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

ValuePrefixSymbol
deca
hecto
kilo
mega
giga
tera
ValuePrefixSymbol
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

PrefixValue
mono-
di-
tri-
tetra-
penta-
PrefixValue
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

PrefixPrefix Meaning

(relative to suffix)
SuffixOxygen OrderExample
FormulaName
Per-More than-ateHighest #Perchlorate
-ateHigher #Chlorate
-iteLower #Chlorite
Hypo-less than-iteLowest #Hypochlorite
Oxygen vs No-Oxygen Comparison
PrefixSuffixMeaningExampleName
Per--ate or Persulfate
-ateSulfate
-iteSulfite
Hypo--iteHyposulfite
-ideNo oxygennon-metalSulfide

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-ateUsed in the ion with the largest number of oxygen atoms
-ate-itePolyatomic ions of oxygen
hypo-iteUsed in the ion with the lowest number of oxygen atoms
-ideNon-metal, no oxygens

Determining The Charge

Warning

Phosphate () is the only one that violates this rule!

Example for Nitrate
Example for Cyanide
Example for Oxalate
Example for Hydrogen Carbonate
Source
Ionic Lewis Structures
Ionic Lewis Structures
Examples
Lewis structure for sulfate ion

Notes

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

NameSymbolUnitDescriptionRange
WavelengthAny unit for distanceDistance between two analogous pointsAlways Positive
Frequency or (nu)Number of cyclesAlways Positive
Energy(joule)Amount of energy () in a light packet

Constants

NameSymbolUnitValue
Speed of Light
Planck's constant
  • Energy multiplied by time
  • joule-seconds

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

Traditional Chart
Better Method
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
SymbolDescription
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
ValueResult
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.