Argument for why can't I see through a table

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Homework Statement


Objects are composed of atoms. Atoms are nucleii surrounded by electrons. The electrons are tiny in comparison to the gaps between each other, and between electrons and the nucleus. This means that there are significant gaps between atoms in objects.

Homework Equations


A typical human eye will respond to wavelengths from about 380 to 750 nm.
The size of an electron is 2.82 × 10-15 m.
The diameter of an atom ranges from about 0.1 to 0.5 nanometers

The Attempt at a Solution

 
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What is happening to the energy of the photons of light?
 
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Also your first argument would apply equally well to glass.
In fact carbon atoms are closer together in a diamond than they are in coal
 


Humans can't see the gaps in tables just because they are too small to detect with the human eye. Instruments may be able to detect light from the other side of the table if photons could get through.

Spacing between carbon atoms is 0.1415 nm
Atomic diameter is 10^-9 m, or 1nm for helium, and 10-15nm for its nucleus.

From a model I have seen, the spacing between carbon atoms in diamond is the diameter of one carbon atom. That means that in diamond, there is a similar spacing between the outer electrons in the atom, and the edge of the nucleus, to electrons in the outer orbit of adjacent atoms. It's still easier for photons to pass between atoms than through them though, obviously. I presume that since the atoms are vibrating, and there are so many of them in a solid object, it is impossible for a photon to pass all the way through without colliding with enough atoms to reduce its energy to the point where it gets absorbed.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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