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- for C2H2 1- Calculate the separation at which the minimum of the potential energy occur.2- verify that at this minimum the potential energy V = ─ .3- Choose values of r such that all characteristic points and areas are shown clearly on the graph. Let the x-axis be r in pmWhich of these choices is the expectation value of momentum squared p2 for a particle in the state n = 1 in a square well potential. hL/2 h/4L^2 h^2/L^2 h^2/4L^2 0What is the degeneracy of a molecule rotating with J = 4?
- Calculate the expectation values of px and px2 for a particle in the state with n = 2 in a one-dimensional square-well potential.Normalize (to 1) the wavefunction e-ax^2 in the range −∞ ≤ x ≤ ∞, with a > 0. Refer to the Resource section for the necessary integral.can the function x2e-ax^2 be normalized in the range of -inf to inf, and if so what is the normalization factor?
- What is the magnitude the angular momentum of a SF6 molecule when it is rotating with its minimum energy. What is the degeneracy of a molecule rotating with J = 4Normalize (to 1) the wavefunction e–ax in the range 0 ≤ x ≤ ∞, with a > 0.Evaluate the linear momentum and kinetic energy of a free proton described by the wavefunction e−ikx with k = 5 nm−1.
- What configurations must undergo the distortions predicted by the Jahn-Teller theorem? Why is distortion at eg level greater than at t2g?State whether each of the functions (a) to (d) is quadratically integrable.(a and b are positive constants.)(a)(b)(c)1/x.(d)True or false?A function that becomes infinite at a point must not be quadratically integrable.What is the magnitude of the angular momentum of an SF6 molecule when it is rotating with its minimum energy?