# Units and Constants

[latexpage]

Here is a table of SI units for various quantities. I’ll probably update this as I come across new variables (I haven’t even really touched on thermodynamic variables lol). I’ll post a table of important constants up here in the near future 🙂 Also I typed this table up pretty quickly so let me know if you see any typos and/or mistakes!

Note: two fundamentally different physical quantities can have the same units of measurement (e.g., torque and work both have units in $\mathrm{Nm}$)

## Natural Constants

• Angstrom: $1 \mathrm{\AA} = 10^{-10} \mathrm{m} = 10 \mathrm{nm}$ (atomic scale)
• Astronomical unit (i.e., distance between Earth and Sun): $1 \, \mathrm{AU} = 150 \cdot 10^9 = 93$ million miles
• From $E = m\mathrm{c}^2$ and $\mathrm{eV} = 1.6 \cdot 10^{-19} \mathrm{J}$
• Mass measurement: $1 \, \frac{\mathrm{eV}}{\mathrm{C^2}} = 1.782662 \cdot 10^{-36} \mathrm{kg}$
• Momentum measurement: $1 \, \frac{\mathrm{eV}}{\mathrm{C}} = 5.344286 \cdot 10^{-28} \mathrm{kg \cdot m/s}$
• Temperature measurement: $1 \, \mathrm{eV/ k_B} = 1.604505 \cdot 10^{4} \mathrm{K}$
• Time measurement: $1 \, \mathrm{ \hbar / eV} = 6.582119 \cdot 10^{-16} \mathrm{s}$
• Distance meausrement: $1 \, \mathrm{ \hbar c / eV} = 1.97327 \cdot 10^{-7} \mathrm{m}$

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