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  • The bipolar junction

    Okay, some of us know a mixture of factoids, facts, and urban legends. Examples: forward voltage is 0.6 volts, tempco is -2.0 mv/C, bandgap is 1.25 volts, emitter resistance is zero, and it's a square-law mixer. Knowing what it really does is for mathematicians and theoretical physicists who drink Boltzmann's Constant for coffee at breakfast, and the reason you went to college is so you could be reminded that all this stuff is over your head but you need the course credits for your transcript so pass the test and then get drunk and be glad it's over.

    *********** OKAY, TIME TO CUTT THROUGH ALL THAT BULLSCHITT! **** Here's how the forward biased bipolar silicon semiconductor junction works.

    Physicists dispute what the bandgap voltage of silicon is. I've seen everything from 1.19 to 1.25 volts. I'm going to say it's 1.20 volts for reasons you're about to understand. And what is a "bandgap"? That's for physicists to obsess over. As an electronic engineer, you don't need to know.


    Get yourself a pencil and a piece of paper. Graph paper is best, but you can freehand this on blank paper and still "get it".

    You're about to draw a graph in cartesian coordinates, northeast quadrant. The X axis is voltage. It goes from 0 to 1.2 volts. The Y axis is Kelvin temperature and it goes from 0 to 600 degrees.

    Now draw a straight line from 1.2 volts and 0 Kelvin, to 0 volts and 600 Kelvin. That straight line represents current density. You don't know the literal density, but current is something you can measure and design a circuit around. For starters, call this current 1 milliampere, just to be able to call it something. If the bipolar junction is a small-signal transistor with the base connected to the collector operating as a "transdiode" voltage reference, the 1 mA value you assumed will probably be close to correct. But we'll get to "fudge factors" in a little bit. For now, that line is 1 milliampere.

    Notice anything about that line? At room temp it's 0.6 volts. And its tempco is -2.0 mv/C. At 300K, its DC resistance is 600 ohms. At 600K, the voltage drop vanishes, thermal energy alone is sufficient to propel electrons across the junction energy barrier. DC resistance vanishes. You may not know what a bandgap is, but now you know something about what a bandgap does. The simplest of all possible graphs, and it told you that much.

    What it didn't tell you is what happens at other current levels. Remember, the slope of the line is the voltage tempco.

    Draw another straight line from the origin, through 540 mV at 300K, to the intercept at 545K. Tempco is 2.2 mv/C. That's 100 microamperes.

    Draw yet another straight line form the origin, through 660 mv at 300K, to the intercept at 667 K. Tempco is 1.8 mV/C. That's 10 milliamperes.

    We just discovered a new principle: the voltage difference caused by varying the current is proportional to the Kelvin temperature. What the graph doesn't tell you is that the magic number is 26 ohms AC impedance at 1 mA and 300K. So just take my word for it, until you've had the opportunity to verify it.

    Every decade of current is another 60 millivolts at 300K.

    *********** some oddball predictions, and are they true? ************

    The base-collector "transdiode" exhibits diode law conformity better than a 2-terminal diode because of the amplification factor provided by transistor beta. Transistors vary in their ability to maintain log law conformance, but the good ones can achieve 6 decades of log law conformity. This principle is used in analog IC multipliers and precision log amps. The bipolar junction is one of the most predictable features you'll likely ever encounter.

    The intercept at 0 kelvins is theoretical. Real world materials tend to go screwy as you approach 0 kelvins.

    The Kelvin axis intercepts exist in the real world. If you get a semiconductor so hot that electrons can jump the NP barrier without being pushed by externally applied voltage, it's going to act like a short circuit.

    Here's a factoid that may make all this fit into a pattern. Remember your crystal set with the galena crystal and the catswhisker you had to fiddle with? That's a Schottky junction, but it acts pretty much like a bipolar. Galena is the most sensitive because it has a really low bandgap. For this reason it's used in cooled thermal IR image sensing.

    [more probably later.....]

  • #2
    Originally posted by Dave J. View Post

    [more probably later.....]
    Cannot wait! Thanks

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    • #3
      At 300K, a silicon solar cell in full sun and light load delivers a voltage of about 0.6 volts. The photons with wavelength less than about 900 nanometers knock electrons loose and propel them across the junction, delivering a forward bias current. If you put it under load, the load drops the voltage below the forward voltage of the junction (at that current) and the energy is then delivered to the load. With an open circuit, the current created by photons is sunk by the forward voltage of the PN junction.

      The things are more efficient in cold weather. At 2 mv/C tempco, at 250 Kelvins you've got about 700 millivolts to play with. At 600 Kelvins, you have nothing, too much thermal energy knocking electrons into the conduction band creating a metallic short circuit.

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      • #4
        Then, seems, according your explanation, (stacked) solar cells can be used as power Zener diode too?

