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Abbe’s Refractometer

Aim:

     1. To find refractive index of the given liquid samples.
     2. To study the variation of refractive index with (a) temperature of the
        liquid sample.
        (b) wavelength of the light source
     3. To determine the polarisability of the given liquid samples at a given
        temperature.

Apparatus

Abbe’s refractometer, temperature controller, light source (Sodium Na lamp
              , and samples.

Theory

The Refractometer is a device that is used to measure refractive index. Ernst
Abbe of Germany was the first scientist to develop one called Abbe’s refrac-
tometer. The working principle of most accurate refractometers is based on
the measurement of the critical angle . In both the Pulfrich and Abbe types a
convergent beam strikes the surface between the unknown sample, of index n,
and a prism of known index (Figure 1). Now is greater than n, so the two
must be interchanged in the equation:

                                                                                                a

                                                                                            b


                                                                                            c                nx



                                                                                                    𝑛
                                                                                                        𝜑𝑐




Figure 1: Refraction in the prism of Abbe refractometer.
                                                                                                                          ’
                                                                                                                          c
                                                                                                                      ’
                                                                                                                  b
                                                                                                             ’
                                                                                                         a



Optics Lab. – Department of Physics – College of Science – University of Baghdad – Exp. No. 1                                 1
The beam is so oriented that some of its rays just graze the surface, so that one
observes in the transmitted light a sharp boundary between light and dark.
Measurement of the angle at which this boundary occurs allows one to com-
pute the value of   and hence of n.

The main part of Abbe’s refractometer (Figure 2) is prism lens. It consists of
two Abbe’s prism of flint glasses of high refractive index, 1.75 cemented into
mounting hollow cases. The cases act as jackets and water from the thermo-
stat can be circulated around the prism for controlling temperature. The up-
per face of the lower            Telescope Eye-
                                      piece
prism is mounted so                                                          Bright
                                                                              Area
that it will act as a dif-
fusion screen, giving                        Telescope
                                                                              Dark
rays in all directions                                                        Area

and confines a thin                                                   Shadow Boundary Seen
sample of the liquid.                                                 Through the Telescope


The lower face of the                                                    Compensating
                                                                          Amici Prisms
upper prism, known
as     the     refractive
prism is highly pol-
ished. The two prism                                                                 Measuring
cases are lingered to-                          Matted Surface
                                                                                       Prism
                                                                                               Sample
gether, when the
prisms are closed and
touched by a locknut                                           Illuminating
                                                                   Prism
with a space of 0.1 to
0.14 mm between the          Figure 2: Abbe refractometer.                                        Light Source

faces of the prism. A
small quantity of the sample under experiment is introduced in this narrow
space.
The case of upper prism is rigidly attached to the index arm, which carries a
scale at its upper end. The scale is graduated in terms of refractive index from
1.3 to 1.7 up to 3rd decimal.
Optics Lab. – Department of Physics – College of Science – University of Baghdad – Exp. No. 1                2
Refractive index of a substance is a function of a wavelength. If the light
source is not monochromatic (and in simple devices it rarely is) light gets dis-
persed and shadow boundary is not well defined, instead of seeing sharp edge
between white and black, you will see a blurred blue or red border. In most
cases that means measurements are either very inaccurate or even impossi-
ble. Therefore, to prevent dispersion Abbé added two compensating Amici
prisms into his design.

A telescope is rigidly fixed into the sector which is attached to upright of base
in such a way that the axis or the sector coincides with the rotation of the
prism lens. The prism lens can be rotated by means of the arm which can be
moved by a knob. The line of demonstration corresponds to the critical angle
is seen through the telescope and the index arm is rotated so that the border
line passes exactly through the refractive index, thereby intersecting the cross
wires. The refractive index is read through the eyepiece at the upper end.

Procedure:

   1. Switch ON the monochromatic Na light lamp and wait for about 5
      minutes to allow lamp warm up.
   2. Using a clean dropper, put 1 or 2 drops of the liquid whose refractive
      index is to be checked between illuminating and measuring prisms.
      Close the lower prism case.
   3. Use rotating knob to align the X mark in the eyepiece with the shadow
      boundary separating the dark and bright areas seen in the field of view.
      The sharpness of the depth of field can be adjusted by moving the lens
      back and forth.
   4. Read the refractive index from the scale. Liquid samples must be non-
      corrosive, to not damage surface of the prisms.
   5. Clean the prisms with filter paper or a napkin and repeat steps 1-4 for
      solutions of various concentrations and for an unknown solution nx.
Discussion:
   1. What does refractive index mean?
   2. Why should the sample refractive index be higher than that of the
      measuring prism?

