Bohr Radius


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Bohr radius

[′bȯr ‚rād·ē·əs]
(atomic physics)
The radius of the ground-state orbit of the hydrogen atom in the Bohr theory.

Bohr Radius

 

the radius of the first (closest to the nucleus) orbit of an electron in a hydrogen atom, according to the atomic theory of N. Bohr; it is represented by the symbol a0 or a. The Bohr radius equals (5.29117715 ± 0.0000081) x 10-9 cm ≈ 0.529 angstroms; it is expressed by the universal constants: a0 = h2/me2, where h is Planck’s constant divided by and m and e are the mass and electric charge of the electron. In quantum mechanics, the Bohr radius is defined as the distance from the nucleus at which the electron is observed with the greatest probability in an unexcited hydrogen atom. [3–1673–4; updated]

References in periodicals archive ?
0] is the Bohr radius and v the electron pulsation (E = h v).
When the size of semiconductor nanocrystals is smaller than the Bohr radius of the excited electron-hole pair, quantum confinement effect occurs and the band gap energy starts to increase with the decrease of particle size.
Since the uniform circular motion of an electron is in opposition to Heisenberg's Uncertainty Principle (actually [DELTA]r = 0 and [DELTA]mv = 0), my correction to special relativity allows me to consider that when the electron tends to stop, it oscillates around the origin of the x-axis with an amplitude equal to the Bohr radius and it moves (on average) with twice the minimum speed.
Using the above given parameters of GaAs (x = 0) one can obtain the effective Bohr radius and the effective Rydberg energy as [?
Introducing now at a separation distance s (which must correlate with the effective Bohr radius a* of the donor and acceptor) a second Delta-doping sheet of the same kind as the first one is, a new situation for the donor-acceptor pairing is created: While close pairs within each of the doped sheets would not detect any difference, distant pairs will.
0], the Bohr radius, gives the scale of the interaction and [gamma] is the relativistic correction factor.
Now on angular momentum, consider simply the Bohr radius for the simplest but most general case:
However, if we consider the ratio in (11) and take one of the axes of the Bohr radius instead of [l.
In the double surface model Bohr radius expressed in the units of Compton wavelengths of the electron is deduced from the average path on the elliptic and hyperbolic side of the orbit:
For a single charge atom like hydrogen and lowest spin level corresponding to n = 1, we get the Bohr radius r = [r.
Interestingly, the gravitational Bohr radius derived from this gravitational Schrodinger equation yields prediction of new type of astronomical observation in recent years, i.
3 A new type of redshift from gravitational Bohr radius.