Homework Statement
Assuming the five basis atomic orbitals are normalised use the Huckel approximations to normalise the wavefunction for the cyclopentadienyl radical
Wavefunction = \phi_{1}+\phi_{2}+\phi_{3}+\phi_{4}+\phi_{5} .
Homework Equations
I know that \phi_{i}\phi_{j} = 1 if...
Homework Statement
The Raman spectrum of ethene, obtained using 488.0nm radiation from a laser, shows an intense line at 540.0nm. Calculate the wavenumber for this vibration
I know that you get stokes, anti-stokes and rayleigh scattering. Not sure how to calculate the wavenumber though ...
Yes what they say is correct that's because in a chemical environment the d orbital is lower in energy than the s so is filled before the s orbital( I'm not sure if you would have been taught this yet, i got taught it first year undergrad).
Homework Statement
Give two reasons why as molecular size increases does it become increasingly difficult to experimentally obtain well-resolved rotational spectra?
The Attempt at a Solution
Basically I know one reason. The energy levels become more tightly packed.
I have another...
I'm not entirely sure on how to work out the answer but this may point you in the right direction :
1st calculate the amount of energy the oxidation of one mole of hydrogen produces
2nd calculate how many moles of hydrogen would be needed to meet the demand of 10^17kJ
3rd calculate how much...
First of all the equation needs to be balanced ( there are more hydrogens on the left than the right). Then you need to calculate the number of moles 100g of ammonia contains. Then using the stoichiometry of the reaction use that to calculate the equivilant number of moles of oxygen required to...
Because the wavefunction is normalized it should be a maximum of 1 :). I've solved it now anyway, this website helped confirm my answer if anyone has a similar problem
http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hydrng.html#c1
are the limits ao and 0 and then intergrate by parts?
Okay so if what i said is true:
I changed the variable to make it more straight forward (x=r/ao) so
(upper limit is 1 lower is 0)
probability = (4/a_o) x^2 e^{-2} dx
Then using intergration by parts I get
(4/a_o) \int x^2...
Homework Statement
The probability of finding a 1s electron in a region between r and r+dr is:
probability = (4/a^3_o) r^2 e^{-2r/a_o} dr
1. work out the probability that an electron would be found in a sphere of radius a_o
Homework Equations
I know to find the probabilty you...
Homework Statement
Normalise ψ=Ae^(-λχ)e^(-iδt)
Homework Equations
I know you have to intergrate ψ^2 i.e (ψxψ*)
The Attempt at a Solution
Im literally just stuck at the first bit , i can do the rest. I have the solutions manual and I don't understand how they get 2|A|^2 e^(-2λχ) from...
Hiya :) the title is meant to be prove it isn't hermitian
Homework Statement
Prove the operator d/dx is hermitian
Homework Equations
I know that an operator is hermitian if it satisfies the equation : <m|Ω|n> = <n|Ω|m>*
The Attempt at a Solution
Forgive the lack of latex , I...
Thanks! :Danother similar question to that one I have is :
write down two equations to represent the fact that two different wavefunctions are simultaneously eigenfunctions of the same hermation operator, with different eigenvalues. what conclusion can be drawn about these wavefunctions. So far...