Carbon makes four bonds and bonds strongly to itself, so it can build chains, branches and rings of any length. That's why there are millions of organic compounds and only a few thousand of everything else put together.
A molecular formula only counts atoms: C₄H₁₀. A structural formula draws every atom and bond. A condensed formula writes each carbon with its hydrogens in a line: CH₃CH₂CH₂CH₃ is butane. Different molecules can share a molecular formula, so chemists draw structures.
The skeletal (line) formula is the shorthand everyone uses. Each line is a bond, each corner and each line end is a carbon, and hydrogens on carbon aren't drawn: you fill in enough to give each carbon four bonds. Other atoms (O, N, Cl) and the hydrogens on them are written in. A zigzag of three lines is four carbons, butane.
The shape follows the bonds. A carbon with four single bonds points them to the corners of a tetrahedron, about 109.5° apart, so chains are really zigzags. A carbon with a double bond is flat, about 120°; one with a triple bond is straight, 180°.
Six carbons in a ring with alternating double bonds make benzene, C₆H₆, drawn as a hexagon with a circle or three double bonds inside. Its electrons are shared around the whole ring, which makes it unusually stable. Rings like it are called aromatic.
Practice
A skeletal formula is a zigzag of four lines with nothing else written. How many carbon atoms is that?
More info
Quick reference
Molecular formula
Counts atoms: C₄H₁₀.
Condensed formula
CH₃CH₂CH₂CH₃
Skeletal formula
Corners and ends are C; H on C not drawn.
Tetrahedral
4 single bonds, ≈ 109.5°
Trigonal planar / linear
Double bond ≈ 120° / triple 180°
Aromatic
Benzene-like ring of shared electrons.
The other chemistry and chemical engineering courses