2 edition of **Some classical and quantal calculations on impact ionization.** found in the catalog.

Some classical and quantal calculations on impact ionization.

Sheo Shanker Prasad

- 198 Want to read
- 28 Currently reading

Published
**1964** .

Written in English

**Edition Notes**

Thesis (Ph. D.)--The Queen"s University of Belfast, 1964.

The Physical Object | |
---|---|

Pagination | 1 v |

ID Numbers | |

Open Library | OL19799593M |

Recoil ion momentum distributions have been measured for helium (He 1 +, He 2 +) [40], neon (Ne 1 +, Ne 2 +, Ne 3 +) [41] and argon (Ar 1 +, Ar 2 +) [45, 46]. Figure 6 summarizes some of the results for neon. The momentum distribution of the singly charged ion is strongly peaked at the origin as in the case of helium (Fig. 4), reflecting the fact that tunnel ionization is most likely at the. Excitation-autoionization (EA) and direct ionization (DI) Maxwellian rate coefficients (MRC) are presented for the levels of the ground configuration of the W 26+ ion. The study of EA and DI cross sections is performed by applying the Dirac–Fock–Slater method within the level-to-level distorted-wave approximation including radiative damping. The electron impact ionization of helium droplets doped with ethylene molecules and clusters yields diverse C X H Y + cations embedded in the droplets. The ionization primarily produces C 2 H 2 +, C 2 H 3 +, C 2 H 4 +, and CH 2 +, whereas larger carbocations are produced upon the reactions of the primary ions with ethylene vibrational excitation of the cations leads to the. We investigate ionization of atomic hydrogen by electron- and positron-impact. We apply the Coulomb–Born (CB1) approximation, various modified CB1 approximations, the three body distorted wave (3DW) approximation, and the time-dependent close-coupling (TDCC) method to electron-impact ionization of hydrogen. For electron-impact ionization of hydrogen for an incident energy of .

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Download or read book entitled Comparison of Quantum Mechanical and Classical Trajectory Calculations of Cross Sections for Ion-atom Impact Ionization of Negative - and Positive -Ions for Heavy Ion Fusion Applications written by Igor D. Kaganovich and published by Unknown online. This book was released on 12 September with total page 15 pages.

Quasiclassical trajectory and quantal calculations are carried out for the Penning ionization system N 2 He(2 3 S)N 2 (2 Σ g, 2 Π u, 2 Σ u)Hee based on an ab initio resonance potential and energy widths which were obtained in previous work.

Total and partial ionization cross sections are evaluated for the collision energy range of eV. For the trajectory calculation Cited by: Abstract.

Quasiclassical trajectory and quantal calculations are carried out for the Penning ionization system N 2 He(2 3 S)N 2 (2 Σ g, 2 Π u, 2 Σ u)Hee-based on an ab initio resonance potential and energy widths which were obtained in previous work.

Total and partial ionization cross sections are evaluated for the collision energy range of by: To test the validity of classical trajectory and perturbative quantal methods for electron-impact ionization of H-like ions from excited states, we have performed advanced close-coupling calculations of ionization from excited states in H, Li2 and B4 using the R-matrix with pseudo states and the time-dependent close-coupling methods.

Both classical and quantum dynamics are treated in numerical computation. We find qualitative agreement on the ionization probability as a function of relative frequency and the strength of the field.

The correlation of ionization probability with quantum delocalization is also by: 8. calculate the ionization rate of molecules at any internuclear separations.

For the rescattering process, the impact ionization cross sections of the molecular ions by the returning electron are also needed. The time evolution of the elec-tron wave packet and the vibrational wave packet of the molecular ion has to be followed as well in the.

Quantum mechanical calculation of the ionization potentials of molecules I. Lyast 1 Journal of Structural Chemistry volume 6, pages () Cite this article. Abstract. We have developed a quantum-semiclassical approach for calculation of transition probabilities in few-dimensional quantum systems.

In this approach the problem is reduced to the Schrödinger-like equation for some degrees of freedom which integrated symphoniously with the classical equations describing the remaining part.

