Chemical Formula
Molecular and Empirical Formulas
Molecular Formula
Shows the number of atoms in each molecule ( Ex: C(6)H(12)O(6)
Empirical Formula
Smallest integer ratios of atoms in a molecule ( Ex: CH(2)O
Avogadro’s Number
N(A) = 6 × 10²³ / mol
Molecular Weight
Mass of a molecule; equal to the sum of the atomic masses of all the atoms in the molecule ( Ex: 23+16+1 = 40 Da )
Mole
Basic SI unit for the amount of a substance; equal to Avogadro’s number ( 6 × 10²³ ) of particles, molecules, or ions
Molar Mass
Mass of one mole of a compound (Ex: NaOH 40g/mol )
Concentration Unit
Molarity (M) = moles/liter = mol/L
Pressure Unit
1 atm = 10^5 Pa = 760 mmHg = 760 torr
Volume Unit
1 L = 1000 mL = 1000 cm³
Temperature Unit
T(K) = T(C) +273
Molar Mass Unit
g/moles = g/mol
Composition of percent mass
Percent mass of each element in a compound (Ex: HClO(4 = H = 1%, Cl = 34%, and O = 65%)
Limiting Reactant/Reagent
The reactant that is completely consumed when the reaction is completed and determines the amount of product that can be formed
Theoretical Yield
The maximum amount of product that can be formed and the actual yield is always lower than the theoretical yield
Percent Yield
Actual Yield / Theoretical Yield
Chemical Symbol (X)
Code for an element (Ex: C = Carbon)
Atomic Number (Z)
Z = Number of protons = nuclear charge and uniquely identifies the element
Mass Number (A)
A = Number of protons + neutrons
Isotopes
Atoms with the same number of protons but different number of neutrons
Charge (C)
C = protons - electrons
Ions
Atoms with nonzero charge
Cation
Charge > 0
Anion
Charge < 0
Electric Force
Repulsive force between the positively charged protons
Strong Nuclear Force
An attractive force between protons and electrons
Mass Defect
The mass of a nucleus is less than the sum of the masses of the individual protons and neutrons and the loss of mass results in a release of energy
Nuclear Binding Energy
Amount of energy required to separate a nucleus into individual protons and neutrons (always a positive value). Different atoms have different amounts of nuclear binding energy per proton/neutron. In nuclear reactions, energy is released if the products have greater nuclear binding energy than the reactants.
Nuclear Fusion
Combining nuclei to form heavier nuclei
Nuclear Fission
Describes splitting nuclei into lighter nuclei.
Radioactive Atoms
Have unstable nuclei
Radioactive Decay
The process by which an unstable nucleus emits radiation (alpha, beta, or gamma) to form a more stable nucleus
Alpha Decay
The nucleus emits an alpha particle (Two protons and two neutrons) A decreases by 4 and Z decreases by 2. Occurs with massive nuclei. A and Z must be balanced on both sides of the reaction.
B- Decay (Electrical Emission)
The nucleus emits an electron n → p + e- . A stays the same, Z increases by 1 and occurs with nuclei with a high neutron to proton ratio.
B+ Decay (Positron Emission)
The nucleus emits a positron n → p + e+ . A stays the same, Z decreases by one, and occurs with nuclei with a low neutron to proton ratio
Electron Capture
The nucleus absorbs an electron. p + e- → n . A stays the same, Z decreases by one, and occurs with nuclei with a low neutron to proton ratio
Gamma Decay
The nucleus emits a gamma ray. A and Z stays the same. Occurs with nuclei in an excited state.
Exponential Decay
Occurs when a quantity decreases at a rate proportional to its current amount
Half Life
The amount of time required for a substance to decay to half of its initial quantity
Bohr Model
A model of the atom where electrons follow circular orbits (called energy levels/shells) located at fixed distances away from the nucleus
Energy Level/Shells
Increase in energy away from the nucleus, have energies that are quantized, and get progressively closer together away from the nucleus
The Principal Quantum Number (n)
Indicates the energy level/shell
Excitation
Electrons can move from a lower energy level/shell to a higher energy level/shell by absorbing a photon (ground state to an excited state). The photon must have an energy equal to the difference in energy between the two levels.
Relaxation
Electrons in the excited state will spontaneously move from a higher energy level/shell to a lower energy level/shell by emitting a photon. The emitted photon has an energy equal to the difference in energy between the two levels.
Energy of a Photon Equation
E = hv, E is= energy of a photon, v = frequency, and h = planck’s constant (6.6 × 10^-34 J/s)
Second Energy of a Photon Equation
E = hc/lamda, lamda = wavelength, c = speed of light in a vacuum (3 × 10^8 m/s), and h = planck’s constant (6.6 × 10^-34 J/s)
Line Spectra
A continuous spectrum contains light of all wavelengths (Ex: White light)
Line Spectrum
Contains light at only discrete wavelengths (bands)
Absorption Light Spectra
White light is shined onto a sample in its ground state. The sample absorbs some wavelengths of light. The unabsorbed light is passed through a prism to produce the absorption spectrum.
