Abstract
Effects of complexant number on static and dynamic second hyperpolarizability of diffuse electron systems comprising aziridine (complexant) and alkaline earth metal dopant (i.e., Be, Mg, and Ca) are explored theoretically. Accordingly, the number of the complexant is increased up to three in a stepwise fashion. Aziridine unit, which is non-covalently linked with dopant, polarizes the ns electron of dopant. This polarizing effect results in higher second hyperpolarizability value of the complexes. Compared to pristine aziridine moiety, the γavg of Be-aziridine complex enhances significantly. Interestingly, with increase in complexant number, the static and dynamic second hyperpolarizability values enhance monotonically and attain the maximum value when three complexants are employed. Among the studied systems, the shamrock-shaped complex (Ca@(aziridine)3) exhibits higher non-linear refractive index as well as remarkably high second hyperpolarizability value (1.83 × 107 au).
Similar content being viewed by others
Data availability
N/A.
Code availability
N/A.
References
(a) Bennion I, Goodwin MJ (1993) Third-order nonlinear guided-wave optical devices. In:R.W. Eason, A. Miller (eds) Nonlinear optics in signal processing. Engineering Aspects of Lasers Series, 49. Springer, Dordrecht. (b) Zyss J (1994) Molecular Nonlinear Optics: Materials, Physics and Device, Academic Press, New York
Maidur SR, Patil PS, Katturi NK, Soma VR, Wong QA, Quah CK (2021) Ultrafast nonlinear optical and structure–property relationship studies of pyridine-based anthracene chalcones using ZScan, degenerate four-wave mixing and computational approaches. J Phys Chem B 125(15):3883–3898
Chu S, Wang S, Gong Q (2012) Ultrafast third-order nonlinear optical properties of graphene in aqueous solution and polyvinyl alcohol film. Chem Phys Lett 523:104–106
Gauthier N, Argouarch G, Paul F, Toupet L, Ladjarafi A, Costuas K, Halet JF, Samoc M,Cifuentes MP, Corkery TC, Humphrey MG (2011) Electron-rich iron/ruthenium arylalkynyl complexes for third-order nonlinear optics: redox-switching between three states. Chem – Eur J 17:5561–5577
Kanis DR, Ratner MA, Marks TJ (1994) Design and construction of molecular assemblies with large second-order optical nonlinearities. Quantum chemical aspects Chem Rev 9(1):195–242
Dye JL (1990) Ionic salts with electrons as the anions. Science 247(4943):663–668
Huang RH, Dye JL (1990) Low temperature (−80 °C) thermionic electron emission from alkalides and electrides. Chem Phys Lett 166:133–136
Guan S, Huang SY, Yao Y, Yang SA (2017) Tunable hyperbolic dispersion and negative refraction in natural electride materials. Phys Rev B 95:165436
(a) Ye T-N, Li J, Kitano M, Hosono H (2017) Unique nanocages of 12CaO·7Al2O3 boost heterolytic hydrogen activation and selective hydrogenation of heteroarenes over ruthenium catalyst. Green Chem 19:749–756. (b) Toda Y, Hirayama H, Kuganathan N, Torrisi A, Sushko PV, Hosono H (2013) Activation and Splitting of Carbon Dioxide on the Surface of an Inorganic Electride Material. Nat Commun 4:2378
Roy RS, Nandi PK (2018) Electronic structure and large secondorder non-linear optical property of COT derivatives – a theoretical exploration. Phys Chem Chem Phys 2018:744–18755
Sun W-M, Li X-H, Wu J, Lan J-M, Li C-Y, Wu D, Li Y, Li Z-R (2017) Can coinage metal atoms be capable of serving as an excess electron source of alkalides with considerable nonlinear optical responses? Inorg Chem 56:4594–4600
Roy RS, Ghosh S, Hatua K, Nandi PK (2021) Superalkali-doped borazine and lithiated borazine complexes: diffuse excess electron and large first-hyperpolarizability. J Mol Model 27:74
Li Z-J, Wang F-F, Li Z-R, Xu H-L, Huang X-R, Wu D, Chen W, Yu G-T, Guz FL, Aoki Y (2009) Large static first and second hyperpolarizabilities dominated by excess electron transition for radical ion pair salts M2+TCNQ+. (M = Li, Na, K). Phys Chem Chem Phys 11:402–408
