415bca205
45c9cac0d9c747189a366b6bc99192c5
6a7a549d4c7a84afacb66cf344e08eef
f45d7f96b3091d8cdc63af41a16d949f
a0e327148a873bbbedebf9a8778b73f2
b1b99a984a70ceb7eed87ad078ae4cd4
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
_version_ 1806886428900065280
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Hernández Ortiz, Juan PabloPalacio Betancur, Viviana554680d9-aa14-4aac-835e-3a4e63bc7bf63002019-07-02T17:03:51Z2019-07-02T17:03:51Z2016-08-26https://repositorio.unal.edu.co/handle/unal/59896http://bdigital.unal.edu.co/57708/The study of nematic phases covers diverse branches of academics. Form a purely academical standpoint, the morphologies exhibited by this material are the most direct and tangible way of demonstrating algebraic topology. From experimental work, this material is the perfect messenger of molecular events since any occurrence on the surface of the system modifies the molecular orientation and the effects of this change is felt over macroscopic distances thus emitting a different optical signal. From the theoretical point of view, the behavior of nematic phases is found in a wide variety of materials, specially in biological materials, thus any model that represents different phases in an accurate matter serves for the prediction of equilibrium states that later can be harnessed in technological applications. In this thesis we focus on the study of confined nematics from the theoretical point of view using a free energy functional in the continuum scale. The free energy minimization is done with two methods: a relaxation that stems from the Euler--Lagrange equations, and a novel theoretically informed Monte Carlo method. The results presented here consist on a numerical analysis of meshfree interpolation schemes in 3D, and a formulation of a new methodology that allows the calculation of gradients with high accuracy and efficiency. The second part of this document is dedicated to the analysis of confined chiral nematics, specially focused on the effect curvature has on the formation of blue phases. The third part consists on the study of nematic colloids, more specifically nanoparticles adsorbed in bipolar droplets in order to determine self-assembled structures.Resumen: El estudio de fases nemáticas se ha realizado desde diversas ramas de la academia. Desde un punto de vista exclusivamente teórico, las morfologías que se encuentran en este tipo de material son la evidencia más directa y tangible de la topología algebraica. Desde el trabajo experimental, este material traduce eventos moleculares a señales ´ópticas perceptibles a simple vista, gracias a que eventos que ocurren en la superficie del sistema modifica las orientaciones moleculares y estas se amplifican hasta distancias macroscópicas. Desde la teoría, el comportamiento de las fases nemáticas ha sido observado en diferentes materiales, especialmente biológicos, y un modelo que represente estas fases sirve como herramienta para predecir estructuras estables que pueden ser aprovechados en aplicaciones tecnológicas. Esta tesis está enfocada al estudio teórico en la escala continua de nemáticos confinados. La minimización de la energía libre se hace por dos métodos: una relajación que proviene de las ecuaciones de Euler–Lagrange, y un método novedoso que emplea la información del funcional de energía libre para la minimización por medio de un método Monte Carlo. Los resultados contenidos en este documento constan del análisis numérico de esquemas de interpolación en 3D y una nueva metodología que permite el cálculo de gradientes con gran eficiencia y precisión. La segunda parte contiene el estudio de nemáticos quirales confinados, especialmente el efecto de la curvatura sobre la formación de fases azules. La tercera parte consiste en el estudio de coloides nemáticos, específicamente en nanopartículas adsorbidas en la superficie de gotas bipolares con el fin de determinar