research memo


constants

name value unit
pi 3.141592653589793238462643383279 -
light velocity (c) 2.99792458e+8 m/s
Planck constant (h) 6.62606876e-34 J.s
Dirac constant (hbar = h/2*pi) 1.054571596e-34 J.s
elementary charge (e) 1.602176462e-19 C
rest mass of an electron (m) 9.10938188e-31 kg
Boltzmann constant (k) 1.3806503e-23 J/K
dielectric constant (epsilon = e7/4*pi*c*c) 8.854187817e-12 (vacuum) F/m
refractive index, 15C 1atm atmosphere (n) 1.00028 (400nm - 800nm) -
1.00027 (800nm - 1300nm or longer) -

periodic table

pressure

units

1 [mbar] = 100 [Pa]
1 [Torr] = 133.322 [Pa]
1 [atm] = 101325 [Pa] 

table (3 significant digits)

Pa mbar Torr atm
1 [Pa] 1 0.01 7.50e-3 9.87e-6
1 [mbar] 100 1 0.75 9.87e-4
1 [Torr] 133 1.33 1 1.32e-3
1 [atm] 1.01e+5 1.01e+3 760 1

calculator

Temperature

units

K = 273.15 + C
F = 1.8*C + 32

calculator

Optical power

relation between [mW] and [dbm]

If
A: optical power in [mW]
B: optical power in [dbm]
then
B = 10 * log10 A
or
A = 10 ^ (B/10)

calculator

Weight

units

1[lb] = 0.45359237[kg]
1[oz] = 1/16[lb] = 28.3495[g]

table

kg lb oz
1 [kg] 1 2.2046 35.274
1 [lb] 0.45359237 1 16
1 [oz] 0.0283495 0.0625 1

force

g ~= 9.8[m/s^2]
g: gravitational acceleration on earth
therefore
1[kg] <--> 9.8[N] = 1[kgf]

calculator

electromagnetic wave

number-line of electromagnetic wave's units

Hartree unit

hbar = e = m = 1
kind value note
unit length 5.291772083e-11[m] Bohr raduis of hydrogen atom
unit time 2.4188843e-17[s] (the period in Bohr orbit)/2*pi
unit mass 9.10938188e-31[kg] rest mass of an electron
unit charge 1.602176462e-19[C] elementary charge
unit energy 27.211383[eV] (ionization energy of hydrogen atom)*2

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