Question
In: Physics
Recognize how quantum numbers arise as a consequence of the wave model. Explain it
Recognize how quantum numbers arise as a consequence of the wave model.
Explain it
Solutions
Expert Solution
Quantum numbers arise in the process of solving the Schrodinger equation by constraints or boundary conditions which must be applied to get the solution to fit the physical situation.
The case of a particle confined in a one-dimensional box can be used to show how quantum numbers arise.Foundational to this process is the nature of the quantum mechanical wavefunction and its root in probability. For a particle in space, the wavefunction can be written
This wavefunction is subject to the constraints
In this process, we see that the quantum number n arises from the nature of the wavefunction and its solution when it is forced to fit the boundary conditions imposed by the potential.
genius_generous answered 2 years agoRelated Solutions
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron...
Quantum numbers arise naturally from the mathematics used to
describe the possible states of an electron in an atom. The four
quantum numbers, the principal quantum number (n), the angular
momentum quantum number (ℓ), the magnetic quantum number (mℓ), and
the spin quantum number (ms) have strict rules which govern the
possible values. Identify allowable combinations of quantum numbers
for an electron. Select all that apply. n = 6, ℓ= 6, mℓ= 0, ms= 1/2
n = 2, ℓ= 1,...
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron...
Quantum numbers arise naturally from the mathematics
used to describe the possible states of an electron in an atom. The
four quantum numbers, the principal quantum number (n),(n), the
angular momentum quantum number (?),(?), the magnetic quantum
number (m?),(m?), and the spin quantum number (ms)(ms) have strict
rules which govern the possible values.
Identify all allowable combinations of quantum numbers
for an electron.
1. n=3, ?=-2, m? = -2, ms = +1/2
2. n=3, ?=2, m? = -2, ms =...
Choose the correct statement(s) about the values of the quantum numbers according to the Quantum Model...
Choose the correct statement(s) about the values of the quantum
numbers according to the Quantum Model of the Hydrogen Atom:
The maximum allowed value of the orbital quantum number is
(n-1).
The allowed values of the principle quantum number are 1, 2, 3,
...
The allowed values of the orbital quantum number are 1, 2, 3,
... , (n-1).
The allowed values of the orbital magnetic quantum number are -
l, - l +1, ..., 0, ..., l -1, l.
How do quantum mechanics and numbers play into both Bohr's model of the atom and Heisenburg's...
How do quantum mechanics and numbers play into both
Bohr's model of the atom and Heisenburg's model?
1.How does our desire to make a model (wave/particle) hinder our understanding of quantum mechanics? What...
1.How does our desire to make a model (wave/particle) hinder our
understanding of quantum mechanics? What alternative do we have to
making a physical model?
2.Why have concepts as important as quantum mechanics (Chapter
7) escaped public notice?
3.How does the interaction of observer and experiment limit our
ability to interpret the results of quantum experiments? Has your
understanding of uncertainty changed?
How many ORBITALS in an atom could have these sets of quantum numbers? Please Explain.
How many ORBITALS in an atom could have these sets of
quantum numbers? Please Explain.n=2n=4, ℓ=3n=6, ℓ=3, mℓ=-2
Explain how developments made in the understanding of the atomic model changed from Bohr till Quantum model
Starting from discovery of electron, then gold foil experiment, Bohr model and then de Broglie and Heisenberg principle have played a vital role in the development of Quantum model of atomic structure. Explain how developments made in the understanding of the atomic model changed from Bohr till Quantum model?
Explain why in the case of the quantum harmonic oscillator the wave function can cross the...
Explain why in the case of the quantum harmonic oscillator the wave
function can cross the potential barrier and why does the same not
happen in the case of the infinite potential well?
Explain in detail
Describe the Bohr model of the hydrogen atom, and explain how Planck's quantum theory contributed to...
Describe the
Bohr model of the hydrogen atom, and explain how Planck's quantum
theory contributed to it
Write out the quantum numbers for the electrons in a Neon atom..and explain please.
Write out the quantum numbers for the electrons in a Neon
atom..and explain please.
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