Photoelectron spectroscopy studies of silicon atomsexcited by X-rays with wavelength 9.890 × 10-1º m showfour peaks in which the electrons have speeds 2.097 ×107 m s-!, 2.093 x 107 m s-!, 2.014 × 107 m s', and1.971 x 107 m s-1. (Recall that 1 J = 1 kg m² s-2.)(a) Calculate the ionization energy of the electrons ineach peak.(b) Assign each peak to an orbital of the silicon atom.

Ionization energy: Amount of energy that is required to remove the electron from the outermost…

Answered: Photoelectron spectroscopy studies of…

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter5: Quantum Mechanics And Atomic Structure

Section: Chapter Questions

Problem 32P

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Calculate the ground state L and S values, taking into account the electronic configuration of the gadolinium element.
The Chemistry and Life box in Section 6.7 described the techniquescalled NMR and MRI. (a) Instruments for obtainingMRI data are typically labeled with a frequency, such as 600MHz. In what region of the electromagnetic spectrum doesa photon with this frequency belong? (b) What is the valueof ΔE in Figure 6.27 that would correspond to the absorptionof a photon of radiation with frequency 450 MHz? (c) Whenthe 450-MHz photon is absorbed, does it change the spin ofthe electron or the proton on a hydrogen atom?
For multi-electron atoms, we use the shell model and effective corepotential to estimate the energy of each atomic orbitals.a) For carbon anion (C-1), estimate the energy of 1s and 2s atomic orbitals.b) Draw the energy level diagram and assign electrons for carbon anion(C-1).c) In one or two sentences, briefly describe what is the physical meaningof atomic orbitals.d) Lydia sets up a photoelectron spectroscopy experiment of the gaseouscarbon anion (C-1) using an UV light (λ = 300 nm). How many peaks do you expect to see in the final spectrum?e) Estimate the lowest kinetic energy of the ejected electrons.
Photoelectron spectra were acquired from a sample of gaseous O2 using X-ray radiation with wavelength 0.99 nmand energy 1253.6 eV. The spectrum contained a large peakfor photoelectrons with speed of 1.57x 107m s-1. Calculate the ionization energy of these electrons. Identify theorbital from which they were most likely emitted.
Photoelectron spectra were acquired from a sample ofgaseous N2 using He(I) light with energy 21.22 eV as theionization source. Photoelectrons were detected withkinetic energy values 5.63 eV and also with 4.53 eV. Calculate the ionization energy for each group of electrons.Identify the MOs that were most likely the sources ofthese two groups of electrons.
Calculate the energy for vacancy formation in silver, given that the equilibriumnumber of vacancies at 800°C is 3.6x1023 m-3 . The atomic weight and density(at 800°C) for silver are, respectively, 107.9 g/mol and 9.5 g/cm3. (NA= 6.023x1023 atoms/mol)
Part A: Zr,Og,Hs,Hf,W,or kr Part b: 182,110,36,72,70
Using photoelectron spectroscopy, the ionization energy of the least tightly bound valence electron on P was determined to be 10.5 eV. Calculate the Zeffective for this electron.
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Identify the representative particle for each formula, and convert the givennumber of representative particles to moles.a. 3.75 × 1 0 24 C O 2 b. 3.58 × 1 0 23 ZnC l 2
Chapter 3 introduced the concept of a double bond between carbon atoms, represented by C=C , with a length near 1.34 Å. The motion of an electron in such a bond can be treated crudely as motion in a one-dimensional box. Calculate the energy of an electron in each of its three lowest allowed states if it is confined to move in a one-dimensional box of length 1.34 Å. Calculate the wavelength of light necessary to excite the electron from its ground state to the first excited state.
Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene (see Example 4.7) and the n=2 wave function for the weakest bound electron, calculate the probability of finding the electron in an 0.1 interval centered midway between the two inner carbon atoms (that is, the center is at x=2.11 , so this interval is from x1=2.06 to x2=2.16 ). Then calculate the probability of finding the electron in an 0.1 interval centered midway between an end carbon atom and the carbon atom that is double-bonded to it in the Lewis dot structure. (You may calculate the appropriate integrals or estimate the relevant areas under the curve graphically.) Then recalculate the probabilities by approximating the integral as |( x 0)|2x , where x0 is evaluated in the middle of the range from x1 to x2 . Finally, explain why you can’t approximate the integral needed for Problem 37(a) in this way.

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