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Experiment 09 · Setup Diagram

Specific Rotation

The lens L gathers the sodium lamp's light into a parallel beam. The Nicol prism P plane polarizes it, the half shade plate splits the field in two, the solution in tube T turns both planes, and the analyzer A on its graduated circle is turned until the telescope shows the halves level again. Only the angle A moved through is measured.

Sodium lamp S L Lens unpolarized P Polarizer H.S.P. Air bubble in the bulge Polarimeter tube T l = 20 cm of optically active solution θ A Analyzer on graduated circle Telescope E

One half brighter than the other

Equal and faint (dull bright). Take the reading here

Equal and bright. Not the reading position

The field of view through the eyepiece, split down the diameter the half-shade plate is cut on

Procedure

  1. 1.

    Take 5 grams of sugar and prepare 25 cc of solution by adding water and stirring the mixture. The total volume of the solution should become 25 cc; warm the mixture if necessary. The concentration of this solution is C = 0.2 g/cc, which is 20 %.

  2. 2.

    Clean the polarimeter tube with distilled water, then fill it with water and put it between P and A.

  3. 3.

    Rotate the analyzer for uniform illumination and note this reading down as 'θ₁'.

  4. 4.

    Take care while filling the tube that no bubble is left in the light path after filling.

  5. 5.

    Now fill the tube with the sugar solution of C = 0.2 g/cc and observe θ₂. Here (θ₂ − θ₁) = θ.

  6. 6.

    Measure l, the length of the solution column, in decimetres. One decimetre is 10 cm.

  7. 7.

    Repeat the same for C = 0.1, 0.05 and 0.025 g/cc.

  8. 8.

    Plot θ on the y-axis against C on the positive x-axis. The graph is a straight line through the origin in the first quadrant. Find its slope and calculate the specific rotation from it.

    slope = θ / C, S = slope / l
    with l in decimetres, so the slope divided by the column length gives S

Formula

S = θ / (l × C)
θ is the angle of rotation, C the concentration in g/cc and l the length of the column in decimetres
S = 10 θ / (l × C)
the same relation with the tube measured in centimetres, as it is marked

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