i am having trouble following the units. aren't you missing an e^2 term?
the units should go:
V(r) = Ze^2/(4(pi)e0) * <1/r>
Ze^2 = C^2 e0 = C/(V*m) 1/r = 1/m
So, V(r) = C*V = J
if my <1/r> is actually (2/a), i think i substitute in the following:
Z= 2 (no units for...
I am trying to find the expected potential energy. The equation I have is:
Z
--------- x (1/r) = V(r)
4*(pi)*E
Z is charge which equals 2 for Helium (number of protons) and I would sub in (2/a) for 1/r
i am assuming i would use Bohr's radius here where...
Homework Statement
The radial distribution factor for a 1s orbital given: R10
Calculate the expected value for potential energy of a He atom in the ground state.
Homework Equations
i understand the integral math where I solve down to <1/r> = z/a
but now, how do i use the V(r) =...
Does this mean I can just use the sin'2 in angular part to assign l and m equal to 2 and then determine n from there? Even if the functions don't match exactly.
are you saying that since the theta funtion part has sin^2 theta in it, and the only one in my table that does is theta 22, then both l and m are 2
since the function overall is a product of R(nl) and Theta(lm) Phi(m)
sorry i am a pain in the butt here, but now I am even more confused... how did you simplify down to that? all of functions in my table retain a Z^(3/2) term, but none have exponential like this or sin^2 theta
that is where I am confused. I see the hydrogen like wavefunction tables that contain R and (Theta Phi) values, but my function here does not fit any of them. Am I suppose to do something to the wave function first? If I am suppose to normalize then what would my boundaries be? and do I need...
I think you are referring to the radical substitution tables that are also in my quantum book, but the equation here does correlate to the tables here, I am not sure if i need to normalize it or separate terms or what.
The wave function for a particular electron is given by:
Psi= 4/(9√(4π)) * (6/a)^(3/2) * (r/a)^2 * e^(2i(phi) - (2r)/a) * sin^2 (θ)
a) This is an electron in which subshell?
b) This is an electron in an atom of which element?
c) What is the ionozation energy for this electron, assuming...
The wave function for a particular electron is given by:
Psi= 4/(9√(4π)) * (6/a)^(3/2) * (r/a)^2 * e^(2i(phi) - (2r)/a) * sin^2 (θ)
a) This is an electron in which subshell?
b) This is an electron in an atom of which element?
c) What is the ionozation energy for this electron, assuming...