TY  - JOUR
AU  - Majkić, Milena D.
AU  - Nedeljković, Nataša N.
AU  - Dojčilović, Radovan
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1766
AB  - We consider the slow highly charged ions impinging upon a metal surface covered with a thin dielectric film, and formation of the surface nanostructures (craters) from the standpoint of the required energy. For the moderate ionic velocities, the size of the surface features depends on the deposited kinetic energy of the projectile and the ionic neutralization energy. The neutralization energy is calculated by employing the recently developed quasi-resonant two-state vector model for the intermediate Rydberg state population and the micro-staircase model for the cascade neutralization. The electron interactions with the ionic core, polarized dielectric and charge induced on the metal surface are modelled by the appropriate asymptotic expressions and the method for calculation of the effective ionic charges in the dielectric is proposed. The results are presented for the interaction of XeZ+ ions (velocity v = 0.25 a.u.; 25 LT Z LT 45) with the metal surface (Co) covered with a thin dielectric film, for model values of dielectric constant inside the interaction region. In the absence of dielectric film, the neutralization energy is lower than the potential (ionization) energy due to the incomplete neutralization. The presence of dielectric film additionally decreases the neutralization energy. We calculate the projectile neutralization energy in the perturbed dielectric (perturbation is caused by the ionic motion and the surface structure formation). We correlate the neutralization energy added to the deposited kinetic energy with the experimentally obtained energy necessary for the formation of the nano-crater of a given depth.
T2  - Materials Research Express
T1  - Interaction of slow highly charged ions with a metal surface covered with a thin dielectric film. The role of the neutralization energy in the nanostructures formation
VL  - 4
IS  - 9
DO  - 10.1088/2053-1591/aa8bc7
ER  - 

@article{
author = "Majkić, Milena D. and Nedeljković, Nataša N. and Dojčilović, Radovan",
year = "2017",
abstract = "We consider the slow highly charged ions impinging upon a metal surface covered with a thin dielectric film, and formation of the surface nanostructures (craters) from the standpoint of the required energy. For the moderate ionic velocities, the size of the surface features depends on the deposited kinetic energy of the projectile and the ionic neutralization energy. The neutralization energy is calculated by employing the recently developed quasi-resonant two-state vector model for the intermediate Rydberg state population and the micro-staircase model for the cascade neutralization. The electron interactions with the ionic core, polarized dielectric and charge induced on the metal surface are modelled by the appropriate asymptotic expressions and the method for calculation of the effective ionic charges in the dielectric is proposed. The results are presented for the interaction of XeZ+ ions (velocity v = 0.25 a.u.; 25 LT Z LT 45) with the metal surface (Co) covered with a thin dielectric film, for model values of dielectric constant inside the interaction region. In the absence of dielectric film, the neutralization energy is lower than the potential (ionization) energy due to the incomplete neutralization. The presence of dielectric film additionally decreases the neutralization energy. We calculate the projectile neutralization energy in the perturbed dielectric (perturbation is caused by the ionic motion and the surface structure formation). We correlate the neutralization energy added to the deposited kinetic energy with the experimentally obtained energy necessary for the formation of the nano-crater of a given depth.",
journal = "Materials Research Express",
title = "Interaction of slow highly charged ions with a metal surface covered with a thin dielectric film. The role of the neutralization energy in the nanostructures formation",
volume = "4",
number = "9",
doi = "10.1088/2053-1591/aa8bc7"
}

Majkić, M. D., Nedeljković, N. N.,& Dojčilović, R.. (2017). Interaction of slow highly charged ions with a metal surface covered with a thin dielectric film. The role of the neutralization energy in the nanostructures formation. in Materials Research Express, 4(9).
https://doi.org/10.1088/2053-1591/aa8bc7

Majkić MD, Nedeljković NN, Dojčilović R. Interaction of slow highly charged ions with a metal surface covered with a thin dielectric film. The role of the neutralization energy in the nanostructures formation. in Materials Research Express. 2017;4(9).
doi:10.1088/2053-1591/aa8bc7 .

Majkić, Milena D., Nedeljković, Nataša N., Dojčilović, Radovan, "Interaction of slow highly charged ions with a metal surface covered with a thin dielectric film. The role of the neutralization energy in the nanostructures formation" in Materials Research Express, 4, no. 9 (2017),
https://doi.org/10.1088/2053-1591/aa8bc7 . .

