1. (3 pts) What is the degeneracy of J=0 and J=1 for a linear, symmetric, and spherical rotor? For each rotor, give the complete set of quantum numbers for each state. (Each state should have a unique set of quantum numbers.)
to find the degeneracy of excited state of nitrogen atom
Calculate : i) degeneracy of the ground state of a particle in a linear (1-dimensional) box ii) Degeneracy of the ground state of a particle in a cubic (3-dimensional) box The answer is both same number of degeneracy. WHY? please showing calculation and explain
Figure 8.3 gives the energy and degeneracy of the
first 5 levels for a particle in a cubic box. Find the energy and
degeneracy of the next 3 levels (that is the 6th, 7th and
8th).
m? Degeneracy 4E.. 12 None 3 SE 93 2E0 6 Eo. None Figure 8.3 An energy-level di- agram for a particle confined to a cubic box. The ground-state energy is Ep = 37'h/2m/?. and ?? ni + n + n. Note that most of...
A state has an energy ϵ=76.5×10−21 Jϵ=76.5×10−21 J and a degeneracy of 15. What is the free energy of the state at 25 ∘C?25 ∘C? free energy:free energy: kJ/molkJ/mol What is the free energy of the state at 150 ∘C?150 ∘C? free energy:free energy: kJ/mol
2) (5 points) A hydrogen atom at rest is in a state of quantum number n=6. The electron jumps to a lower state, emitting a photon of energy 1.13 eV. (a) What is the quantum number of the state to which the electron jumped? (b) What is the ratio of the angular momentum of the electron after the emission of the photon? (c) Estimate the recoil speed of the hydrogen atom due to emission of the photon.
what is the degeneracy (W) for C6H5Br?
What is the required energy for photon absorption by quantum state 2 of a silicon quantum dot of size 2.1 nm The band gap of Si is 1.12eV The electron effective mass correction factor is 0.46 The hole effective mass correction factor is 0.56 Give your answer in eV to 3 decimal place.
What is the quantum numbers of the 14th electron in the ground-state electron configuration of an phosphorus (P) atom? Enter "one half" as 1/2 Principal quantum number angular momentum quantum number magnetic quantum number electron spin quantum number +1 0 -1 P
3 Problem Three [10 points] (The Quantum Oscillator) We have seen in class that the Hamiltonian of a particle of a simple Harmonic oscillator potential in one dimension can be expressed in term of the creation and annihilation operators àt and à, respectively, as: or with In >, n = 0,1,..) are the nth eigenstates of the above Hamiltonian. Part A A.1. Show that the energy levels of a simple harmonic oscillator are E,' Aw (nti), n=0, 12, A.2. Calculate...