Energy quantization and light Flashcards
energy and frequency
dE = hv
frequency and wavelength
v = c/lamda
what is the photoelectric effect
hv = KEmax + W
KE is the kinetic energy of emitted electrons from a metal’s surface
W is the minimum energy to liberate and electron
wave particle duality
lamda = h/mv = h/P
P = momentum = mv
Relationship between wave-like properties and mass
Linked by wave particle duality. Larger mass = smaller wavelength = less wave-like properties
Energy of wavefunctions
En = -(hcRh)/n2
Rh = 109678cm-1
de Broglie principal
p = mv
therefore
KE = 1/2mv^2 = p^2/2m
Heisenberg uncertainty principle
Used as we cannot know both momentum and position of a particle
dPdx = h/4pi
Allowed energies of a particle in a box
E = n^2h^2/8mL^2
n cannot be 0
Trends in energy spacings with number of atoms and box size
dE increases with n and decreases with L
Allowed energy levels of harmonic oscillation
Ev = (v + 1/2)hvosc
vosc equation
vosc = 1/2pi * sqrt(k/mu)
where k is the spring force constant
mu is the reduced mass
Energy spacing in a harmonic oscillator
dE = hvosc
Allowed energy levels of a morse potential model
Ev = hvosc(v+1/2) - hvoscxe(v+1/2)^2
where xe is a measure of anharmonicity
energy gap between levels in a morse oscillator
dE = hv - 2(v + 1)hvxe
