add: v1 to v2
subtract: v2 from v1
multiply: v1 by v2
divide: v1 by v2
square: v1
cube: v1
factorial of v1
sqrt: of v1

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 electroon :
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