Abstract
The theoretical understanding of structural and optoelectronic properties is well-established for a range of inorganic materials; however, such a robust foundation is, in large part, absent in the case of cellulose. Existing literature reports a wide variance in experimentally observed properties for cellulose phases, which are often in contradiction to each other. Motivated by this, we perform an exhaustive first-principles investigation of the structural and optoelectronic properties of cellulose Iα and Iβ phases. Utilizing exchange–correlation functionals that accurately describe van der Waals interaction and leveraging state-of-the-art density functional theory methods, we strive to present a highly accurate periodic model for the cellulose phases. We integrate the framework of volume-average theory and the potential impact of water sorption to offer insights into the considerable discrepancies seen across different experimental outcomes. Thus, our study provides a reconciliatory perspective, bridging the gap between theoretical calculations and disparate experimental data.
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Agarwal UP, Ralph SA, Baez C, Reiner RS, Verrill SP (2017) Effect of sample moisture content on XRD-estimated cellulose crystallinity index and crystallite size. Cellulose 24:1971–1984
Baroni S, De Gironcoli S, Dal Corso A, Giannozzi P (2001) Phonons and related crystal properties from density-functional perturbation theory. Rev Mod Phys 73(2):515
Berland K, Hyldgaard P (2014) Exchange functional that tests the robustness of the plasmon description of the van der waals density functional. Phys Rev B 89(3):035412
Blaha P, Schwarz K, Sorantin P, Trickey S (1990) Full-potential, linearized augmented plane wave programs for crystalline systems. Comput Phys Commun 59(2):399–415
Blöchl PE (1994) Projector augmented-wave method. Phys Rev B 50(24):17953
Boström M, Huang D, Yang W, Persson C, Sernelius BE (2014) Lithium atom storage in nanoporous cellulose via surface-induced Li2 breakage. EPL 104(6):63003
Boutros S, Hanna A (1978) Dielectric properties of moist cellulose. J Polym Sci Polym Chem Ed 16(1):89–94
Braun MM, Pilon L (2006) Effective optical properties of non-absorbing nanoporous thin films. Thin Solid Films 496(2):505–514
Calderon CE, Plata JJ, Toher C, Oses C, Levy O, Fornari M, Natan A, Mehl MJ, Hart G, Nardelli MB (2015) The aflow standard for high-throughput materials science calculations. Comput Mater Sci 108:233–238
Chen P, Nishiyama Y, Putaux J-L, Mazeau K (2014) Diversity of potential hydrogen bonds in cellulose I revealed by molecular dynamics simulation. Cellulose 21:897–908
Cockayne E, Burton BP (2000) Phonons and static dielectric constant in CaTiO3 from first principles. Phys Rev B 62(6):3735
Crovetto A, Chen R, Ettlinger RB, Cazzaniga AC, Schou J, Persson C, Hansen O (2016) Dielectric function and double absorption onset of monoclinic Cu2SnS3: Origin of experimental features explained by first-principles calculations. Sol Energy Mater Sol Cells 154:121–129
Dion M, Rydberg H, Schröder E, Langreth DC, Lundqvist BI (2004) Van der waals density functional for general geometries. Phys Rev Lett 92(24):246401
Elbaum M, Schick M (1991) Application of the theory of dispersion forces to the surface melting of ice. Phys Rev Lett 66(13):1713
Fiedler J, Boström M, Persson C, Brevik I, Corkery R, Buhmann SY, Parsons DF (2020) Full-spectrum high-resolution modeling of the dielectric function of water. J Phys Chem B 124(15):3103–3113
French AD (1978) The crystal structure of native ramie cellulose. Carbohydr Res 61(1):67–80
French AD (2014) Idealized powder diffraction patterns for cellulose polymorphs. Cellulose 21(2):885–896
Gajdoš M, Hummer K, Kresse G, Furthmüller J, Bechstedt F (2006) Linear optical properties in the projector-augmented wave methodology. Phys Rev B 73(4):045112
Gardiner ES, Sarko A (1985) Packing analysis of carbohydrates and polysaccharides 16. The crystal structures of celluloses IVI and IVII. Can J Chem 63(1):173–180
Gigli L, Veit M, Kotiuga M, Pizzi G, Marzari N, Ceriotti M (2022) Thermodynamics and dielectric response of BaTiO3 by data-driven modeling. NPJ Comp Mater 8(1):209
Gonze X (1997) First-principles responses of solids to atomic displacements and homogeneous electric fields: Implementation of a conjugate-gradient algorithm. Phys Rev B 55(16):10337
Gonze X, Lee C (1997) Dynamical matrices, born effective charges, dielectric permittivity tensors, and interatomic force constants from density-functional perturbation theory. Phys Rev B 55(16):10355
