The three-dimensional motion of a particle in the field of a non-neutral atom is considered. The conditions for the existence of periodic orbits are found for a relatively weak doublet-strength. It is shown that these conditions can be satisfied and that an infinite number of periodic orbits...
Full size table Table 6 presents the performance comparison results of the WOAAD with other optimization algorithms for the three-bar truss design problem. In terms of the objective function's minimum value, the WOAAD obtained an optimization result of f(x) = 264.3775, which is significantl...
TheBohr modeladoptedPlanck’s quantum hypothesis, and he proposed a model in which the electrons of an atom were assumed to orbit the nucleus but could only do so in a finite set of orbits. Planck’s quantum hypothesis (Planck’s law) is named after a German theoretical physicist ...
Whitney53proved that continuous mappings from a plane into a plane can result in only two stable types of singularity—folds and cusps, both of which are observed here. Folds appear as curves where the surface in our three-dimensional embedding (x, z, t) has vertical tangents alongt, ...
Repeat the step again, with all the elliptical orbits. You should have an image like the one below. Step 6 Take the Stroke Width Tool (Shift + W) and by clicking and dragging the bottom anchor point of the first elliptical orbit, increase the width of the line. Then set the Stroke Wi...
A hydrogen atom in the n = 5 level is excited and when doing so absorbs a photon of light with a wavelength of 3296.46 nm. In what level is the electron after this event? The answer should be entered as a whole number. Electrons in stable orbits actually have neg...
Between which two orbits of the Bohr hydrogen atom must an electron fall to produce light at a wavelength of 434.2 nm? Calculate the energies of the states of the hydrogen atom with n=2 and n=3. Calculate the kinetic energy (in J) of an electron moving at ...
Higher orbits could have twice that value, or three times, or any other integer multiple of the Planck constant, but never any fraction of it (so not 1.3 or 2.6 and so forth). Planck's constant written out. (Image credit: ragsac via Getty Images) It would take the full developmen...
Full size imageUsing the total probe shown in Fig. 1b with all diffracted beams for STEM imaging would lead to a largely blurred image, as a variety of spatially separated (partial) probes would concurrently scan different positions of the sample. In addition, it would be impossible to detect...
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