fiber works to transmit light efficiently. b) Find the minimum angle for total reflection in an optical fibe

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1. . Optical fibers have many uses in analytical chemistry. An optode is a sensor for a specific analyte that is made by coating a chemically sensitive layer at the end of an optical fiber. The image below shows an optode coated in a Ru(II)complex used to detect oxygen concentrations. Luminescence from the Ru(II)complex is quenched by oxygen and the decrease in signal is measured. 

a) Generally explain how an optical fiber works to transmit light efficiently.
b) Find the minimum angle for total reflection in an optical fiber if the index of refraction of the cladding is 1.400 and the index of refraction of the core is 1.600.
c) The optical fiber described can detect 10 amol of O2 in a volume of 100 fL. What is the concentration of this solution in molarity?

25 μη
10 um
COLOR PLATE 25 Oxygen Optode (Section 20-4) (a) Sensor
prepared from a 100-um-diameter optical fiber. The active layer at
the end contains tris(1,10-phenanthroline)Ru(I) chloride dissolved
in polyacrylamide that is covalently bound to the fiber. Light from
the fiber excites the Ru compound, which emits characteristic orange-
red light that is collected with a microscope. When immersed in a
sample containing O, emission is decreased. The decrease is a
measure of O, concentration. (b) An optode with a submicrometer
tip pulled from a larger fiber. This fiber can detect 10 amol of Oz.
[From Z. Rosenzweig and R. Kopelman, "Development of a Submicro-
meter Optical Fiber Oxygen Sensor," Anal Chem. 1995, 67, 2650.
Reprinted with permission © 1995, American Chemical Society]
Transcribed Image Text:25 μη 10 um COLOR PLATE 25 Oxygen Optode (Section 20-4) (a) Sensor prepared from a 100-um-diameter optical fiber. The active layer at the end contains tris(1,10-phenanthroline)Ru(I) chloride dissolved in polyacrylamide that is covalently bound to the fiber. Light from the fiber excites the Ru compound, which emits characteristic orange- red light that is collected with a microscope. When immersed in a sample containing O, emission is decreased. The decrease is a measure of O, concentration. (b) An optode with a submicrometer tip pulled from a larger fiber. This fiber can detect 10 amol of Oz. [From Z. Rosenzweig and R. Kopelman, "Development of a Submicro- meter Optical Fiber Oxygen Sensor," Anal Chem. 1995, 67, 2650. Reprinted with permission © 1995, American Chemical Society]
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