{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T11:27:58Z","timestamp":1770290878695,"version":"3.49.0"},"reference-count":77,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2023,1,2]],"date-time":"2023-01-02T00:00:00Z","timestamp":1672617600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science Committee of RA","award":["21SCG-1C008"],"award-info":[{"award-number":["21SCG-1C008"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>Considering the increasing number of experimental results in the manufacturing process of quantum dots (QDs) with different geometries, and the fact that most numerical methods that can be used to investigate quantum dots with nontrivial geometries require large computational capacities, the finite element method (FEM) becomes an incredibly attractive tool for modeling semiconductor QDs. In the current article, we used FEM to obtain the first twenty-six probability densities and energy values for the following GaAs structures: rectangular, spherical, cylindrical, ellipsoidal, spheroidal, and conical QDs, as well as quantum rings, nanotadpoles, and nanostars. The results of the numerical calculations were compared with the exact analytical solutions and a good deviation was obtained. The ground-state energy dependence on the element size was obtained to find the optimal parameter for the investigated structures. The abovementioned calculation results were used to obtain valuable insight into the effects of the size quantization\u2019s dependence on the shape of the QDs. Additionally, the wavefunctions and energies of spherical CdSe\/CdS quantum dots were obtained while taking into account the diffusion effects on the potential depth with the use of a piecewise Woods\u2013Saxon potential. The diffusion of the effective mass and the dielectric permittivity was obtained with the use of a normal Woods\u2013Saxon potential. A structure with a quasi-type-II band alignment was obtained at the core size of \u22482.2 nm This result is consistent with the experimental data.<\/jats:p>","DOI":"10.3390\/computation11010005","type":"journal-article","created":{"date-parts":[[2023,1,2]],"date-time":"2023-01-02T03:50:32Z","timestamp":1672631432000},"page":"5","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["Modeling of Quantum Dots with the Finite Element Method"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2729-6238","authenticated-orcid":false,"given":"G.A.","family":"Mantashian","sequence":"first","affiliation":[{"name":"Department of General Physics and Quantum Nanostructures, Russian-Armenian University, Yerevan 0051, Armenia"},{"name":"Institute of Chemical Physics after A.B. Nalbandyan, Yerevan 0014, Armenia"}]},{"given":"P.A.","family":"Mantashyan","sequence":"additional","affiliation":[{"name":"Department of General Physics and Quantum Nanostructures, Russian-Armenian University, Yerevan 0051, Armenia"},{"name":"Institute of Chemical Physics after A.B. Nalbandyan, Yerevan 0014, Armenia"}]},{"given":"D.B.","family":"Hayrapetyan","sequence":"additional","affiliation":[{"name":"Department of General Physics and Quantum Nanostructures, Russian-Armenian University, Yerevan 0051, Armenia"},{"name":"Institute of Chemical Physics after A.B. Nalbandyan, Yerevan 0014, Armenia"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1160","DOI":"10.1016\/j.joule.2020.04.006","article-title":"Metal halide perovskites in quantum dot solar cells: Progress and prospects","volume":"4","author":"Yuan","year":"2020","journal-title":"Joule"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1908762","DOI":"10.1002\/adfm.201908762","article-title":"Core\/shell quantum dots solar cells","volume":"30","author":"Selopal","year":"2020","journal-title":"Adv. Funct. Mater."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"2201676","DOI":"10.1002\/aenm.202201676","article-title":"Over 15% Efficiency PbS Quantum-Dot Solar Cells by Synergistic Effects of Three Interface Engineering: Reducing Nonradiative Recombination and Balancing Charge Carrier Extraction","volume":"12","author":"Ding","year":"2022","journal-title":"Adv. Energy Mater."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2107888","DOI":"10.1002\/adma.202107888","article-title":"Colloidal Quantum Dot Solar Cells: Progressive Deposition Techniques and Future Prospects on Large-Area Fabrication","volume":"34","author":"Zhao","year":"2022","journal-title":"Adv. Mater."