These will be in no particular order, but I use these frequently, so here's a guide for what they mean/are/do. It will be a living document, and If I can pin it I will, thus, it will be continually updated. These are what I know offhand. Ready? Lets go
Weather Types and Modes
Squall line/line of thunderstorms/linear modes: On a radar, these will form a literal line, with the highest precipitation rates being a thin, but long sliver typically oriented north-south. They are formed by cold fronts or troughs, and may occasionally be tilted diagonally.

Bow Echo: A subset of a squall line, these appear as an archers bow on a radar, instead of a clean north-south, they are shaped like a backwards C. These typically form along the edges of high pressure systems.

Derecho: These are long lived squalls/bow echos that require a continuous damage path of 400+ miles, a width of 60 miles, and widespread 58 mph+ (rounded up to 60 mph) wind gusts, with a concentration of 75 mph winds. They can be: Bows, Lines, or hybrid (a huge line with bows embedded inside it)
Multi-cell modes: A lone thunderstorm/cumulonimbus (cb) is a single cell, a multi cell is a cluster of these grouped together. There are multiple updrafts, and they may or may not move as a single unit. These are common when there are no or little steering currents.
Single cell modes: A single cumulonimbus.
Supercell: A cumulonimbus that is rotating due vertical wind shear (i.e wind movement changing direction with altitude), these may or may not generate tornadoes.
Tornado: A vertical column of "wind" that extends from the base of a supercell, they spin counterclockwise in the northern hemisphere and clockwise in the southern hemisphere. They are ranked by the Fujiwahara scale: EF0-EF5, which is derived from a combination of wind speed and damage, with damage dealt being a primary factor.
Hurricane/cyclone/typhoon: A large scale, closed low that features a ring of powerful, tall thunderstorms rotating around the low, and is usually a spiral, with the following strength categories: Non hurricane (but still requires a totally closed low): Tropical depression, tropical storm. Hurricane: category 1-5, (category 3+=major hurricane).
Atmospheric phenomena
Low Pressure: Air rises, pressure at the center of it is lower than the surrounding areas, the airmass is less "compacted", thus lower pressure, these rotate counterclockwise in the northern hemisphere, clockwise in the southern hemisphere, these bring: storms, clouds, decay of high pressure regimes, troughs and are the opposite of...
High pressure areas/anticyclone: Air sinks, pressure at the center is higher than the surrounding areas, the airmass is more "compacted", this higher pressure, these rotate clockwise in the northern hemisphere, counterclockwise in the southern hemisphere, they bring: heat waves, droughts, cloudless skies, steering for tropical cyclones. These can be evicted by
Troughs: an elongated area of mostly low air pressure, and can be formed by kinks in the jet stream, or by the lows themselves, but are not typically associated with fully closed off lows. They can either be shortwave: tight, small scale wavelength, or longwave: large scale, long, slow moving and u shaped. Deep: extending far south or shallow.
Kinematics
Air Parcel: An imaginary, and small volume of air used to measure various quantity like precipitation, temperature, etc.
Buoyancy: Upward (or sometimes downward) force on an air parcel caused by a difference in density vs the surrounding air. Highly bouyant= more aggressive vertical movement of an air parcel through the atmosphere
CAPE: This stands for Convective Available Potential Energy measured in Joules/kilogram (J/kg), this measures the amount of energy that is available in a given area that can be utilized by atmospheric processes, the higher the value, the more energy present, the more unstable the atmopshere is, the more rapid that thunderstorm development can initiate. 0 J/kg is stable, 3500 J/kg is extremely unstable. There are a few types:
SBCAPE: Surface Based CAPE- Instability in the troposphere
MUCAPE: Most Unstable CAPE- Instability of the most bouyant parcel of air
DCAPE: Downburst CAPE- Max energy of a descending parcel of air, relevant for microbursts
CINH: Convective Inhibition-measured in (-)J/Kg, represents the amount of energy required to initiate convective development, if CINH < total CAPE, storms do not form.
i.e CINH = -3500 J/kg, and CAPE is 1,250 J/kg, storms cannot initiate in that moment.
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