Matsuishi S, Toda Y, Miyakawa M, Hayashi K, Kamiya T, Hirano M, Tanaka I, Hosono H (2003) High-density electron anions in a nanoporous single crystal: [Ca24Al28O64]4+(4e-). Science 301:626–629
Kim SW, Toda Y, Hayashi K, Hirano M, Hosono H (2006) Synthesis of a room temperature stable 12CaO·7Al2O3 electride from the melt and its application as an electron field emitter. Chem Mater 18:1938–1944
Kitano M, Inoue Y, Yamazaki Y, Hayashi F, Kanbara S, Matsuishi S, Yokoyama T, Kim SW, Hara M, Hosono H (2012) Ammonia synthesis using a stable electride as an electron donor and reversible hydrogen store. Nat Chem 4:934–940
(a) Zhu L, Xue K, Hou J (2019) A theoretical study of alkaline-earthides Li(NH3)4M (M = Be, Mg, Ca)with large first hyperpolarizability. J Mol Model 25:150. (b) Chen W, Li ZR, Wu D, Li RY, Sun CC (2005) Theoretical investigation of the large nonlinear optical properties of (HCN)n clusters with Li atom. J Phys Chem B 109: 601–08. (c) Kuniyil MJK, Padmanaban R (2019) Theoretical insights into the structural, photophysical and nonlinear optical properties of phenoxazin-3-one dyes. New J Chem 43:13616–13629. (d) Sun W-M, Chen C-Y, Li C-Y, Wu D, Kang J, Li Y, Li Z-R (2018) Boron-substituted coronene: intriguing geometric and electronic properties, and large nonlinear optical response. Chem Phys Chem 19:2518–2524. (d) Avramopoulos A, Reis H, Li J, Papadopoulos MG (2004) The dipole moment, polarizabilities, and first hyperpolarizabilities of HArF. A computational and comparative study. J Am Chem Soc 126(19):6179–6184. (e) Karamanis P, Pouchan C (2013) Second-hyperpolarizability (γ) enhancement in metal-decorated zigzag graphene flakes and ribbons: the size effect. J Phys Chem C 117(6):3134–3140. (f) Karamanis P, Pouchan C (2012) Fullerene–C60 in contact with alkali metal clusters: prototype nano-objects of enhanced first hyperpolarizabilities. J Phys Chem C 116(21):11808–11819
(a) Sun W-M, Li X-H, Li Y, Ni B-L, Chen J-H, Li C-Y, Wu D, Li Z-R (2016) Theoretical study of the substituent effects on the nonlinear optical properties of a room-temperature-stable organic electride. Chem Phys Chem 17:3907–3915-Li. (b) Kulichenko M, Utenyshev AN, Bozhenko KV (2021) Designing molecular electrides from defective unit cells of cubic alkaline earth oxides. J Phys Chem C 125:9564–9570. (c) Ishaq M, Shehzad RA, Yaseen M, Iqbal S, Ayub K, Iqbal J (2021) DFT study of superhalogen-doped borophene with enhancednonlinear optical properties. J Mol Model 27:188. (d) Das P, Chattaraj PK (2021) Electride characteristics of M2(η5-E5)2 (M = Be, Mg; E = Sb5-) Structural Chemistry 32:2107–2114
(a) Pielak K, Tonnelé C, Sanguinet L, Cariati E, Righetto S, Muccioli L, Castet F, Champagne B (2018) Dynamical behavior and second harmonic generation responses in acido-triggered molecular switches. J Phys Chem C 122(45):26160–26168. (b) Castet F,Rodriguez V, Pozzo J-L, Ducasse L, Plaquet A, Champagne B (2013) Design and characterization of molecular nonlinear optical switches. Acc Chem Res 46(11):2656–2665. (c) Bhattacharyya S, Mukherjee PK, Fricke B (2020) Nonlinear response properties of atomic hydrogen under quantum plasma environment: a time-dependent variation perturbation study on hyperpolarizability and two-photon excitations. Int J Quantum Chem 120:e26422. (d) Shakerzadeh E, karbasiyuon M (2019) Electro-optical properties of bowl-like B36 cluster doped with the first row transition metals: a DFT insight. Phys E Low-Dimens Syst Nanostructures 114:113599. (e) Shakerzadeh E, Duong LV, Tahmasebi E, Nguyen MT (2019) The scandium doped boron cluster B27Sc2+: a fruit can-like structure. Phys Chem Chem Phys 21:8933–8939
(a) Marques S, Castro MA, Leão SA, Fonseca TL (2018) Electronic and vibrational hyperpolarizabilities of lithium substituted (Aza)benzenes and (Aza)naphthalenes. J Phys Chem A 122(37):7402–7412. (b) Jin Y, Maroulis G, Kuang X, Ding L, Lu C, Wang J, Lv J , Zhang C, Ju M (2015) Geometries, stabilities and fragmental channels of neutral and charged sulfur clusters: SnQ (n = 3–20, Q = 0, ±1). Phys Chem Chem Phys 17:13590-13597