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2105495","DOI":"10.1002\/smll.202105495","article-title":"Matching Charge Extraction Contact for Infrared PbS Colloidal Quantum Dot Solar Cells","volume":"18","author":"Li","year":"2022","journal-title":"Small"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"110999","DOI":"10.1016\/j.jpcs.2022.110999","article-title":"Ternary atoms alloy quantum dot assisted hole transport in thin film polymer solar cells","volume":"171","author":"Ogundele","year":"2022","journal-title":"J. Phys. Chem. Solids"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"4943","DOI":"10.1021\/acsomega.8b03490","article-title":"Carbon quantum dot-anchored bismuth oxide composites as potential electrode for lithium-ion battery and supercapacitor applications","volume":"4","author":"Prasath","year":"2019","journal-title":"ACS Omega"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"14191","DOI":"10.1021\/acsami.9b02425","article-title":"CsPbBr3 quantum dot films with high luminescence efficiency and irradiation stability for radioluminescent nuclear battery application","volume":"11","author":"Xu","year":"2019","journal-title":"ACS Appl. Mater. Interfaces"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2071","DOI":"10.1021\/acsami.8b18884","article-title":"Nanorod array of SnO2 quantum dot interspersed multiphase TiO2 heterojunctions with highly photocatalytic water splitting and self-rechargeable battery-like applications","volume":"11","author":"Sun","year":"2018","journal-title":"ACS Appl. Mater. Interfaces"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"13397","DOI":"10.1039\/D1CC05657C","article-title":"Engineering a novel microcapsule of Cu 9 S 5 core and SnS 2 quantum dot\/carbon nanotube shell as a Li-ion battery anode","volume":"57","author":"Liu","year":"2021","journal-title":"Chem. Commun."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"131339","DOI":"10.1016\/j.matlet.2021.131339","article-title":"Nanocomposite of SnO2 quantum dots and Au nanoparticles as a battery-like supercapacitor electrode material","volume":"309","author":"Babu","year":"2022","journal-title":"Mater. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"17086","DOI":"10.1021\/acs.analchem.1c04184","article-title":"MXene-derived quantum dot@ gold nanobones heterostructure-based electrochemiluminescence sensor for triple-negative breast cancer diagnosis","volume":"93","author":"Nie","year":"2021","journal-title":"Anal. Chem."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"6717","DOI":"10.1021\/acsanm.2c00743","article-title":"Luminescent CdSe Quantum Dot Arrays for Rapid Sensing of Explosive Taggants","volume":"5","author":"Abargues","year":"2022","journal-title":"ACS Appl. Nano Mater."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Zhu, C., Wang, Q., Sun, G., Zhao, S., Wang, Y., Li, T., Hao, X., Artemyev, M., and Tang, J. (2022). High-Luminescence Electrospun Polymeric Microfibers In Situ Embedded with CdSe Quantum Dots with Excellent Environmental Stability for Heat and Humidity Wearable Sensors. Nanomaterials, 12.","DOI":"10.3390\/nano12132288"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"137486","DOI":"10.1016\/j.electacta.2020.137486","article-title":"Development of novel paper-based electrochemical device modified with CdSe\/CdS magic-sized quantum dots and application for the sensing of dopamine","volume":"367","author":"Meneses","year":"2021","journal-title":"Electrochim. Acta"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"720","DOI":"10.1080\/03601234.2022.2103936","article-title":"Design of fluorescent method for sensing toxic diazinon in water samples using PbS quantum dots-based gelatin","volume":"57","author":"Jamalipour","year":"2022","journal-title":"J. Environ. Sci. Health Part B"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"238192","DOI":"10.1016\/j.aca.2020.12.067","article-title":"\u201cQuantum dots: Perspectives in next-generation chemical gas sensors\u201d\u2014A review","volume":"1152","author":"Galstyan","year":"2021","journal-title":"Anal. Chim. Acta"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1387","DOI":"10.1515\/nanoph-2020-0593","article-title":"Quantum nanophotonic and nanoplasmonic sensing: Towards quantum optical bioscience laboratories on chip","volume":"10","author":"Xavier","year":"2021","journal-title":"Nanophotonics"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1140\/epjqt\/s40507-022-00143-0","article-title":"The deep space quantum link: Prospective fundamental physics experiments using long-baseline quantum optics","volume":"9","author":"Mohageg","year":"2022","journal-title":"EPJ Quantum Technol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1308","DOI":"10.1038\/s41565-021-00965-6","article-title":"Quantum-dot-based deterministic photon\u2013emitter interfaces for scalable photonic quantum technology","volume":"16","author":"Uppu","year":"2021","journal-title":"Nat. Nanotechnol."