The European Physical Journal Plus

Volume 134 / No 10 (October 2019)

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Focus Point on Scientific Research in Conservation Science

Regular Article

Multi-analytical study of 14th to 19th century illuminated Moroccan manuscripts 542

Ghizlane Idrissi Serhrouchni, Latifa Hajji, Mohammed Talbi, Abdelhadi Lhassani, M’Hammed El Kouali, Sofia Pessanha, Maria Luísa Carvalho and Marta Manso

Published online: 31 October 2019

DOI: 10.1140/epjp/i2019-12896-2

Regular Article

Mortar analysis of historic buildings damaged by recent earthquakes in Italy 540

G. Roselli, D. Mirabile Gattia, O. AlShawa, P. Cinaglia, G. Di Girolami, C. Francola, F. Persia, E. Petrucci, R. Piloni, F. Scognamiglio et al. (3 more)

Published online: 31 October 2019

DOI: 10.1140/epjp/i2019-13024-2

Regular Article

Photocatalytic N-doped TiO₂ for self-cleaning of limestones 539

Laura Fornasini, Laura Bergamonti, Federica Bondioli, Danilo Bersani, Laura Lazzarini, Yaron Paz and Pier Paolo Lottici

Published online: 31 October 2019

DOI: 10.1140/epjp/i2019-12981-6

Focus Point on Fractional Differential Equations in Physics: Recent Advantages and Future Direction

Regular Article

Strange chaotic attractors under fractal-fractional operators using newly proposed numerical methods 523

Sania Qureshi, Abdon Atangana and Asif Ali Shaikh

Published online: 21 October 2019

DOI: 10.1140/epjp/i2019-13003-7

Regular Article

A novel technique to construct exact solutions for nonlinear partial differential equations 506

Behzad Ghanbari and Dumitru Baleanu

Published online: 14 October 2019

DOI: 10.1140/epjp/i2019-13037-9

Regular Article

Double pipe heat exchanger temperatures estimation using fractional observers 496

M. Alegria-Zamudio, R. F. Escobar-Jiménez, J. F. Gómez-Aguilar, J. García-Morales and J. A. Hernández-Pérez

Published online: 09 October 2019

DOI: 10.1140/epjp/i2019-12939-8

Regular Article

Elastic properties of vertically aligned carbon nanotubes: A molecular dynamics study 544

Fahimeh Mehralian, R. D. Firouz-Abadi and Alireza Vahid Moshtagh

Published online: 31 October 2019

DOI: 10.1140/epjp/i2019-12903-8

Regular Article

Unexpected magnetic behavior of Ga doped CuFe_1-xGa_xO₂ delafossite, x = 0.04: First principle calculation and Monte Carlo simulation 543

H. Bouda, T. Bahlagui, R. Masrour, L. Bahmad, A. El kenz and A. Benyoussef

Published online: 31 October 2019

DOI: 10.1140/epjp/i2019-12955-8

Regular Article

Nonrelativistic potential well problem in GUP formalism: Laplace transform approach 541

Seyed Amin Khorram-Hosseini, Hossein Panahi and Saber Zarrinkamar

Published online: 31 October 2019

DOI: 10.1140/epjp/i2019-12931-4

Regular Article

Dynamic behavior of an electromagnetic nanobeam using the Haar wavelet method and the higher-order Haar wavelet method 538

Subrat Kumar Jena and S. Chakraverty

Published online: 28 October 2019

DOI: 10.1140/epjp/i2019-12874-8

Review

Prospects for multi-messenger extended emission from core-collapse supernovae in the Local Universe 537

Maurice H. P. M. van Putten, Amir Levinson, Filippo Frontera, Cristiano Guidorzi, Lorenzo Amati and Massimo Della Valle

Published online: 28 October 2019

DOI: 10.1140/epjp/i2019-12932-3

Open Access

Correction

Correction to: Numerical solution to the telegraph equation via the geometric moving Kriging meshfree method 536

M. S. Hashemi

Published online: 25 October 2019

DOI: 10.1140/epjp/i2019-13077-1

Regular Article

Numerical study of unsteady natural convection of variable-order fractional Jeffrey nanofluid over an oscillating plate in a porous medium involved with magnetic, chemical and heat absorption effects using Chebyshev cardinal functions 535