Gonze X, Allan DC, Teter MP (1992) Dielectric tensor, effective charges, and phonons in α-quartz by variational density-functional perturbation theory. Phys Rev Lett 68(24):3603
Hamada I (2014) Van der waals density functional made accurate. Phys Rev B 89(12):121103
Hou W, Yang L, Mo Y, Yin F, Huang Y, Zheng X (2021) Static dielectric constant and dielectric loss of cellulose insulation: Molecular dynamics simulations. High Voltage 6(6):1051–1060
Jain A, Ong SP, Hautier G, Chen W, Richards WD, Dacek S, Cholia S, Gunter D, Skinner D, Ceder G (2013) Commentary: The materials project: a materials genome approach to accelerating materials innovation. APL materials 1(1):011002
Jose J, Thomas V, John J, Mathew RM, Salam JA, Jose G, Abraham R (2021) Effect of temperature and frequency on the dielectric properties of cellulose nanofibers from cotton. J Mater Sci Mater Electron 32:21213–21224
Joshi H, Wlazło M, Gopidi HR, Malyi OI (2024) Temperature-induced suppression of structural disproportionation in paramagnetic quantum materials. J Appl Phys 135 (5):053901
Kane DE (1955) The relationship between the dielectric constant and water-vapor accessibility of cellulose. J Polym Sci 18(89):405–410
Kirklin S, Saal JE, Meredig B, Thompson A, Doak JW, Aykol M, Rühl S, Wolverton C (2015) The open quantum materials database (OQMD): Assessing the accuracy of DFT formation energies. NPJ Comput Mater 1(1):1–15
Klimeš J, Bowler DR, Michaelides A (2009) Chemical accuracy for the van der waals density functional. J Condens Matter Phys 22(2):022201
Klimeš J, Bowler DR, Michaelides A (2011) Van der waals density functionals applied to solids. Phys Rev B 83(19):195131
Kolpak F, Blackwell J (1976) Determination of the structure of cellulose II. Macromolecules 9(2):273–278
Kotiuga M, Halilov S, Kozinsky B, Fornari M, Marzari N, Pizzi G (2022) Microscopic picture of paraelectric perovskites from structural prototypes. Phys Rev Res 4(1):L012042
Kresse G, Furthmüller J (1996a) Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comp Mater Sci 6(1):15–50
Kresse G, Furthmüller J (1996b) Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys Rev B 54(16):11169
Kresse G, Hafner J (1993) Ab initio molecular dynamics for liquid metals. Phys Rev B 47(1):558
Krukau AV, Vydrov OA, Izmaylov AF, Scuseria GE (2006) Influence of the exchange screening parameter on the performance of screened hybrid functionals. J Chem Phys 125(22):224106
Lee K, Murray ÉD, Kong L, Lundqvist BI, Langreth DC (2010) Higher-accuracy van der waals density functional. Phys Rev B 82(8):081101
Luca HD, Campbell WB, Maass O (1938) Measurement of the dielectric constant of cellulose. Can J Res 16(8):273–288
Malmberg C, Maryott A (1956) Dielectric constant of water from 0° to 100° C. J Res Natl Bur Stand 56(1):1–8
Malyi OI, Boström M, Kulish VV, Thiyam P, Parsons DF, Persson C (2016) Volume dependence of the dielectric properties of amorphous SiO2. Phys Chem Chem Phys 18(10):7483–7489
Malyi OI, Sopiha KV, Radchenko I, Wu P, Persson C (2018) Tailoring electronic properties of multilayer phosphorene by siliconization. Phys Chem Chem Phys 20(3):2075–2083
Malyi OI, Varignon J, Zunger A (2022) Bulk NdNiO2 is thermodynamically unstable with respect to decomposition while hydrogenation reduces the instability and transforms it from metal to insulator. Phys Rev B 105(1):014106
Mo Y, Yang L, Hou W, Zou T, Huang Y, Zheng X, Liao R (2019) Preparation of cellulose insulating paper of low dielectric constant by OAPS grafting. Cellulose 26:7451–7468
Mo Y, Yang L, Hou W, Zou T, Huang Y, Liao R (2020) Preparation of cellulose insulating paper with low dielectric constant by BTCA esterification crosslinking. Macromol Mater Eng 305(6):2000063
Navid A, Pilon L (2008) Effect of polarization and morphology on the optical properties of absorbing nanoporous thin films. Thin Solid Films 516(12):4159–4167
Nishiyama Y, Langan P, Chanzy H (2002) Crystal structure and hydrogen-bonding system in cellulose Iβ from synchrotron X-ray and neutron fiber diffraction. J Am Chem Soc 124(31):9074–9082
Nishiyama Y, Sugiyama J, Chanzy H, Langan P (2003) Crystal structure and hydrogen bonding system in cellulose Iα from synchrotron X-ray and neutron fiber diffraction. J Am Chem Soc 125(47):14300–14306
Nishiyama Y, Johnson GP, French AD, Forsyth VT, Langan P (2008) Neutron crystallography, molecular dynamics, and quantum mechanics studies of the nature of hydrogen bonding in cellulose Iβ. Biomacromol 9(11):3133–3140
Plermjai K, Boonyarattanakalin K, Mekprasart W, Phoohinkong W, Pavasupree S, Pecharapa W (2019) Optical absorption and FTIR study of cellulose/TiO2 hybrid composites. Chiang Mai J Sci 46(3):618–625
