A deuterium molecule (D2) at 30K is known to be in the state, 1 [3|1, 1) + 4 |7,3) + |7, 1)] V26 where |1, m) are eigenstates of the angular momentum operator. (a) If one were to measure L2 , what posible values one would get and what would be their associated probabilities? (b) Repeat (a) but for L². (c) What is the expectation value of the energy (E) of the molecule in this state. Express your answer in eV (for purely rotational states, assume c= 30.4 cm-1, where I=moment of inertia of D2, c=speed of light ). 4Ic
A deuterium molecule (D2) at 30K is known to be in the state, 1 [3|1, 1) + 4 |7,3) + |7, 1)] V26 where |1, m) are eigenstates of the angular momentum operator. (a) If one were to measure L2 , what posible values one would get and what would be their associated probabilities? (b) Repeat (a) but for L². (c) What is the expectation value of the energy (E) of the molecule in this state. Express your answer in eV (for purely rotational states, assume c= 30.4 cm-1, where I=moment of inertia of D2, c=speed of light ). 4Ic
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![A deuterium molecule (D2) at 30K is known to be in the state,
1
[3|1, 1) + 4 |7,3) + |7, 1)]
V26
where |1, m) are eigenstates of the angular momentum operator.
(a) If one were to measure Lz , what posible values one would get and what would be their associated probabilities?
(b) Repeat (a) but for L².
(c) What is the expectation value of the energy (E) of the molecule in this state. Express your answer in eV (for
purely rotational states, assume = 30.4 cm
-1
where I=moment of inertia of D2, c=speed of light ).
4nIc](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb460c0c-d029-4e90-a450-1d82490780a1%2F9e6b206d-a191-4caa-8811-551f2d3bf347%2Ftsucq6g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A deuterium molecule (D2) at 30K is known to be in the state,
1
[3|1, 1) + 4 |7,3) + |7, 1)]
V26
where |1, m) are eigenstates of the angular momentum operator.
(a) If one were to measure Lz , what posible values one would get and what would be their associated probabilities?
(b) Repeat (a) but for L².
(c) What is the expectation value of the energy (E) of the molecule in this state. Express your answer in eV (for
purely rotational states, assume = 30.4 cm
-1
where I=moment of inertia of D2, c=speed of light ).
4nIc
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