R. Roohi, M. H. Heydari and H. G. Sun

Published online: 25 October 2019

DOI: 10.1140/epjp/i2019-12873-9

Regular Article

Clear-sky models evaluation of two sites over Algeria for PV forecasting purpose 534

Kacem Gairaa, Saïd Benkaciali and Mawloud Guermoui

Published online: 25 October 2019

DOI: 10.1140/epjp/i2019-12917-2

Regular Article

The gauged Thirring model in thermodynamic equilibrium 533

C. A. Bonin and B. M. Pimentel

Published online: 25 October 2019

DOI: 10.1140/epjp/i2019-12869-5

Regular Article

Dynamical analysis and chaos synchronization of a fractional-order novel financial model based on Caputo-Fabrizio derivative 532

A. Al-khedhairi

Published online: 25 October 2019

DOI: 10.1140/epjp/i2019-12878-4

Regular Article

A new simple PDF parametrization: Improved description of the HERA data 531

Marco Bonvini and Francesco Giuli

Published online: 25 October 2019

DOI: 10.1140/epjp/i2019-12872-x

Regular Article

Two-dimensional induced grating in Rydberg atoms via microwave field 530

Tayebeh Naseri

Published online: 23 October 2019

DOI: 10.1140/epjp/i2019-12906-5

Regular Article

Investigating tunable bandwidth cavity via three-level atomic systems 529

Tayebeh Naseri and Masoumeh Hatami-Mehr

Published online: 23 October 2019

DOI: 10.1140/epjp/i2019-12899-y

Regular Article

Multitechnique approach for unveiling the technological evolution in building materials during the Roman Imperial Age: The Atrium Vestae in Rome 528

Elisa Boccalon, Francesca Rosi, Manuela Vagnini and Aldo Romani

Published online: 23 October 2019

DOI: 10.1140/epjp/i2019-12936-y

Regular Article

Nonlinear bending and postbuckling analysis of FG nanoscale beams using the two-phase fractional nonlocal continuum mechanics 527

M. Faraji Oskouie, R. Ansari and H. Rouhi

Published online: 23 October 2019

DOI: 10.1140/epjp/i2019-12863-y

Regular Article

Geometrical unification of gravitation and electromagnetism 526

Sergio A. Hojman

Published online: 23 October 2019

DOI: 10.1140/epjp/i2019-13006-4

Regular Article

Optical and acoustic polaron formation: Dynamic matrix approach (DMA) 525

M. N. Jipdi, I. F. Fokou, M. Tchoffo and L. C. Fai

Published online: 23 October 2019

DOI: 10.1140/epjp/i2019-12902-9

Open Access

Correction

Correction to: Existence and uniqueness of solution of a fractional order tuberculosis model 524

Isa Abdullahi Baba and Behzad Ghanbari

Published online: 22 October 2019

DOI: 10.1140/epjp/i2019-13068-2

Review

Rheological effects of biomimetic propulsion on fluid flow: An application of bio-engineering 522

Khurram Javid, Mohsan Hassan, M. Imran Asjad, Irfan Ali and Abdul Nazib

Published online: 18 October 2019

DOI: 10.1140/epjp/i2019-12801-1

Regular Article

Conformally flat polytropes for anisotropic fluid in f (R) gravity 521

M. Z. Bhatti and Z. Tariq

Published online: 18 October 2019

DOI: 10.1140/epjp/i2019-12934-1

Regular Article

Microscopic insight into low level systematics and negative-parity yrast bands in odd-mass 520

Preeti Verma, Suram Singh, Arun Bharti and S. K. Khosa

Published online: 18 October 2019

DOI: 10.1140/epjp/i2019-12857-9

Regular Article

Perturbations to kink-like topological defects in 2D anti de Sitter spacetime 519

