5. Using both the rule 1 and rule 2 (bookwork) methods, determine the possible term of symbols of an excited Ba atom: [Xe] 6s' 4f. Assume that Russell-Saunders coupling applies.
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- What are the degeneracies of the H atom wavefunctions when spin is accounted for? Give a general formula.W.P. Wijesundera et al. (Phys. Rev. A 51, 278 (1995)) attempted to determine the electron configuration of the ground state of lawrencium, element 103. The two contending configurations are [Rn]5f147s27p1 and [Rn]5f146d7s2. Write down the term symbols for each of these configurations, and identify the lowest level within each configuration. Which level would be lowest according to a simple estimate of spin–orbit coupling?1. Give the ground-state electron configuration for V2+ and write its Russell-Saunders term symbol. Also, what is the degeneracy?
- For the configuration of Magnesium at the excited state [Ne]3s¹3p¹, what term symbols are possible. Arrange the following term symbol in increasing energy.Construct a slater determinant for the ground state He atom and show that is gives you, Ψ=1s α(2)1s β(1) - 1s α(1)1s β(2) where "1s" represents the "Ψooo" Hydrogenic 1s spatial wavefunction and α(1), β(1) represents spin up and spin down for electron 1, respectively. (Note that there is a normalization factor missing in the text. You can ignore this normalization factor also)The 3s 3p4p configuration of an excited electronic state of the Si atom leads to a term with orbital angular momentum L = 1 and which is split by spin-orbit coupling into the levels shown below. Deduce possible term symbols for the three levels and indicate the dipole allowed transitions which would arise in absorption from these levels when the 4p electron is excited into a 5s orbital. 7. ii 160 cm1
- (i) Explain how the mass of the particle(s) involved affects the separation between energy levels in quantum mechanics. (ii) Explain why the sensitivity of an NMR experiment is affected by the strength of the applied magnetic field. (iii) Explain why, to a good approximation, rotational and vibrational transitions do not change the energies of electrons.What term symbol represents the lowest energy state for this He configuration? 1. Consider the excited states of He with the configuration 2p' 3p', where the two electrons have different principal quantum numbers. The electrons are coupled by a Russell-Saunders spin-orbit coupling term in the Hamiltonian, §' L · S , where §' is a positive constant. 1.1 What are the possible term symbols for the energy eigenstate states associated with this He configuration? Show your work.Since we use wavefunctions to describe the motion of the electron around the nucleus, the reference point is the origin (0,0,0) in Cartesian or spherical coordinates. Describe the following wave functions as symmetric (even), antisymmetric (odd), or neither (unsymmetric or asymmetric) with reference to the orgin: A sketch will assist you in your determination of the symmetry a. (a) Y (0) = cos (0) Type equation here. b. (b) Y (0) = cos (0 )sin(0); c. (c) Y (x) = Ae*, where A is a constant; d. (d) Y (x)=x", where n is odd; and e. (e). (x)=x+x².
- The ground state spectral term of the doubly ionized state (Si III) of the 14-Si element is requested to be determined.(1) in class, we said that the electronic states of the π electrons of a conjugated linear-like molecule could be approximated by the wave functions of a particle in a one-dimensional box of length L A) Write down the wave function for a single electron for such a system. Include any restrictions on the quantum number(s). B) Show that the transition probability with x-polarized light for the transition n = 1 → n = 2 is non-zero. C) Show that the transition probability with x-polarized light for the transition n = 1 → n = 3 is zero. D) What wavelength of photon is required for the transition in part (b) to occur? Assume that the excitation process is a one-photon process. please answer all parts as they pertain to each other.The cyclobutadienyl cation (C4H4+) may be treated using the Huckel MO approach. The roots to the secular determinant are α+ 2β, α and α- 2β. The middle level is doubly degenerate. (a) Determine the energy for this system in terms of α and β. (b) The ionization energy for C4H4 has been determined to be 0.22 eV. Calculate α in kJ mol-1. (c) Predict the ground state multiplicities for C4H4, C4H4+, and C4H4-.