TY  - JOUR
AU  - Nedeljković, Nataša N.
AU  - Majkić, Milena D.
AU  - Božanić, Dušan K.
AU  - Dojčilović, Radovan
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1092
AB  - We consider the population dynamics of the intermediate Rydberg states of highly charged ions (core charge Z GT GT 1, principal quantum number n(A) GT GT 1) interacting with solid surfaces at arbitrary collision geometry. The recently developed resonant two-state vector model for the grazing incidence (2012 J. Phys. B: At. Mol. Opt. Phys. 45 215202) is extended to the quasi-resonant case and arbitrary angle of incidence. According to the model, the population probabilities depend both on the projectile parallel and perpendicular velocity components, in a complementary way. A cascade neutralization process for XeZ+ ions, for Z = 15-45, interacting with a conductive-surface is considered by taking into account the population dynamics. For an arbitrary collision geometry and given range of ionic velocities, a micro-staircase model for the simultaneous calculation of the kinetic energy gain and the charge state of the ion in front of the surface is proposed. The relevance of the obtained results for the explanation of the formation of nanostructures on solid surfaces by slow highly charged ions for normal incidence geometry is briefly discussed.
PB  - IOP Publishing
T2  - Journal of Physics. B: Atomic Molecular and Optical Physics
T1  - Dynamics of the Rydberg state population of slow highly charged ions impinging a solid surface at arbitrary collision geometry
VL  - 49
IS  - 12
DO  - 10.1088/0953-4075/49/12/125201
ER  - 

@article{
author = "Nedeljković, Nataša N. and Majkić, Milena D. and Božanić, Dušan K. and Dojčilović, Radovan",
year = "2016",
abstract = "We consider the population dynamics of the intermediate Rydberg states of highly charged ions (core charge Z GT GT 1, principal quantum number n(A) GT GT 1) interacting with solid surfaces at arbitrary collision geometry. The recently developed resonant two-state vector model for the grazing incidence (2012 J. Phys. B: At. Mol. Opt. Phys. 45 215202) is extended to the quasi-resonant case and arbitrary angle of incidence. According to the model, the population probabilities depend both on the projectile parallel and perpendicular velocity components, in a complementary way. A cascade neutralization process for XeZ+ ions, for Z = 15-45, interacting with a conductive-surface is considered by taking into account the population dynamics. For an arbitrary collision geometry and given range of ionic velocities, a micro-staircase model for the simultaneous calculation of the kinetic energy gain and the charge state of the ion in front of the surface is proposed. The relevance of the obtained results for the explanation of the formation of nanostructures on solid surfaces by slow highly charged ions for normal incidence geometry is briefly discussed.",
publisher = "IOP Publishing",
journal = "Journal of Physics. B: Atomic Molecular and Optical Physics",
title = "Dynamics of the Rydberg state population of slow highly charged ions impinging a solid surface at arbitrary collision geometry",
volume = "49",
number = "12",
doi = "10.1088/0953-4075/49/12/125201"
}

Nedeljković, N. N., Majkić, M. D., Božanić, D. K.,& Dojčilović, R.. (2016). Dynamics of the Rydberg state population of slow highly charged ions impinging a solid surface at arbitrary collision geometry. in Journal of Physics. B: Atomic Molecular and Optical Physics
IOP Publishing., 49(12).
https://doi.org/10.1088/0953-4075/49/12/125201

Nedeljković NN, Majkić MD, Božanić DK, Dojčilović R. Dynamics of the Rydberg state population of slow highly charged ions impinging a solid surface at arbitrary collision geometry. in Journal of Physics. B: Atomic Molecular and Optical Physics. 2016;49(12).
doi:10.1088/0953-4075/49/12/125201 .

Nedeljković, Nataša N., Majkić, Milena D., Božanić, Dušan K., Dojčilović, Radovan, "Dynamics of the Rydberg state population of slow highly charged ions impinging a solid surface at arbitrary collision geometry" in Journal of Physics. B: Atomic Molecular and Optical Physics, 49, no. 12 (2016),
https://doi.org/10.1088/0953-4075/49/12/125201 . .