Orlando Alvarez and Matthew Haddad

Published online: 18 October 2019

DOI: 10.1140/epjp/i2019-12864-x

Regular Article

The Dirac equation in (1 + 2) -dimensional Gürses space-time backgrounds 518

Faizuddin Ahmed

Published online: 18 October 2019

DOI: 10.1140/epjp/i2019-12876-6

Regular Article

Role of confined gluons and pions in nucleon-nucleon interaction 517

V. K. Nilakanthan, V. C. Shastry, S. Raghavendra and K. B. Vijaya Kumar

Published online: 17 October 2019

DOI: 10.1140/epjp/i2019-12908-3

Regular Article

On Fick’s law in asymptotic transport theory 516

N. Chentre, P. Saracco, S. Dulla and P. Ravetto

Published online: 17 October 2019

DOI: 10.1140/epjp/i2019-13045-9

Regular Article

Thermodynamics of scalar-tensor-Maxwell black holes 515

M. Dehghani

Published online: 17 October 2019

DOI: 10.1140/epjp/i2019-13046-8

Regular Article

Tsallis, Rényi and Sharma-Mittal holographic and new agegraphic dark energy models in D-dimensional fractal universe 514

Sayani Maity and Ujjal Debnath

Published online: 17 October 2019

DOI: 10.1140/epjp/i2019-12884-6

Regular Article

Multidimensional freak waves in electron depleted dusty magnetoplasmas having superthermal ion with two temperatures 513

Salemah A. Almutlak, S. A. El-Tantawy, Shaukat Ali Shan and Sherif M. E. Ismaeel

Published online: 17 October 2019

DOI: 10.1140/epjp/i2019-12881-9

Open Access

Technical Report

Infrared image blurring with distance beyond an initial aperture plane 512

J. A. Grzesik

Published online: 17 October 2019

DOI: 10.1140/epjp/i2019-12886-4

Regular Article

Tunneling of massive vector particles from types of BTZ-like black holes 511

Wajiha Javed, Riasat Ali, Rimsha Babar and Ali Övgün

Published online: 17 October 2019

DOI: 10.1140/epjp/i2019-12877-5

Regular Article

Vibration analysis of graphene sheets resting on Winkler/Pasternak foundation: A multiscale approach 510

A. Shahabodini, Y. Gholami, R. Ansari and H. Rouhi

Published online: 16 October 2019

DOI: 10.1140/epjp/i2019-12856-x

Regular Article

Numerical calculus solution of gait recognition algorithm based on compressed sensing 509

Guifeng Bai, Yunqiang Sun and Yongwei Li

Published online: 16 October 2019

DOI: 10.1140/epjp/i2019-12868-6

Regular Article

Nonlinear forced vibrations of sandwich smart nanobeams with two-phase piezo-magnetic face sheets 508

Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Nikookar, Mohammad Reza Barati and AMS Hamouda

Published online: 14 October 2019

DOI: 10.1140/epjp/i2019-12806-8

Regular Article

Identification of hysteresis models using real-coded genetic algorithms 507

Hussam J. Khasawneh, Zaer S. Abo-Hammour, Mohammad I. Al Saaideh and Shaher M. Momani

Published online: 14 October 2019

DOI: 10.1140/epjp/i2019-12883-7

Regular Article

Deposition of SnS thin films by chemical bath deposition method: Effect of surfactants 505

Imen Ammar, Abdelaziz Gassoumi, Anis Akkari, Fabien Delpech, Souad Ammar and Najoua Turki-Kamoun

Published online: 11 October 2019

DOI: 10.1140/epjp/i2019-12976-3

Regular Article

Bouncing cosmology in an extended theory of gravity 504

Sunil Kumar Tripathy, Rakesh Kumar Khuntia and Priyabrata Parida

Published online: 11 October 2019

DOI: 10.1140/epjp/i2019-12879-3

Open Access

Regular Article

On searches for gravitational dark matter with quantum sensors 503

Xavier Calmet

Published online: 11 October 2019

DOI: 10.1140/epjp/i2019-12885-5

Regular Article

The nonextensive Bose-Einstein condensation and photon gas with parameter transformation 502

Pengfei Ma, Yahui Zheng and Guangyue Qi

Published online: 11 October 2019

DOI: 10.1140/epjp/i2019-12882-8

Open Access

Retraction Note

Retraction Note: A 2D fluid motion model of the estuarine water circulation: Physical analysis of the salinity stratification in the Sebou estuary 501

The Publishers

Published online: 10 October 2019

DOI: 10.1140/epjp/i2019-13044-x

Regular Article

Entropy optimization in Ag-H₂O and Cu-H₂O nanomaterial flow with cubic autocatalysis chemical reaction 500

