chapter 2 Flashcards
black body radiation
Any radiation leaking out of
the hole has been absorbed and re-emitted
inside so many times that it has come to thermal equilibrium
energy distribution in a black body at several temp
energy density increases in the region of shorter wavelengths as the
temperature is raised, and the peak shifts to shorter wavelengths.
remark about rayleigh frequency distribution formula
The energy radiated would increase continuously as the frequency ν
increases
In the photoelectric effect
electromagnetic radiation incident on a metal
surface causes the metal to emit electrons after acquiring enough energy to escape
Observation about photoelectric effect and photons
(1) no electrons are ejected, regardless of the intensity of the radiation, unless its frequency exceeds a threshold value characteristic of the metal.
(2) increasing the intensity of the light increases the number of electrons
emitted but does not affect the kinetic energy of the emitted electrons.
(3) increasing the frequency of the radiation increases the kinetic energy of
the emitted electrons.
The photoelectric effect can be understood
if an electron is ejected in a
collision with a particle-like projectile (later named photons), provided the
projectile carries enough energy (Ephoton = hν) to expel the electron from
the metal.
The emission of light at discrete frequencies can be understood if we suppose that:
–the energy of the atoms or molecules is confined to discrete values, as
then energy can be discarded or absorbed only in packets as the atom
or molecule jumps between its allowed states.
–the frequency of the radiation is related to the energy difference between
the initial and final states: ∆E = hν.
The Schrödinger Equation
The mathematical representation of the wave, that in quantum mechanics
replaces the classical concept of trajectory, is called a wave-function, ψ, and is a function of the coordinates of the particle and also a function of time.
Quantum Numbers
Principal quantum number: n = 1, 2, 3, . . .
Angular-momentum quantum number: l = 0, 1, 2, . . . , n − 1
Magnetic quantum number: m = −l, −l + 1, . . . , 0, . . . , l − 1
Pauli Exclusion Principle
to determine the manner in which these states are filled: electrons configuration
The Spin of an Electron
is an intrinsic angular momentum that every
electron possesses and that cannot be changed or eliminated
The Aufbau Principle
electron configurations is based on the the fact that the total energy of the atom should be minimum.
Group 0:
inert gases, filled electron shells and stable electron configuration.
Groups VIIA & VIA:
elements with one (halogens) or two deficient
electrons from stable structure.
Groups IA & IIA:
alkali and alkaline earth metals having, respectively,
one and two excess electrons vs. stable configuration.