TY  - CONF
AU  - Mirkovic, M. A.
AU  - Nedeljković, Nataša N.
AU  - Božanić, Dušan K.
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6907
AB  - Processes of formation and decay of the Rydberg states of multiply charged ions escaping solid surfaces with intermediate velocities (v approximate to 1 a.u.) represent complex quantum events that require a detailed quantum description. We have developed a two-state vector model for the population process, with the functions Psi(1) and Psi(2) for definition of the state of a single active electron. The electron exchange between the solid and the moving ion is described by a mixed flux through a plane positioned between them. For the low values of the angular momentum quantum numbers l the radial electronic coordinate rho can be neglected, whereas for the large-l values a wide space region around the projectile trajectory was taken into account. The reionization of the previously populated states is considered as a decay of the wave function Psi(2). The corresponding decay rates are obtained by an appropriate etalon equation method: in the large-l case the radial electronic coordinate rho is treated as a variational parameter. The theoretical predictions based on that population-reionization mechanism are compared with the available beam-foil experimental data, as well as the experimental data obtained in the interaction of multiply charged ions with micro-capillary foil. Generally, the model reproduces the experimentally observed non-linear trend of the l distributions from l = 0 to l(max) = n - 1.
C3  - Journal of Physics: Conference Series
T1  - Formation and decay of the Rydberg states of multiply charged ions interacting with solid surfaces
VL  - 257
DO  - 10.1088/1742-6596/257/1/012010
ER  - 

@conference{
author = "Mirkovic, M. A. and Nedeljković, Nataša N. and Božanić, Dušan K.",
year = "2010",
abstract = "Processes of formation and decay of the Rydberg states of multiply charged ions escaping solid surfaces with intermediate velocities (v approximate to 1 a.u.) represent complex quantum events that require a detailed quantum description. We have developed a two-state vector model for the population process, with the functions Psi(1) and Psi(2) for definition of the state of a single active electron. The electron exchange between the solid and the moving ion is described by a mixed flux through a plane positioned between them. For the low values of the angular momentum quantum numbers l the radial electronic coordinate rho can be neglected, whereas for the large-l values a wide space region around the projectile trajectory was taken into account. The reionization of the previously populated states is considered as a decay of the wave function Psi(2). The corresponding decay rates are obtained by an appropriate etalon equation method: in the large-l case the radial electronic coordinate rho is treated as a variational parameter. The theoretical predictions based on that population-reionization mechanism are compared with the available beam-foil experimental data, as well as the experimental data obtained in the interaction of multiply charged ions with micro-capillary foil. Generally, the model reproduces the experimentally observed non-linear trend of the l distributions from l = 0 to l(max) = n - 1.",
journal = "Journal of Physics: Conference Series",
title = "Formation and decay of the Rydberg states of multiply charged ions interacting with solid surfaces",
volume = "257",
doi = "10.1088/1742-6596/257/1/012010"
}

Mirkovic, M. A., Nedeljković, N. N.,& Božanić, D. K.. (2010). Formation and decay of the Rydberg states of multiply charged ions interacting with solid surfaces. in Journal of Physics: Conference Series, 257.
https://doi.org/10.1088/1742-6596/257/1/012010

Mirkovic MA, Nedeljković NN, Božanić DK. Formation and decay of the Rydberg states of multiply charged ions interacting with solid surfaces. in Journal of Physics: Conference Series. 2010;257.
doi:10.1088/1742-6596/257/1/012010 .

Mirkovic, M. A., Nedeljković, Nataša N., Božanić, Dušan K., "Formation and decay of the Rydberg states of multiply charged ions interacting with solid surfaces" in Journal of Physics: Conference Series, 257 (2010),
https://doi.org/10.1088/1742-6596/257/1/012010 . .

TY  - JOUR
AU  - Nedeljković, Nataša N.
AU  - Božanić, Dušan K.
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3939
AB  - The ionization dynamics of slow hydrogenlike Rydberg atoms (principal quantum number n GT GT 1) approaching solid surfaces is considered via an ion-collection electric field, using an appropriate etalon equation method. The complex energy eigenvalue problem is solved in the critical region R approximate to R(c) approximate to R(c)(I) of the ion-surface distances R in which the ionization process is mainly localized and the parabolic symmetry is preserved. The relatively simple analytical forms for the parabolic rates enable us to elucidate the main features of the self-consistent ionization dynamics of the projectiles with the time-dependent charges. The ionization distances R(c)(I) are calculated and an agreement of the averaged probability (for the atomic beam) with the corresponding experimental results is discussed for the relevant parameters of the ion-surface system. The formulas are suggested for the simulation of the experimental signal and for deducing the R(c)(I) values from this signal.
T2  - Physical Review A
T1  - Ionization dynamics via ion-collection field of Rydberg atoms approaching metal surfaces
VL  - 81
IS  - 3
DO  - 10.1103/PhysRevA.81.032902
ER  - 

