Check if the 1s wave function of the hydrogen atom is normalized. exp(-afao) 15 V六 a。 3/2
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- An electron is in an angular momentum state with /= 3. (a) What is the length of the electron's angular momen- tum vector? (b) How many different possible z compo- nents can the angular momentum vector have? List the possible z components. (c) What are the values of the angle that the L vector makes with the z axis?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)Calculate the average orbital radius of a 3d electron in the hydrogen atom. Compare with the Bohr radius for a n 3 electron. (a) What is the probability of a 3d electron in the hydrogen atom being at a greater radius than the n 3 Bohr electron?
- Apply error propagation to determine the associated uncertainty in the average volume… Plz: Write out the electronic configuration of the ground state for fluorine (Z = 9). 015²25²2pl 15²2522p³ 15²25²2p4 O 16²25²2p5The radial probability density of a hydrogen wavefunction in the 1s state is given by P(r) = |4rr2 (R13 (r))²| and the radial wavefunction R1s (r) = a0 , where ao is 3/2 the Bohr radius. Using the standard integral x"e - ka dx n! calculate the standard deviation in the radial position from the nucleus for the 1s state in the Hydrogen atom. Give your answer in units of the Bohr radius ao.
- Suppose you measure the angular momentum in the z-direction L, for an /= 2 hydrogen atom in the state | > 2 > |0 > +i/ |2 >. The eigenvalues of %3D V10 10 Lz are – 2h, -ħ, 0, ħ, 2ħfor the eigenvectors | – 2 >, |– 1>, |0 >, |1 >, |2 >, respectively. What is AL,? V31 10 7 19 25具 Hydrogen has a ground state energy of Eo = -13.6 eV. A helium atom (Z = 2) with only one electron will have a ground state energy of Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer. Question 7 a E0/4. b C e Eo/2. Eo- d 25/3. 4E0/9.