Applied Physics Lab

Energy gap of P-N junction diode: To determine the energy gap of a semiconductor diode

Object:To determine the Energy Band Gap in a Semiconductor by using a Junction Diode.

Required apparatus: Semiconductor diode kit, thermometer (0-110oC)

Theory:
A semi-conductor doped or intrinsic always possesses an energy gap between its conduction and valence bands. For conduction of electricity, a certain amount of energy is to be given to the electron, so that it goes from the valence band to the conduction band. This energy so needed is the measure of the energy gap $$\Delta $$E between the top and bottom of valence and conduction bands respectively. When a P-N junction is reverse biased as shown figure1. the current through the junction is due to minority carriers i.e. due to electrons in P section and holes in N section. The concentration of these carriers depends upon the energy gap $$\Delta $$E.
For small range of temperature relation we can put as,

log Is = Constant – 5.036 $$\Delta $$E [103/T ]

Obviously therefore, if a graph is plotted between log Is and 103/T, a straight line would be obtained.
Where the slope of this line = 5.036 $$\Delta $$E
Here $$\Delta $$E is in electron volts.

Procedure:

  1. Plug the mains lead to the nearest mains socket carrying 230V 10% at 50 Hz A.C.
  2. Insert the thermometer and the diode in the holes of the oven (The hole near to the meter is for diode OA- 79).
  3. Plug the two leads to the diode in the socket, Red plug in Red socket and Black plug in Black socket.
  4. Make the connection as per fig.
  5. Now put the power ON/OFF Switch to 'ON' position and see that the jewel light is glowing.
  6. Put the 'OVEN' switch 'ON' position and allow the oven temperature T increases up to 90oC.
  7. Note: When the temperature reaches 95oC Switch off the oven enabling the temperature to rise further and become stable 90oC
  8. When the temperature becomes stable start taking readings of current and temperature.
  9. The current reading should be taken in steps of 5ºC temperature. The readings should be taken during the fall of temperature from 80oC downwards.
    Tabulate your readings in the form shown below:


    Temperature inC

    (absolute)

    Reverse saturation Current in µA Is

    Temperature T in 0 K

    103/T

    Log10Is

     

     

     

     

     

     

     

     

     

     

  10. Plot a graph between the readings of 103/T on x-axis. The graph should come as a straight line cutting both the x-axis and y-axis.
  11. Now determine slope of the line.
  12. After determining the slope the line calculate the Band Gap as follows:-
    = .....................eV.

Determination of Slope through Least Square Fit Method:

xi=103/T

yi=log10Is

xiyi

xi2

 

 

 

 

 

 

 

 

 

 

 

 

Slope and Percentage Error:-

% $$ ERROR = \frac{(Standard\:\:\:Value\sim Observed\:\:\:Value\times 100)}{Standard\:\:\:Value}$$

Precautions:-

  1. The maximum temperature should not exceed 95oC
  2. Bulb of the thermometer should be inserted well in the oven,
  3. Silicon diodes should not be used with the set up as in that case the temperature needed is 125oC and the oven thermometer provided will not stand to this temperature.

Diagram:-