Full set of Notes with Fill-Ins - San Jose State University

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Chem 155 Unit 6 Page 120 of 316The Grating Equation (cont):For outgoing rays 1 and 2 to interfere constructively:pathlength difference DBC must = nλi. b + i = ?ii. b = ?iii. a+b+90° = ?90°90° - i180°iv. substitute ii into iiia + (90 – i) + 90 = 180 a – i +180 = 180 a = iPage 120 of 316
Chem 155 Unit 6 Page 121 of 316The Grating Equation (cont):For a particular wavelength λ to appear bright atincident angle i, the following must be true:nλ = DB + BCWe know that angle a = angle i. We can measure i,so we use it in calculations.sin(i) = sin(a) =sin(r) = sin(a’) =BC + DB =opposite / hypotenuse = BC / AB = BC / dopposite / hypotenuse = DB / AB = DB / dd sin(i) + d sin (r) = d ( sin(i) + sin(r) )For constructive interference (i.e. a bright condition):Page 121 of 316nλ = d ( sin(i) + sin(r) )
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Full set of Notes with Fill-Ins - San Jose State University

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