Bohr model

n|n|Principal quantum number (n>0)|1
Z|Z [protons]|Number of protons in the nucleus|1
me|me [kg]|Electron mass|9.1093837015E-31
qe|qe [C]|Elementary charge (pronton charge, inverse of electron charge)|1.602176634E-19
ep0|ep0 [N*(m^2)/(C^2)]|Vacuum electric permittivity|8.8541878128E-12
h|h [J*s]|Planck constant|6.62607015E-34
c|c [m/s]|Speed of light|299792458

L|L [kg*m^2/s]|Angular momentum of electron (by definition of principal quantum number)|n*h/(2*Pi)
r|r [m]|Radius of circular orbit of electron|(ep0*n^2*h^2)/(Pi*Z*me*qe^2)
v|v [m/s]|Velocity of electron|(Z*qe^2)/(2*n*h*ep0)
vc|v [c]|Velocity of electron divided by speed of light|v/c
Fe|Fe [N]|Force on electron due to electric field (Coulomb law)|-(Z*qe^2)/(4*Pi*ep0*r^2)
T|T [J]|Kinetic energy of electron|(1/2)*me*v^2
U|U [J]|Electric potential energy of electron U(r) with U(infinity)=0|-(Z*qe^2)/(4*Pi*ep0*r)
Em|Em [J]|Kinetic energy plus electric potential energy of electron|T+U

2020-10-18