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Then, utilizing bohrs quantization of angular momentum and the fact that the linear velocity of the electrons is perpendicular to the radius, I get: mvr nh/2pi. ![]() I set the electric force (k q1 q2 / r 2) equal to the centripedal force: m v 2 / r. Our spatial wavefunction ( 1210) is obviously symmetric with respect to exchange of This method correctly computed the radius of the Hydrogen atom to be 53 picometers. Conversion factors are: 1 pm 1 × 10 12 metre (meter) 100 pm 1 Ångstrom. All values of radii are given in picometres (pm). Follow the appropriate hyperlinks for literature references and definitions of each type of radius. Notably, helium also presents a nuclear puzzle, with precision measurement of isotope shifts of the 2 3 S 1 2 3 P (0,1,2) and 2 3 S 1 2 1 S 0 transitions disagreeing by two standard deviations in the derived nuclear charge radius. There are several other ways ways to define radius for atoms and ions. Now, the overall wavefunction is the product of the spatial wavefunctionĪnd the spinor representing the spin-state. Helium is an ideal testing ground for QED because its simple two-electron structure makes high-precision predictions tractable and testable. Note, finally, that since the two electrons in a helium atom are indistinguishable fermions, the overall wavefunction must be anti-symmetric with respect to exchange of particles (see Sect. Helium Critical Temp: -267.96C -450.328F 5.19 K Atomic Radius: 0.49 ( Angstrom 10-10 m) Covalent Radius: 0.93 Electronegativity. More complicated trial wavefunction with more adjustable parameters. As you go down a group, the atomic radius increases because you are adding energy levels that are farther away from the nucleus. 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There is moderate ringwear, but the artwork is still attractive. ![]() Seams may be starting to split or may have been unobtrusively repaired with clear tape. Corners may have small creases or fraying.Ĭovers are worn and used. There may be slight discoloration or staining, minor seam wear, but no splits or tears. There may be just the start of ring wear, where the disc has created a raised area on the cover that resulted in the ink wearing off the paper. Artwork is clean and unworn and there is no ink wear.Ĭover is clean but may have minor writing or marks and may show slight wear. Minor disc impression or slight corner creases, no wrinkles, puckers, seam splits or writing on the cover. Artwork is as close to perfection as possible. Very minor signs of wear or cover impressions. Cover should appear as if a record has never been inside. These discs are basically trash unless a collector desires one to fill a space in a collection until a better one comes along.Īlbum is still in the factory-applied shrink-wrapping.Ībsolutely perfect no corner dings, marks, tears, dents, impressions from the disc, or other flaws. Attempting to listen to these discs will be painful. There will be major noise, surface damage, deep scratches, and skips. Unless the record is particularly rare, I would not try to sell a record in this condition. Labels may be significantly defaced or damaged. The record will still play through without any skips. Well-played, dull, grayish vinyl with deeper scratches and wear causing distracting surface noise (hisses, pops, cracks and other nasties). There may be wear or deformation of the spindle hole. Labels may have small tears, tape marks, larger writing, etc. Vinyl may appear somewhat dull and grayish. Vinyl will have noticeable scratches or scuffs that cause minor surface noise, but do not overpower the music. Vinyl will still have good luster labels may have minor imperfections (small labels or initials, etc.) but otherwise clean. Some visible surface wear, very minor scratches and scuffs, but minimal impact on the sound quality. Vinyl is bright and shiny label is clean and unmarked. ![]() ![]() There can possibly be a hairline scratch or two but nothing that is obvious or affects play. The label is bright, clean and unmarked.ĭisc plays near perfectly, but may have minor paper scuffs that do not interfere with the sound quality. The disc should play with no audible noise. A very minor, barely visible scuff or two may be permitted, but no scratches. The vinyl is virtually flawless, bright and shiny. This is highest grade that I will assign to opened, handled records. 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