@article{
author = "Nedeljković, Nataša N. and Božanić, Dušan K.",
year = "2010",
abstract = "The ionization dynamics of slow hydrogenlike Rydberg atoms (principal quantum number n GT GT 1) approaching solid surfaces is considered via an ion-collection electric field, using an appropriate etalon equation method. The complex energy eigenvalue problem is solved in the critical region R approximate to R(c) approximate to R(c)(I) of the ion-surface distances R in which the ionization process is mainly localized and the parabolic symmetry is preserved. The relatively simple analytical forms for the parabolic rates enable us to elucidate the main features of the self-consistent ionization dynamics of the projectiles with the time-dependent charges. The ionization distances R(c)(I) are calculated and an agreement of the averaged probability (for the atomic beam) with the corresponding experimental results is discussed for the relevant parameters of the ion-surface system. The formulas are suggested for the simulation of the experimental signal and for deducing the R(c)(I) values from this signal.",
journal = "Physical Review A",
title = "Ionization dynamics via ion-collection field of Rydberg atoms approaching metal surfaces",
volume = "81",
number = "3",
doi = "10.1103/PhysRevA.81.032902"
}

Nedeljković, N. N.,& Božanić, D. K.. (2010). Ionization dynamics via ion-collection field of Rydberg atoms approaching metal surfaces. in Physical Review A, 81(3).
https://doi.org/10.1103/PhysRevA.81.032902

Nedeljković NN, Božanić DK. Ionization dynamics via ion-collection field of Rydberg atoms approaching metal surfaces. in Physical Review A. 2010;81(3).
doi:10.1103/PhysRevA.81.032902 .

Nedeljković, Nataša N., Božanić, Dušan K., "Ionization dynamics via ion-collection field of Rydberg atoms approaching metal surfaces" in Physical Review A, 81, no. 3 (2010),
https://doi.org/10.1103/PhysRevA.81.032902 . .

TY  - CONF
AU  - Nedeljković, Nataša N.
AU  - Mirkovic, M. A.
AU  - Božanić, Dušan K.
PY  - 2008
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6819
AB  - We investigate the ionization of large-l multiply charged Rydberg ions approaching solid surfaces within the framework of decay model and applying the etalon equation method. The radial coordinate rho of the active electron is treated as a variational parameter and therefore the parabolic symmetry is preserved in this procedure. The complex eigenenergies are calculated from which the energy terms and the ionization rates are derived. We find that the large-l Rydberg states decay at approximately the same ion-surface distances as the low-l states oriented toward the vacuum and considerably closer to the surface comparing to the low-l states oriented towards the surface.
T1  - Decay Rates of Large-L Rydberg States of Multiply Charged Ions Approaching Solid Surfaces
IS  - 84
SP  - 153
EP  - +
UR  - https://hdl.handle.net/21.15107/rcub_vinar_6819
ER  - 

@conference{
author = "Nedeljković, Nataša N. and Mirkovic, M. A. and Božanić, Dušan K.",
year = "2008",
abstract = "We investigate the ionization of large-l multiply charged Rydberg ions approaching solid surfaces within the framework of decay model and applying the etalon equation method. The radial coordinate rho of the active electron is treated as a variational parameter and therefore the parabolic symmetry is preserved in this procedure. The complex eigenenergies are calculated from which the energy terms and the ionization rates are derived. We find that the large-l Rydberg states decay at approximately the same ion-surface distances as the low-l states oriented toward the vacuum and considerably closer to the surface comparing to the low-l states oriented towards the surface.",
title = "Decay Rates of Large-L Rydberg States of Multiply Charged Ions Approaching Solid Surfaces",
number = "84",
pages = "153-+",
url = "https://hdl.handle.net/21.15107/rcub_vinar_6819"
}

Nedeljković, N. N., Mirkovic, M. A.,& Božanić, D. K.. (2008). Decay Rates of Large-L Rydberg States of Multiply Charged Ions Approaching Solid Surfaces. (84), 153-+.
https://hdl.handle.net/21.15107/rcub_vinar_6819

Nedeljković NN, Mirkovic MA, Božanić DK. Decay Rates of Large-L Rydberg States of Multiply Charged Ions Approaching Solid Surfaces. 2008;(84):153-+.
https://hdl.handle.net/21.15107/rcub_vinar_6819 .

