Astrophysical Links
Some useful links that I use everyday or every time I observe....
Astrophysical Constants
look also in:
Physical constants from
NIST
Exponent (base 10) of decimal numbers: e n = 10^n . Units are separated by spaces, positive numbers denote powers, all units to the right of the slash are in the denominator (negative powers).
Astronomy
Distances
1 AU (Astronomical Unit) = 1.496e11 m = 1.496e13 cm
1 pc (parsec) = 3.086e16 m = 3.086e18 cm
= 206265 AU
= 3.26 Light years
Sun
Radius 6.960e8 m = 6.960e10 cm
Mass 1.989e30 kg = 1.989e33 g
Luminosity 3.85e26 W = 3.85e33 erg
Surface gravity 2.736e2 m/s2 = 2.736e4 cm/s2
Temperature 5780 K
Absolute magnitude 5.72 mag (U)
5.54 mag (B)
4.87 mag (V)
4.74 mag (bolometric)
Magnitudes
mag1-mag2 = -2.5 log(flux_1/flux_2) -(mag1-mag2) 1 2.5 5 10 15 20 flux_1/flux_2 2.51 10 1e2 1e4 1e6 1e8 -(mag1-mag2) << 1 : -(mag1-mag2)+1 = flux_1/flux_2
Absolute calibration of photometry
Filter lambda flux density for 0 mag A/A_v band nm W/(m^2 hz^1) W/(nm m^2) U 365 1.81e-23 4.22e-11 1.531 B 440 4.26e-23 6.40e-11 1.324 V 550 3.63e-23 3.75e-11 1.000 R 720 2.94e-23* 1.70e-11 0.748 I 900 2.24e-23* 0.83e-11 0.482 Rc 640 3.08e-23 2.25e-11* 0.830 Ic 790 2.55e-23 1.22e-11* 0.628 J 1250 1.60e-23* 3.07e-12 0.282 H 1650 1.09e-23* 1.20e-12 0.175 K 2200 6.49e-24 4.10e-13 0.112 L 3500 2.61e-24* 6.40e-14 0.058 M 4800 1.46e-24* 1.90e-14 0.023 u 350 1.33e-23* 3.25e-11 v 410 4.03e-23* 7.18e-11 b 470 4.28e-23* 5.81e-11 y 550 3.73e-23* 3.70e-11 (*: calculated from other column; otherwise F_nu and F_lambda from different sources and therefore inconsistent, differences around 5 percent)
Physics
Gravitational constant G
G = 6.6732e-11 m3/kg s2 = 6.6732e-8 cm3/g s2
Speed of light c
c = 2.99792458e8 m/s = 2.99792458e10 cm/s
Planck constant h
h = 6.6260755e-34 J s = 6.6260755e-27 erg s
h/(2 pi) = 1.05457266e-34 J s = 1.05457266e-27 erg s
Boltzmann constant k_B
k_B = 1.380658e-23 J/K = 1.380658e-16 erg/K
Planck radiation constant c_2
c_2 = 1.4338e-2 m K = 1.4339 cm K
Stefan-Boltzmann constant sigma
sigma = 5.6705e-8 W/m2 K4 = 5.6705e-5 erg/cm2 s K4
Gas constant R = N_A k_B
R = 8.3143 m2 kg/s2 K mol = 8.3143 erg/mol K
Avogadro number N_A
N_A = 6.0221367e23 1/mol
Elementary charge e
e = 1.60217733e-19 C = 4.8032e-10 E.S.E.
Atomic mass unit amu
1 amu = 1.66057e-27 kg = 1.66057e-24 g
Permeability of vacuum mu_0 ( = 4 pi e-7 T2 m3/J)
mu_0 = 12.566371e-7 T2 m3/J
Permittivity of vacuum epsilon_0 = 1 / (mu_0 c^2)
epsilon_0 = 8.854187817e-12 C2/J m
Rest masses
m_electron = 9.1093897e-31 kg = 9.1093897e-28 g
m_proton = 1.6726231e-27 kg = 1.6726231e-24 g
m_neutron = 1.6749286e-27 kg = 1.6749286e-24 g
Fine structure constant 1 / alpha
1 / alpha = 137.0359895
Compton wavelength of the electron lambda_e = h / (m_e c)
lambda_e = 2.42631e-12 m = 2.42631e-10 cm
= 2.42631e-2 A
Compton wavelength of the proton lambda_p = h / (m_p c)
lambda_p = 1.3214e-15 m = 1.3214e-13 cm
Charge-to-mass ratio for electron e / m_e
e / m_e = 1.75880e11 C/kg = 5.2728e17 E.S.E./g
Electron radius r_e
r_e = 2.81792e-15 m = 2.81792e-13 cm
Bohr radius a_0
a_0 = 5.29177e-11 m = 5.29177e-9 cm
Rydberg constant R_inf
R_inf = 1.0974e7 1/m = 1.0974e5 1/cm
= 1/911.27 A
Bohr radius a_0
a_0 = 5.29177e-11 m = 5.29177e-9 cm
Bohr magneton mu_B = eh/(4 pi m_e)
mu_B = 9.2740154e-24 J/T
Nuclear magneton mu_N = eh/(4 pi m_p)
mu_N = 5.0507866e-27 J/T
Free electron g factor g_e
g_e = 2.002319304386
Free electron gyromagnetic ratio gamma_e = 2 pi g_e mu_B / h
gamma_e = 1.7608592e11 1/s T
Electron magnetic moment mu_e = -(1/2) g_e mu_B
mu_e = -9.2847701e-24 J/T
Proton gyromagnetic ratio (H2O) gamma_p
gamma_p = 2.67515255e8 1/s T
Proton magnetic moment mu_p
mu_p = 1.41060761e-26 J/T
Proton-electron ratios
m_p/m_e = 1836.152701
mu_e/mu_p = 658.2106881
gamma_e/gamma_p = 658.2275841 (protons in water)
Molar volume V_mol
V_mol = 22.41383 m3/kmol
Faraday constant F = N_A e
F = 9.64846e4 C/mol
Proton g factor (Lande factor) g_H
g_H = 5.585
Acceleration due to gravity (Earth) g
g = 9.80665 m/s2
Atomic energy unit Hartree = e^2 /(4 pi epsilon_0 a_0)
1 Hartree = 2.625501e+06 J/mol
1 Hartree = 627.5 kcal/mol
Proton Larmor frequency nu_p = gamma_p/(2 pi) B
nu_p = 42.5764 MHz/T (H2O)
Electron Larmor frequency nu_e = gamma_e/(2 pi) g/g_e B
nu_e [GHz] = 13.9962 g B[T]
g = 0.07144775 nu_e[GHz]/B[T]
g = 3.04199 nu_e[GHz]/nu_p[MHz]
B [T] = 0.0234872 nu_p[MHz]
Last modified: 2005-April-20, by Peter Nugent