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Transition probability transitions

The absorption spectmm, 0(01), is the ratio of transition probability per unit time/incident photon flux. The incident photon flux is the number of photons per unit area per unit time passing a particular location, and is... [Pg.244]

This is the one dimensional version of what is usually called the Bom approximation in scattering theory. The transition probability obtained from equation A3.11.43() is... [Pg.967]

Typically, the ratio of this to the incident flux detennines the transition probability. This infonnation will be averaged over the energy range of the initial wavepacket, unless one wants to project out specific energies from the solution. This projection procedure is accomplished using the following expression for the energy resolved (tune-independent) wavefunction in tenns in tenns of its time-dependent counterpart ... [Pg.981]

Marcus R A 1970 Extension of the WKB method to wave functions and transition probability amplitudes (S-matrix) for inelastic or reactive collisions Chem. Phys. Lett. 7 525-32... [Pg.1004]

The transition probability for absorption of two photons can be described in tenns of a two-photon cross section 5 by... [Pg.1146]

The simplest use of an NMR spectnim, as with many other branches of spectroscopy, is for quantitative analysis. Furthennore, in NMR all nuclei of a given type have the same transition probability, so that their resonances may be readily compared. The area underneath each isolated peak in an NMR spectnim is proportional to the number of nuclei giving rise to that peak alone. It may be measured to 1% accuracy by digital integration of the NMR spectnim, followed by comparison with the area of a peak from an added standard. [Pg.1441]

Figure Bl.13.1. Energy levels and transition probabilities for anIS spin system. (Reproduced by pennission of Academic Press from Kowalewski J 1990 Annu. Rep. NMR Spectrosc. 22 308-414.)... Figure Bl.13.1. Energy levels and transition probabilities for anIS spin system. (Reproduced by pennission of Academic Press from Kowalewski J 1990 Annu. Rep. NMR Spectrosc. 22 308-414.)...
We call the correlation time it is equal to 1/6 Dj, where Dj is the rotational diffusion coefficient. The correlation time increases with increasing molecular size and with increasing solvent viscosity, equation Bl.13.11 and equation B 1.13.12 describe the rotational Brownian motion of a rigid sphere in a continuous and isotropic medium. With the Lorentzian spectral densities of equation B 1.13.12. it is simple to calculate the relevant transition probabilities. In this way, we can use e.g. equation B 1.13.5 to obtain for a carbon-13... [Pg.1504]

There are two basic physical phenomena which govern atomic collisions in the keV range. First, repulsive interatomic interactions, described by the laws of classical mechanics, control the scattering and recoiling trajectories. Second, electronic transition probabilities, described by the laws of quantum mechanics, control the ion-surface charge exchange process. [Pg.1801]

The Landau-Zener transition probability is derived from an approximation to the frill two-state impact-parameter treatment of the collision. The single passage probability for a transition between the diabatic surfaces H, (/ ) and R AR) which cross at is the Landau-Zener transition probability... [Pg.2052]

Chidsey I L and Crosley D R 1980 Calculated rotational transition probabilities for the A-X system of CH J. Quant. Spectrose. Radiat. Transfer 23 187-99... [Pg.2087]

It is only during an evolution (perhaps between sampling points in an FID) that these totals need be divided amongst the various lines in the spectmni. Therefore, one of the factors in the transition probability represents the conversion from preparation to evolution the other factor represents the conversion back from evolution to detection. [Pg.2101]

Bain A D and Duns G J 1996 A unified approach to dynamic NMR based on a physical interpretation of the transition probability Can. J. Chem. 74 819-24... [Pg.2112]

The Boltzmaim weight appears implicitly in the way the states are chosen. The fomi of the above equation is like a time average as calculated in MD. The MC method involves designing a stochastic algorithm for stepping from one state of the system to the next, generating a trajectory. This will take the fomi of a Markov chain, specified by transition probabilities which are independent of the prior history of the system. [Pg.2256]

A consideration of the transition probabilities allows us to prove that microscopic reversibility holds, and that canonical ensemble averages are generated. This approach has greatly extended the range of simulations that can be perfonned. An early example was the preferential sampling of molecules near solutes [77], but more recently, as we shall see, polymer simulations have been greatly accelerated by tiiis method. [Pg.2259]

The transition probabilities obtained due to the above two modified beat-ments of single-surface calculations need to be compared with those riansition probabilities obtained by two surface calculations that confirms the validity of these former heatments. [Pg.46]

The transition probability at a particular total energy (E ) from vibrational level i to / may be expressed as the ratio between the coiresponding outgoing and incoming quantities [71]... [Pg.48]


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A Transition probabilities along the z direction

