Chemistry
Basics
Given some element
Where
- Cations
- Positively (+) Charged
- Anions
- Negatively (−) Charged
Mnemonic
Cations are Pawsitive
Conventions on homework
When a question says, determine the energy of 1 ㏖ of photons, the unit will be ᴶ/㏖.
Units
SI Prefixes
Value | Prefix | Symbol |
---|---|---|
deca | ||
hecto | ||
kilo | ||
mega | ||
giga | ||
tera |
Value | Prefix | Symbol |
---|---|---|
deci | ||
centi | ||
mili | ||
micro | ||
nano | ||
pico |
Classification of Matter
Overview
Mixtures
Heterogeneous mixture
Where the prefix Hetero- means different
Homogeneous mixture
Where the prefix Homo- means same
The Atom and Nuclear Chemistry
Isotopes and Subatomic Particles
Electrons and Quantum Mechanics
Average Atomic Mass
If the average atomic mass of boron is , what is the percent abundance of boron-11 (mass of ) if the only other isotope is boron-10 (mass of )? Given the formula for average atomic mass:
Therefore in summary, we are given the following known quantities
With the following unknown quantities
And asked to find the percent abundance of boron-11 (). Therefore our equation is
We have two unknowns, but luckily we can use the following fact/relation and therefore express the percent abundance of boron-10 in terms of the percent abundance of boron-11
Therefore
But we aren't done, we have to compute significant figures.
Therefore, we round our answer to 2 sig figs, yielding
Molecules and Compounds
Terms
- Electronegativity
- Can be used to to determine type of bond based on electronegativity difference.
- Ionic Bond
- Covalent Bond
- Polar Covalent Bond
- Sharing of electrons.
- Hydrogen Bond
- Hydrogen is bonded with an electronegative element.
Prefixes
Prefix | Value |
---|---|
mono- | |
di- | |
tri- | |
tetra- | |
penta- |
Prefix | Value |
---|---|
hexa- | |
hepta- | |
octa- | |
nona- | |
deca- |
Formula Summary
Formal Charge (Option 1)
Given some element which has number of valance electrons, and a lewis diagram of bonded () electrons and non-bonded () electrons, the formal charge for the given element in the lewis structure is
For the given quantities
Formal Charge (Option 2)
Given some element which has number of valance electrons, and a lewis diagram of some number of bonds () and dots (), the formal charge for the given element in the lewis structure is
For the given quantities
Note: each bond is 2 electrons, but counts as one bond.
Polyatomic Ions
Remembering the number of oxygens
General
Given a set of oxygens in increasing order
Where
For example
Given some element or compound ionically bonded with such
For example
The following table denotes the naming conventions therein
Prefix | Prefix Meaning (relative to suffix) | Suffix | Oxygen Order | Example | |
---|---|---|---|---|---|
Formula | Name | ||||
Per- | More than | -ate | Highest # | Perchlorate | |
-ate | Higher # | Chlorate | |||
-ite | Lower # | Chlorite | |||
Hypo- | less than | -ite | Lowest # | Hypochlorite |
Oxygen vs No-Oxygen Comparison
Prefix | Suffix | Meaning | Example | Name |
---|---|---|---|---|
Per- | -ate | or | Persulfate | |
-ate | Sulfate | |||
-ite | Sulfite | |||
Hypo- | -ite | Hyposulfite | ||
-ide | No oxygennon-metal | Sulfide |
In summary
Per*ate
Greater than
- *ate
- *ite
- Hypo*ite
*ate
Less than
- Per*ate
Greater than
- *ite
- Hypo*ite
*ite
Less than
- Per*ate
- *ate
Greater than
- Hypo*ite
Hypo*ite
Less than
- Per*ate
- *ate
- *ite
Generally
per-ate | Used in the ion with the largest number of oxygen atoms |
---|---|
-ate-ite | Polyatomic ions of oxygen |
hypo-ite | Used in the ion with the lowest number of oxygen atoms |
-ide | Non-metal, no oxygens |
Determining The Charge†
Warning
Phosphate () is the only one that violates this rule!
Ionic Lewis Structures
Ionic Lewis Structures
Examples
Notes
- When naming an ionic compound, the name of the cation is followed by the name of the anion. Monatomic anions are named with the ending -ide.
Periodic Properties of the Elements
Note, electron affinity is not the same as electronegativity!
Terms
- Isoelectronic
- Atoms with the same number of electrons.
- Ionization energy
- Predict Metallic Character Based on Periodic Trends
Expanded Octet (Exceptions to the Octet Rule)
All non-metals from period 3 to period 8 of the Periodic Table, can have expanded octets.