estructuras ensambladas espontáneamenteMaestríaapplication/pdfspaUniversidad Nacional de Colombia Sede Medellín Facultad de Minas Escuela de Ingeniería de MaterialesEscuela de Ingeniería de MaterialesPalacio Betancur, Viviana (2016) Assembly of confined nanoparticles in nematic phases. Maestría thesis, Universidad Nacional de Colombia-Sede Medellín.66 Ingeniería química y Tecnologías relacionadas/ Chemical engineeringNematic Liquid CrystalsFree energy functionalsComputational physicsAssembly of confined nanoparticles in nematic phasesTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMORIGINAL1088290607.2016.1.pdfTesis de Maestría en Ingeniería – Materiales y Procesos1application/pdf533958https://repositorio.unal.edu.co/bitstream/unal/59896/16/1088290607.2016.1.pdf3e8c82deb36917e954403ee1ec06fa2cMD5161088290607.2016.2.pdfTesis de Maestría en Ingeniería – Materiales y Procesos2application/pdf3456866https://repositorio.unal.edu.co/bitstream/unal/59896/13/1088290607.2016.2.pdf6d22603db5835c74b6fe8fe46712a8ebMD5131088290607.2016.3.pdfTesis de Maestría en Ingeniería – Materiales y Procesos3application/pdf14866388https://repositorio.unal.edu.co/bitstream/unal/59896/7/1088290607.2016.3.pdf0a579243d9acdfddeab271cb5339fca6MD571088290607.2016.4a.pdfTesis de Maestría en Ingeniería – Materiales y Procesos4application/pdf3457623https://repositorio.unal.edu.co/bitstream/unal/59896/1/1088290607.2016.4a.pdf7921fbd7bfedd55f6cec59f613163e94MD511088290607.2016.4g.pdfTesis de Maestría en Ingeniería – Materiales y Procesos4application/pdf11403648https://repositorio.unal.edu.co/bitstream/unal/59896/2/1088290607.2016.4g.pdfe3f1734956771c06eab2e8993a9d4018MD521088290607.2016.4e.pdfTesis de Maestría en Ingeniería – Materiales y Procesos4application/pdf90430https://repositorio.unal.edu.co/bitstream/unal/59896/3/1088290607.2016.4e.pdfbea86a3b2cca2149baf12f3c586f9526MD531088290607.2016.4b.pdfTesis de Maestría en Ingeniería – Materiales y Procesos4application/pdf31399483https://repositorio.unal.edu.co/bitstream/unal/59896/9/1088290607.2016.4b.pdfd8f5b9a56c99c8c68f05cae92b3336baMD591088290607.2016.4i.pdfTesis de Maestría en Ingeniería – Materiales y Procesos4application/pdf27818481https://repositorio.unal.edu.co/bitstream/unal/59896/10/1088290607.2016.4i.pdff29d1bffcc0ada2f8bb4544bae8af3cdMD5101088290607.2016.4d.pdfTesis de Maestría en Ingeniería – Materiales y Procesos4application/pdf40666172https://repositorio.unal.edu.co/bitstream/unal/59896/11/1088290607.2016.4d.pdfca4c92e0dc1ad4c08ebe8cb8ecd557bfMD5111088290607.2016.4h.pdfTesis de Maestría en Ingeniería – Materiales y Procesos4application/pdf27195118https://repositorio.unal.edu.co/bitstream/unal/59896/12/1088290607.2016.4h.pdfb6ffb74b4b510526c0eeb2d457a30f32MD5121088290607.2016.4c.pdfTesis de Maestría en Ingeniería – Materiales y Procesos4application/pdf202315https://repositorio.unal.edu.co/bitstream/unal/59896/15/1088290607.2016.4c.pdf77c8e39b81da21ccc04107bccde62e14MD5151088290607.2016.4f.pdfTesis de Maestría en Ingeniería – Materiales y Procesos4application/pdf20986436https://repositorio.unal.edu.co/bitstream/unal/59896/17/1088290607.2016.4f.pdf1fd18343d6f77156322e487081a44261MD5171088290607.2016.5c.pdfTesis de Maestría en Ingeniería – Materiales y Procesos5application/pdf13503820https://repositorio.unal.edu.co/bitstream/unal/59896/4/1088290607.2016.5c.pdfdf93f7f7e62bb3c4a9263fb8ef9b997eMD541088290607.2016.5b.pdfTesis de Maestría en Ingeniería – Materiales y Procesos5application/pdf20971743https://repositorio.unal.edu.co/bitstream/unal/59896/5/1088290607.2016.5b.pdf9cc14cfa99504710e1098bc62c5a5769MD551088290607.2016.5d.pdfTesis de Maestría en Ingeniería – Materiales y Procesos5application/pdf14800178https://repositorio.unal.edu.co/bitstream/unal/59896/8/1088290607.2016.5d.pdf5b78f7bf6cf0bee13b513a5729783528MD581088290607.2016.5a.pdfTesis de Maestría en Ingeniería – Materiales y