A deuterium molecule (D₂) at 30°K is known to be in the state, 124): 263|1, 1) + 4 (7,3) + 17,1)] where , 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, assuming purely rotational states. Take 4c = 30.4 cm−¹, where I=moment of inertia of D₂ and c=speed of light. Express your answer in eV.
A deuterium molecule (D₂) at 30°K is known to be in the state, 124): 263|1, 1) + 4 (7,3) + 17,1)] where , 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, assuming purely rotational states. Take 4c = 30.4 cm−¹, where I=moment of inertia of D₂ and c=speed of light. Express your answer in eV.
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Transcribed Image Text:A deuterium molecule (D2₂) at 30°K is known to be in the state,
1
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12/₂) =
=
|3|1, 1) + 4 |7, 3) + |7, 1)
where , 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, assuming purely rotational
states. Take c= 30.4 cm-¹, where I=moment of inertia of D₂ and c=speed of light. Express your
answer in eV.
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