Absorption transition probability

Atomic spectra transition probabilities

Atomic transition probability

Atoms transition probabilities

B Transition probabilities in the xy plane

Beta decay transition probability

Calculation of the Transition Probability

Chemical reaction rates, collision transition probability

Conditional transition probabilities

Crystal transition probabilities

Differential transition probability

Dipole transition probability

Dipole transitions and transition probabilities

ENDOR transition probability

Einstein transition probabilities for electric dipole transitions

Einstein transition probability

Electric dipole radiation transition probability

Electric quadrupole radiation transition probability

Electronic transitions, forbidden radiation probability

Elements atomic transition probability

Elements transition probabilities

Energy transition probabilities

Evaluation of the Radiationless Transition Probability

Experimental Methods for the Determination of Transition Probabilities

Forbidden transitions transition probabilities

Franck-Condon transition probability

Franck-Condon transition probability dynamics

Franck-Condon transition probability intersection

Frequency Factor in the Transition Probability

Gaussian Transition Probability

General Expressions for the Transition Probability

Generation probability, transition path

Golden Rule transition probability expression

Hamiltonian transition probabilities

High spins transition probability

Homogeneous line broadening transition probabilities

IR and Raman Transition Probabilities

Inelastic transition probabilities

Inelastic transition probabilities transitional energy

Infinitesimal transition probability

Landau-Zener classical transition probability

Laser spectroscopy transition probabilities

Lifetimes and Spontaneous Transition Probabilities

Lineshape transition probability

Lorentzian transition probability

Mean transition time , probability

Mean transition time , probability moments

NIST Atomic Transition Probability Tables

Nitrogen ions transition probabilities

Nonadiabatic transition probability

Normal coordinate transition probability

Nuclear spin-dependent transition probabilities

Numerical examples of branching paths and transition probability

One-photon transition probability

Optical transition probability

Oscillator strength, transition probability, lifetime and line intensity

Oscillator strengths transition probabilities

Periodic crystals transition probability

Physical Models of Elementary Processes, Transition Probabilities, and Kinetic Coefficients

Potential Profile with Alternating Transition Probabilities

Probability distribution transition moment derivation

Probability distribution transition time moments

Probability functionals, transition path

Probability of electronic transition

Probability of transitions. The Beer-Lambert Law. Oscillator strength

Probability, Landau—Zener transition

Probability, models, transition

Probability, of transition

Probability, transition, Fermi golden

Radial transition probability

Radiative transition probability

Reduced transition probability

Reduced transition probability, for

Relations Between Transition Probabilities, Absorption Coefficient, and Line Strength

Rigid-rotator transition probabilities

Rotational transition probabilities

Scanning transition probabilities

Scattering transition probability

Simulation transition probabilities

Spectral lines transition probability

Spin-forbidden radiative transition probabilities

Stochastic simulation transition probability

Surfaces transition probability

Tables transition probability

The Einstein transition probabilities

The one-step transition probability matrix

The transition probability

Theory of transition probabilities

Time-dependent perturbation theory and transition probabilities

Transformations molecules, transition probabilities

Transition Probabilities and Branching Ratios

Transition Probabilities and Line Strengths

Transition Probabilities and Optical Properties

Transition Probabilities and Rates

Transition Probabilities of 4 f-elements and the Judd-Ofelt Theory

Transition Probabilities with Broad-Band Excitation

Transition Probability and Cross Section

Transition Probability and Master Equations

Transition Probability for Fixed Coordinates of the Ions and Reactants

Transition Probability of Two-Photon Transitions

Transition entropy probability

Transition operator probability

Transition probabilities alternating

Transition probabilities and lifetimes

Transition probabilities electric dipole

Transition probabilities electronic

Transition probabilities hydrogen

Transition probabilities magnetic dipole

Transition probabilities magnetic dipole radiation

Transition probabilities nearest-neighbor

Transition probabilities organic molecules

Transition probabilities spontaneous emission

Transition probabilities stimulated emission

Transition probabilities uniform

Transition probabilities vibrational

Transition probabilities, extended sampling

Transition probabilities, usage

Transition probability

Transition probability

Transition probability INDEX

Transition probability canonical form

Transition probability chemical reaction rates

Transition probability completeness

Transition probability density

Transition probability density calculation

Transition probability function

Transition probability matrix

Transition probability matrix between surfaces

Transition probability matrix chains

Transition probability of atoms

Transition probability per unit time

Transition probability rate equations

Transition probability relaxation equations

Transition probability relaxation theory

Transition probability spontaneous

Transition probability strength

Transition probability, Laplace

Transition probability, Laplace transform

Transition probability, dielectric relaxation

Transition probability, ferromagnetic

Transition probability, fluctuation theorem

Transition probability, nonadiabatic quantum

Transition state theory, transmission probabilities

Transition time moments, probability

Transition, complex probability

Transition, complex probability matrix

Two transition probability

Uranium transition probabilities

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