Question

In: Physics

If an electron in an atom has an orbital angular momentum with ml = 4, what...

If an electron in an atom has an orbital angular momentum with ml = 4, what are the components (a) Lorb,z and (b) μorb,z? If the atom is in an external magnetic field that has magnitude 44 mT and is directed along the z axis, what are (c) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? If, instead, the electron has ml = -4, what are (e) Lorb,z, (f) μorb,z, (g) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment?

Solutions

Expert Solution


Related Solutions

If an electron in an atom has orbital angular momentum with ml values limited by
If an electron in an atom has orbital angular momentum with ml values limited by
An electron has spin angular momentum and orbital angular momentum. For the 4 d electron in...
An electron has spin angular momentum and orbital angular momentum. For the 4 d electron in scandium, what percent of its total orbital angular momentum is its spin angular momentum in the z direction?
An electron has spin angular momentum and orbital angular momentum. For the 3.00 d electron in...
An electron has spin angular momentum and orbital angular momentum. For the 3.00 d electron in scandium, what percent of its total orbital angular momentum is its spin angular momentum in the z direction?
given an electron has orbital angular momentum and spin angular momentum, l and s respectively. given...
given an electron has orbital angular momentum and spin angular momentum, l and s respectively. given the following relations: [lx,ly] = ih(bar)lz , [ly,lz] = ih(bar)lx , [lz,lx] = ih(bar)ly [sx,sy]= ih(bar) sz , [sy,sz] = ih(bar)sx , [sz, sy\ = ih(bar)sy (a) prove first that for an arbitary operator A, B that AB=BA+[A,B] (b) show that [lx,l^2] = 0 where l^2 = l*l = lx^2 + ly^2 + lz^2 (c) show that similarly, [ly,l^2]=0 and [lz,l^2]=0 (d)given that the...
The orbital angular momentum is a 3D vector. For an electron at a state associated with...
The orbital angular momentum is a 3D vector. For an electron at a state associated with quantum numbers (?, ?, ??), the magnitude of the orbital angular momentum is √?(? + 1) ℏ. The orbital angular momentum measured along the z axis, however, will be exactly ??ℏ. For a real orbital that combines two complex orbitals associated with two different ?? values, a measurement along the z axis will result in either of the two ?? values with an equal...
(a) What is the magnitude of the angular momentum for an ? = 30 electron? ?...
(a) What is the magnitude of the angular momentum for an ? = 30 electron? ? J
A hydrogen atom has an angular momentum of According to the Bohr model, determine: A) The...
A hydrogen atom has an angular momentum of According to the Bohr model, determine: A) The number of the orbit (main quantum number) B) The energy (eV) associated with this state. C) The radius of this orbit. D) The speed of the electron associated with this orbit. e) If a transition occurs from this state to the base state (n = 1), what is the energy that the photon has during the transition? f)). What is the wavelength of the...
What is angular momentum?
What is angular momentum?
What is meant by the orbital approximation for the wave function of a many electron atom?...
What is meant by the orbital approximation for the wave function of a many electron atom? Describe the limitations of this approximation.
Consider a hydrogen atom with its electron in the nth orbital.
Consider a hydrogen atom with its electron in the nth orbital. Electromagnetic radiation of wavelength 90 nm is used to ionize the atom. If the kinetic energy of the ejected electron is 10.4 eV, then the value of n is (hc = 1242 eV nm).
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT