Question

Compute the mean radius and most probable radius for a 2s electron
in a hydrogenic atom of atomic number Z.

Answer #1

The ”most-probable” distance from the nucleus to observe the
electron in a 1H hydrogen atom in its ground state is the Bohr
radius, a0= 5.29×10^−11m. What is the probability of
observing the electron in a ground state hydrogen atom somewhere
within any greater distance r from the nucleus a0 ≤ r
<∞?

compute the atomic weight of an atom whose theoretical density
is 133g/mol .the atomic radius of an atom is 0.1445 nano meters.the
unit cell of the atom has FCC crystal structure

Using the radial probability density, calculate (a) the average
distance between the nucleus and the 2s electron of the hydrogen
atom and (b) the average distance between the nucleus and the 2p
electron of the hydrogen atom. (c) Compare these results with the
radius value(s) predicted by Bohr’s atomic model for these
electrons. Note: Clearly show all your math steps leading to the
final answer

Compute the radius r of an impurity atom that will just fit into
the body-center hole of a
simple cubic (SC) lattice in terms of the atomic radius R of the
host atom (without
introducing lattice strains).
(b) Perform the same derivation for an FCC tetrahedral interstitial
hole.

Electron configuration
The magnetic behavior of an atom or ion depends on
its electron configuration.
Part A
Select the correct electron configurations from the list
below. You can refer to the periodic table for atomic
numbers.
Check all that apply.
A) The electron configuration of Rb is [Kr]5s^04d^1.
B) The electron configuration of C is [He]2s^22p^2.
C) The electron configuration of S2− is [Ne]3s^23p^6.
D) The electron configuration of Fe is [Ar]4s^23d^6.
E) The electron configuration of Au+ is [Xe]4f^145d^96s^1.

List all the quantum numbers for each electron in a oxygen (O,
atomic number 8) atom.

#3
Calculate the probability that the electron in the ground state of
the hydrogen atom will be at a
radius greater than the Bohr’s radius (i.e. compute the probability
P(r > a0) for n = 1 and
ℓ = 0)

The electron in a hydrogen atom can be thought of as orbiting
around the nucleus (a single proton) in a circular orbit of radius
5.28×10−11m with a velocity of constant magnitude
2.190×106m/s . At t= 0s a hydrogen
atom is placed in a vacuum chamber that is filled with a uniform
magnetic field of magnitude 3.3×1011T pointing in the
positive z -direction. The hydrogen atom is oriented such
that its electron is orbiting counter-clockwise in the
xy -plane at t= 0s .
What is the...

A Hydrogen atom has one proton in the nucleus and one electron
in the shell. In a classic model of the atom, in a certain state,
this electron is in a circular orbit around the nucleus with an
velocity of 1090729.85781991 m/s.
What is the radius of the orbit?
What is the angular momentum, L, of the electron at this
radius?
What is the quantum value, n, of the electron at this
radius?
What is the total energy of the...

A Hydrogen atom has one proton in the nucleus and one electron
in the shell. In a classic model of the atom, in a certain state,
this electron is in a circular orbit around the nucleus with an
angular momentum of 9.495e-34 Js.
What is the radius of the orbit?
4.30×10-9m
What is the speed of the electron at this radius?
What is the kinetic energy of the electron at this
radius?
What is the kinetic energy in electron-volts?

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