For a hydrogenic atom orbital wavefunction, a. Evaluate an integral to determine expectation value for the position as a
Posted: Mon May 02, 2022 4:46 pm
For a hydrogenic atom orbital wavefunction,
a. Evaluate an integral to determine expectation value for the
position as a function of x.
b. With spherical coordinates r, theta, and phi:
write the integral for the expectation with r (simplify the
expression to show theta and phi can be pulled out as
constants).
c. Show that the expression below is correct for
wavefunction:
d. Why does the answer above independent of quantum number
ml ?
e. Give an explanation for why the average position radius
position in a given n orbital as quantum
number l increases. Specify in terms
of the shape of s, p, d, and f orbtials.
nao (r)n! , 10 (44 (4 "+)] 1 " 1 + 2 1 1(1 + 1) n2 [C Z
y(r, 0,0)211
a. Evaluate an integral to determine expectation value for the
position as a function of x.
b. With spherical coordinates r, theta, and phi:
write the integral for the expectation with r (simplify the
expression to show theta and phi can be pulled out as
constants).
c. Show that the expression below is correct for
wavefunction:
- For A Hydrogenic Atom Orbital Wavefunction A Evaluate An Integral To Determine Expectation Value For The Position As A 1 (13.47 KiB) Viewed 23 times
ml ?
e. Give an explanation for why the average position radius
position in a given n orbital as quantum
number l increases. Specify in terms
of the shape of s, p, d, and f orbtials.
nao (r)n! , 10 (44 (4 "+)] 1 " 1 + 2 1 1(1 + 1) n2 [C Z
y(r, 0,0)211