hydrogen atoms are in state 4f. express the operator the total angular momentum in the x-axis...

hydrogen atoms are in state 4f. express the operator the total angular momentum in the x-axis in the matrix notation, if j is of minimum value

Solutions

Expert Solution

because sqrt(5)=2.2361 and sqrt(8)=2.8284.

Kindly hit a like. It was very lengthy and tricky question.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

The deuteron is a bound state of a proton and a neutron of total angular momentum...

The deuteron is a bound state of a proton and a neutron of total angular momentum j = 1. It is known to be principally an S(ℓ = 0) state with a small admixture of a D(ℓ = 2) state. Calculate the magnetic moment of the pure d state n-p system with j = 1. Assume that the n and p spins are to be coupled to make the total spin s which is then coupled to the orbital angular...

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...

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...

Propanol- C3H7OH- Determine the ratio of atoms of Carbon per total atoms, Hydrogen per total atoms...

Propanol- C3H7OH- Determine the ratio of atoms of Carbon per total atoms, Hydrogen per total atoms and Oxygen per total atoms.

With the sun at the origin, compute the total angular momentum of the earth, and compare...

With the sun at the origin, compute the total angular momentum of the earth, and compare the magnitude of the contributions from the angular momentum of the center of mass and the angular momentum about the center of mass. You can make simplifying assumptions, like that the orbit is circular, that the earth is perfect sphere, etc.

a) Calculate, in units ofℏ, the magnitude of the maximum total (orbital+spin) angular momentum for an...

a) Calculate, in units ofℏ, the magnitude of the maximum total (orbital+spin) angular momentum for an electron in a hydrogen atom for states with a principal quantum number of 5. b) An electron initially in a 4p state decays to a lower energy state. Which energy state is forbidden? (pick one): 1s, 2s, 3d, or 2p? Why? c) What is the total number of electrons that can occupy a subshell for a given amount of orbital angular momentum l? Write...

a) Calculate, in units of ℏ, the magnitude of the maximum total (orbital+spin) angular momentum for...

a) Calculate, in units of ℏ, the magnitude of the maximum total (orbital+spin) angular momentum for an electron in a hydrogen atom for states with a principal quantum number of 5. b) An electron initially in a 4p state decays to a lower energy state. Which energy state is forbidden? (pick one): 1s, 2s, 3d, or 2p? Why? c) What is the total number of electrons that can occupy a subshell for a given amount of orbital angular momentum l?...

Show that, in a symmetrical 2D linear harmonic oscillator, the expectation value for total angular momentum...

Show that, in a symmetrical 2D linear harmonic oscillator, the expectation value for total angular momentum is conserved with time.

In a sample of hydrogen gas there are 4.92 x 10^ 18 hydrogen atoms. How many...

In a sample of hydrogen gas there are 4.92 x 10^ 18 hydrogen atoms. How many methane molecules (CH4) could be formed? Please explain how you got to the answer and the answer........

Consider the linear transformation T which transforms vectors x C) in the y-axis. a) Express the...

Consider the linear transformation T which transforms vectors x C) in the y-axis. a) Express the vector X = T(x), the result of the linear transformation T on x in terms of the components x and y of X. by reflection [10 Marks] b) Find a matrix T such that T(x) = TX, using matrix multiplication. Calculate the matrix product T2 represent? Explain geometrically (or logically) why it should be this. c) T T . What linear transformation does this...

Subjects