Rotatore rigido Flashcards
What is the rigid rotor?
The rigid rotor is a simple system that constitutes the foundation of all rotational spectroscopy.
What is the moment of inertia for a diatomic molecule?
The moment of inertia for a diatomic molecule can be written as I = maa^2 + mbb^2, where a and b are the distances of the two atoms from the center of mass.
What is the relationship between the distances a and b in a diatomic molecule?
he relationship between the distances a and b in a diatomic molecule is a + b = R, where R is the bond distance.
What is the relationship between the three cartesian coordinates in the rigid rotor?
The three cartesian coordinates in the rigid rotor are not independent, as they are related by x^2 + y^2 + z^2 = R^2.
What is the Hamiltonian for the rigid rotor?
he Hamiltonian for the rigid rotor is H = -h^2/2I(sin^2θ∂/∂θsinθ∂/∂θ + 1/sin^2θ∂^2/∂φ^2).
What is the moment of inertia dependence of the rotational energy levels in the rigid rotor?
The rotational energy levels in the rigid rotor are closer together for larger moment of inertia.
What is the effect of the centrifugal distortion on the rotational energy levels in a real molecule?
The centrifugal distortion causes the rotational energy levels to vary in a real molecule.
what’s the rotational costant
The rotational constant for the rigid rotor is B = h/8π^2I.
Describe the eigenvalues for the rigid rotor.
The eigenvalues for the rigid rotor are given by E = hBJ(J + 1), where J is the quantum number.