Sabatini R, Gorni T, De Gironcoli S (2013) Nonlocal van der waals density functional made simple and efficient. Phys Rev B 87(4):041108
Salmén L, Stevanic JS, Holmqvist C, Yu S (2021) Moisture induced straining of the cellulosic microfibril. Cellulose 28:3347–3357
Sarko A, Muggli R (1974) Packing analysis of carbohydrates and polysaccharides III. Valonia cellulose and cellulose II. Macromolecules 7(4):486–494
Sarko A, Southwick J, Hayashi J (1976) Packing analysis of carbohydrates and polysaccharides. 7. Crystal structure of cellulose IIII and its relationship to other cellulose polymorphs. Macromolecules 9(5):857–863
Shulenburger L, Baczewski AD, Zhu Z, Guan J, Tomanek D (2015) The nature of the interlayer interaction in bulk and few-layer phosphorus. Nano Lett 15(12):8170–8175
Simao CD, Reparaz JS, Wagner MR, Graczykowski B, Kreuzer M, Ruiz-Blanco YB, García Y, Malho J-M, Goñi AR, Ahopelto J (2015) Optical and mechanical properties of nanofibrillated cellulose: Toward a robust platform for next-generation green technologies. Carbohydr Polym 126:40–46
Sriphan S, Pharino U, Charoonsuk T, Pulphol P, Pakawanit P, Khamman O, Vittayakorn W, Vittayakorn N, Maluangnont T (2023) Tailoring charge affinity, dielectric property, and band gap of bacterial cellulose paper by multifunctional Ti2NbO7 nanosheets for improving triboelectric nanogenerator performance. Nano Res 16(2):3168–3179
Srivastava D, Kuklin MS, Ahopelto J, Karttunen AJ (2020) Electronic band structures of pristine and chemically modified cellulose allomorphs. Carbohydr Polym 243:116440
Stoops W (1934) The dielectric properties of cellulose. J Am Chem Soc 56(7):1480–1483
Thiyam P, Persson C, Parsons D, Huang D, Buhmann S, Boström M (2015) Trends of CO2 adsorption on cellulose due to van der Waals forces. Colloids Surf a: Physicochem Eng Asp 470:316–321
Autho (2020) Crystals and crystal structures. John Wiley & Sons
Vali R, Hosseini S (2004) First-principles study of structural, dynamical, and dielectric properties of a-La2O3. Comput Mater Sci 31(1–2):125–130
Woodcock C, Sarko A (1980) Packing analysis of carbohydrates and polysaccharides. 11. Molecular and crystal structure of native ramie cellulose. Macromolecules 13(5):1183–1187
Yadav A, Acosta CM, Dalpian GM, Malyi OI (2023) First-principles investigations of 2d materials: challenges and best practices. Matter 6(9):2711–2734
Zeng X, Deng L, Yao Y, Sun R, Xu J, Wong C-P (2016) Flexible dielectric papers based on biodegradable cellulose nanofibers and carbon nanotubes for dielectric energy storage. J Mater Chem C 4(25):6037–6044
Zunger A (2018) Inverse design in search of materials with target functionalities. Nat Rev Chem Chem 2(4):0121
Acknowledgments
We gratefully acknowledge Poland’s high-performance computing infrastructure PLGrid (HPC Centers: ACK Cyfronet AGH) for providing computer facilities and support within computational grant no. PLG/2023/016228 and for awarding this project access to the LUMI supercomputer, owned by the EuroHPC Joint Undertaking, hosted by CSC (Finland) and the LUMI consortium through grant no. PLL/2023/4/016319.
Funding
This work is supported by the “ENSEMBLE3-Centre of Excellence for nanophotonics, advanced materials and novel crystal growth-based technologies” project (Grant Agreement No. MAB/2020/14), which is a part of the International Research Agendas programme of the Foundation for Polish Science. It receives co-financing from the European Union under the European Regional Development Fund and the European Union’s Horizon 2020 research and innovation programme, specifically through the Teaming for Excellence initiative (Grant Agreement No. 857543). The research work conducted by M.B. and O.I.M. in 2024 was supported through Project No. 2022/47/P/ST3/01236 co-funded by the National Science Centre and the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 945339.
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AY carried out the main calculations, part of the literature review, and main data analysis. AY prepared the main figures and edited the manuscript. MB supported the investigation and contributed to project development/manuscript editing. OIM designed the idea, wrote the original draft, provided supervision, and conducted verification of the main data analysis.
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Yadav, A., Boström, M. & Malyi, O.I. Understanding of dielectric properties of cellulose. Cellulose 31, 2783–2794 (2024). https://doi.org/10.1007/s10570-024-05754-7
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DOI: https://doi.org/10.1007/s10570-024-05754-7