Molecular Spectroscopy Report No. 4 Due: May 13, 2015 Monday

Molecular Spectroscopy Report No. 4

Due: May 13, 2015 Monday

You can get the atomic mass of elements from the reference books available in the library. Do not take average atomic mass of elements because isotopes should be treated separately.

Problem 1) Determine the term symbols for the electron configuration nsnp. Which term symbol corresponds to the lowest energy?

Problem 2) The term symbols for an nd² electron configuration are ¹S, ¹D, ¹G, ³P, and ³F. Calculate the values of J associated with each of these term symbols. Which term symbol represents the ground state?

Problem 3) Show that the term symbols for an np⁴ electron configuration are the same as for an np² electron configuration.

Problem 4) What is the electron configuration of a magnesium atom in its ground state, and what is its ground state term symbol?

Problem 5) The sodium D doublet lines at 589.4 nm are the characteristics of emission from Na atom and can be used for identification of the presence of Na element in the sample.

a) Describe the origin of the D doublet lines in the spectrum of atomic Na.

b) Describe the L, S, and J numbers for both states of the transition.

c) In order to resolve these lines in the spectrum, what resolving power of spectrometer is needed?

Problem 6) A series of lines in the spectrum of atomic hydrogen lies at 656.46, 486.27, and 410.29 nm.

a) What is the wavelength of the next line in the series?

b) What is the ionization energy of the atom when it is in the lower state of the transitions?

Problem 7) When 58.4 nm ultraviolet radiation from a He lamp is directed on to a sample of krypton, electrons are ejected at 1.59x10⁶ m/s. Calculate the ionization energy of krypton.

Problem 8) Which of the following transitions are allowed in the normal electronic emission spectrum of an atom: (a) 2s → 1s, (b) 2p → 1s, (c) 3d → 2p, (d) 5d → 2s, and (e) 5p → 3s?

Problem 9) What are the values of L, S, and J for the state of term symbol ⁴D5/2? What is the minimum number of electrons which could give rise to this? Suggest a possible electronic configuration.

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