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2337","DOI":"10.1021\/acsphotonics.1c00504","article-title":"On-demand generation of entangled photon pairs in the telecom C-band with InAs quantum dots","volume":"8","author":"Zeuner","year":"2021","journal-title":"ACS Photonics"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"091106","DOI":"10.1063\/5.0042480","article-title":"Position-dependent chiral coupling between single quantum dots and cross waveguides","volume":"118","author":"Xiao","year":"2021","journal-title":"Appl. Phys. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"014003","DOI":"10.1063\/5.0032128","article-title":"Coherence in single photon emission from droplet epitaxy and Stranski\u2013Krastanov quantum dots in the telecom C-band","volume":"118","author":"Anderson","year":"2021","journal-title":"Appl. Phys. Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1021\/acs.nanolett.1c03226","article-title":"Generation of Polarization-Entangled Photons from Self-Assembled Quantum Dots in a Hybrid Quantum Photonic Chip","volume":"22","author":"Jin","year":"2022","journal-title":"Nano Lett."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"012501","DOI":"10.1088\/2515-7647\/ac1ef4","article-title":"Roadmap on integrated quantum photonics","volume":"4","author":"Moody","year":"2022","journal-title":"J. Phys. Photonics"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"926","DOI":"10.1038\/s41578-020-00262-z","article-title":"The germanium quantum information route","volume":"6","author":"Scappucci","year":"2021","journal-title":"Nat. Rev. Mater."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"296","DOI":"10.1038\/s41565-020-00816-w","article-title":"Coherent control of individual electron spins in a two-dimensional quantum dot array","volume":"16","author":"Mortemousque","year":"2021","journal-title":"Nat. Nanotechnol."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1038\/s41534-020-00356-0","article-title":"Quantum teleportation with imperfect quantum dots","volume":"7","author":"Salusti","year":"2021","journal-title":"npj Quantum Inf."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"030331","DOI":"10.1103\/PRXQuantum.2.030331","article-title":"Enhanced Spin Coherence while Displacing Electron in a Two-Dimensional Array of Quantum Dots","volume":"2","author":"Mortemousque","year":"2021","journal-title":"PRX Quantum"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"548","DOI":"10.1038\/s41928-021-00632-7","article-title":"Colloidal quantum dot electronics","volume":"4","author":"Liu","year":"2021","journal-title":"Nat. Electron."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"534","DOI":"10.1007\/s11671-008-9175-8","article-title":"Effects of shape and strain distribution of quantum dots on optical transition in the quantum dot infrared photodetectors","volume":"3","author":"Yang","year":"2008","journal-title":"Nanoscale Res. Lett."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"13299","DOI":"10.1038\/s41598-018-31512-4","article-title":"Effects of geometry on the electronic properties of semiconductor elliptical quantum rings","volume":"8","author":"Vinasco","year":"2018","journal-title":"Sci. Rep."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"036102","DOI":"10.1103\/PhysRevLett.111.036102","article-title":"Origin of quantum ring formation during droplet epitaxy","volume":"111","author":"Zhou","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"085308","DOI":"10.1103\/PhysRevB.79.085308","article-title":"Photon antibunching in double quantum ring structures","volume":"79","author":"Abbarchi","year":"2009","journal-title":"Phys. Rev. B"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"111855","DOI":"10.1016\/j.envres.2021.111855","article-title":"Enhanced visible light-driven photocatalytic performance of CdSe nanorods","volume":"203","author":"Ramalingam","year":"2022","journal-title":"Environ. Res."