Champagne B, Spassova M, Jadin JB, Kirtman B (2002) Ab initio investigation of doping-enhanced electronic and vibrational second hyperpolarizability of polyacetylene chains. J Chem Phys 116:3935–3946
Wang JJ, Zhou ZJ, Bai Y, Liu ZB, Li Y, Wu D, Chen W, Li ZR, Sun CC (2012) The interaction between superalkalis (M3O, M = Na, K) and a C20F20 cage forming superalkali electride salt molecules with excess electrons inside the C20F20 cage: dramatic superalkali effect on the nonlinear optical property. J Mater Chem 22:9652–9657
Chen W, Li ZR, Wu D, Li Y, Sun CC, Gu FL, Aoki Y (2006) Nonlinear optical properties of alkalides Li+(calix[4]pyrrole)M- (M = Li, Na, and K): alkali anion atomic number dependence. J Am Chem Soc 128:1072–1073
Xu HL, Li ZR, Wu D, Wang BQ, Li Y, Gu FL, Aoki Y (2007) Structures and large NLO responses of new electrides: Li-doped fluorocarbon chain. J Am Chem Soc 129:2967–2970
Li B, Xu C, Xu X, Zhu C, Gu FL (2017) Remarkable nonlinear optical response of excess electron compounds: theoretically designed alkali-doped aziridine M–(C2NH5)n. Phys Chem Chem Phys 19:23951
Zhou ZJ, Liu ZB, Li ZR, Huang XR, Sun CC (2011) Shape effect of graphene quantum dots on enhancing second-order nonlinear optical response and spin multiplicity in NH2–GQD–NO2 systems. J Phys Chem C 115:16282–16286
Zhong RL, Xu HL, Sun SL, Qiu YQ, Su ZM (2012) The excess electron in a boron nitride nanotube: pyramidal NBO charge distribution and remarkable first hyperpolarizability. Chem Eur J 18:11350–11355
Muhammad S, Xu HL, Liao Y, Kan YH, Su ZM (2009) Quantum mechanical design and structure of the Li@B10H14 basket with a remarkably enhanced electro-optical response. J Am Chem Soc 131:11833–11840
Wang FF, Li ZR, Wu D, Wang BQ, Li Y, Li ZJ, Chen W, Yu GT, Gu FL, Aoki Y (2008) Structures and considerable static first hyperpolarizabilities: new organic alkalides (M+@n6adz)M′− (M, M′= Li, Na, K; n = 2, 3) with cation inside and anion outside of the cage complexants. J Phys Chem B 112:1090–1094
Jing Y-Q, Li Z-R, Wu D, Li Y, Wang B-Q, Gu FL, Aoki Y (2006) Effect of the complexant shape on the large first hyperpolarizability of alkalides Li+(NH3)4M-. Chem Phys Chem 7:1759–1763
Chen W, Li ZR, Wu D, Li Y, Sun CC, Gu FL (2005) The structure and the large nonlinear optical properties of Li@ Calix[4]pyrrole. J Am Chem Soc 127:10977–10981
Jing YQ, Li ZR, Wu D, Li Y, Wang BQ, Gu FL (2006) What is the role of the complexant in the large first hyperpolarizability of sodide systems Li(NH3)nNa (n = 1–4)?. J Phys Chem B 110:11725–11729
(a) Kanis DR, Ratner MA, Marks TJ (1994) Design and construction of molecular assemblies with large second-order optical nonlinearities. Quantum chemical aspects. Chem Rev 94:195–242. (b) Huang H, Deng G, Liu J, Wu J, Si P, Xu H, Bo S, Qiu L, Zhen Z, Liu X (2013) A nunchaku-like nonlinear optical chromophore for improved temporal stability of guest–host electro-optic materials. Dyes Pigm 99:753–758
(a) Wang CH, Ma NN, Sun XX, Sun SL, Qiu YQ, Liu PJ (2012) Modulation of the second- order nonlinear optical properties of the two-dimensional pincer Ru(II) complexes: substituent effect and proton abstraction switch. J Phys Chem A 116:10496–10506. (b) Zhang MY, Wang CH, Wang WY, Ma NN, Sun SL, Qiu YQ (2013) Strategy for enhancing second-order nonlinear optical properties of the Pt(II) dithienylethene complexes: substituent effect, π-conjugated influence, and photoisomerization switch. J Phys Chem A 117:12497–12510
Redko MY, Jackson JE, Huang RH, Dye JL (2005) Design and synthesis of a thermally stable organic electride. J Am Chem Soc 127:12416–12422
Huang RH, Faber MK, Moeggenborg KJ, Ward DL, Dye JL (1988) Structure of K+(cryptand[2.2.2J) electride and evidence for trapped electron pairs. Nature 331:599–601
Ellaboudy A, Dye JL, Smith PB (1983) Cesium 18-crown-6 compounds. A crystalline ceside and a crystalline electride. J Am Chem Soc 105:6490–6491
