The four quantum numbers for a single hydrogen electron in its ground state.
Answer to Problem 8SP
Solution:
Explanation of Solution
Introduction:
The values of the principle quantum numbers corresponding to the shells are,
The values of the orbital quantum numbers corresponding to subshells are,
The range of the orbital quantum numbers goes from
The range of the magnetic quantum numbers
The range of the spin quantum number
Explanation:
Understand that the ground state configuration of a hydrogen atom is
Only one electron will be present in the shell of the hydrogen as the atomic number ofhydrogen is
Recall the values of the principle quantum numbers corresponding to the shells.
Observe from the ground state configuration of a hydrogen atomthat the electron is present in the
Observe from the ground state configuration of a hydrogen atom that the electron is present in the
Recall the values of the orbital quantum numbers corresponding to subshells are,
Observe that for the
Write the magnetic quantum number corresponding to
Understand that the value of the orbital quantum number is
Write the value of spin quantum number.
Understand that only one electron is present in the ground state of the hydrogen atom. So, it will be either spin up
Conclusion:
Hence, the four quantum numbers corresponding to the electrons present in the ground state of the hydrogen atom are
Want to see more full solutions like this?
Chapter 44 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- For a hydrogen atom in an excited state with principal quantum number n, show that the smallest angle that the orbital angular momentum vector can make with respect to the z-axis is =cos1( n1n) .arrow_forwardWhat is the maximum number of orbital angular momentum electron states in the n = 2 shell of a hydrogen atom? (Ignore election spin.)arrow_forwardWhat are the possible values of m for an electron in the n = 4 state?arrow_forward
- If an atom has an election in the n = 5 state with m = 3, what are the possible values of l?arrow_forwardAn electron in a hydrogen atom is in the n = 5, l = 4 state. Find the smallest angle the magnetic moment makes with the z-axis. (Express your answer in terms of B .)arrow_forwardAn election in a hydrogen atom is in 3p state. Find the smallest angle the magnetic moment makes with the z-axis. (Express your answer in terms of µB.)arrow_forward
- For an electron in a hydrogen atom in the n=2 state, compute: (a) the angular momentum; (b) the kinetic energy; (c) the potential energy; and (d) the total energy.arrow_forwardShow that the maximum number of electron states the nth shell of an atom is 2n2.arrow_forwardExplain how a hydrogen atom in the ground state (l = 0) can interact magnetically with an external magnetic field.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning