Abstract
Dispersion and electrostatic interactions both contribute significantly to the tight assembly of macromolecular chains within crystalline polysaccharides. Using dispersion-corrected density functional theory (DFT) calculation, we estimated the elastic tensor of the four crystalline cellulose allomorphs whose crystal structures that are hitherto available, namely, cellulose Iα, Iβ, II, IIII. Comparison between calculations with and without dispersion correction allows quantification of the exact contribution of dispersion to stiffness at molecular level.
Similar content being viewed by others
References
Ahrens J, Geveci B, Law C (2005) ParaView: an end-user tool for large data visualization, visualization handbook. Elsevier
Azuri I, Adler-Abramovich L, Gazit E et al (2014) Why are diphenylalanine-based peptide nanostructures so rigid? Insights from first principles calculations. J Am Chem Soc 136:963–969. https://doi.org/10.1021/ja408713x
Azuri I, Meirzadeh E, Ehre D et al (2015) Unusually large young’s moduli of amino acid molecular crystals. Angew Chem Int Ed 54:13566–13570. https://doi.org/10.1002/anie.201505813
Bergenstråhle M, Wohlert J, Himmel ME, Brady JW (2010) Simulation studies of the insolubility of cellulose. Carbohydr Res 345:2060–2066. https://doi.org/10.1016/j.carres.2010.06.017
Bučko T, Tunega D, Ángyán JG, Hafner J (2011) Ab initio study of structure and interconversion of native cellulose phases. J Phys Chem A 115:10097–10105. https://doi.org/10.1021/jp205827y
Černý J, Kabeláč M, Hobza P (2008) Double-helical → ladder structural transition in the B-DNA is induced by a loss of dispersion energy. J Am Chem Soc 130:16055–16059. https://doi.org/10.1021/ja805428q
Chen P, Ogawa Y, Nishiyama Y et al (2015) Alternative hydrogen bond models of cellulose II and IIII based on molecular force-fields and density functional theory. Cellulose 22:1485–1493. https://doi.org/10.1007/s10570-015-0589-z
Cliffe MJ, Goodwin AL (2012) PASCal: a principal axis strain calculator for thermal expansion and compressibility determination. J Appl Crystallogr 45:1321–1329. https://doi.org/10.1107/S0021889812043026
Djahedi C, Berglund LA, Wohlert J (2015) Molecular deformation mechanisms in cellulose allomorphs and the role of hydrogen bonds. Carbohydr Polym 130:175–182. https://doi.org/10.1016/j.carbpol.2015.04.073
Dri FL, Hector LG, Moon RJ, Zavattieri PD (2013) Anisotropy of the elastic properties of crystalline cellulose Iβ from first principles density functional theory with Van der Waals interactions. Cellulose 20:2703–2718. https://doi.org/10.1007/s10570-013-0071-8
Dri FL, Shang S, Hector LG et al (2014) Anisotropy and temperature dependence of structural, thermodynamic, and elastic properties of crystalline cellulose I$\upbeta$: a first-principles investigation. Model Simul Mater Sci Eng 22:085012. https://doi.org/10.1088/0965-0393/22/8/085012
Eichhorn SJ, Davies GR (2006) Modelling the crystalline deformation of native and regenerated cellulose. Cellulose 13:291–307. https://doi.org/10.1007/s10570-006-9046-3
Feng B, Sosa RP, Mårtensson AKF et al (2019) Hydrophobic catalysis and a potential biological role of DNA unstacking induced by environment effects. Proc Natl Acad Sci 116:17169–17174. https://doi.org/10.1073/pnas.1909122116
Giannozzi P, Andreussi O, Brumme T et al (2017) Advanced capabilities for materials modelling with quantum ESPRESSO. J Phys Condens Matter 29:465901. https://doi.org/10.1088/1361-648X/aa8f79
Giannozzi P, Baroni S, Bonini N et al (2009) QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials. J Phys Condens Matter 21:395502. https://doi.org/10.1088/0953-8984/21/39/395502
Glasser WG, Atalla RH, Blackwell J et al (2012) About the structure of cellulose: debating the Lindman hypothesis. Cellulose 19:589–598. https://doi.org/10.1007/s10570-012-9691-7
Golesorkhtabar R, Pavone P, Spitaler J et al (2013) ElaStic: a tool for calculating second-order elastic constants from first principles. Comput Phys Commun 184:1861–1873. https://doi.org/10.1016/j.cpc.2013.03.010
London dispersion forces (London forces). In: Encyclopedic dictionary of polymers. New York: Springer, NY, pp 582–582
Grimme S (2006) Semiempirical GGA-type density functional constructed with a long-range dispersion correction. J Comput Chem 27:1787–1799. https://doi.org/10.1002/jcc.20495
Jahiruddin S, Datta A (2015) What sustains the unnatural base pairs (UBPs) with no hydrogen bonds. J Phys Chem B 119:5839–5845. https://doi.org/10.1021/acs.jpcb.5b03293
Kolář M, Kubař T, Hobza P (2011) On the role of london dispersion forces in biomolecular structure determination. J Phys Chem B 115:8038–8046. https://doi.org/10.1021/jp202878d
