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3-1 AS III Electromagnetic Radiation (EMR) 3-2 Modern Structure of Atom concerned mostly w/ location & energy of e–’s experimental basis: Physics Background Info spectroscopy = • Wave Nature of EMR interaction between matter & • Particulate Nature of EMR Ref 7: 1 Prob FUP: 7: 1, 2 E of C: 7: 1 - 16 EMR (“light ....”) NB. EMR has wave & particle properties Adv Rdg 7: 2, 3 3-3 Background on Wave Physics HT Fig. 3.1 3-4 Traveling Wave Variables After 1 period (at t = 1T) wave has gone through 1 cycle, has traveled 1 wavelength (λ) def. of frequency: general, for 1 cycle # of cycles , time 1 = T ν = velocity of wave: distance time λ = T = λν v = m check units: “ s ”= “m” “s–1” 3-5 Important Characteristics of Waves 3-6 HT Fig. 3.2 1) Diffraction & Interference see HT Fig. 3.2 – 3.5; also SB Fig. 7.4 – 7.5 1-1 Diffraction • at “slit”, “edge” new wave is generated in all directions • slit should be of same size as wavelength • edge should be sharp HT Fig. 3.3 1-2 Interference trains of waves interact: • “in-phase” combination (“crest meets crest”) constructive interference amplitude ↑ • “out-of-phase” combination (“crest meets trough”) destructive interference cancellation of wave (“darkness”) 3-7 HT Fig. 3.4 3-8 HT Fig.3.5 3-9 Pet. Fig. 8.5 3-10 2) Refraction/Dispersion 2-1 Refraction light rays are bent at boundary of media (e.g., at air-to-glass boundary, rays are bent towards normal) 2-2 Dispersion different λ’s are bent to diff. extent allows separation ( & isolation) of diff. λ’s ( e.g., red’s, green’s, ...) 3-11 HT Fig 3.6 3-12 EMR as Wave Phenomenon EMR consists oscillating of electrical & magnetic fields which travel in wave fashion see Pet Fig. 8.2 Note: travel speed is same for all λ’s of EMR c = “speed of light” in vacuum m = 2.998 × 108 s km ≈ 300 000 s value very close for travel in air 3-13 Pet. Fig. 8.2 3-14 Classification of EMR • wavelengths (λ’s) range from 10–16 m ..... 10+8 m • most relevant for CHEM101/3 is “light” ultraviolet UV visible VIS infrared IR approximately < 400 nm 400 - 800 nm > 800 nm VIBGYOR (reverse of Roy G. Biv) for details see Pet. Fig.8.3 3-15 Pet. Fig. 8.3 3-16 Particulate Nature of EMR (Evidence of Quantization of EMR Energy) (1. Blackbody Radn: skip) 2. Photoelectric Effect Basic Experimental Set-up (SB Fig. 7.7) vary ν, observe current I can determine when electrons are released also KE of released electrons 3-17 3-18 photoelectric effect ..... Pet. Fig. 8.12 Pet. Fig. 8.12 shows more sophisticated set-up includes grid for “counter voltage”, Vs , which can be adjusted to prevent current I in turn, Vs , is used to determine KE of e–’s (physics) important: KE of e–’s is prop. to Vs 3-19 photoelectric ...... 3-20 photoelectric ...... Interpretation Observations • νo = min. frequency requ to release e • at higher ν, ΚΕ of e– ↑ • at lower ν, no e ’s are released, d • at metal surface (at C), e– ’s are held by “binding energy”, “work function, Φ ” • light ( or EMR in general) – – does not come as a diffuse package of energy, no matter how intense the radiation but rather as individual energy particles = “photons” • each individual photon must have sufficient energy to liberate an e– • energy of photon: E = hν Planck equn where h = 6.63 × 10–34 Js 3-21 interpretation ..... • 3-22 Main Message photons with νo ( → Eo) have the min. energy to release an e– • EMR (“light”) energy does not come as a “diffuse wave”, but rather as an assembly of discrete, small energy packets = photons • thus EMR has “particulate character” Φ = Eo = hνo • if ν > νo then xs energy is converted to KE of e– Overall, EMR has dual nature: KE = E – Eo = h (ν – νo); i.e., this relationship can be used to predict KE of e– it has wave characteristics ( e.g., interference phenomenon) & particulate characteristics ( e.g., photoelectric effect) 3-23 Summary of Lesson AS III • terms & symbols: wavelength, frequency, period, velocity • v = λν • definition/description of diffraction/interference • definition/description of refraction/dispersion • electromagnetic spectrum: γ rays – radio waves • sequence of colors in visible light • photoelectric effect: experimental setup, results and interpretation • Planck equn : E = hν • EMR has wave & particle nature • HMWK 2.1 – 2.4