Louis de Broglie The 1929 Nobel Prize in physics “For his discovery of wave nature of electrons
Louis de Broglie The 1929 Nobel Prize in physics “For his discovery of wave nature of electrons
The Wave Behavior of Matter de Broglie wave: h The wavelength(A)of a particle depends on its mass (m)and velocity (v). mV Ex.1:Calculate the wavelength of a tennis ball of mass 200g traveling at a velocity of 25 m/s. 6.626×10-34Js = h mv (0.2kg)×(25m/s) = 6.626×10-34(kg·m2.s2)s (0.2kg)×(25m·s) 元=1.3×10-34m Undetectable small
The Wave Behavior of Matter Ex. 1: Calculate the wavelength of a tennis ball of mass 200g traveling at a velocity of 25 m/s. m v h λ = de Broglie wave: The wavelength(λ) of a particle depends on its mass (m) and velocity (v). traveling at a velocity of 25 m/s. 34 6.626 10 v (0.2 ) (25 / ) h s J m kg m s λ − × ⋅ = = × 1 34 2 2 6.626 10 ( ) (0.2 ) (25 ) s kg m s kg m s λ − − − × ⋅ = × ⋅ ⋅ ⋅ 34 λ 1.3 10 m − = × Undetectable small
Electromagnetic Spectrum Gamma Ray X-Ray Ultraviolet Visible Infrared Microwave Radio Wave Type WWAA/ Gamma Ultraviolet Infrared Rays X-Rays Rays Rays Radar FM V Shortwave AM 1x1014 1x1012 1x108 1x104 1×102 1×102 1x104 Wavelength (in meters) Visible Light 400nm 500nm 600nm 700nm Wavelength
Electromagnetic Spectrum
The Wave Behavior of Matter de Broglie wave: h = mv Ex.2:Calculate the wavelength of an electron with mass of 9.0x10-31 kg traveling at 2/3 the speed of light (3.0x108 m/s) h 6.626×10-34J5 = mv (9.1x10kg)x3×3.0×10m/s) 6.626×10-34(kgm2.82)s (9.1×10-1kg)×(2.0×103m/s) =3.64×10-12m=0.00364nm ---X ray
The Wave Behavior of Matter Ex.2: Calculate the wavelength of an electron with mass of 9.0×10-31 kg traveling at 2/3 the speed of light (3.0×10 8 m/s) m v h de Broglie wave: λ = 34 h s 6.626 10 J λ − × ⋅ = = 31 8 6.626 10 v 2 (9.1 10 ) ( 3.0 10 / ) 3 h s kg J m m s λ − × ⋅ = = × × × × 34 2 2 31 8 6.626 10 ( ) (9.1 10 ) (2.0 10 / ) kg m s s kg m s − − −× ⋅ ⋅ ⋅ = × × × 12 λ 3.64 10 0.00364 m nm − = × = ---X ray
Electromagnetic Spectrum Gamma Ray X-Ray Ultraviolet Visible Infrared Microwave Radio Wave Type WWAA/ Gamma Ultraviolet Infrared Rays X-Rays Rays Rays Radar FM V Shortwave AM 1x1014 1x1012 1x108 1x104 1×102 1×102 1x104 Wavelength (in meters) Visible Light 400nm 500nm 600nm 700nm Wavelength
Electromagnetic Spectrum