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University of Groningen

Large Scale Modelling of Photo-Excitation Processes in Materials with Application in Organic

Photovoltaics

Izquierdo Morelos, Maria Antonia

IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below.

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Publication date: 2019

Link to publication in University of Groningen/UMCG research database

Citation for published version (APA):

Izquierdo Morelos, M. A. (2019). Large Scale Modelling of Photo-Excitation Processes in Materials with Application in Organic Photovoltaics. University of Groningen.

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Large Scale Modelling of Photo-Excitation

Processes in Materials with Application in Organic

Photovoltaics

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Large Scale Modelling of Photo-Excitation Processes in Materials with Application in Organic Photovoltaics

María Antonia Izquierdo Morelos PhD thesis

University of Groningen The Netherlands

Zernike Institute PhD thesis series 2019-16 ISSN: 1570-1530

ISBN: 978-94-034-1639-7 (printed version) ISBN: 978-94-034-1638-0 (electronic version)

The work presented in this thesis was performed in the Theoretical Chemistry group of the Zernike Institute for Advanced Materials at the University of Groningen, The Netherlands, in the Quantum Chemistry of the Excited State University of Valencia, Spain and in the Amsterdam-based company Software for Chemistry & Materials, The Netherlands. This thesis is part of a European Joint Doctorate (EJD) in Theoretical Chemistry and Computational Modelling (TCCM), which was financed under the frame-work of the Innovative Training Netframe-works (ITN) of the MARIE Skłodowska-CURIE Actions (ITN-EJD-642294-TCCM).

08/07/16 14:35

Page 1 of 1 https://www.scm.com/wp-content/themes/scm/images/logos/scm-logo.svg

Cover artwork: “Lightopia” by the Venezuelan artist Carlos Cruz Diez Cover design: Ilse Modder, www.ilsemodder.nl

Printed by Gildeprint - Enschede c

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Large Scale Modelling of Photo-Excitation

Processes in Materials with Application in Organic

Photovoltaics

PhD thesis

to obtain the degree of PhD of the University of Groningen

on the authority of the Rector Magnificus Prof. E. Sterken

and in accordance with the decision by the College of Deans

and

to obtain the degree of PhD of the University of Valencia on the authority of the

Rector Magnificus Prof. M. V. Mestre Escrivá and in accordance with

the decision by the College of Deans Double PhD Degree

This thesis will be defended in public on Friday 3 May 2019 at 14:30 hours

by

María Antonia Izquierdo Morelos

born on 20 August 1987

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Supervisors Prof. R. Broer

Prof. A. Sánchez de Merás Co-supervisor

Dr. D. Roca Sanjuán Assessment Committee Prof. L. J. A. Koster Prof. E. Ortí Guillén Prof. M. Swart Prof. T. P. Straatsma

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“Your future hasn’t been written yet. No one’s has. Your future is whatever you make it. So make it a good one.”

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Table of Contents

Prologue 11

Chapter 1: Fundamentals of Electronic and Optoelectronic Processes 13

1.1. Overview 13

1.2. Organic Photovoltaics 13

1.2.1. Operating Principle 13

1.2.2. Device Architectures 14

1.2.3. Efficiency 15

1.2.4. Materials for D:A BHJs 15

1.2.5. Challenges 18

1.3.Efficiency Losses in Optoelectronics: Radiationless Decay Mechanisms. 19

References 22

Chapter 2: Objectives 27

2.1. General Objective 27

2.2. Specific Objectives 27

Chapter 3: Electronic Structure Methods 29

3.1. Overview 29

3.2. Hartree-Fock Theory and Electron Correlation Methods 30

3.2.1.Hartree-Fock Theory 30

3.2.2. Multi-Determinant Methods and Electron Correlation 33

3.3. Density Functional Theory 37

3.3.1. Kohn-Sham Equations 38

3.4. Time-Dependent Density Functional Theory 39 3.4.1. Linear Response of the Density Matrix 40

3.5. Embedding Models 41

3.5.1. Polarizable Continuum Model 41

3.5.2. Discrete Reaction Field Within the DFT Framework 42 3.6. Conical Intersections: Beyond the BO Approximation 42

References 45

Chapter 4: Extended Implementation of the Discrete Reaction Field Method 49 in the Amsterdam Density Functional Modelling Suite

4.1. Overview 49

4.2. Atomic Charges and Atomic Polarizabilities 50 7

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CHAPTER 0. TABLE OF CONTENTS

