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Cheatography

Electrons in atoms Cheat Sheet (DRAFT) by

First term chemistry for first year of aerospace engineering.

This is a draft cheat sheet. It is a work in progress and is not finished yet.

Elements and compounds

Isotopes of Hydrogen

₁¹H→De­uterium (²₁H)→­Tritium (³₁H)

Mol: amount of substance SI

Nₐ=6,0­22*­10²­³en­tit­ies/mol
mass of 1 mol of substa­nce=its atomic mass (uma), taken as grams

Atomic spectra

Rydberg relation

only a limited number of energy values are available to excited gaseous atoms

The Bohr Atom

First postulate
atom= nucleu­s(p­osi­tiv­echarge and miuch of the system mass) +e⁻ moving in circular orbits around it
Fe=Fc⟶r=(Ze²)/(4πε₀m𝜈²)
Second postulate
The e⁻ has only a fixed set of stationary states, as long as it remains in the same orbit, its energy is constant and no energy is emitted
Third postulate
An e⁻can pass only from one allowed orbit to another emitting or absorvig quanta­(fixed discrete quantities of energy)

Heisen­berg's uncert­ainty principle

De Broglie's wave-p­article duality

Particle in a box

 
 

Law of conser­vation of mass

Matter cannot be created nor destroyed
mass reacta­nts­=mass products

Law of definite propor­tions

A chemical compound always contains exactly the same proportion of elements by mass

The modern atom

Atomic Number­=Z=­protons
Mass number­=A=­pro­ton­s+n­eutrons

Electr­oma­gnetic spectrum

c=λ*𝑣
γ rays
[10⁻¹⁵­,10­⁻¹¹]m
X rays
[10⁻¹³­,10⁻⁹]m
U.V.
[10⁻⁹,­390­*10⁻⁶]m
Visible
[390,7­60]nm
Infrarred
[760*1­0⁻⁶­,10⁻³]m
Microwave
[10⁻³,­10⁻¹]m
Radio
[10⁻²,­10⁴]m
the given values are for λ

Atomic spectrum of Hydrogen

Balmer experi­men­tally found a frequency formula to define H spectral lines
𝜈=3,288110¹⁵(1/2-1/n²) s⁻¹

The photoe­lectric effect

Einstein postulated that light is not a wave but a collection of discrete wave packets (photons)

The Zeeman effect

spectral lines are split in the presence of a magnetic fild
the split was propor­tional to the applied magnetic field

Quantum number

n (principal quantum number)
1,2,...,n
l (angular momentum number)
[0,...,­n-1]
m (magnetic quantum number)
[-l,...,l]
s (spin number)
[-1/2,1/2]

Pauli Exclusion Principle

In an atom two electrons cannot have the same quantum numbers

Planck's formula

the quantum energy is propor­tional to the frequency of the emitted radiation, the energy of a system changes in specific quanta.
h=6,62­6*10⁻³⁴

Orbitals

Descri­ption of the probab­ility of finding the electron in the space
high electronic charge density

Multie­lectron atoms

Different penetr­ating and shielding properties of the orbitals
Zeff=Z-σ