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Physics · Ch 6 — Optics

Determination of Refractive Index of Material of the Prism

6.13.6.1

Determination of Refractive Index of Material of the Prism

To find the refracting angle AA of a prism, the prism is placed refracting-edge-first towards the collimator, and its slit, illuminated by monochromatic (e.g. sodium) light, is reflected off both faces ABAB and ACAC in turn. Turning the telescope to catch the reflection off ABAB (position T1T_1) and then off ACAC (position T2T_2), the angle turned through between T1T_1 and T2T_2 is 2A2A, so AA is found by halving this measured angle. To find the angle of minimum deviation DD, the prism is instead oriented to refract the collimator's beam, and the telescope follows the deviated image as the prism table is slowly rotated; the image is seen to first approach, momentarily stop, and then recede -- the position where it turns back is the minimum-deviation position, whose reading is compared against the reading for the direct (undeviated) beam with the prism removed, giving DD directly as the difference. The refractive index of the prism …

Figure 6.91Angle of prism

What this figure shows. A prism sits on the spectrometer's prism table with its refracting edge facing the collimator, so parallel rays from the collimator strike both faces AB and AC at once and are reflected off each in turn; the telescope is swung to position T1 to catch the reflection off face AB and its reading noted, then swung to position T2 to catch the reflection off face AC. The angle between these two telescope positions, marked 2A in the figure, is exactly twice the apex angle A of the prism, so A …

Figure 6.92Angle of minimum deviation

What this figure shows. The prism is now turned to refract (rather than merely reflect) the collimator's beam, and the telescope tracks the resulting deviated image while the prism table is slowly rotated; as the table turns, the deviated image is shown moving in one direction, momentarily stopping and reversing, then moving back the other way -- the turning-point position is the minimum-deviation position. Comparing this turning-point telescope reading against the reading for the direct (undeviated, prism-remove …