Stephen 4.25.doc
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(1) The binding energy of an electron in the ground state of deuterium is 13.6 eV. (2) The binding energy of an electron in the ground state of He+ is 54.4 eV. (3) The binding energy of an electron in the ground state of Be+++ is 217.6 eV.
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Stephen 4.25.doc
- 1. 1 What is the binding energy of the electron in the ground state of (a) deuterium, (b) He+ , and (c) Be+++ ? Solution The nucleus of a deuterium atom, called a deuteron, contains one proton and one neutron.
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- 4. 4 2 0 2 0 2 2 2 1 2 Using , 1, 2,3,... where 13.6 13.6 Now, Ground state refers to 1 13.6 , 13.6 (1) n n Z E E n n E eV Z X eV E n n E Z X eV Generally E Z X eV
- 5. 5 0 0 0 , For Deuterium, Z=1 13.6 For Helium, Z=2 4 4 13.6 54.4 For Beryllium, Z=4 16 16 13.6 217.6 Now E E eV E E X eV eV E E X eV eV