Singh GS (2016) Synthetic aziridines in medicinal chemistry: a mini-review. Mini Rev Med Chem 16:892–904
Degennaro L, Trinchera P, Luisi R (2014) Recent advances in the stereoselective synthesis of aziridines. Chem Rev 114:7881–7929
He H-M, Li Y, Yang H, Yu D, Li S-Y, Wu D, Hou J-H, Zhong R-L, Zhou Z-J, Gu F-L, Luis JM, Li Z-R (2017) Efficient external electric field manipulated nonlinear optical switches of all metal electride molecules with infrared transparency: nonbonding electron transfer forms an excess electron lone pair. J Phys Chem C 121:958–968
He H-M, Li Y, Sun W-M, Wang J–J, Wu D, Zhong R–L, Zhou Z–J, Li Z–R, (2016) All-metal electride molecules CuAg@Ca7M (M = Be, Mg, and Ca) with multi-excess electrons and allmetal polyanions: molecular structures and bonding modes as well as large infrared nonlinear optical responses. Dalton Trans 45:2656–2665
(a) Becke AD (1993) Density-functional thermochemistry III. The role of exact exchange. J Chem Phys 98: 5648–5652(b) Lee C,Yang W, Parr RG (1988) Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. Phys Rev B Condens Matter 37: 785–789
Hunter EP, Lias SG (1998) Evaluated gas phase basicities and proton affinities of molecules: an update. J Phys Chem Ref Data 27:413
Saeidian H,Barfinejad E,Vessally E (2020) Effect of aromaticity and ring strain on proton affinity of aziridine and amidine skeletons: a DFT study. J Iran Chem Soc17 : 1731–1741
Patra SG (2019) Basicity of N-heterocyclic carbene and its main-group analogues. Comput Theor Chem 1164:112557
Khalili G, McCosker PM, Clark T, Keller PA (2019) Synthesis and density functional theory studies of azirinyl and oxiranyl functionalized isoindigo and (3Z,3’Z)-3,3’-(ethane-1,2-diylidene)bis(indolin-2-one) Derivatives. Molecules 24:3649
(a) Boys SF, Bernardi F (1970) The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors. Mol Phys 19 : 553–566. (b) Hobza P, Havlas Z (1998) Counterpoise-corrected potential energy surfaces of simple H-bonded systems. Theor Chem Acc 99:372–377
Reed AE, Weinstock RB, Weinhold F (1985) Natural population analysis. J Chem Phys 83:735–746
Keith T (2017) AIMAll (Version 17.01.25); TK Gristmill Software: Overland Park, KS
a) Kongsted J, Osted A, Mikkelsen KV, Christiansen O (2004) Second harmonic generation second hyperpolarizability of water calculated using the combined coupled cluster dielectric continuum or different molecular mechanics methods. J Chem Phys 120:3787−3798. (b) Muhammad S, Chaudhry AR, Irfan A, Al-Sehemi AG (2017) First-principles study of nitrogen-doped nanographene as an efficient charge transport and nonlinear optical material. RSC Adv 7:36632-36643
Yanai T, Tew DP, Handy NC (2004) A new hybrid exchange−correlation functional using the Coulomb-attenuating method (CAMB3LYP). Chem Phys Lett 393:51–57
Srivastava AK (2021) Lithiated graphene quantum dot and its nonlinear optical properties modulated by a single alkali atom: a theoretical perspective. Inorg Chem 60(5):3131–3138
Wang S-J, Li Y, Wang Y-F, Wu D, Li Z-R (2013) Structures and nonlinear optical properties of the endohedral metallofullerene-superhalogen compounds Li@C60–BX4 (X = F, Cl, Br). Phys Chem Chem Phys 15:12903–12910
SunW-M WuD, Li Y, Liu J-Y, He H-M, Li Z-R (2015) A theoretical study on novel alkaline earth-based excess electron compounds: unique alkalides with considerable nonlinear optical responses. Phys Chem Chem Phys 17:4524–4532
Chai JD, Gordon MH (2008) Long-range corrected hybrid density functionals with damped atom–atomdispersion corrections. Phys Chem Chem Phys 10:6615–6620
Champagne B, Botek E, Nakano M, Nitta T, Yamaguchi K (2005) Basis set and electron correlation effects on the polarizability and second hyperpolarizability of model open-shell π-conjugated systems. J Chem Phys 122:114315–114312
Nakano M, Kishi R, Nitta T, Kubo T, Nakasuji K, Kamada K, Ohta K, Champagne B, Botek E, Yamaguchi K (2005) Second hyperpolarizability (γ) of singlet diradical system: dependence of γ on the diradical character. J Phys Chem A 109:885–891
