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Units being used in the graphs for ψ and radius (in nm) and ψ^2 and ra 
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#1
Jun514, 11:01 AM

#2
Jun514, 06:21 PM

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The units of ψ are probably $$nm^{\frac{3}{2}}$$
If you square it and integrate it over the 3D volume, the result has to be dimensionless (1, if properly normalized). So the unit of ψ^{2} is just ##\frac{1}{nm^3}##. 


#3
Jun514, 06:26 PM

P: 382

My limited understanding of wavefunctions is that you cannot physically interpret a wavefunction in and of itself. The square of a wavefunction is interpreted in a probabilistic manner such that the square of the absolute value of psi can be interpreted as the probability of finding the particle in a region (x + dx). You can read a bit more about it here. You can see in your attachments that the psi^{2} gives some peaks which are areas where you are most likely to find the particle. Additionally you have many areas where the probability of finding the particle is nonzero, so you can find the particle in those regions some of the time but less often. This is the reason why you may have been hearing about "electron clouds" and such and the spooky nature of the quantum world. I'm sure others may have better answers for you.



#4
Jun614, 01:54 AM

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P: 11,890

Units being used in the graphs for ψ and radius (in nm) and ψ^2 and ra



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