Quantum-Mechanical Calculation of Ionization-Potential Lowering in Dense Plasmas Sang-Kil Son ( ), 1,2, Robert Thiele, 1,2, Zoltan Jurek, 1,2. els have been developed over decades to calculate the variation of proton impact ionization along particle pene-tration.

These models can be generally grouped into three categories: range calculation (in the continuous slowing-down approximation) [e.Jackman et al.; Rees, ], linear transport theoretical treatment [e.Jasperse.

Classical and Quantum Mechanics - in a Nutshell. Classical Mechanics. Building on the work of Galileo and others, Newton unveiled his laws of motion in According to Newton: I. A body remains at rest or in uniform motion (constant velocity - both speed and direction) unless acted on.

Comparisons to previously published classical and quantum mechanical calculations are also reported. Champion C a Electron impact ionization of liquid and gaseous water: Limbachiya C and Mason N Theoretical calculations of the total and ionization cross sections for electron impact on some simple biomolecules Phys.

Res. A A quantum-classical approach is developed to describe the strong-field molecular dynamics of H2, taking into account all degrees of freedom and simultaneously dissociation as well as ionization.

Journal Article: Classical trajectory Monte Carlo model calculations for ionization of atomic hydrogen by keV proton impact. ABSTRACT. Inthelasttwentyyears,signicantprogresshasbeenmadeforthetheoreticaltreat-mentofelectronimpactionization(e,2e)ofatomsandmoleculesand,forsomecases,very.

A classical model of the ionization of a negative ion by electron impact is considered. The interaction between the weakly-bound electron of the negative ion and the neutral core of the ion is simulated by a short-range potential.

An analytic solution is obtained for incident-electron velocities. On the basis of the results of recent calculations of K-shell ionization cross sections (removal of a 1s electron) for 11 atoms [Deutsch et al.Int. Mass Spectrom. () 47] using the. Quantal calculation of the double ionization cross sections of atomsions by electron impact have not been reported so far.

Belenger et al. () have reported a semi empirical formula for evaluation of double ionization cross section of neutral atoms, and positive and negative ions by electron impact and presented results for Cu-target.

article{osti_, title {Theory of ionization of atoms by electron impact}, author {Peterkop, R K}, abstractNote {The main concepts involved in the formulation of the problem of atomic ionization by an electron are set forth first. The bulk of the book is devoted to particular problems in the theory of ionization.

The asymptotic form of the wave function for a system of three or. Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime.

The journal is now the acknowledged world leader in classical relativity and all areas of quantum. The calculation is shown again as: Step 3) The variables are now known for the Transverse Energy Equation (using wave constant form): Equation: Transverse Energy equation.

Variables: r 0 a 0 () E m (from above) r infinity (leaves the atom in ionization) δ B2p (from above) After converting from joules to megajoules. Cross section of direct electron-impact ionization of ions Table 1.

Coefcients Cl and δl required for practical use of formula (3). lCl (cm2)δl s ×1016 p ×1016 d ×1016 to be removed. For l 0,1,2 the coefcients are given in table ionization from states having l2, published cross section data are much less abundant. Abstract The electron induced processes on tungsten (W) and related materials are of prime importance for the fusion plasma application purposes.

W and tungsten based materials have been recommended as the plasma facing components such as walls and divertors in the current fusion devices. We report electron impact total ionization cross sections (TICS) for the W atoms.

We also. Classical-trajectory Monte Carlo calculations of the electronic stopping cross section for keV protons and antiprotons impinging on hydrogen atoms Full Record Other Related Research.

Explorations of the classical phase space for ion collisions with circular Rydberg atoms are presented. Intermediate-energy capture and ionization processes are studied through the numerical integration of Newton's equations of motion and through the graphical depiction of the outcomes of. By correcting some primary parameters in the semi-classical Deutsch-Märk (DM) formula, this paper calculates the absolute single electron-impact ionization cross sections of atoms N, Cu, As, Se.

Experiments in Quantum Chaos: Microwave Ionization of Hydrogen Atoms View the table of contents for this issue, or go to the journal homepage for more Phys. Scr. Electromagnetic radiation of wavelength nm is just sufficient to ionize the sodium atom.

