I didn't do this right the first time - but instead calculate the light frequency and got 2.14 x 10¹⁰ Hz. Rotation
frequency should be 2pi times this, but I need to double check.

3.5
m_hcl = 1.56 x 10^-27 kg
m_co = 1.14 x 10^-26 kg

k_hcl = 4.78 kg s^-2
k_co = 1907 kg s^-2

nu_hcl = 8.81x10¹² s^-1
nu_co = 6.51 x 10¹³ s^-1


3.6
P = 15.7 mbar, or about 30 km, for CO
P = 65-75 km for O2

3.7
Note -specific humidity (q_s) is a ratio of water vapor density to air density (sorry if you read something else here previously).
And assume that e_s doesn't mean relative humidity, but rather, absolute humidity. The relationship between the two is
that qs = es x epsilon/P where epsilon is the ratio of molecular mass of H2O (18) to that of air (28.9) and P is air pressure.
If this isn't what the author means, it's relatively easy to convert to relative humidity if you know the saturation vapor pressure,
but that seems like more work that he is really asking for.


SST is sea surface temperature - jargon - and precipitable water means the height of liquid water if it were to fall (that is,
5 cm, or whatever). Note, density of water is 1 g cm^-3 and you can assume that you are integrating over a column that has
a 1 cm² footprint.

3.8
Optical path is the product of cross section (sigma), concentration of water (mixing ratio x concentration of air) and path length.
Without frequency, we can't calculate this out to a number - so leave an expression that depends on the cross section.

3.9
364 DU - see above (page 11)