        One of possible applied approach:

        http://www.google.sr/patents/US3170329

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        • #5
          Forward biased silicon junctions don't make very good "zener diodes". The knee isn't sharp and the forward voltage varies like heck with temperature. It's right there on that simple graph with straight lines radiating from K=0, V=1.2 Besides which why pay solar cell prices for what could be done with cheap power rectifiers?

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          • #6
            You all sure enjoy complicating stuff. https://www.banggood.com/900pcs-2V-3...l?rmmds=search

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            • #7
              I like keeping things simple where simplicity is possible. However, Zener diodes also have their quirks and limitations, it's easy to misuse them.

              Little-known factoid: the reason why regulated low voltage analog supplies have traditionally been 5 volts (all the way up to the present USB specification) is because the 5.1 volt zener is temperature stable because it balances the lower voltage true Zener action against the higher voltage avalanche action which have opposing temperature coefficients.

              I've used zener diodes as voltage references in metal detector power supplies, but there's a lot to consider in doing so if the objective is an optimized design. Nowadays bandgap based regulators and references have pretty much made zeners obsolete for anything other than voltage clamps.

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              • #8
                Originally posted by homefire View Post
                You all sure enjoy complicating stuff.
                Don't worry, it was only hypothetical question, to provoke some more shared data and knowledge from our legendary MD designer.

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                • #9
                  Not Worried here. After 55 years of messing with Electronics I still don't know chit.

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                  • #10
                    Originally posted by WM6 View Post
                    Don't worry, it was only hypothetical question, to provoke some more shared data and knowledge from our legendary MD designer.
                    I'll second that, some practical electronic training should help most of us. Interesting thread.

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                    • #11
                      The point of this thread is not the words, however entertaining they may be. The point is to actually get a pencil and piece of paper and draw the graph. Otherwise it's like trying to discover a cold beer on a hot day by listening to someone describe it. You have to drink the beer to know.

                      Nearly everything a forward biased silicon bipolar junction does, is on that simple graph. The one you never saw in any textbook. You just have to draw it yourself.

                      I'm hoping that someone will actually do it and report that they just discovered one of the most valuable tools in the circuit engineering arsenal.

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                      • #12
                        Good thread.

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                        • #13
                          Originally posted by Dave J. View Post
                          The point of this thread is not the words, however entertaining they may be. The point is to actually get a pencil and piece of paper and draw the graph. Otherwise it's like trying to discover a cold beer on a hot day by listening to someone describe it. You have to drink the beer to know.

                          Nearly everything a forward biased silicon bipolar junction does, is on that simple graph. The one you never saw in any textbook. You just have to draw it yourself.

                          I'm hoping that someone will actually do it and report that they just discovered one of the most valuable tools in the circuit engineering arsenal.
                          Don't have graph paper so I tried with Excel. Don't know how to remove the chart line. Hope the rest is correct.

                          Have to admit it took me awhile. Was worth doing.
                          Attached Files
                          Last edited by green; 10-03-2017, 08:14 PM. Reason: added sentence

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                          • #14
                            That's it, Green. Once you've got that much, it's obvious how to add a line corresponding to any other current. Since you can know what change in current produces what change in voltage, you can know the AC resistance. Since the lines diverge uniformly the AC resistance is proportional to the Kelvin temperature. If you like doing 2:1 differences rather than 10:1, think in decibels. 2:1 is 6 decibels, 10:1 is 20 decibels, 2:1 is therefore 0.3 of 10:1, so if a current change of 10:1 is delta 60 millivolts, a current change of 2:1 is 30% of that or delta 18 millivolts.

                            Remember that the assignment of 1 milliampere to 0.6 volts and 300K is arbitrary, although many small signal transistors will come close to that. It's really about current density, so for a big honkin' power transistor that line might be 1 ampere. All the rest of it is still valid. For example, if you operate the junction at 1 mA, at 300K its AC resistance is 26 ohms. You don't have to look it up in the data sheet, the data sheet won't tell you anyhow.

                            Now let's talk about thermal noise. Thermal noise density is proportional to kelvin temperature and to the square root of AC resistance. If you use a bipolar transistor (notice I'm not asking what part number) as a preamp in the common-emitter configuration, at 1 mA its impedance is 26 ohms and the broadband noise density is theoretically 660 picovolts per root Hz. In actual practice it'll be higher than that because of the intrinsic base spreading resistance. N material has a lower resistivity than P material, so for this reason low noise bipolar preamps often use PNP transistors rather than NPN.

                            Flicker noise (1/f noise) is not a bipolar junction issue, it's a materials uniformity issue that's present even in fixed resistors. It is present only when current is flowing, and appears as voltage noise because the effective resistance of the material is modulated due to the electric field of electrons propagating almost instantaneously whereas the electrons themselves move rather slowly and tend to get clogged up in material nonuniformities. Their electric field eventually gets 'em rearranged and on their way but it takes time.

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                            • #15
                              Thanks green, to help me understand DJ drawing instruction (my English bad).

                              Here is my try:

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