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Is there a more accurate model (or models) to calculate the maximum wavelength (where there is...

Is there a more accurate model (or models) to calculate the maximum wavelength (where there is maximum absorption of light) for cyanine dyes, other than the particle-in-a-box model from which we can derive the equation (8?c?^2)/((?+1)h)=?????

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Answer #1

Yes, there is.

\DeltaE = (2N+1)h2/8mL2

i.e. hc/\lambdamax = (2N+1)h2/8mL2

i.e. \lambdamax = 8mcL2/((2N+1)h)

Where 'm' is the mass of the system

'c' is the velocity of light

'N' is the energy state of the system

'L' is the length of the system

'h' is the Planck's constant

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