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"2000805","DOI":"10.1002\/solr.202000805","article-title":"Integrated S-scheme heterojunction of amine-functionalized 1D CdSe nanorods anchoring on ultrathin 2D SnNb2O6 nanosheets for robust solar-driven CO2 conversion","volume":"5","author":"Ke","year":"2021","journal-title":"Sol. RRL"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"2782","DOI":"10.1021\/acs.jpclett.9b00764","article-title":"Temperature-dependent transient absorption spectroscopy elucidates trapped-hole dynamics in CdS and CdSe Nanorods","volume":"10","author":"Utterback","year":"2019","journal-title":"J. Phys. Chem. Lett."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"27840","DOI":"10.1021\/acs.jpcc.0c09397","article-title":"Spectral and nonlinear optical properties of quasi-type II CdSe\/CdS nanotadpoles","volume":"124","author":"Liu","year":"2020","journal-title":"J. Phys. Chem. C"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"6071","DOI":"10.1021\/acs.nanolett.1c01404","article-title":"Streamlined mesoporous silica nanoparticles with tunable curvature from interfacial dynamic-migration strategy for nanomotors","volume":"21","author":"Ma","year":"2021","journal-title":"Nano Lett."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"10346","DOI":"10.1021\/acsnano.0c03909","article-title":"Ligand-induced chirality in asymmetric CdSe\/CdS nanostructures: A close look at chiral tadpoles","volume":"14","author":"Hao","year":"2020","journal-title":"ACS Nano"},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Di Mari, G.M., Mineo, G., Franz\u00f2, G., Mirabella, S., Bruno, E., and Strano, V. (2022). Low-Cost, High-Yield ZnO Nanostars Synthesis for Pseudocapacitor Applications. Nanomaterials, 12.","DOI":"10.3390\/nano12152588"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"128434","DOI":"10.1016\/j.cej.2021.128434","article-title":"Palladium and silver nanoparticles embedded on zinc oxide nanostars for photocatalytic degradation of pesticides and herbicides","volume":"410","author":"Veerakumar","year":"2021","journal-title":"Chem. Eng. J."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1007\/s00604-019-4031-3","article-title":"Three-dimensional zinc oxide nanostars anchored on graphene oxide for voltammetric determination of methyl parathion","volume":"187","author":"Manavalan","year":"2020","journal-title":"Microchim. Acta"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"30560","DOI":"10.1039\/D1RA04402H","article-title":"Star-shaped colloidal PbS nanocrystals: Structural evolution and growth mechanism","volume":"11","author":"Budniak","year":"2021","journal-title":"RSC Adv."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"1432","DOI":"10.1016\/j.apsb.2021.08.014","article-title":"Chiral mesoporous silica nano-screws as an efficient biomimetic oral drug delivery platform through multiple topological mechanisms","volume":"12","author":"Wang","year":"2022","journal-title":"Acta Pharm. Sin. B"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1016\/j.mattod.2017.11.003","article-title":"ZnO tetrapod materials for functional applications","volume":"21","author":"Mishra","year":"2018","journal-title":"Mater. Today"},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Myndrul, V., Iatsunskyi, I., Babayevska, N., Jarek, M., and Jesionowski, T. (2022). Effect of Electrode Modification with Chitosan and Nafion\u00ae on the Efficiency of Real-Time Enzyme Glucose Biosensors Based on ZnO Tetrapods. Materials, 15.","DOI":"10.3390\/ma15134672"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1007\/s10854-014-2470-5","article-title":"Investigation on the influence of dichromate ion on the ZnO nano-dumbbells and ZnCr2O4 nano-walls","volume":"26","author":"Dixit","year":"2015","journal-title":"J. Mater. Sci. Mater. Electron."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"5880","DOI":"10.1021\/nl402722n","article-title":"The electronic structure of CdSe\/CdS core\/shell seeded nanorods: Type-I or quasi-type-II?","volume":"13","author":"Eshet","year":"2013","journal-title":"Nano Lett."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"033508","DOI":"10.1117\/1.JNP.10.033508","article-title":"Optical properties of narrow band prolate ellipsoidal quantum layers ensemble","volume":"10","author":"Baghdasaryan","year":"2016","journal-title":"J. Nanophotonics"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/j.physe.2018.08.017","article-title":"Biexciton, negative and positive trions in strongly oblate ellipsoidal quantum dot","volume":"105","author":"Hayrapetyan","year":"2019","journal-title":"Phys. E Low-Dimens. Syst. Nanostruct."