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Matter is a Wave

Matter is a Wave. Does not apply to very large objects I.e. - things bigger than an atom A baseball has a wavelength of about 10 - 32 m when moving 30 m/s An electron moving at 30 m/s has a wavelength of 10 - 3 cm It is big enough to measure for tiny particles. de Broglie equation.

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Matter is a Wave

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  1. Matter is a Wave • Does not apply to very large objects • I.e. - things bigger than an atom • A baseball has a wavelength of about 10-32 m when moving 30 m/s • An electron moving at 30 m/s has a wavelength of 10-3 cm • It is big enough to measure for tiny particles

  2. de Broglie equation • Describes wave characteristics of particles • momentum = mass•velocity • = m • v Planck’s constant  = momentum h h = 6.626 x10-34 J•s  = J=kg•m2/s2 m • v mass in kilograms!!!

  3. h  = 6.626 x10-34 J•s m • v  = 9.11 x 10-31 kg • 5.97 x106 m/s  = 1.22 x10-10 m = 1.22 Å = 0.122 nm Example problem Calculate the wavelength ( ) of an electron (e-) traveling with a velocity of 5.97 x106 m/s. Angstrom = 10-10 m me- = 9.11 x10-28 g

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