Optics Lab. – Department of Physics – College of Science – University of Baghdad – Exp. No. 1   3

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Abbe refractometer

  • 1. Abbe’s Refractometer Aim: 1. To find refractive index of the given liquid samples. 2. To study the variation of refractive index with (a) temperature of the liquid sample. (b) wavelength of the light source 3. To determine the polarisability of the given liquid samples at a given temperature. Apparatus Abbe’s refractometer, temperature controller, light source (Sodium Na lamp , and samples. Theory The Refractometer is a device that is used to measure refractive index. Ernst Abbe of Germany was the first scientist to develop one called Abbe’s refrac- tometer. The working principle of most accurate refractometers is based on the measurement of the critical angle . In both the Pulfrich and Abbe types a convergent beam strikes the surface between the unknown sample, of index n, and a prism of known index (Figure 1). Now is greater than n, so the two must be interchanged in the equation: a b c nx 𝑛 𝜑𝑐 Figure 1: Refraction in the prism of Abbe refractometer. ’ c ’ b ’ a Optics Lab. – Department of Physics – College of Science – University of Baghdad – Exp. No. 1 1
  • 2. The beam is so oriented that some of its rays just graze the surface, so that one observes in the transmitted light a sharp boundary between light and dark. Measurement of the angle at which this boundary occurs allows one to com- pute the value of and hence of n. The main part of Abbe’s refractometer (Figure 2) is prism lens. It consists of two Abbe’s prism of flint glasses of high refractive index, 1.75 cemented into mounting hollow cases. The cases act as jackets and water from the thermo- stat can be circulated around the prism for controlling temperature. The up- per face of the lower Telescope Eye- piece prism is mounted so Bright Area that it will act as a dif- fusion screen, giving Telescope Dark rays in all directions Area and confines a thin Shadow Boundary Seen sample of the liquid. Through the Telescope The lower face of the Compensating Amici Prisms upper prism, known as the refractive prism is highly pol- ished. The two prism Measuring cases are lingered to- Matted Surface Prism Sample gether, when the prisms are closed and touched by a locknut Illuminating Prism with a space of 0.1 to 0.14 mm between the Figure 2: Abbe refractometer. Light Source faces of the prism. A small quantity of the sample under experiment is introduced in this narrow space. The case of upper prism is rigidly attached to the index arm, which carries a scale at its upper end. The scale is graduated in terms of refractive index from 1.3 to 1.7 up to 3rd decimal. Optics Lab. – Department of Physics – College of Science – University of Baghdad – Exp. No. 1 2
  • 3. Refractive index of a substance is a function of a wavelength. If the light source is not monochromatic (and in simple devices it rarely is) light gets dis- persed and shadow boundary is not well defined, instead of seeing sharp edge between white and black, you will see a blurred blue or red border. In most cases that means measurements are either very inaccurate or even impossi- ble. Therefore, to prevent dispersion Abbé added two compensating Amici prisms into his design. A telescope is rigidly fixed into the sector which is attached to upright of base in such a way that the axis or the sector coincides with the rotation of the prism lens. The prism lens can be rotated by means of the arm which can be moved by a knob. The line of demonstration corresponds to the critical angle is seen through the telescope and the index arm is rotated so that the border line passes exactly through the refractive index, thereby intersecting the cross wires. The refractive index is read through the eyepiece at the upper end. Procedure: 1. Switch ON the monochromatic Na light lamp and wait for about 5 minutes to allow lamp warm up. 2. Using a clean dropper, put 1 or 2 drops of the liquid whose refractive index is to be checked between illuminating and measuring prisms. Close the lower prism case. 3. Use rotating knob to align the X mark in the eyepiece with the shadow boundary separating the dark and bright areas seen in the field of view. The sharpness of the depth of field can be adjusted by moving the lens back and forth. 4. Read the refractive index from the scale. Liquid samples must be non- corrosive, to not damage surface of the prisms. 5. Clean the prisms with filter paper or a napkin and repeat steps 1-4 for solutions of various concentrations and for an unknown solution nx. Discussion: 1. What does refractive index mean? 2. Why should the sample refractive index be higher than that of the measuring prism? Optics Lab. – Department of Physics – College of Science – University of Baghdad – Exp. No. 1 3