Calculate the ionization energy of sodium in kJ mol 1. Answer: Ionization Energy. E h v h v λ × 10 34 × 3 × 10 8 × 10 9 × 10 17 × 10 15 J a t o m. Badescu, in Comprehensive Renewable Energy, Discussion. Multiple impact ionization increases, of course, solar cell efficiency.

Its counterpart is the Auger recombination process, which has also been discussed in this section, eqn [], using appropriate multiples of the normal photon chemical these two rates are equal in equilibrium, they are both liable to. The classical trajectory Monte Carlo (CTMC) method is largely employed in collision physics from low to high projectile energies to determine excitation, charge exchange, and ionization cross sections [].

The CTMC method has been successful in dealing with the ionization processes in ionatom collisions [5,6,7,8,9,10,11,12,13]. One of its main advantages is that all interactions among.

The outer-ionization of an electron from a cluster is an unambiguous quantity, while the inner-ionization threshold is not, resulting in different microscopic quantum-classical hybrid models used i. 1. Classical collision theory. Interest in the classical treatment of collision phenomena was twice aroused by the study of stopping power, firstly before wave mechanics was developed and secondly in by Gryzinski.

The original interest waned because quantum theory (and only it) could in principal provide exact results. The impact ionization is the root cause of the kink effect as shown in Fig in which the kink effect appears only if the impact ionization was taken into account in the simulation.

However, as shown in Fig the impact ionization alone does not cause the kink effect. As the surface trap density increases, the saturation current at. Some of the best minds of 19th-century science failed to explain why this might be.

Not until the second decade of the 20th century did an answer based on quantum mechanics begin to emerge. Again a macroscopic or classical body of gas was involved in the studies, but the effect, as we shall see, is due to individual atoms and molecules.

Electron impact ionization is a fundamental process that is used to initiate chemical processes in a variety of environments such as the spark plugs of the internal combustion engine or as an initial step in plasma processing.

Classical trajectory Monte Carlo (CTMC) simulation method and the four-body formalism of boundary corrected continuum intermediate state (BCCIS-4B) approximations have been employed to determine total single electron capture cross section and total single ionization cross section in collisions of HHe 2 and Li 3 with helium atom and energy in range of 30 keVamu.

There are reasons to consider quantum calculations to be necessary for ion channels, for two types of reasons. The calculations must account for charge transfer, and the possible switching of hydrogen bonds, which are very difficult with classical force fields.

Without understanding charge transfer and hydrogen bonding in detail, the channel cannot be understood. Ionization or ionisation is the process by which an atom or a molecule acquires a negative or positive charge by gaining or losing electrons, often in conjunction with other chemical resulting electrically charged atom or molecule is called an tion can result from the loss of an electron after collisions with subatomic particles, collisions with other atoms, molecules and.

It is noted that some calculations have been performed with hyperbolic projectile paths. In this case only the first three terms in equation are considered.

However, most of the previous calculations have been performed for straight line paths, as given by the first two terms in calculations are equivalent to quantum-mechanical solutions of the three-body Schrödinger.

Impact Ionization or Ionization Breakdown Gain and Coefficient Calculator. Impact Ionization or Ionization Breakdown Gain and Coefficient Calculator. Semiconductor Type: Silicon (E-field Range: 0 - Vcm) Indium Phosphide (E-field Range: - Vcm) Gallium Arsenide. impact-ionization and noise c haracteristics of thin InP, In 0: 52 Al 48 As, GaAs, and Al 0: 2 Ga 8 As APDs, with m ultiplication regions of di eren t widths.

W e outline a general tec hnique that facilitates the calculation of ionization co e cien ts for carriers that ha v e tra eled a distance exceeding the dead space (enabled carriers.Such is the case of the stationary states of a harmonic oscillator.

1 votes 0 thanks. Oscar Chavoya-Aceves. Going back to the original question, quantum mechanics is, in a way subordinated to classical mechanics, because it refers to measurement and all measurements involve classical objects. 2 votes 2. A four-body classical model based on the resolution of Hamilton equations of motion was used here to determine and analyze ionization doubly-differential cross sections following MeV/amu Au53+ + He collisions.

Our calculation was not able to reproduce the binary peaks experimentally observed in the transverse momentum distributions for electron emission energies larger than 10 eV.