Nedeljković, Nataša N., Mirkovic, M. A., Božanić, Dušan K., "Decay Rates of Large-L Rydberg States of Multiply Charged Ions Approaching Solid Surfaces", no. 84 (2008):153-+,
https://hdl.handle.net/21.15107/rcub_vinar_6819 .

TY  - JOUR
AU  - Nedeljkovic, Lj. D.
AU  - Nedeljković, Nataša N.
AU  - Božanić, Dušan K.
PY  - 2006
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3093
AB  - The ionization distances R-c(I) as well as the ionization rates and eigenenergies of one-electron multiply charged Rydberg ions (core charge Z GT GT 1, principal quantum number n GT GT 1) approaching solid surfaces are calculated. Within the framework of a nonperturbative etalon equation method (EEM), these quantities are obtained simultaneously. The complex energy eigenvalue problem for the decaying eigenstates is solved within the critical region R approximate to R-c approximate to R-c(I) of the ion-surface distances R. This region is characterized by the energy terms localized in the vicinity of the top of an effective potential barrier, created between the ion and polarized solid. We take into account that the parabolic symmetry is preserved for R approximate to R-c and that the parabolic quantum numbers can be taken as approximate but sufficiently good quantum numbers. The parabolic rates, energies, and corresponding ionization distances are presented in relatively simple analytical forms. The ionization distances are compared with the results of a classical overbarrier model. Comparison of the obtained energies and rates with the available theoretical predictions of the coupled angular mode method shows good agreement. The use of the EEM for an estimation of the upper limit of the first neutralization distance in the subsequent neutralization cascade is briefly discussed.
T2  - Physical Review A
T1  - Ionization distances of multiply charged Rydberg ions approaching solid surfaces
VL  - 74
IS  - 3
DO  - 10.1103/PhysRevA.74.032901
ER  - 

@article{
author = "Nedeljkovic, Lj. D. and Nedeljković, Nataša N. and Božanić, Dušan K.",
year = "2006",
abstract = "The ionization distances R-c(I) as well as the ionization rates and eigenenergies of one-electron multiply charged Rydberg ions (core charge Z GT GT 1, principal quantum number n GT GT 1) approaching solid surfaces are calculated. Within the framework of a nonperturbative etalon equation method (EEM), these quantities are obtained simultaneously. The complex energy eigenvalue problem for the decaying eigenstates is solved within the critical region R approximate to R-c approximate to R-c(I) of the ion-surface distances R. This region is characterized by the energy terms localized in the vicinity of the top of an effective potential barrier, created between the ion and polarized solid. We take into account that the parabolic symmetry is preserved for R approximate to R-c and that the parabolic quantum numbers can be taken as approximate but sufficiently good quantum numbers. The parabolic rates, energies, and corresponding ionization distances are presented in relatively simple analytical forms. The ionization distances are compared with the results of a classical overbarrier model. Comparison of the obtained energies and rates with the available theoretical predictions of the coupled angular mode method shows good agreement. The use of the EEM for an estimation of the upper limit of the first neutralization distance in the subsequent neutralization cascade is briefly discussed.",
journal = "Physical Review A",
title = "Ionization distances of multiply charged Rydberg ions approaching solid surfaces",
volume = "74",
number = "3",
doi = "10.1103/PhysRevA.74.032901"
}

Nedeljkovic, Lj. D., Nedeljković, N. N.,& Božanić, D. K.. (2006). Ionization distances of multiply charged Rydberg ions approaching solid surfaces. in Physical Review A, 74(3).
https://doi.org/10.1103/PhysRevA.74.032901

Nedeljkovic LD, Nedeljković NN, Božanić DK. Ionization distances of multiply charged Rydberg ions approaching solid surfaces. in Physical Review A. 2006;74(3).
doi:10.1103/PhysRevA.74.032901 .

Nedeljkovic, Lj. D., Nedeljković, Nataša N., Božanić, Dušan K., "Ionization distances of multiply charged Rydberg ions approaching solid surfaces" in Physical Review A, 74, no. 3 (2006),
https://doi.org/10.1103/PhysRevA.74.032901 . .