Fundamentals of
Quantum Mechanics

Contents

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### Quantum Calculator

 v1 v2 v3

### Result:

 User guide: 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

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