Dark Bands
Indicate which wavelengths of light were absorbed by the sample
Emission Light Spectra
A sample in its excited state emits light that is passed through a prism to produce the emission spectrum
Bright Bands
Indicate which wavelengths of light were emitted by the sample
Wave-Particle Duality
Light and matter behave like both particles and waves
Young’s Double Slit Experiment
Passed light through a screen with two slits, if light was a particle then the viewing screen should only show two bright lines but instead a pattern of bright and dark bonds that were the result of wave diffraction and interference appeared, so light exhibits wave behaviors
Photoelectric Effect
Emission of photoelectrons from metal when shined with light and ejection of photoelectrons depended only on the frequency of light and not on the intensity, so light exhibits particle behavior
Work Function
The amount of energy required to eject an electron from a metal
Heisenberg’s Uncertainty Principle
It is impossible to accurately measure both the position and momentum of a particle simultaneously, the more precisely one is measured the more uncertainty there is for the other
Quantum Model
Electrons reside in atomic orbitals that can be described by: Size/Energy = Energy Level/Shell, Shape = Subshell, Electron Spin = Up or Down
Orbital Size/Energy
The size of an orbital is determined by the energy level/shell which is indicated by the principle quantum number (n)
Energy Level/Shells Have:
Quantized energies, increase in energy away from the nucleus, and get progressively closer together away from the nucleus
Orbital Shape
Determined by the subshell
The subshell corresponds to:
The blocks on the periodic table
d block
1 spherical orbital
p block
3 dumbell orbitals
d block
5 orbitals
f block
7 orbitals
Electron Spin (Pauli Exclusion Principle)
Each orbital can only fit two electrons and they must have opposite spin (up or down)
Electron Configuration
A notation used to represent the distribution of electrons in an atom in its ground state and electrons fill orbitals from lowest to highest energy
Bohr Model vs Quantum Model
In the Bohr Model, electrons are depicted as orbiting the nucleus in fixed circular paths, while the Quantum Mechanical Model describes the electron's location in terms of its probability distribution or electron cloud, based on its wave-like nature.
Electron Removal
Electrons are removed from electrons in the valence (outermost) shell orbitals from highest to lowest energy
Noble Gas Notation
An element's electron configuration can be shorthand represented by enclosing the preceding noble gas in brackets and writing the remaining configuration for the outer electron shells
Hund’s Rule
Electrons fill degenerate orbitals (orbitals in the same subshell) one per orbital before pairing
Half or Completely Filled Subshells
Unusually stable and elements in the 4th and 9th columns of the d block will move an electron from the s orbital to the d orbital to attain the unusual stability
Paramagnetic
Not all electrons are paired
Diamagnetic
All electrons are paired
Periodic Table Organization
Elements are organized by atomic number and recurring patterns of chemical properties. Elements in the same group (column) have the same number of valence electrons and similar chemical properties
Noble Gases
Elements in the last column of the periodic table, have a full valence shell and very low chemical reactivity (inert), are monatomic, and exist in the gas phase at standard conditions due to having very weak intermolecular forces
Halogens
Elements in the second to last column of the periodic table, are very reactive due to high electronegativity, have 7 valence electrons, and can gain one electron to attain noble gas configuration . Diatomic elements and exist in different phases at standard conditions.
Oxygen Group
The elements in the third to last column of the periodic table. They have 6 valence electrons and need to gain 2 electrons to attain noble gas configuration.
Alkali Metals
The elements in the first column of the periodic table, are very reactive, and only lose their only valence electron to attain noble gas configuration
Alkaline Earth Metals
The elements in the second column of the periodic table and these elements lose their two valence electrons to attain noble gas configuration
Representative Elements
The elements in the s and p blocks of the periodic table and are the most abundant elements on earth
Transition Elements
The elements in the d block of the periodic table and are the source of color in many colored compounds
Coulomb’s Law (Electrostatic Force)
F(E) = k Q(1)Q(2) / r
Electrostatic Force
Electrons in an atom experience an attractive electrostatic force from the positive nuclear charge (z)
Valence Electrons
Electrons in the outermost shell of the atom; participate in chemical bonds and reactions
Core Electrons
All nonvalence electrons; valence electrons do not feel the full positive charge of the nucleus because of the shielding provided by them
Electrostatic Force experienced by Valence Electrons proportion
F(E) is proportional to e x Z(eff) / r²
e in Electrostatic Force experienced by Valence Electrons proportion
Charge of an electron
Z(eff) in Electrostatic Force experienced by Valence Electrons proportion
Effective nuclear charge = p+ - # of core e- ; does not change along a column, the distance between the nucleus and valence electrons increases moving down a column, as electrons are added to larger shells that are farther from the nucleu
r in Electrostatic Force experienced by Valence Electrons proportion
Distance between the nucleus and the valence shell
Radius
The size of an atom’s electron cloud
Electrostatic Force Left to Right on the Periodic Table:
Increases due to the Z(eff) effective nuclear charge increasing too
Electrostatic Force Up to Down on the Periodic Table:
Decreases due to r (distance between the nucleus and the valence shell) increasing
Radius Proportion
Inversely related to the electrostatic force
Radius Left to Right on the Periodic Table:
Radius decreases due to electrostatic force increasing
Radius Up to Down on the Periodic Table:
Radius increases due to electrostatic force decreasing
Ionic Radius Anions
Addition of electrons increases the radius
Ionic Radius Cations
Removal of electrons decrease the radius
Ionization Energy
The amount of energy required to remove an electron from an atom or ion; proportional to electrostatic force