M. Ijaz Khan, Sania Javed, M. Waqas, Tasawar Hayat and Ahmed Alsaedi

Published online: 09 October 2019

DOI: 10.1140/epjp/i2019-12820-x

Regular Article

Dynamics of a new hyperchaotic system and multistability 499

M. F. Abdul Rahim, Hayder Natiq, N. A. A. Fataf and Santo Banerjee

Published online: 09 October 2019

DOI: 10.1140/epjp/i2019-13005-5

Regular Article

Reheating from F-term inflation on brane and gravitino abundance 498

I. Khay, F. Salamate, M. Ferricha-Alami, H. Chakir and M. Bennai

Published online: 09 October 2019

DOI: 10.1140/epjp/i2019-12860-2

Regular Article

Density functional investigation on structural, electronic and magnetic properties of ruthenium- or osmium-doped rhodium clusters and their application towards H₂S gas sensing and activation 497

Abhijit Dutta, Abhijit Shyam and Paritosh Mondal

Published online: 09 October 2019

DOI: 10.1140/epjp/i2019-12849-9

Regular Article

Thermodynamic properties of an Aharonov-Bohm quantum ring 495

Rubens R. S. Oliveira, Adailton A. Araújo Filho, Francisco C. E. Lima, Roberto V. Maluf and Carlos A. S. Almeida

Published online: 09 October 2019

DOI: 10.1140/epjp/i2019-12880-x

Regular Article

Mitigating retinal damage and circadian rhythm modification by blue-blocking spectacles lenses: evaluation parameters 494

Regina Comparetto and Alessandro Farini

Published online: 09 October 2019

DOI: 10.1140/epjp/i2019-12848-x

Open Access

Regular Article

Quantum entanglement in physical and cognitive systems: A conceptual analysis and a general representation 493

D. Aerts, J. Aerts Arguëlles, L. Beltran, S. Geriente, M. Sassoli de Bianchi, S. Sozzo and T. Veloz

Published online: 09 October 2019

DOI: 10.1140/epjp/i2019-12987-0

Regular Article

Diffusion in a heterogeneous system, fractional dynamics and anomalous diffusion 492

E. K. Lenzi, M. K. Lenzi and R. S. Zola

Published online: 07 October 2019

DOI: 10.1140/epjp/i2019-12867-7

Regular Article

Non-minimally coupled nonlinear spinor field in Bianchi type-I cosmology 491

Bijan Saha

Published online: 07 October 2019

DOI: 10.1140/epjp/i2019-12859-7

Regular Article

Bohr Hamiltonian with multiparameter exponential-type potential for triaxial nuclei 490

Ema’a Ema’a Jean Marie, Tchana Mbadjoun Basile, Ali Zarma, Ele Abiama Patrice and Ben-Bolie Germain Hubert

Published online: 04 October 2019

DOI: 10.1140/epjp/i2019-12850-4

Regular Article

Existence and uniqueness of solution of a fractional order tuberculosis model 489

Isa Abdullahi Baba and Behzad Ghanbari

Published online: 04 October 2019

DOI: 10.1140/epjp/i2019-13009-1

Regular Article

On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method 488

M. S. Hashemi, Mustafa Inc, M. Parto-Haghighi and Mustafa Bayram

Published online: 04 October 2019

DOI: 10.1140/epjp/i2019-12845-1

Regular Article

Tilted shear-free axially symmetric fluids in f(R) gravity 487

Z. Yousaf, M. Z. Bhatti and S. Yaseen

Published online: 03 October 2019

DOI: 10.1140/epjp/i2019-12862-0

Regular Article

Nonlinear free vibration of functionally graded viscoelastic piezoelectric doubly curved nanoshells with surface effects 486

Changsong Zhu, Xueqian Fang and Shaopu Yang

Published online: 02 October 2019

DOI: 10.1140/epjp/i2019-12852-2

Regular Article

Solitons and elliptic function solutions of higher-order dispersive and perturbed nonlinear Schrödinger equations with the power-law nonlinearities in non-Kerr medium 485

Naila Nasreen, Aly R. Seadawy, Dianchen Lu and Muhammad Arshad

Published online: 02 October 2019

DOI: 10.1140/epjp/i2019-12836-2

Regular Article

Innovative operational matrices based computational scheme for fractional diffusion problems with the Riesz derivative 484

