(a) The diagram below is a graph of potential energy vs. interatomic separation
ID: 2093074 • Letter: #
Question
(a) The diagram below is a graph of potential energy vs. interatomic separation for a particular diatomic molecule (that is, a molecule consisting of two atoms).
For the energy level shown on the graph, imagine drawing a line whose length represents the kinetic energy when the interatomic separation is r0. This line runs from where to where?
(b) The graph below shows all of the quantized energies (bound states) for one of these molecules. For this molecule, E0 = -2.5 eV, E1 = -1.25 eV, E2 = -0.67 eV, and E3 = -0.27 eV. What is the minimum amount of energy required to break a molecule apart, if it is initially in the ground state? (Note that the final state must be an unbound state; the unbound states are not quantized.)
eV
(c) If the temperature is high enough, in a collection of these molecules there will be at all times some molecules in each of these states, and light will be emitted. What photon energies could be detected in the emitted light? List the energies in ascending order, from smallest to largest.
__eV,__ eV,__ eV, __eV, __eV, __eV
Explanation / Answer
a)
from 4 to 5
b)
2.5 eV
c)
E0 = -2.5 eV, E1 = -1.25 eV, E2 = -0.67 eV, and E3 = -0.27 eV.
3-->2 ===> 0.67 - 0.27 = 0.4 eV
2-->1 ===> 1.25 - 0.67 = 0.58 eV
3-->1 ===> 1.25 - 0.27 = 0.98 eV
1-->0 ===> 2.5 - 1.25 = 1.25 eV
2-->0 ===> 2.5 - 0.67 = 1.83 eV
3-->0 ===> 2.5 - 0.27 = 2.23 eV
0.4 eV, 0.58 eV, 0.98 eV, 1.25 eV, 1.83 eV, 2.23 eV
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