The 1D Bohr model is valid for any atom that has only one electron, no matter how large its atomic number is. The element with the highest atomic number that has been observed is Oganesson (Og), which has atomic number 118. The ion Og¹17+ has 118 protons and 1 electron. (a) Find the energy of the ground state of Og117+ in eV. (b) Draw an energy level diagram for Og¹17+ that shows the lowest 3 energy states. Label the energies of these states as multiples of the ground state energy E₁. (c) Find the wavelength of a photon emitted in the transition from the n = 3 energy state to the n = 1 energy state of Og117+.
The 1D Bohr model is valid for any atom that has only one electron, no matter how large its atomic number is. The element with the highest atomic number that has been observed is Oganesson (Og), which has atomic number 118. The ion Og¹17+ has 118 protons and 1 electron. (a) Find the energy of the ground state of Og117+ in eV. (b) Draw an energy level diagram for Og¹17+ that shows the lowest 3 energy states. Label the energies of these states as multiples of the ground state energy E₁. (c) Find the wavelength of a photon emitted in the transition from the n = 3 energy state to the n = 1 energy state of Og117+.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:The 1D Bohr model is valid for any atom that has only one electron, no matter
how large its atomic number is. The element with the highest atomic number that has been
observed is Oganesson (Og), which has atomic number 118. The ion Og¹17+ has 118 protons
and 1 electron.
(a) Find the energy of the ground state of Og117+ in eV.
(b) Draw an energy level diagram for Og117+ that shows the lowest 3 energy states. Label
the energies of these states as multiples of the ground state energy E₁.
(c) Find the wavelength of a photon emitted in the transition from the n = 3 energy state
to the n = 1 energy state of Og117+
(d) If the photon emitted in part (c) is scattered off an electron at a scattering angle of 10°,
what is the wavelength of the scattered photon?
(e) If the photon emitted in part (c) is instead scattered off a crystal with atomic spacing
0.001 nm, at what angles will interference maxima occur?
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