4.3. Test on Atomic Charges and Atomic Polarizabilities 50

4.4. Improved DRF Inputs for ADF 53

4.4.1. DRF Inputs from the GUI 53

4.4.2. DRF Inputs Coupled to PLAMS 53

References 55

Chapter 5: Calibration of Exchange-Correlation Functionals for Charge Trans- 57

fer States 57

5.1. Overview 57

5.2. Charge Transfer Energy of a D/A Model System 57

5.3. Conclusions 59

References 62

Chapter 6: Theoretical Study of the Charge Transfer Exciton Binding Energy 63 in Semiconductor Materials for Polymer:Fullerene Based Bulk Heterorojuncti-on Solar Cells

Abstract 63

6.1. Introduction 64

6.2. Methods 68

6.3. Results and Discussion 70

6.3.1. Absorption Properties of Photovoltaic Materials 70 6.3.2. Charge Transfer Energy and Exciton Binding Energy in BHJs 73

6.4. Conclusions 79

References 81

Chapter 7: Ab initio Quantum Chemistry Study of Luminescence in ⇡-Conju- 85 gated Compounds with Applications to Optoelectronic Devices

Abstract 85

7.1. Introduction 86

7.2. Methods 90

7.3. Results and Discussion 91

7.3.1. Ethene, Styrene and Stilbene 91

7.3. 2. DSB,↵-DMDCS, -DMDCS, ↵-TFDCS and -TFDCS 96

7.4. Conclusions 103

References 105

Chapter 8: Outlook and Perspective 109

8.1. Overview 109

8.2. Implementation of QM/DRF Energy Gradients in ADF 109 8.3. Electronic Couplings in D:A OPVs via NOCI 110

References 112

Chapter 9: Conclusions 113

Appendix A 115

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CHAPTER 0. TABLE OF CONTENTS Appendix B 121 Summary 133 Samenvatting 137 Resumen 141 List of Acronyms 151 Curriculum Vitae 155 Acknowledgments 159 9

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CHAPTER 0. TABLE OF CONTENTS :)

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Prologue

Organic photovoltaics represent a highly attractive choice of power generation in terms of cost and flexibility. However, the low efficiencies attained up to now limit their significant application. Such limitation has certainly stimulated fundamental research focused on materials design and device architectures. This dissertation,Large Scale Modelling of Photo-Excitation Processes in Materials with Application in Or-ganic Photovoltaics, investigates -using first principles theory and modelling- more efficient optoelectronic materials. New materials with promising applications in the field are proposed. Special attention is given to electron transfer processes in very large systems and to the prediction of non-radiative mechanisms that contribute to efficiency losses.

This thesis intends to be reader friendly, thus, it is structured in such a way that each Chapter is self-contained (although at the end of this manuscript a list of acronyms is presented). Chapter 1 provides the background for studying the photovoltaic and optoelectronic processes in organic photovoltaics. The state-of-the-art and the current challenges in the field are also described. Chapter 2 outlines the general objective and then it goes through the specific goals. Chapter 3 introduces the theoretical and computational methodologies used along this thesis. Methodologies are only briefly explained. A list of references is provided in case more details are required. Chapter 4 reports the software development contribution of this work. The extended implemen-tation of a polarizable force field, which is part of the Amsterdam Density Functional modeling suite released in 2017, is described. Chapter 5 describes a calibration of exchange-correlation functionals for density functional theory-based methods as the basis for the next Chapter. Chapter 6 studies the charge transfer exciton binding ener-gies in organic semiconductor materials for polymer:fullerene bulk heterojunction solar cells, and consists of a scientific paper published in the Journal of Physical Chem-istry A. Chapter 7 explores the potential energy surfaces of optoelectronic materials, and it is part of a scientific paper in preparation at the time of the thesis submission. Chapter 8 suggests further research lines connected to this project. Chapter 9 closes with the main achievements and general conclusions. For completeness, supplementary appendices and transferable academic achievements are presented.

This thesis is part of a European Joint Doctorate (EJD) in Theoretical Chem-istry and Computational Modelling (TCCM) of the University of Groningen (UG) and 11

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CHAPTER 0. PROLOGUE the University of Valencia (UV), in collaboration with the Software for Chemistry & Materials (SCM) company based in Amsterdam, financed by the Innovative Training Networks (ITN) of the MARIE Skłodowska-CURIE Actions (ITN-EJD-642294-TCCM).

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