Procesos5application/pdf1711866https://repositorio.unal.edu.co/bitstream/unal/59896/14/1088290607.2016.5a.pdf2b8174300a99ff95c4b939037c41f31aMD5141088290607.2016.6.pdfTesis de Maestría en Ingeniería – Materiales y Procesos6application/pdf217865https://repositorio.unal.edu.co/bitstream/unal/59896/6/1088290607.2016.6.pdf51d01d2e0fb9c50771b81feac5eed3b6MD56THUMBNAIL1088290607.2016.4a.pdf.jpg1088290607.2016.4a.pdf.jpgGenerated Thumbnailimage/jpeg6780https://repositorio.unal.edu.co/bitstream/unal/59896/18/1088290607.2016.4a.pdf.jpgb72547bdb1db7093420550a13bc2885dMD5181088290607.2016.4g.pdf.jpg1088290607.2016.4g.pdf.jpgGenerated Thumbnailimage/jpeg8376https://repositorio.unal.edu.co/bitstream/unal/59896/19/1088290607.2016.4g.pdf.jpg702a608fa250279f5174908248ae05bdMD5191088290607.2016.4e.pdf.jpg1088290607.2016.4e.pdf.jpgGenerated Thumbnailimage/jpeg7767https://repositorio.unal.edu.co/bitstream/unal/59896/20/1088290607.2016.4e.pdf.jpg648d3e1c9d372ab0bf879c7299cb086dMD5201088290607.2016.5c.pdf.jpg1088290607.2016.5c.pdf.jpgGenerated Thumbnailimage/jpeg7958https://repositorio.unal.edu.co/bitstream/unal/59896/21/1088290607.2016.5c.pdf.jpga4ca784a7672da39e07f71ca4602b54eMD5211088290607.2016.5b.pdf.jpg1088290607.2016.5b.pdf.jpgGenerated Thumbnailimage/jpeg7933https://repositorio.unal.edu.co/bitstream/unal/59896/22/1088290607.2016.5b.pdf.jpg05aa40f3f2550c42d88be0813e4ede7cMD5221088290607.2016.6.pdf.jpg1088290607.2016.6.pdf.jpgGenerated Thumbnailimage/jpeg6203https://repositorio.unal.edu.co/bitstream/unal/59896/23/1088290607.2016.6.pdf.jpgc5aa56a044bb198caa225bc64ac428a9MD5231088290607.2016.3.pdf.jpg1088290607.2016.3.pdf.jpgGenerated Thumbnailimage/jpeg7053https://repositorio.unal.edu.co/bitstream/unal/59896/24/1088290607.2016.3.pdf.jpg6fba438f2f0ba780dc9fee52bf2f7f60MD5241088290607.2016.5d.pdf.jpg1088290607.2016.5d.pdf.jpgGenerated Thumbnailimage/jpeg7876https://repositorio.unal.edu.co/bitstream/unal/59896/25/1088290607.2016.5d.pdf.jpg1dea71e4ca6a83ca986e5b0d14367af1MD5251088290607.2016.4b.pdf.jpg1088290607.2016.4b.pdf.jpgGenerated Thumbnailimage/jpeg7713https://repositorio.unal.edu.co/bitstream/unal/59896/26/1088290607.2016.4b.pdf.jpgc713d8ddecd2613f2097d555e15aa8f0MD5261088290607.2016.4i.pdf.jpg1088290607.2016.4i.pdf.jpgGenerated Thumbnailimage/jpeg7691https://repositorio.unal.edu.co/bitstream/unal/59896/27/1088290607.2016.4i.pdf.jpg8a0f53808620e25f516017311fb4146bMD5271088290607.2016.4d.pdf.jpg1088290607.2016.4d.pdf.jpgGenerated Thumbnailimage/jpeg7544https://repositorio.unal.edu.co/bitstream/unal/59896/28/1088290607.2016.4d.pdf.jpgbabfd075400d9cfef231caad71c27a8dMD5281088290607.2016.4h.pdf.jpg1088290607.2016.4h.pdf.jpgGenerated Thumbnailimage/jpeg7826https://repositorio.unal.edu.co/bitstream/unal/59896/29/1088290607.2016.4h.pdf.jpg4e27de011b07c7dbffa443f415bca205MD5291088290607.2016.2.pdf.jpg1088290607.2016.2.pdf.jpgGenerated Thumbnailimage/jpeg7041https://repositorio.unal.edu.co/bitstream/unal/59896/30/1088290607.2016.2.pdf.jpg45c9cac0d9c747189a366b6bc99192c5MD5301088290607.2016.5a.pdf.jpg1088290607.2016.5a.pdf.jpgGenerated Thumbnailimage/jpeg7240https://repositorio.unal.edu.co/bitstream/unal/59896/31/1088290607.2016.5a.pdf.jpg6a7a549d4c7a84afacb66cf344e08eefMD5311088290607.2016.4c.pdf.jpg1088290607.2016.4c.pdf.jpgGenerated Thumbnailimage/jpeg7786https://repositorio.unal.edu.co/bitstream/unal/59896/32/1088290607.2016.4c.pdf.jpgf45d7f96b3091d8cdc63af41a16d949fMD5321088290607.2016.1.pdf.jpg1088290607.2016.1.pdf.jpgGenerated Thumbnailimage/jpeg4085https://repositorio.unal.edu.co/bitstream/unal/59896/33/1088290607.2016.1.pdf.jpga0e327148a873bbbedebf9a8778b73f2MD5331088290607.2016.4f.pdf.jpg1088290607.2016.4f.pdf.jpgGenerated Thumbnailimage/jpeg7577https://repositorio.unal.edu.co/bitstream/unal/59896/34/1088290607.2016.4f.pdf.jpgb1b99a984a70ceb7eed87ad078ae4cd4MD534unal/59896oai:repositorio.unal.edu.co:unal/598962023-10-13 20:50:36.75Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co