Supplementary Sheet

Potentially Useful Information

1 Hertz = 1 Hz = 1 s-1 = 10-6 MHz 1 J = 1 kg m2 s-2 1 m = 106 µm =109 nm = 1012 pm = 1010 Å h = Planck's constant = 6.626 × 10-34 J s NA = Avogadro's number = 6.022 × 1023 mol-1 c = speed of light = 3.00 × 108 m s-1 1 amu = 1 u = atomic mass unit = 1.66 × 10-27 kg

electron mass = 9.11 × 10-31 kg proton mass = 1.67 × 10-27 kg ao = Bohr radius = 0.53 Å RH = Rydberg constant = 2.18 × 10-18 J 1eV = 1.60 × 10-19 J

For one-electron species: Particle in a one dimensional box:

En = –2.18 × 10-18 2

2

Z

nJ E

n=

h2n

2

8mL2 (n = 1, 2, 3, etc.)

Cartesian and Spherical Polar Coordinates: