# Rick's Cheat Sheet

## Energy Conversion Factors

1 kcal/mol =
• 0.04336 eV
• 0.00159 h
• 349.75 cm-1
• 6.948e-14 erg
• 4.184 kJ/mol
1 eV =
• 23.06 kcal/mol
• 0.03675 h
• 8065.6 cm-1
• 1.602e-12 erg
1 h =
• 627.51 kcal/mol
• 27.212 eV
• 219,474.6 cm-1
• 4.36e-11 erg
• 2 Ry
1 erg =
• 1.439e13 kcal/mol
• 6.2415e11 eV
• 2.2937e10 h
• 5.034e15 cm-1

## 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

 Length Bohr radius, a0 0.52918 A Force Constant 1 au 1.5569e6 dyn/cm Mass au, me 9.1095e-31 kg 5.5e-4 amu amu, m(12C)/12 1.66e-27 kg 1822 au Time au 2.4189e-17 s Dipole Moment au 2.54 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