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a. Calculate the energy of photon in singly ionized helium if the electron makes a transition from the n= 3 orbital (shown) down to the n= 1 orbital

a. Calculate the energy of photon in singly ionized helium if the electron makes a transition from the n= 3 orbital (shown) down to the n= 1 orbital

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2. The value of 13.6 eV used in the Bohr model is better known to physicists as the Rydberg constant RH те4 RH = 8h³ce? = 13.6 eV Thus, the Bohr energy equation for hydrogen can equally be written as 1 13.6 eV En = -RH n2 n2 The Bohr formula can be applied to other elements having only a single electron, like singly ionized helium (shown below), simply by replacing RH with R as defined below m(Ze?)? R = 8h³ce? Note that if the atomic number Z is equal to 1 this reduces to Bohr's formula. 13 Figure 1 Singly ionized helium has only one electron, thus is hydrogen-like. The electron is in then= 3 orbital.
Transcribed Image Text:2. The value of 13.6 eV used in the Bohr model is better known to physicists as the Rydberg constant RH те4 RH = 8h³ce? = 13.6 eV Thus, the Bohr energy equation for hydrogen can equally be written as 1 13.6 eV En = -RH n2 n2 The Bohr formula can be applied to other elements having only a single electron, like singly ionized helium (shown below), simply by replacing RH with R as defined below m(Ze?)? R = 8h³ce? Note that if the atomic number Z is equal to 1 this reduces to Bohr's formula. 13 Figure 1 Singly ionized helium has only one electron, thus is hydrogen-like. The electron is in then= 3 orbital.
a. Calculate the energy of photon in singly ionized helium if the electron makes a transition from the n= 3 orbital (shown) down to the n = 1 orbital b. Calculate the wavelength of this transition in nanometers. To make life easier, you may take the product of h*c to be 1239.8 eV*nm c. Based on your answer to part b) and on the figure below, what part of the electromagnetic spectrum does this photon belong to? Wavelength (jum) 106 105 10 103 102 10 10° 101 102 103 10 105 106 107 Gamma Ray XRay Infrared Radio Waves Ultraviolet Microwaves The Visible Spectrum ultraviolet violet blue green yellow red infrared 400 480 540 580 700 Wavelength (nm) Figure 2 The electromagnetic spectrum in units of nm
Transcribed Image Text:a. Calculate the energy of photon in singly ionized helium if the electron makes a transition from the n= 3 orbital (shown) down to the n = 1 orbital b. Calculate the wavelength of this transition in nanometers. To make life easier, you may take the product of h*c to be 1239.8 eV*nm c. Based on your answer to part b) and on the figure below, what part of the electromagnetic spectrum does this photon belong to? Wavelength (jum) 106 105 10 103 102 10 10° 101 102 103 10 105 106 107 Gamma Ray XRay Infrared Radio Waves Ultraviolet Microwaves The Visible Spectrum ultraviolet violet blue green yellow red infrared 400 480 540 580 700 Wavelength (nm) Figure 2 The electromagnetic spectrum in units of nm
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