Jensen F ( 2001) Polarization consistent basis sets: principles. J Chem Phys 115:9113–125
Roy RS, Mondal A, Nandi PK (2017) First hyperpolarizability of cyclooctatetraene modulated by alkaliand alkaline earth metals. J Mol Model 23:93
Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Scalmani G, Barone V, Mennucci B, Petersson GA, Nakatsuji H, Caricato M, Li X, Hratchian HP, Izmaylov AF, Bloino J, Zheng G, Sonnenberg JL, Hada M, Ehara M, Toyota K, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery JA, Peralta Jr.JE, Ogliaro F, Bearpark M, Heyd JJ, Brothers E, Kudin KN, Staroverov VN, Keith T, Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant JC, Iyengar SS, Tomasi J, Cossi M, Rega N, Millam JM, Klene M, Knox JE, Cross JB, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW, Martin RL, Morokuma K, Zakrzewski VG, Voth GA, Salvador P, Dannenberg JJ, Dapprich S, Daniels AD, Farkas O, Foresman JB, Ortiz JV, Cioslowski J, Fox DJ (2013) Gaussian 09, Revision D. 01, Gaussian, Inc., Wallingford CT USA
Lu T, Chen FW (2012) Multiwfn: a multifunctional wavefunction analyser. J Comput Chem 33:580–592
(a) Lias SG, Bartmess JE, Liebman JF, Holmes JL, Levin RD, Mallard WG (1988) Gas-phase ion and neutral thermochemistry. J Phys Chem Ref Data 17(1). (b) Lide DR (2000) CRC Handbook of Chemistry and Physics. CRC Press, Boca Raton, FL
Tarazkar M, Romanov DA, Levis RJ (2014) Higher-order nonlinearity of refractive index: the case of argon. J Chem Phys 140:214316
Bree C, Demircan A, Steinmeyer G (2010) Method for computing the nonlinear refractive index via Keldysh theory. IEEE J Quantum Electron 46:433–437. (b) Ullah F, Ayub K, Mahmood T (2020) Remarkable second and third order nonlinear optical properties of organometallic C6Li6–M3O electrides. New J Chem 44:9822–9829
(a) Sun W-M, Fan L-T, Li Y, Liu J-Y, Wu D, Li Z-R (2014) On the potential application of superalkali clusters in designing novel alkalides with large nonlinear optical properties. Inorg Chem 53:6170−6178. (b) Sutradhar T, Misra A (2021) Theoretical study on the nonlinear optical property of boronnitride nanoclusters functionalized by electron donating and electron accepting groups. J Phys Chem A 125:2436−2445
(a) Lee W-H, Cho M, Jeon S-J, Cho BR (2000) Two-photon absorption and second hyperpolarizability of the linear quadrupolarmolecule. J Phys Chem A 104:11033-11040. (b) Banerjee P, Nandi PK (2018) Hydrides, alkalides, and halides of calcium metal chain: electronic structure and NLO property. Struct Chem 29:859–870
Acknowledgements
RSR acknowledges CSIR (file number: 09/080(1150)/2020-EMR-I) for the fellowship. The authors are also thankful to Tanay Debnath for his helpful discussion.
Funding
RSR is grateful to CSIR for research fellowship.
Author information
Authors and Affiliations
Contributions
All authors contributed to the present work by giving their own conception and design. The computational tasks, tabulation of results, and appropriate theoretical justification/analysis were performed by Ria Sinha Roy, Avik Ghosh, Tamalika Ash, and Soumadip Banerjee. The manuscript in the final form was checked and prepared by Ria Sinha Roy and Abhijit K. Das. All authors gave their specific scientific inputs and suggestions to improve the quality of the manuscript. All authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Ethics approval and consent to participate
N/A.
Consent for publication
N/A.
Conflict of interest
The authors declare no competing interests.
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
Roy, R.S., Ghosh, A., Ash, T. et al. Exploring the effect of complexant on remarkably high static and dynamic second hyperpolarizability of aziridine-based diffuse electron systems: a theoretical study. Struct Chem 34, 539–551 (2023). https://doi.org/10.1007/s11224-022-01989-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11224-022-01989-x