Quantum Mechanical Models of the Atom
The Electromagnetic Spectrum
Terms
- Pauli Exclusion Principle
- No two electrons in an atom can have the same four quantum numbers.
- Pauli’s Principle prevents two electrons with the same spin from existing in the same subshell, each subshell will be filled with one spin direction before they are filled with the opposite spin. This is the second of Hund’s Rules.
- Aufbau Principle
- This pattern of orbital filling is known as the aufbau principle (the German word aufbau means “build up”).
- Hund’s rule
- When filling degenerate orbitals, electrons fill them singly first, then with parallel spins.
- I.e. start by filling boxes with single 'upward' arrows, and then once all of such boxes are maxed out, then you add double arrows pointing in opposite directions.
- Pauli’s Principle prevents two electrons with the same spin from existing in the same subshell, each subshell will be filled with one spin direction before they are filled with the opposite spin. This is the second of Hund’s Rules.
- Coulomb’s Law
Aufbau Principle
Hund’s rule
Pauli's Exclusion Principle
Each election has a unique set of four quantum numbers (i.e. see quantum numbers). They are
Overview
Formulas
Values
Name | Symbol | Unit | Description | Range |
---|---|---|---|---|
Wavelength | Any unit for distance | Distance between two analogous points | Always Positive | |
Frequency | or (nu) | Number of cycles | Always Positive | |
Energy | (joule) | Amount of energy () in a light packet |
Constants
Name | Symbol | Unit | Value |
---|---|---|---|
Speed of Light | |||
Planck's constant |
|
Other Formulas
de Broglie Relation
Heisenberg's Uncertainty Principle
Where
- is the uncertainty in position.
- is the uncertainty in velocity.
- is the mass of the particle.
- is the plank's constant.
In general it states that the more you know about an electrons position, the less you know about it's velocity.
Energy of an Electron in an Orbital with Quantum Number in a Hydrogen Atom
Energy of an Electron in an Orbital with Quantum Number for any atom
Where is the atomic number of the given element.
Change in Energy That Occurs in an Atom When It Undergoes a Transition between Levels (Further Details)
and
- If is negative, energy is being released.
- If is positive, energy is being absorbed.
Ionization Energy
Where
- is the electron number
- the point on the table where you see the highest difference/delta.
Atomic Spectroscopy
The Principal Quantum Number (n) (Hydrogen Atom)
For the hydrogen atom, the energy of an electron in an orbital with quantum number is given by
Therefore the difference in energy is given by the following
The Principal Quantum Number (n) (Any Atom)
For the hydrogen atom, the energy of an electron in an orbital with quantum number is given by
TODO
Where is the atomic number of the given element.
Electron Configuration
Examples
Electron configuration for
Since the electron configuration for Argon is
Electron configuration for
Beginning with the electron configuration for
Remove the electrons from the term with the higher electron state. Warning! Do not just remove the electrons from the rightmost term since the rightmost term may be a lower electron state. For instance given
- is in a higher electron state
- is in a lower electron state
Alternatively, to compute the lowest energy orbital, add the principle quantum number () to the The angular momentum quantum number () to get the orbital with the lowest energy. Therefore
Given and
NVM this is an exception to the rule...
TODO move this somewhere else...
As shown
Therefore the electron configuration for is:
Electron configuration for
It would appear that the electron configuration for would be
But this is wrong! It's actually
How-tos
What are the valence electrons?
Given
The valance electrons will be the ones in the highest energy state. Therefore
Therefore there are valence electrons.
Given
The valance electrons will be the ones in the highest energy state. Therefore
Therefore there are valence electrons.
Quantum Numbers
Overview
Symbol | Description |
---|---|
The principle quantum number | |
The angular momentum quantum number | |
The magnetic quantum number | |
The spin quantum number |
The Principle Quantum Number ()
Value of | Value of | Orbital Sublevel |
---|---|---|
Angular Momentum Quantum Number
Value | Result |
---|---|
Value of | Value of |
---|---|
Summary
Useful Formulas
The equation for a maximum number of electrons a given energy level can hold given some value for
How many orbitals are possible given some value for
Examples
Light
Interference and Diffraction
Constructive Interference
If two waves of equal amplitude are in phase when they interact—that is, they align with overlapping crests—a wave with twice the amplitude results. This is called constructive interference.
Destructive Interference
If two waves are completely out of phase when they interact—that is, they align so that the crest from one overlaps with the trough from the other—the waves cancel by destructive interference.