M. Hamid, M. Usman, T. Zubair, R. U. Haq and W. Wang

Published online: 02 October 2019

DOI: 10.1140/epjp/i2019-12871-y

Regular Article

Unsupervised classification of NPPs transients based on online dynamic quantum clustering 483

Khalil Moshkbar-Bakhshayesh and Esmaiel Pourjafarabadi

Published online: 02 October 2019

DOI: 10.1140/epjp/i2019-12915-4

Regular Article

An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women 482

Manish Goyal, Haci Mehmet Baskonus and Amit Prakash

Published online: 02 October 2019

DOI: 10.1140/epjp/i2019-12854-0

Regular Article

Fractional investigations of zoonotic visceral leishmaniasis disease with singular and non-singular kernel 481

Muhammad Altaf Khan, Olusola Kolebaje, Ahmet Yildirim, Saif Ullah, P. Kumam and P. Thounthong

Published online: 02 October 2019

DOI: 10.1140/epjp/i2019-12861-1

Regular Article

Conformal cosmological black holes: Towards restoring determinism to Einstein theory 480

Fayçal Hammad, Dilek K. Çiftci and Valerio Faraoni

Published online: 02 October 2019

DOI: 10.1140/epjp/i2019-12796-5

Regular Article

Stability of three-dimensional dust acoustic waves in a strongly coupled dusty plasma including kappa distributed superthermal ions and electrons 479

W. F. El-Taibany, N. A. Zedan and A. Atteya

Published online: 01 October 2019

DOI: 10.1140/epjp/i2019-12888-2

Regular Article

Meson spectral function and screening masses in magnetized quark gluon plasma 478

Purnendu Chakraborty

Published online: 01 October 2019

DOI: 10.1140/epjp/i2019-12847-y

EPJ

The European Physical Journal Plus

Volume 134 / No 10 (October 2019)

Focus Point on Scientific Research in Conservation Science

Multi-analytical study of 14th to 19th century illuminated Moroccan manuscripts 542

Mortar analysis of historic buildings damaged by recent earthquakes in Italy 540

Photocatalytic N-doped TiO2 for self-cleaning of limestones 539

Focus Point on Fractional Differential Equations in Physics: Recent Advantages and Future Direction

Strange chaotic attractors under fractal-fractional operators using newly proposed numerical methods 523

A novel technique to construct exact solutions for nonlinear partial differential equations 506

Double pipe heat exchanger temperatures estimation using fractional observers 496

Elastic properties of vertically aligned carbon nanotubes: A molecular dynamics study 544

Unexpected magnetic behavior of Ga doped CuFe1-xGaxO2 delafossite, x = 0.04: First principle calculation and Monte Carlo simulation 543

Nonrelativistic potential well problem in GUP formalism: Laplace transform approach 541

Dynamic behavior of an electromagnetic nanobeam using the Haar wavelet method and the higher-order Haar wavelet method 538

Prospects for multi-messenger extended emission from core-collapse supernovae in the Local Universe 537

Correction to: Numerical solution to the telegraph equation via the geometric moving Kriging meshfree method 536

Numerical study of unsteady natural convection of variable-order fractional Jeffrey nanofluid over an oscillating plate in a porous medium involved with magnetic, chemical and heat absorption effects using Chebyshev cardinal functions 535

Clear-sky models evaluation of two sites over Algeria for PV forecasting purpose 534

The gauged Thirring model in thermodynamic equilibrium 533

Dynamical analysis and chaos synchronization of a fractional-order novel financial model based on Caputo-Fabrizio derivative 532

A new simple PDF parametrization: Improved description of the HERA data 531

Two-dimensional induced grating in Rydberg atoms via microwave field 530

Investigating tunable bandwidth cavity via three-level atomic systems 529

Multitechnique approach for unveiling the technological evolution in building materials during the Roman Imperial Age: The Atrium Vestae in Rome 528

Nonlinear bending and postbuckling analysis of FG nanoscale beams using the two-phase fractional nonlocal continuum mechanics 527

Geometrical unification of gravitation and electromagnetism 526

Optical and acoustic polaron formation: Dynamic matrix approach (DMA) 525

Correction to: Existence and uniqueness of solution of a fractional order tuberculosis model 524

