A 510 thread battery or cartridge is the type/size.

A 510 thread battery is the generic type of vape pen battery that works with generic vape weed oil cartridges.

A 510 thread cartrdige works with a 510 thread battery.

Weed oil vape batteries and weed oil vape cartridges can both both referred to as 510.

Other types of vape batteries and carts that are not 510 are referred to as proprietary.