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Atoms and Ions

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Select the atom or ion in each pair that has the larger radius.
a) Cs or Rb
b) Br or As

What is the maximum number of electrons that can be identified with each of the following sets of quantum numbers? In some cases, the answer may be "none." In such cases, explain why "none" is the correct answer.

a) n=3
b) n=3 and l=2
c) n=5, l=0, m=+1

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Solution Preview

Select the atom or ion in each pair that has the larger radius.

a) Cs has the higher atomic radius because of the higher atomic number and more electrons.

b) Br has the higher atomic radius because of the higher atomic ...

Solution Summary

The atom or ion with the larger radius will be the one with the higher atomic number and more electrons. What is the maximum number of electrons that can be identified relate to the number of electrons that can be filled in the available subshells.

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See Also This Related BrainMass Solution

1-D Quantum Mechanics with Atomic Ions

In most metals, the atomic ions form a regular arrangement called a crystal lattice. The conduction electrons in the sea of electrons move through this lattice. The figure below is a one-dimensional model of a crystal lattice. The ions have mass m, charge e, and an equilibrium separation b.

a) Suppose the middle charge is displaced a very small distance (x << b) from its
equilibrium position while the outer charges remain fixed. Show that the net electric force
on the middle charge is give approximately by:

F = (-e^2 / b^3 pi e_0) x see attachment for better formula representation

In other words, the charge experiences a linear restoring force.

b) Suppose this crystal consists of aluminum ions with an equilibrium spacing of 0.30
nm. What are the energies of the four lowest vibrational states of these ions?

c) What wavelength photons are emitted during quantum jumps between adjacent energy
levels? Is this wavelength in the infrared, visible, or ultraviolet portion of the spectrum?

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