Objective
When one solders an electronic component into a circuit, certainly some heat from the gun, pencil, or solder wave must reach into the semiconductor device. How much and how fast? How long would it take for a semiconductor device to reach a dangerously high temperature, say 200°C?
Introduction
Diodes are semiconductor devices that normally allow current to flow in one direction but not the other. When a diode is supplied with a constant current in the forward direction, the voltage across the diode will be proportional to the diode's temperature (more on this below). In this project, you'll learn how to make a constant current source, how to calibrate the diode's voltage readings to temperature, and how you can then use a voltage reading to measure the temperature of the diode when a soldering iron is applied to the lead.
Real-World Applications
Thermal diodes as just described are used extensively in microprocessors to detect excessive temperature, which would be harmful to the device. Excessive temperature can impair reliability or perhaps cause a microprocessor to fail permanently. Excessive temperature also slows charge transport. If the logic "gates" don't achieve their proper state by the time the clock moves to the next "tick," then incorrect data would be present. To avoid creating erroneous data, microprocessors have logic schemes to reduce the applied voltage and/or clock rate to reduce power dissipation (and heat) so that these errors don't occur.
CMOS integrated circuit inputs always have a diode in parallel. Under normal operation the diode is reverse-biased so no current would be flowing. If a spark (either polarity) jumped to the pin corresponding to the input, the diode would conduct. If the spark polarity is negative, the diode conducts in its forward direction; if the spark polarity is positive the peak inverse voltage is exceeded and the diode breaks down. In either case the diode acts as a protective element for the sensitive input gate.
How Diodes Work
Figure 1, below, shows the current-voltage relationship for a typical PN rectifier diode (Wikipedia contributors, 2006). Let's take a few minutes to study and understand this graph.
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| Figure 1. Current-voltage relationship for a typical PN rectifier diode, type 1N4001 (Wikipedia contributors, 2006). |
The graph shows the current through the diode (y-axis) as a function of voltage (x-axis). Let's look at the forward bias region of the graph first. The diode is forward biased when V > 0. In the graph you can see that there is an abrupt change in the slope of the curve when the voltage reaches about 0.7 V (for a silicon-based diode). Above this voltage, the current increases rapidly with voltage. The diode is essentially acting as a switch. Above 0.7 V, the diode is switched on, allowing current to flow with little resistance. Below 0.7 V, the diode is switched off, presenting a large resistance to current.
Now let's look at the reverse bias region of the graph. The diode is reverse biased when V < 0. The first thing you need to know is that the scales of the axes in the reverse-bias region are not the same as the scales used in the forward-bias region. The reverse current is on the order of 30 μA, which is more than three orders of magnitude lower than the 50 mA of forward current at +0.7 V. The peak inverse voltage (PIV) is at least 50 V, compared to the on voltage of 0.7 V. (There is a family of rectifier diodes, numbered 1N4001–1N4007. The PIV increases from 50 to 1000 V as the model number increases.) If the peak inverse voltage is exceeded, the diode will be permanently damaged, and a large negative current flows. But as long as the voltage remains within the operating range for which the diode was designed, the diode acts as an electronic switch, allowing current to flow when the voltage is positive, and blocking current when the voltage is negative.
Now that you understand the basics of how a diode behaves in a circuit, let's take a closer look at the forward-bias region, and see how diodes can be used as temperature sensors. The Shockley ideal diode equation describes the current-voltage relationship of a PN semiconductor diode in the forward bias condition. (Don't let the equation put you off. If you understand exponents, you should be able to follow along.) Here's the equation:
The Shockley equation says that current through the diode increases exponentially with voltage. At room temperature (20°C or 293°K), the exponent (qV/nkT) will equal 1 when V is equal to 25 mV. This value is called the thermal voltage, and it corresponds to the mean thermal energy for any atom or molecule at room temperature. For
voltages ≥ 75 mV, exp(qV/nkT) >> 1, so the equation can be simplified to (resulting error is 5% or less):
The simplified Shockley equation tells us that every time the forward bias voltage increases by 25 mV, the forward current increases by a factor of e, the base for the natural logarithms (about 2.718).
If one takes the natural logarithm of both sides of the simplified version for the Shockley equation for forward bias, one gets:
If I is made constant by driving the diode from a constant current generator, then the left side of the equation is constant. Clearly equality means the right side would be constant as well. In order for the right side to remain constant, then voltage and absolute temperature must track one another. Thus, a forward-biased diode will act as a thermometer under constant current conditions. The rate of change for voltage vs. temperature is usually in the range 2–3 mV/°K and varies according to the value of the emission coefficient. Since the sensitivity factor (voltage vs. temperature) does vary from one diode to another, one needs to perform a calibration.
A convenient way to calibrate a diode is to measure forward voltage drop at constant current as a function of temperature in a conventional kitchen oven (see the Experimental Procedure section, below).
How does one create an inexpensive constant current source? It's really quite easy! Just take a 9 V battery and a 1 MΩ resistor in series with the "load," the forward-biased diode for our case. Clearly one can use Ohm's Law to see that 9 μA will flow in the loop if the "load" has a resistance much less than the 1 M ohm series resistor. In fact, the characteristic resistance of a forward-biased diode is on the order of 10 kΩ, but keep in mind that this resistance value is strongly dependent on temperature and voltage since a diode is a non-linear device.
Terms, Concepts and Questions to Start Background Research
To do this project, you should do research that enables you to understand the following terms and concepts:
Questions
Bibliography
Materials and Equipment
To do this experiment you will need the following materials and equipment:
Experimental Procedure
| Note Before Beginning: This science fair project requires you to hook up one or more devices in an electrical circuit. If you don't have experience in putting together electrical circuits you may find it helpful to have someone who can answer questions and help you troubleshoot if your project isn't working. A science teacher or parent may be a good resource. If you need to find another mentor, try asking a local electrician, electrical engineer, or person whose hobbies involve building things like model airplanes, trains, or cars. You may also need to work your way up to this project by starting with an electronics project that has a lower level of difficulty. |
Calibrating Your Diodes
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| Figure 2. Experimental setup for diode voltage vs. temperature calibration. On the left is a detail view showing diode and temperature probe lashed together and attached to oven rack with wire ties. The constant current source is connected to the diode leads with wire nuts. On the right is the part of the setup that stays outside the oven: temperature probe readout, constant current source (9 V battery and 1 MΩ resistor), and digital voltmeter. | |
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| Figure 3. Example graph of voltage vs. temperature for silicon diodes at constant temperature. |
Measuring Temperature with a Calibrated Diode
Variations
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Written by Charlie Zhai and Richard Blish, Ph.D. 
Edited by Andrew Olson, Ph.D., Science Buddies
Last edit date: 2009-03-15 14:31:00
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