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The formula for calculating the energies of an electron in a hydrogenlike ion is given in the following equation. En = - n = 1, 2, 3,... This equation cannot be applied to many-electron atoms. One way to modify it for the more complex atoms is to replace Z with (Z - ơ), where Z is the atomic number and ơ is a positive dimensionless quantity called the shielding constant. The physical significance of o is that it represents the extent of shielding that the inner electrons exert on each other. Thus, the quantity (Z - o) is appropriately called the effective nuclear charge. Calculate the value of o if the first ionization energy of oxygen is 2.18x10-18 ) per atom. (In your calculations, ignore the minus sign in the given equation.) 10

The formula for calculating the energies of an electron in a hydrogenlike ion is given in the following equation. En = - n = 1, 2, 3,... This equation cannot be applied to many-electron atoms. One way to modify it for the more complex atoms is to replace Z with (Z - ơ), where Z is the atomic number and ơ is a positive dimensionless quantity called the shielding constant. The physical significance of o is that it represents the extent of shielding that the inner electrons exert on each other. Thus, the quantity (Z - o) is appropriately called the effective nuclear charge. Calculate the value of o if the first ionization energy of oxygen is 2.18x10-18 ) per atom. (In your calculations, ignore the minus sign in the given equation.) 10

Principles of Modern Chemistry
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 55AP: The outermost electron in an alkali-metal atom is sometimes described as resembling an electron in...
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The formula for calculating the energies of an electron in a hydrogenlike ion is given in the following equation. męzze4 1 8h?eo? n² En n = 1, 2, 3,... 2 This equation cannot be applied to many-electron atoms. One way to modify it for the more complex atoms is to replace Z with (Z – 0), where Z is the atomic number and o is a positive dimensionless quantity called the shielding constant. The physical significance of o is that it represents the extent of shielding that the inner electrons exert on each other. Thus, the quantity (Z – 0) is appropriately called the effective nuclear charge. Calculate the value of o if the first ionization energy of oxygen is 2.18×10-18 J per atom. (In your calculations, ignore the minus sign in the given equation.) 10
Transcribed Image Text:The formula for calculating the energies of an electron in a hydrogenlike ion is given in the following equation. męzze4 1 8h?eo? n² En n = 1, 2, 3,... 2 This equation cannot be applied to many-electron atoms. One way to modify it for the more complex atoms is to replace Z with (Z – 0), where Z is the atomic number and o is a positive dimensionless quantity called the shielding constant. The physical significance of o is that it represents the extent of shielding that the inner electrons exert on each other. Thus, the quantity (Z – 0) is appropriately called the effective nuclear charge. Calculate the value of o if the first ionization energy of oxygen is 2.18×10-18 J per atom. (In your calculations, ignore the minus sign in the given equation.) 10
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