Is the 2px orbital an eigenfunction of operator Lz? if it is, what is the angular...

Is the 2px orbital an eigenfunction of operator Lz? if it is, what is the angular quantum number m for a 2px orbital? if it isn't what is the average value of operator Lz for the 2px orbital?

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genius_generous answered 2 years ago

LI2+ ion (a) Calculate energy (in Joules) of the 2px orbital of the ion (b) Calculate...

LI2+ ion (a) Calculate energy (in Joules) of the 2px orbital of the ion (b) Calculate energy (in Joules) and Wavelength (in nm) of the transition from the 4s orbital to the 2pz orbital of the ion (c) Calculate ionization energy of the ion

What is the number of angular nodes in the wave function for a hypothetical h orbital?...

What is the number of angular nodes in the wave function for a hypothetical h orbital? What would be the lowest valid combination of principal quantum number and angular momentum quantum number that would be valid for an h orbital?

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...

Show that sin(x) is an eigenfunction of the free particle (no potential energy) Hamiltonian operator. Please...

Show that sin(x) is an eigenfunction of the free particle (no potential energy) Hamiltonian operator. Please be explicit. Hsin(x) = Esin(x) p2x = − iℏ ∂/∂x = ℏi ∂/∂x H = p2/2m

An electron has spin angular momentum and orbital angular momentum. For the 4 d electron in...

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An electron has spin angular momentum and orbital angular momentum. For the 3.00 d electron in...

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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...

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...

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

To understand and be able to use the rules for determining allowable orbital angular momentum states....

To understand and be able to use the rules for determining allowable orbital angular momentum states. Several numbers are necessary to describe the states available to an electron in the hydrogen atom. The principal quantum number n determines the energy of the electron. The orbital quantum number l determines the total angular momentum of the electron, and the magnetic quantum number ml determines the component of the angular momentum parallel to a specific axis, usually the zaxis. For a given...

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