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Particle in a box: given the number of carbon atoms, and the wavelength. How do

ID: 1339025 • Letter: P

Question

Particle in a box: given the number of carbon atoms, and the wavelength. How do I find the highest filled orbital, the lowest unoccupied orbital, and the box length. (ex. # of C atoms = 4, wavelength = 508.9nm. HFO = ?, LUO= ?, Box length = ?nm

L=[(h/8mc) (n^2-n^2 )] I believe I need to use this equation to find the box length. I just don't know how to find what the n values are.

this experiment only deals with unbranched hydrocarbons where the number of pi-electrons is equal to the total number of carbons in the system

Explanation / Answer

E = hc/lambda

E = n^2h^2/8mL^2

hc/lambda = 3.91 x 10^-19 J

3.91 x 10^-19 = (3^2-2^2) * h^2/8*9.1x10^-31 * L^2

L = 8.79 x 10^-10 m

4 carbon atom it can be butane butayne , butene

2 atom in n =1

2 atom n = 2

here HFO = 2

LFO = 3