d. For molecular nitrogen, the bond length is 1.1 x 10-1ºm, the bond (binding) energy is 9.79 eV (15.66 x 10-19 J), the mass is 14 amu = 23.38 x 10-27 kg. In the spectroscopy laboratory, this vibration is measured to be 8.8 x 1013 Hz. Is this a good model for the interatomic potential? (Recall a = 2n times frequency in Hz)
d. For molecular nitrogen, the bond length is 1.1 x 10-1ºm, the bond (binding) energy is 9.79 eV (15.66 x 10-19 J), the mass is 14 amu = 23.38 x 10-27 kg. In the spectroscopy laboratory, this vibration is measured to be 8.8 x 1013 Hz. Is this a good model for the interatomic potential? (Recall a = 2n times frequency in Hz)
Related questions
Question
only part d
![1. A model for the potential energy interaction between the two nitrogen atoms in the
N2 molecule is proposed that has the form:
v(4) = 4E, (4)* - ()']
12
a. Find the position of the potential minimum and its value there, in terms of o and Eo,
respectively. What do these parameters represent physically about the molecule?
b. Draw a hand sketch of V(r) showing rmin, V(rmin) and where V crosses the r axis.
c. If the atom is disturbed from its equilibrium by a small amount, show that the
7.56.
frequency of oscillation is w =
d. For molecular nitrogen, the bond length is 1.1 x 10-1°m, the bond (binding) energy is
9.79 eV (15.66 x 10-19 J), the mass is 14 amu = 23.38 x 10-27 kg. In the spectroscopy
laboratory, this vibration is measured to be 8.8 x 1013 Hz. Is this a good model for
the interatomic potential? (Recall o = 2n times frequency in Hz)
where m is the mass of a nitrogen atom.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3fe69db-7bbf-4899-92d9-29ce14fe3e83%2F0a38dfa7-3dd0-4e2c-9a13-649e8c742feb%2F91zz9vl_processed.png&w=3840&q=75)
Transcribed Image Text:1. A model for the potential energy interaction between the two nitrogen atoms in the
N2 molecule is proposed that has the form:
v(4) = 4E, (4)* - ()']
12
a. Find the position of the potential minimum and its value there, in terms of o and Eo,
respectively. What do these parameters represent physically about the molecule?
b. Draw a hand sketch of V(r) showing rmin, V(rmin) and where V crosses the r axis.
c. If the atom is disturbed from its equilibrium by a small amount, show that the
7.56.
frequency of oscillation is w =
d. For molecular nitrogen, the bond length is 1.1 x 10-1°m, the bond (binding) energy is
9.79 eV (15.66 x 10-19 J), the mass is 14 amu = 23.38 x 10-27 kg. In the spectroscopy
laboratory, this vibration is measured to be 8.8 x 1013 Hz. Is this a good model for
the interatomic potential? (Recall o = 2n times frequency in Hz)
where m is the mass of a nitrogen atom.
Expert Solution

Step 1
Given:
Bond length, ro = 1.1 x 10-10 m
Bond energy, Eo = 9.79 eV = 15.66 x 10-19 J
Mass, m = 14 amu = 23.38 x 10-27 kg
Frequency, = 8.8 x 1013 Hz
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