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Wien’s law
λmaxT = 2.9mm K
The issue of the Rayleigh-Jeans law
Predicts a limitless increase in energy density aka the ultraviolet catastrophe
Planck’s proposal
oscillators are only excited if they can acquire an energy of at least hv which is too large for high frequency oscillators
Balmer equation (visible light)
wavelength= h(m2/ m2- 22)
Rydberg equation (general)
wavenumber= Rh (1/n21- 1/n22)
Bohr frequency condition
ΔE= En2- En1 = hv
What was De Broglie’s proposition
Light has wave-like and particle like properties
De Broglie wavelength=
h/p= h/mv
probabilty of finding the particle in a particular region(Born interpretation)
square of the wavefunction
What is a node
Where the probability of finding the particle is 0
Constraints pf wavefunction (4)
continuous, single valued at each point, continuous first derivative, not infinite over a finite region(no asymptotes)
What is the uncertainty principle
impossible to specify momentum and position of particle simultaneously
two functions are orthogonal if…
the integral of their product is 0
bohr radius
r is proportional to n^2
Bohr energy
En is proportional to -1/n^2