Rheological effects of biomimetic propulsion on fluid flow: An application of bio-engineering 522

Conformally flat polytropes for anisotropic fluid in f (R) gravity 521

Microscopic insight into low level systematics and negative-parity yrast bands in odd-mass 520

Perturbations to kink-like topological defects in 2D anti de Sitter spacetime 519

The Dirac equation in (1 + 2) -dimensional Gürses space-time backgrounds 518

Role of confined gluons and pions in nucleon-nucleon interaction 517

On Fick’s law in asymptotic transport theory 516

Thermodynamics of scalar-tensor-Maxwell black holes 515

Tsallis, Rényi and Sharma-Mittal holographic and new agegraphic dark energy models in D-dimensional fractal universe 514

Multidimensional freak waves in electron depleted dusty magnetoplasmas having superthermal ion with two temperatures 513

Infrared image blurring with distance beyond an initial aperture plane 512

Tunneling of massive vector particles from types of BTZ-like black holes 511

Vibration analysis of graphene sheets resting on Winkler/Pasternak foundation: A multiscale approach 510

Numerical calculus solution of gait recognition algorithm based on compressed sensing 509

Nonlinear forced vibrations of sandwich smart nanobeams with two-phase piezo-magnetic face sheets 508

Identification of hysteresis models using real-coded genetic algorithms 507

Deposition of SnS thin films by chemical bath deposition method: Effect of surfactants 505

Bouncing cosmology in an extended theory of gravity 504

On searches for gravitational dark matter with quantum sensors 503

The nonextensive Bose-Einstein condensation and photon gas with parameter transformation 502

Retraction Note: A 2D fluid motion model of the estuarine water circulation: Physical analysis of the salinity stratification in the Sebou estuary 501

Entropy optimization in Ag-H2O and Cu-H2O nanomaterial flow with cubic autocatalysis chemical reaction 500

Dynamics of a new hyperchaotic system and multistability 499

Reheating from F-term inflation on brane and gravitino abundance 498

Density functional investigation on structural, electronic and magnetic properties of ruthenium- or osmium-doped rhodium clusters and their application towards H2S gas sensing and activation 497

Thermodynamic properties of an Aharonov-Bohm quantum ring 495

Mitigating retinal damage and circadian rhythm modification by blue-blocking spectacles lenses: evaluation parameters 494

Quantum entanglement in physical and cognitive systems: A conceptual analysis and a general representation 493

Diffusion in a heterogeneous system, fractional dynamics and anomalous diffusion 492

Non-minimally coupled nonlinear spinor field in Bianchi type-I cosmology 491

Bohr Hamiltonian with multiparameter exponential-type potential for triaxial nuclei 490

Existence and uniqueness of solution of a fractional order tuberculosis model 489

On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method 488

Tilted shear-free axially symmetric fluids in f(R) gravity 487

Nonlinear free vibration of functionally graded viscoelastic piezoelectric doubly curved nanoshells with surface effects 486

Solitons and elliptic function solutions of higher-order dispersive and perturbed nonlinear Schrödinger equations with the power-law nonlinearities in non-Kerr medium 485

Innovative operational matrices based computational scheme for fractional diffusion problems with the Riesz derivative 484

Unsupervised classification of NPPs transients based on online dynamic quantum clustering 483

An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women 482

Fractional investigations of zoonotic visceral leishmaniasis disease with singular and non-singular kernel 481

Conformal cosmological black holes: Towards restoring determinism to Einstein theory 480

Stability of three-dimensional dust acoustic waves in a strongly coupled dusty plasma including kappa distributed superthermal ions and electrons 479

Meson spectral function and screening masses in magnetized quark gluon plasma 478

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Conference announcements

Photocatalytic N-doped TiO₂ for self-cleaning of limestones 539

Unexpected magnetic behavior of Ga doped CuFe_1-xGa_xO₂ delafossite, x = 0.04: First principle calculation and Monte Carlo simulation 543

Entropy optimization in Ag-H₂O and Cu-H₂O nanomaterial flow with cubic autocatalysis chemical reaction 500

Density functional investigation on structural, electronic and magnetic properties of ruthenium- or osmium-doped rhodium clusters and their application towards H₂S gas sensing and activation 497