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Electromagnetic Spectrum and Quantized Energy Why the electron is what it is What is a wave? A wave is a transfer of energy from one point to another via a traveling disturbance A wave is characterized by its wavelength, frequency, and amplitude Transverse Waves that travel perpendicular to the direction of motion Examples: Light, -p waves for earthquakes, Ocean waves Wavelength (λ) Distance from successive crest to crest or trough to trough Measured in meters Frequency Number of crests passing by per second Measured in Hertz (Hz) defined to be one cycle per sec Equal to the inverse of the amount of time it takes one wavelength to pass by Wave Speed Traveling Waves move through space at a certain speed f v Where, v is the speed of the wave (m/s) λ is the wavelength in meters (m) f is the frequency in Hertz (cycle/s) Matter / Quantum Waves Electrons and other tiny particles show wave-like properties A particle moving close to the speed of light (c) can diffract or bend around the edges of objects Also, particles do exhibit interference which is a wavelike property Any moving matter has wave characteristics in theory BUT the wavelength of any life-size particle, like a golf ball, is so small that it is negligible To learn about matter waves in depth go on to the next slide. If we can sometimes consider an electron to be a wave, what is its wavelength? Its wavelength depends on its momentum p or h h mv where p is momentum in kg*m/s, h is Planck’s constant = 6.63 x 10-34 J, and λ is the wavelength in meters What is Planck’s constant? Planck’s Constant is the size where quantum mechanics becomes necessary Since "Planck's Constant" (‘h’= 6.63 x 10 34 Js) is such a tiny number, quantum mechanics is needed only at very small scales An electron also has spin that is quantized in units of h. These units (Joule-sec) are units of angular momentum Electromagnetic Waves Waves of energy emitted from any accelerating charges Any object that is above absolute zero emits electromagnetic waves The entire range of possibilities is called the “Electromagnetic Spectrum” Still confused? Then click What are electromagnetic waves? To learn about the wavelength of photons click to the next slide. Electromagnetic Waves Wavelength is : c hc f E Where, c is the speed of light (3 x 108 m/s in a vacuum) λ is the wavelength in meters f is the frequency in Hertz And h is Planck’s constant (there it is again- do you remember its value?) E is the energy of a photon in Joules What is this “photon” term you’re throwing in there? A photon is a bundle (quantum) of light A photon has energy equal to E h Recall that h is Plank’s constant ν is the frequency of the radiation (wave) What does a photon do? Both magnetic and electric forces involve the exchange of photons The photon has zero rest mass, but has momentum, can be deflected gravity, and can exert a force X-RAYS Emitted when an electron moves from certain excited states back down to its ground state, or when an electron that is moving very quickly is suddenly stopped Two groups - long wavelength (soft x-rays) and shorter wavelength (hard x-rays) Used for radiography (xray photography) and to look at materials in industry for defects Sources: emitted by heavy atoms after bombardment by an electron Above the color violet Three groups - UV A, UV B, and UV C. “A” type: longest wavelength; least harmful UV B and UV C are absorbed by DNA in cells Used by the body to produce vitamin D, to kill bacteria on objects, and for sun tanning Sources: Ultra hot objects 5000°C or more ULTRAVIOLET VISIBLE LIGHT White light: combination of all the colors Rainbow: example of white light that has been separated into a continuous spectrum of colors The names of colors are assigned in order of their wavelengths Used for communications (fiber optics) Sources: very hot objects Color Wavelength interval Frequency interval red ~ 625 to 740 nm ~ 480 to 405 THz orange ~ 590 to 625 nm ~ 510 to 480 THz yellow ~ 565 to 590 nm ~ 530 to 510 THz green ~ 520 to 565 nm ~ 580 to 530 THz cyan ~ 500 to 520 nm ~ 600 to 580 THz blue ~ 430 to 500 nm ~ 700 to 600 THz violet ~ 380 to 430 nm ~ 790 to 700 THz INFRARED Thought of as heat but is not always Far infrared energy is heat energy. All objects that have warmth radiate infrared waves Easily absorbed and re-radiated. Used in remote controls, surveillance, therapy of muscles Sources: Humans, the sun MICROWAVES 1 mm-1 dm in length Absorbed by water molecules – how microwave ovens heat food Used in telecommunications and power transmission Sources: electric circuits, many stars, microwave ovens 10 cm100,000+m in length Only cosmic waves the reach the surface of the Earth Cause of noise Divided into smaller frequency dependent groups called bands Used for communications Sources: transmitt ers and sparks from motors RADIO WAVES So What is this Quantum Thing? A Quantum is the Energy required to jump an Electron from one orbit to another.