Rick's Cheat Sheet

Energy Conversion Factors

1 kcal/mol = 1 eV = 1 h = 1 erg =

Colors of Light

Visible:

ColornmeVcm-1
Red 700 nm1.77 eV14,300 cm-1
Orange620 nm2.00 eV16,100 cm-1
Yellow580 nm2.14 eV17,300 cm-1
Green530 nm2.34 eV18,900 cm-1
Blue470 nm2.64 eV21,300 cm-1
Violet420 nm2.95 eV23,800 cm-1

All wavelengths

TypenmeVcm-1
Radio3e12 - 3e84e-10 - 4e-63e-6 - 3e-2
Microwaves3e8 - 3e64e-6 - 4e-43e-2 - 3
Far IR3e6 - 3e44e-4 - 4e-23 - 300
Near IR3e4 - 7004e-2 - 2300 - 15,000
Visible700 - 4202 - 315,000 - 24,000
Near UV420 - 3003 - 424,000 - 30,000
Vac UV300 - 34 - 40030,000 - 3e6
X-rays3 - 0.003400 - 4e53e6 - 3e9

Free Energies

del(G) = RT ln(K)
del(G1) - del(G2) = RT ln(K1/K2)
deldel(G) = 1 kcal/mol <=> K1/K2 = 5.4

K1/K2 = 10^1 <=> ddG = 1.36
K1/K2 = 10^2 <=> ddG = 2.76
K1/K2 = 10^4 <=> ddG = 5.53
K1/K2 = 10^6 <=> ddG = 8.29

del G = 1.36 * (pKa1 - pKa2)

Atomic Units

LengthBohr radius, a00.52918 A
Force Constant1 au1.5569e6 dyn/cm
Massau, me9.1095e-31 kg
5.5e-4 amu
amu, m(12C)/121.66e-27 kg
1822 au
Timeau2.4189e-17 s
Dipole Momentau2.54 D
8.478e-30 C-m

Miscellaneous

Force constants

1 dyn/cm = 1.44e-3 kcal/mol/A^2
1 Mdyn/cm = 1440 (kcal/mol)/A^2

Thermal

kT (298 K) = 9.4366 e-4 h
RT (298 K) = 2.4789 kJ/mol = 0.5925 kcal/mol

e^2 = 14.3998 eV-A = 332.059 (kcal/mol)-A