The wave function for hydrogen in the 1s state may be expressed as Psi(r) = Ae−r/a0. Determine the most probable value for the location of the electron when the atom is in this state. (Use the following as necessary: A, a0) where A = 1/sqrt(pi*a03)
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The wave function for hydrogen in the 1s state may be expressed as Psi(r) = Ae−r/a0.
Determine the most probable value for the location of the electron when the atom is in this state. (Use the following as necessary: A, a0) where A = 1/sqrt(pi*a03)
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- If the zirconium atom ground state has S= 1 and L = 3, what are the permissible values of J? Write the spectroscopic notation for these possible values of S, L, and J. Which one of these is likely to represent the ground state?A spherical harmonic function is the angular part of the wavefunction of an electron in hydrogen atom. In the state (5,4,-2), it is the following, Y, (0, ø) =V exp[-2iø] sin? 0 (7 cos² 0 – 1) A. What is the most probable angle 0 to find the electron? If there are more than one angle, please enter one of the correct answers. Answer:▼ Part A For an electron in the 1s state of hydrogen, what is the probability of being in a spherical shell of thickness 1.00×10-2 ap at distance aB? ▸ View Available Hint(s) 15. ΑΣΦ ? Part B For an electron in the 1s state of hydrogen, what is the probability of being in a spherical shell of thickness 1.00×10-2 ag at distance ag from the proton? ▸ View Available Hint(s) [5] ΑΣΦ ? Submit Submit
- Find the position expected value for an electron in the ground state of hydrogen. Express your answers in terms of the Bohr radius a. A partio a ground ndThe wave function for hydrogen in the 1s state may be expressed as Psi(r) = Ae−r/a0, where A = 1/sqrt(pi*a03). Determine the average value for the location of the electron. ravg= ___The wave function for hydrogen in the 1s state may be expressed as Psi(r) = Ae−r/a0, where A = 1/sqrt(pi*a03) Determine the probability for locating the electron between r = 0 and r = a0.
- Zirconium (Z = 40) has two electrons in an incomplete d subshell. (a) What are the values of n and ℓ for each electron? n = ℓ = (b) What are all possible values of m and ms? m = − to + ms = ± (c) What is the electron configuration in the ground state of zirconium? (Use the first space for entering the shorthand element of the filled inner shells, then use the remaining for the outer-shell electrons. Ex: for Manganese you would enter [Ar]3d54s2)An electron is in the 4f state of the hydrogen atom. (a) What are the values of n and I for this state? (b) Find the energy of this state. (c) Find the magnitude of the electron's total angular momentum L. (d) Find the possible values of the z-component of angular momentum L₂. (e) Using your answer from part (d), determine the minimum angle that the angular mo- mentum vector I can make with respect to the z-axis for this state.The average value (or expected value) of r^k, where r is the distance of an electron in the state with principal quantum number n and orbital quantum number leo proton in the hydrogen atom is given by the integral below, where Pnl(r) is a radial probability density of the state with quantum number n, lek is an arbitrary power. For an electron in the ground state of the hydrogen atom. a) calculate <r>nl in terms of the Bohr radius aB b) calculate <l/r>nl in terms of aB c) calculate <U(r)>nl, where U(r) = -e^2/(4piE0r). Respond in eV units. d) Considering also that the electron is in the ground state, estimate the expected value for two kinetic energy <K> and its mean quadratic velocity v. e) Is it justifiable to disregard relativistic corrections for this system? Justify.
- Answer the following. (a) Write out the electronic configuration of the ground state for boron(Z = 5). 1s25 2p1 O 13252p2 O 1:252p3 O 15232p4 O 132,2,5 O 13232,6 (b) Write out the values for the set of quantum numbers n, l, m, and m. for each of the electrons in boron. (In cases where there are more than one value, enter the positive value first. Enter positive values without a '+' sign in front of them. Include all possible values.) m.= 1s states n = 1 e = 0 m, = 0 m. = X Your answer must be a fraction, integer, or exact decimal. m = 25 states n = 2 l = 0 m,- 0 X Your answer must be a fraction, integer, or exact decimal. m, = = |-1 m. = |x Your answer must be a fraction, integer, or exact decimal. ms = 2p states n = 2 v m, - 0 X Your answer must be a fraction, integer, or exact decimal. m. = = +1 X Your answer must be a fraction, integer, or exact decimal.Enumerate all states of the hydrogen atom corresponding to the principal quantum number n = 2, giving the spectroscopic designation for each. Calculate the energies of these states.Consider a hydrogen atom in the following state: Pn.e.j.m, = P,,33 = R21(r) Y33 P2.1 With the generalized spherical harmonic given by e ± m, + 1/2 e7m, + 1/2 Y Y 1 X+ + E.m2 X- 28 + 1 2e + 1 = (in units of h) Choose. = (in units of h) Choose...