n - Wits Structural Chemistry

ExampleWhat is the wavelength of an electron (m = 9.11 x 10 -31 kg)traveling with a speed of 0.01 c (1% speed of light)?NB: J = kgm 2 s -2= 6.626 × 10 -34 Jsλ = hmv9.11 × 10 -31 kg × 0.01 × 2.998 × 10 8 ms -1= 2.212 × 10 -10 m= 0.221 × 10 -9 nm (Wavelength compares to that of X-rays)Compare to wavelength of a ball (m = 100 g; v = 30 m s -1 )?λ = hmv= 6.626 × 10 -34 Js100 × 10 -3 kg × 30 ms -1= 2.209 × 10 -34 m(Wavelength is extremely small)The wavelength property of matter is only important forvery small particles traveling at very high speed.