Kumar A, Patwari GN (2019) Probing the role of dispersion energy on structural transformation of double-stranded xylo- and ribo-nucleic acids. Phys Chem Chem Phys 21:3842–3848. https://doi.org/10.1039/C8CP06305B
Langan P, Nishiyama Y, Chanzy H (1999) A revised structure and hydrogen-bonding system in cellulose II from a neutron fiber diffraction analysis. J Am Chem Soc 121:9940–9946. https://doi.org/10.1021/ja9916254
Matveychuk YV, Bartashevich EV, Tsirelson VG (2018) How the H-bond layout determines mechanical properties of crystalline amino acid hydrogen maleates. Cryst Growth Des 18:3366–3375. https://doi.org/10.1021/acs.cgd.8b00067
Medronho B, Romano A, Miguel MG et al (2012) Rationalizing cellulose (in)solubility: reviewing basic physicochemical aspects and role of hydrophobic interactions. Cellulose 19:581–587. https://doi.org/10.1007/s10570-011-9644-6
Nakamura K, Wada M, Kuga S, Okano T (2004) Poisson’s ratio of cellulose Iβ and cellulose II. J Polym Sci Part B Polym Phys 42:1206–1211
Nishiyama Y (2018) Molecular interactions in nanocellulose assembly. Philos Trans R Soc Math Phys Eng Sci 376:20170047. https://doi.org/10.1098/rsta.2017.0047
Nishiyama Y, Johnson GP, French AD et al (2008) Neutron crystallography, molecular dynamics, and quantum mechanics studies of the nature of hydrogen bonding in cellulose Iβ. Biomacromol 9:3133–3140. https://doi.org/10.1021/bm800726v
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 124:9074–9082. https://doi.org/10.1021/ja0257319
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 125:14300–14306. https://doi.org/10.1021/ja037055w
Perdew JP, Burke K, Ernzerhof M (1996) Generalized gradient approximation made simple. Phys Rev Lett 77:3865–3868. https://doi.org/10.1103/PhysRevLett.77.3865
Perumal SSRR, Subramanian Y (2017) A molecular dynamics calculation of solid phase of malonic acid: role of hydrogen-bond chains and the elastic constants. J Chem Sci 129:963–974. https://doi.org/10.1007/s12039-017-1310-6
Ramos-Cordoba E, Lambrecht DS, Head-Gordon M (2011) Charge-transfer and the hydrogen bond: Spectroscopic and structural implications from electronic structure calculations. Faraday Discuss 150:345–362. https://doi.org/10.1039/C1FD00004G
Tashiro K, Kobayashi M (1985) Calculation of crystallite modulus of native cellulose. Polym Bull 14:213–218. https://doi.org/10.1007/BF00254940
Wada M, Chanzy H, Nishiyama Y, Langan P (2004) Cellulose IIII crystal structure and hydrogen bonding by synchrotron X-ray and neutron fiber diffraction. Macromolecules 37:8548–8555. https://doi.org/10.1021/ma0485585
Wang S, Lu A, Zhang L (2016) Recent advances in regenerated cellulose materials. Prog Polym Sci 53:169–206. https://doi.org/10.1016/j.progpolymsci.2015.07.003
Wohlert J, Bergenstråhle-Wohlert M, Berglund LA (2012) Deformation of cellulose nanocrystals: entropy, internal energy and temperature dependence. Cellulose 19:1821–1836. https://doi.org/10.1007/s10570-012-9774-5
Yanchitsky BZ, Timoshevskii AN (2001) Determination of the space group and unit cell for a periodic solid☆☆This program can be downloaded from the CPC program Library under catalogue identifier. http://cpc.cs.qub.ac.uk/summaries/ADON. Comput Phys Commun 139:235–242. https://doi.org/10.1016/S0010-4655(01)00212-0
Zuluaga M (2013) Anisotropy calculator—3D visualization toolkit. https://doi.org/10.4231/D3JD4PQ2D
Acknowledgments
P.C. thanks the Beijing Natural Science Foundation (2204096) and Beijing Institute of Technology Research Fund for Young Scholars. Partial computational resources were provided by the Swedish National Infrastructure for Computing (SNIC) at the PDC Center for High Performance Computing, KTH Royal Institute of Technology, partially funded by the Swedish Research Council through grant agreement no. 2018-05973.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Conflict of interest
The authors declare that they have no conflicts of interest.
Ethical approval
No animal or human trials were undertaken or conducted for this study.
Consent to participate
All the three authors are aware of the submission and have given their consent to participate. All the authors have read and approved the manuscript before submission.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Chen, P., Nishiyama, Y. & Wohlert, J. Quantifying the influence of dispersion interactions on the elastic properties of crystalline cellulose. Cellulose 28, 10777–10786 (2021). https://doi.org/10.1007/s10570-021-04210-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10570-021-04210-0