Electrons in Atoms Chapter 4
Electromagnetic Spectrum All waves move at speed of light, c, 3.00x108 m/s Waves identified by: wavelength, , the distance b/ corresponding points on adjacent waves. Units: nm, cm, or m Frequency, , # of waves that pass a given point in a specific time, 1 sec. Unit: 1/s = Hertz, Hz
Frequency () Measured in cycles/second = hertz (Hz)
Wavelength and Frequency Inverse proportion equation!! Frequency, 1/s speed of light, m/s wavelength, m
A photon of red light has a wavelength of 665 nm A photon of red light has a wavelength of 665 nm. What is the frequency of this light? 665 nm = 665 x 10-9 m c = • = c ÷ = 3.00 x 108 m/s ÷ 665 x 10-9 m = 4.511278 x 1014/s or Hz = 4.51 x 1014/s or Hz
An x-ray has a frequency of 7.25 x 1020 Hz. What is the wavelength? 7.25 x 1020 Hz = 7.25 x 1020/s c = • = c ÷ = 3.00 x 108 m/s ÷ 7.25 x 1020/s = 4.137931 x 10-13 m = 4.14 x 10-13 m
Energy of Electromagnetic Radiation For all waves: E = h • h = 6.63 x 10-34 J • s or J/Hz 8
A photon of red light has a wavelength of 665 nm A photon of red light has a wavelength of 665 nm. What is the energy of this light? 665 nm = 665 x 10-9 m c = • = c ÷ = 3.00 x 108 m/s ÷ 665 x 10-9 m = 4.511278 x 1014/s or Hz = 4.51 x 1014/s or Hz
Electromagnetic Spectrum What is the color of an electromagnetic radiation with an energy of 3.4 x10-19 J?