IBDP Formulas
IBDP Formula Booklet
Annotated formula booklet for quick reference for the IBDP curriculum.
Formulas
Metric (SI) Multipliers
| Prefix | Abbreviation | Value |
|---|---|---|
| peta | P | 1015 |
| tera | T | 1012 |
| giga | G | 109 |
| mega | M | 106 |
| kilo | k | 103 |
| hecto | h | 102 |
| deca | da | 101 |
| deci | d | 10-1 |
| centi | c | 10-2 |
| milli | m | 10-3 |
| micro | μ | 10-6 |
| nano | n | 10-9 |
| pico | p | 10-12 |
| femto | f | 10-15 |
Physical Constants
| Quantity | Symbol | Approximate value |
|---|---|---|
| Acceleration of free fall | g | 9.8 ms-2 (Earth's surface) |
| Gravitational constant | G | 6.67 × 10-11 Nm2 kg-2 |
| Avogadro constant | NA | 6.02 × 1023 mol-1 |
| Gas constant | R | 8.31 JK-1 mol-1 |
| Boltzmann constant | kB | 1.38 × 10-23 JK-1 |
| Stefan-Boltzmann constant | σ | 5.67 × 10-8 Wm-2 K-4 |
| Coulomb constant | k | 8.99 × 109 Nm2 C-2 |
| Permittivity of free space | ε0 | 8.85 × 10-12 C2 N-1 m-2 |
| Permeability of free space | μ0 | 4π × 10-7 TmA-1 |
| Speed of light in vacuum | c | 3.00 × 108 ms-1 |
| Planck constant | h | 6.63 × 10-34 Js |
| Elementary charge | e | 1.60 × 10-19 C |
| Electron rest mass | me | 9.110 × 10-31 kg = 0.000549 u = 0.511 MeVc-2 |
| Proton rest mass | mp | 1.673 × 10-27 kg = 1.007276 u = 938 MeVc-2 |
| Neutron rest mass | mn | 1.675 × 10-27 kg = 1.008665 u = 940 MeVc-2 |
| (Unified) atomic mass unit | u | 1.661 × 10-27 kg = 931.5 MeVc-2 |
| Solar constant | S | 1.36 × 103 Wm-2 |
| Fermi radius | R0 | 1.20 × 10-15 m |