11 Atomic wavefunctions The radial and angular wavefunctions for two atomic orbitals are listed below. Use the wavefunct
Posted: Wed Mar 09, 2022 9:12 am
questions that follow. 3 ) where Osr<;Y,- sin e where 0 s 0, s 2 27 ба 8л 8 1- Joa! Ru(t)= molto 0 R, (v) = ludom (. 4 - where Osr<; Y,= E(3cos? 0-1) where 0 s 6,6 s 2 81300 a. Identify which atomic orbital each wavefunction corresponds to based on its quantum numbers. Make your reasoning clear. b. Calculate the orbital angular momentum and the projection of the angular momentum along the z-axis for an electron described by Y. in units of .s.
c. Determine the radial nodes for each wavefunction mathematically. d. Calculate the most probable position for an electron in the Y, 3.2.0 orbital.
e. Using the information above, label each curve on the graph below as P31 or Psz. Justify your choices using the information and results from parts c and d above. 1.350 Pn (1) 0.6750 0.000 0.000 10.00 20.00 r/a.
11 Atomic wavefunctions The radial and angular wavefunctions for two atomic orbitals are listed below. Use the wavefunctions to answer the c. Determine the radial nodes for each wavefunction mathematically. d. Calculate the most probable position for an electron in the Y, 3.2.0 orbital.
e. Using the information above, label each curve on the graph below as P31 or Psz. Justify your choices using the information and results from parts c and d above. 1.350 Pn (1) 0.6750 0.000 0.000 10.00 20.00 r/a.