1. Excitations in the Bohr model. One can excite the electronic state of an atom by hitting it with a photon whose energy corresponds exactly to the energy spacing between two energy states. This is the essence of spectroscopy. (a) According to the Bohr model for a hydrogen atom, what is the energy difference between the ground state (n = 1) and each of the first (n = 2), second (n = 3), and third (n = 4) excited states? (Note: the electron always starts in the ground state). What wavelength of light, in nanometers, is needed to cause each of these excitations? (b) What region of the electromagnetic spectrum do the wavelengths from part (a) corre- spond to? (c) What wavelength of light (in nm) is required to ionize the atom? What happens if you hit the atom with an even shorter wavelength of light? (d) The Bohr model can also be used to describe other one-electron atoms such as He*, Li?+, etc. How does the energy for these excitations change qualitatively as the nuclear charge increases?
1. Excitations in the Bohr model. One can excite the electronic state of an atom by hitting it with a photon whose energy corresponds exactly to the energy spacing between two energy states. This is the essence of spectroscopy. (a) According to the Bohr model for a hydrogen atom, what is the energy difference between the ground state (n = 1) and each of the first (n = 2), second (n = 3), and third (n = 4) excited states? (Note: the electron always starts in the ground state). What wavelength of light, in nanometers, is needed to cause each of these excitations? (b) What region of the electromagnetic spectrum do the wavelengths from part (a) corre- spond to? (c) What wavelength of light (in nm) is required to ionize the atom? What happens if you hit the atom with an even shorter wavelength of light? (d) The Bohr model can also be used to describe other one-electron atoms such as He*, Li?+, etc. How does the energy for these excitations change qualitatively as the nuclear charge increases?
Chemistry: Matter and Change
1st Edition
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Chapter5: Electrons In The Atom
Section: Chapter Questions
Problem 61A: What is the difference between an atom’s ground state and an excited state?
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Transcribed Image Text:4. Excitations in the Bohr model. One can excite the electronic state of an atom by hitting
it with a photon whose energy corresponds exactly to the energy spacing between two energy
states. This is the essence of spectroscopy.
(a) According to the Bohr model for a hydrogen atom, what is the energy difference between
the ground state (n = 1) and each of the first (n = 2), second (n = 3), and third (n = 4)
excited states? (Note: the electron always starts in the ground state). What wavelength
of light, in nanometers, is needed to cause each of these excitations?
(b) What region of the electromagnetic spectrum do the wavelengths from part (a) corre-
spond to?
(c) What wavelength of light (in nm) is required to ionize the atom? What happens if you
hit the atom with an even shorter wavelength of light?
(d) The Bohr model can also be used to describe other one-electron atoms such as He+,
Li2+, etc. How does the energy for these excitations change qualitatively as the nuclear
charge increases?
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