},{"key":"ref_52","first-page":"406","article-title":"Direct interband light absorption in conical quantum dot","volume":"16","author":"Hayrapetyan","year":"2015","journal-title":"J. Nanomater."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"32","DOI":"10.3103\/S1068337213010052","article-title":"On the possibility of implementation of Kohn\u2019s theorem in the case of ellipsoidal quantum dots","volume":"48","author":"Hayrapetyan","year":"2013","journal-title":"J. Contemp. Phys. (Armen. Acad. Sci.)"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1016\/j.physe.2015.09.047","article-title":"Implementation of Kohn\u2019s theorem for the ellipsoidal quantum dot in the presence of external magnetic field","volume":"75","author":"Hayrapetyan","year":"2016","journal-title":"Phys. E Low-Dimens. Syst. Nanostruct."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"136659","DOI":"10.1016\/j.cplett.2019.136659","article-title":"Optical properties of zig-zag and armchair ZnO colloidal nanoribbons","volume":"732","author":"Garoufalis","year":"2019","journal-title":"Chem. Phys. Lett."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"1604676","DOI":"10.1002\/adfm.201604676","article-title":"Multifunctional materials: A case study of the effects of metal doping on ZnO tetrapods with bismuth and tin oxides","volume":"27","author":"Postica","year":"2017","journal-title":"Adv. Funct. Mater."},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"108099","DOI":"10.1016\/j.jmgm.2021.108099","article-title":"II-VI core\/shell quantum dots and doping with transition metal ions as a means of tuning the magnetoelectronic properties of CdS\/ZnS core\/shell QDs: A DFT study","volume":"111","author":"Malik","year":"2022","journal-title":"J. Mol. Graph. Model."},{"key":"ref_58","doi-asserted-by":"crossref","unstructured":"David M\u00fczel, S., Bonhin, E.P., Guimar\u00e3es, N.M., and Guidi, E.S. (2020). Application of the finite element method in the analysis of composite materials: A review. Polymers, 12.","DOI":"10.3390\/polym12040818"},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1016\/j.ijmachtools.2012.01.006","article-title":"Modeling of machining of composite materials: A review","volume":"57","author":"Dandekar","year":"2012","journal-title":"Int. J. Mach. Tools Manuf."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"684","DOI":"10.1016\/j.compscitech.2009.01.004","article-title":"Modelling of chip separation in machining unidirectional FRP composites by stiffness degradation concept","volume":"69","author":"Lasri","year":"2009","journal-title":"Compos. Sci. Technol."},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/j.compscitech.2005.06.002","article-title":"Finite element modelling of damage progression in non-crimp fabric reinforced composites","volume":"66","author":"Zhao","year":"2006","journal-title":"Compos. Sci. Technol."},{"key":"ref_62","doi-asserted-by":"crossref","unstructured":"Mantashian, G.A., Zaqaryan, N.A., Mantashyan, P.A., Sarkisyan, H.A., Baskoutas, S., and Hayrapetyan, D.B. (2021). Linear and Nonlinear Optical Absorption of CdSe\/CdS Core\/Shell Quantum Dots in the Presence of Donor Impurity. Atoms, 9.","DOI":"10.3390\/atoms9040075"},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1016\/j.physe.2016.07.028","article-title":"Effect of hydrostatic pressure on diamagnetic susceptibility of hydrogenic donor impurity in core\/shell\/shell spherical quantum dot with Kratzer confining potential","volume":"84","author":"Hayrapetyan","year":"2016","journal-title":"Phys. E Low-Dimens. Syst. Nanostruct."},{"key":"ref_64","doi-asserted-by":"crossref","unstructured":"Mantashian, G.A., Mantashyan, P.A., Sarkisyan, H.A., Kazaryan, E.M., Bester, G., Baskoutas, S., and Hayrapetyan, D.B. (2021). Exciton-Related Raman Scattering, Interband Absorption and Photoluminescence in Colloidal CdSe\/CdS Core\/Shell Quantum Dots Ensemble. Nanomaterials, 11.","DOI":"10.3390\/nano11051274"},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1016\/j.physe.2018.06.019","article-title":"Simultaneous effects of electric field, shallow donor impurity and geometric shape on the electronic states in ellipsoidal ZnS\/CdSe core-shell quantum dots","volume":"103","author":"Cristea","year":"2018","journal-title":"Phys. E Low-Dimens. Syst. Nanostruct."