The quantum-mechanical model for the hydrogen atom uses several quantum numbers to describe various properties of the atom's electron-properties that collectively describe the state of the atom. (a) When the principal quantum number is n- 4, for a hydrogen atom, how many different values can the orbital quantum number, t, assume? O 2 (b) When the principal quantum number is n- 4, for a hydrogen atom, how many different values can be held by the orbital magnetic quantum number, m,? (Assume that the orbital quantum number t is at its largest allowable value for an atom with n- 4.)

The quantum-mechanical model for the hydrogen atom uses several quantum numbers to describe various properties of the atom's electron-properties that collectively describe the state of the atom. (a) When the principal quantum number is n- 4, for a hydrogen atom, how many different values can the orbital quantum number, t, assume? O 2 (b) When the principal quantum number is n- 4, for a hydrogen atom, how many different values can be held by the orbital magnetic quantum number, m,? (Assume that the orbital quantum number t is at its largest allowable value for an atom with n- 4.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter29: Atomic Physics

Section: Chapter Questions

Problem 48P

See similar textbooks

Similar questions

Check Your Understanding When an election in a hydrogen atom is in the first excited state, what prediction does the Bohr model give about its orbital speed and kinetic energy? What is the magnitude of its orbital angular momentum?
(a) If one subshell of an atom has nine electrons in it, what is the minimum value of (b) What is the spectroscopic notation for this atom, if this subshell is part of the n = 3 shell?
The quantum mechanical model of the hydrogen atom requires that if the principal quantum number is 6, there will be how many different permitted orbital quantum number(s)?
In a hydrogen atom, what is the principal quantum number of the electron orbit with a radius closest to 1.0 μm?
If we have a hydrogen atom with its electron in the d state? Then the principal quantum number is n is 2. (True or False?) Justify your answer.
An electron is in a state withL=3. (a) What multiple of gives the magnitude of ? (b) What multiple of mBgives the magnitude of ? (c) What is the largest possible valueof , (d) what multiple of gives the corresponding value of Lz,and (e) what multiple of mB gives the corresponding value of morb,z?(f ) What is the value of the semiclassical angle u between the directionsof Lz and ? What is the value of angle u for (g) the secondlargest possible value of and (h) the smallest (that is, most negative)possible value of ?
The wavefunction for an electron in the Hydrogen atom is provided in figure 1, where B is a constant, and a0 is the Bohr radius. Calculate the most probable value of the radial position, r, for this electron. Note: The volume element in spherical polar coordinates is given by dV = r 2 sin θ dr dθ dφ.
A rectangular corral of widths Lx = L and Ly = 2L holds an electron.What multiple of h2/8mL2, where m is the electron mass, gives (a) the energy of the electron’s ground state, (b) the energy of its first excited state, (c) the energy of its lowest degenerate states, and (d) the difference between the energies of its second and third excited states?
What, if any, constraints does a value of ml = 1 place on the other quantum numbers for an electron in an atom?
Calculate the magnitude of the maximum orbital angular momentum Lmax for an electron in a hydrogen atom for states with a principal quantum number of 156. Express your answer in units of ℏ to three significant figures.
Give four valid sets of quantum numbers for a 5f electron.
What is the longest wavelength of a photon that can be emitted by a hydrogen atom, for which the final state is n = 9?