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 m_l values limited by

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genius_generous answered 2 years ago

If an electron in an atom has orbital angular momentum with ml values limited by ±2,...

If an electron in an atom has orbital angular momentum with ml values limited by ±2, how many values of (a) Lorb,z and (b) μorb,z can the electron have? In terms of h, m, and e, what is the greatest allowed magnitude for (c) Lorb,z and (d) μorb,z? (e) What is the greatest allowed magnitude for the z component of the electron's net angular momentum (orbital plus spin)? (f) How many values (signs included) are allowed for the z component...

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...

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 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...

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If an electron in an atom has orbital angular momentum with ml values limited by

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