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"109226","DOI":"10.1016\/j.jpcs.2019.109226","article-title":"Nonlinear optical properties of lens-shaped core\/shell quantum dots coupled with a wetting layer: Effects of transverse electric field, pressure, and temperature","volume":"138","author":"Choubani","year":"2020","journal-title":"J. Phys. Chem. Solids"},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"11424","DOI":"10.1039\/C9CP00476A","article-title":"Tuning of nonlinear absorption in highly luminescent CdSe based quantum dots with core\u2013shell and core\/multi-shell architectures","volume":"21","author":"Bhagyaraj","year":"2019","journal-title":"Phys. Chem. Chem. Phys."},{"key":"ref_68","doi-asserted-by":"crossref","unstructured":"Osorio, J.A., Caicedo-Paredes, D., Vinasco, J.A., Morales, A.L., Radu, A., Restrepo, R.L., Mart\u00ednez-Orozco, J.C., Tiutiunnyk, A., Laroze, D., and Hieu, N.N. (2020). Pyramidal core-shell quantum dot under applied electric and magnetic fields. Sci. Rep., 10.","DOI":"10.1038\/s41598-020-65442-x"},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"e03194","DOI":"10.1016\/j.heliyon.2020.e03194","article-title":"Donor impurity energy and optical absorption in spherical sector quantum dots","volume":"6","author":"Feddi","year":"2020","journal-title":"Heliyon"},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"245302","DOI":"10.1088\/1361-648X\/ac606b","article-title":"Impurity effects on binding energy, diamagnetic susceptibility, and photoionization cross-section of chalcopyrite AgInSe2 Nanotadpole","volume":"34","author":"Mantashian","year":"2022","journal-title":"J. Phys. Condens. Matter"},{"key":"ref_71","doi-asserted-by":"crossref","unstructured":"Pulgar-Vel\u00e1squez, L., Sierra-Ortega, J., Vinasco, J.A., Laroze, D., Radu, A., Kasapoglu, E., Restrepo, R.L., Gil-Corrales, J.A., Morales, A.L., and Duque, C.A. (2021). Shallow donor impurity states with excitonic contribution in GaAs\/AlGaAs and CdTe\/CdSe truncated conical quantum dots under applied magnetic field. Nanomaterials, 11.","DOI":"10.3390\/nano11112832"},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"107052","DOI":"10.1016\/j.spmi.2021.107052","article-title":"Hydrostatic pressure and temperature effects on spectrum of an off-center single dopant in a conical quantum dot with spherical edge","volume":"159","author":"Chnafi","year":"2021","journal-title":"Superlattices Microstruct."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"2015","DOI":"10.1016\/j.matpr.2020.09.251","article-title":"Finite element analysis of the effect of wetting layer on the electronic eigenstates of InP\/InGaP pyramidal quantum dots solar cell","volume":"39","author":"Dash","year":"2021","journal-title":"Mater. Today Proc."},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"2503","DOI":"10.1080\/14786435.2020.1766711","article-title":"Linear and nonlinear optical properties of a single dopant in GaN conical quantum dot with spherical cap","volume":"100","author":"Bikerouin","year":"2020","journal-title":"Philos. Mag."},{"key":"ref_75","doi-asserted-by":"crossref","first-page":"5401","DOI":"10.1038\/s41467-019-13349-1","article-title":"Colloidal quantum dot molecules manifesting quantum coupling at room temperature","volume":"10","author":"Cui","year":"2019","journal-title":"Nat. Commun."},{"key":"ref_76","doi-asserted-by":"crossref","first-page":"2461","DOI":"10.1088\/0953-4075\/32\/10\/313","article-title":"A study of confined quantum systems using the Woods-Saxon potential","volume":"32","author":"Costa","year":"1999","journal-title":"J. Phys. B At. Mol. Opt. Phys."},{"key":"ref_77","doi-asserted-by":"crossref","first-page":"3505","DOI":"10.1039\/c2cp23844f","article-title":"Temperature dependent spectral properties of type-I and quasi type-II CdSe\/CdS dot-in-rod nanocrystals","volume":"14","author":"Wen","year":"2012","journal-title":"Phys. Chem. Chem. Phys."}],"container-title":["Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-3197\/11\/1\/5\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T17:56:05Z","timestamp":1760118965000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-3197\/11\/1\/5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,2]]},"references-count":77,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2023,1]]}},"alternative-id":["computation11010005"],"URL":"https:\/\/doi.org\/10.3390\/computation11010005","relation":{},"ISSN":["2079-3197"],"issn-type":[{"value":"2079-3197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,1,2]]}}}