radius: Bohr atom radius:
r = a0 n2 /Z
a0 = 0.5 Angstrom.
v1 = Z
v2 = n
energy: Bohr electron energy:
E = - 13.6 (Z2/n2) eV
v1 = Z
v2 = n
speed: Bohr electron speed:
v (electron) = 2.2 x 106 Z/n (m/s)
v1 = Z
v2 = n
wavelength: Transition wavelength:
λ = 91.1 /Z2(1/ni2 - 1/nf2 )] (nm)
v1 = Z
v2 = ni
v3 = nf
deBroglie: De Broglie wavelength :
λ = h/p
v1 = Particle's mass
v2 = Particle's speed
moseley: K Transition Moseley's wavelength :
1/lKα = R (Z - 1)2 [1/12 - 1/22] =
(3R/4)(Z - 1)2 for Kα
Or 1/K = R (Z - 1)2 [1/12 - 1/n2]
Ry = 1 Rydberg = 1.0974 x 107 m-1
v1 = Z
v2 = n
photoelectric: Max speed of photoelectric electron :
hν = hc/λ = W + mv2/2
v = sqrt((2/m)(hν/l - W))
hc/λ = 12.41 x 102/l(nm) eV
2 x 1.6 10-19/9.1094 10-31= 0.351 1012
v1 = wavelength of photon projectile in nm
v2 = element