Interpretation:
The reason for the statement “The probability of finding two electrons with the same four quantum numbers in an atom is zero” is to be explained.
Concept introduction:
The principalquantum number
Theprincipal quantum number designates the orbital size.
The angular momentum quantum number tells the shape of the atomic orbital. The possible range of l is from
The magnetic quantum number tells the orientation of the atomic orbital in space. The possible range of
The electron spin quantum number tells the electron spin in an orbital in space. The possible spins are
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
CHEMISTRY(LOOSELEAF W/CODE)- CUSTOM
- 6.32 What are the mathematical origins of quantum numbers?arrow_forwardIn 1885, Johann Balmer, a mathematician, derived the following relation for the wavelength of lines in the visible spectrum of hydrogen =364.5 n2( n2 4) where in nanometers and n is an integer that can be 3, 4, 5, . . . Show that this relation follows from the Bohr equation and the equation using the Rydberg constant. Note that in the Balmer series, the electron is returning to the n=2 level.arrow_forward• identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forward
- Use the mathematical expression for the 2pz wave function of a one-electron atom (see Table 5.2) to show that the probability of finding an electron in that orbital anywhere in the x-y plane is 0. What are the nodal planes for a dxz orbital and for a dx2y2 orbital?arrow_forwardIn defining the sizes of orbitals, why must we use an arbitrary value, such as 90% of the probability of finding an electron in that region?arrow_forwardWhat type of relationship (direct or inverse) e xists between wavelength, frequency, and photon energy? What does a photon energy unit of a joule equal?arrow_forward
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage LearningChemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningChemistry by OpenStax (2015-05-04)ChemistryISBN:9781938168390Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark BlaserPublisher:OpenStax
- Chemistry for Engineering StudentsChemistryISBN:9781337398909Author:Lawrence S. Brown, Tom HolmePublisher:Cengage LearningChemistry: An Atoms First ApproachChemistryISBN:9781305079243Author:Steven S. Zumdahl, Susan A. ZumdahlPublisher:Cengage Learning