Trapping oscillation

Lett et performed a new experiment using the same hybrid trap. This time, however, the experiment measured ion rates and fluorescence separately as the hybrid trap oscillated between trap and molasses cycles. The results from this experiment are shown in Fig. 10.16. While... 

Fig. 8.3 Density of a rubidium atomic gas at the center of a parabolic trap as a function of temperature. The total number of atoms was N = 10 , and the trap oscillation frequency was a>l2it= 16 Hz. (Adapted from CourteiUe et al. 2001.)...

Reaction scheme, defined, 9 Reactions back, 26 branching, 189 chain, 181-182, 187-189 competition, 105. 106 concurrent, 58-64 consecutive, 70, 130 diffusion-controlled, 199-202 elementary, 2, 4, 5, 12, 55 exchange, kinetics of, 55-58, 176 induced, 102 opposing, 49-55 oscillating, 190-192 parallel, 58-64, 129 product-catalyzed, 36-37 reversible, 46-55 termination, 182 trapping, 2, 102, 126 Reactivity, 112 Reactivity pattern, 106 Reactivity-selectivity principle, 238 Relaxation kinetics, 52, 257 -260 Relaxation time, 257 Reorganization energy, 241 Reversible reactions, 46-55 concentration-jump technique for, 52-55... 

To reduce the chance that the network will be trapped by a set of endlessly oscillating connection weights, a momentum term can be added to the update of the weights. This term adds a proportion of the update of the weight in the previous epoch to the weight update in the current epoch ... 

Fig. 17.9 Sketch of a typical setup for ion trap experiments on lasing microdroplets. The oscillating field between the inner and outer ring electrodes forms the trapping potential, and gravitational forces can he opposed by static electrical fields to move the droplet to the trap center with no micromotion...

A static electrical field in free space cannot have potential minima and hence cannot trap a charged particle. By using oscillating fields, a pseudopotential can be formed as illustrated in Fig. 17.8, where amass with a suitable charge to mass ratio can be trapped. 

Image current detection is (currently) the only nondestructive detection method in MS. The two mass analyzers that employ image current detection are the FTICR and the orbi-trap. In the FTICR ions are trapped in a magnetic field and move in a circular motion with a frequency that depends on their m/z. Correspondingly, in the orbitrap ions move in harmonic oscillations in the z-direction with a frequency that is m/z dependent but independent of the energy and spatial spread of the ions. For detection ions are made... 

Figure 1. Diagram of apparatus (M) monomer reservoir (F) flow meter (VG) vacuum gage (mercury manometer) (E) electrode (T) liquid nitrogen trap (P) mechanical pump (V,) needle valve (Vt) stop valve (Vs) pressure control valve (OSC) discharge frequency oscillator (AMP) amplifier (1MC) impedance matching circuit...

Does T differ significantly from unity in typical electron transfer reactions It is difficult to get direct evidence for nuclear tunnelling from rate measurements except at very low temperatures in certain systems. Nuclear tunnelling is a consequence of the quantum nature of oscillators involved in the process. For the corresponding optical transfer, it is easy to see this property when one measures the temperature dependence of the intervalence band profile in a dynamically-trapped mixed-valence system. The second moment of the band,... 

The ion motion in the cell is complex because of the presence of electrostatic and magnetic trapping fields it consists of three different modes of oscillation. However, the primary mode of interest is the cyclotron motion, whose frequency, v., is directly proportional to the strength of the magnetic field B end inversely proportional to the mass-to-charge ratio m z of the ion v. = kzB/m). 

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