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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

Chemistry
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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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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