2V2 Zener diode characteristics?

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cupoftea

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A zener voltage of about 5.6V to 6.8V has the best voltage regulation, 2.2V is poor.
Below 5V a zener voltage has a negative temperature coefficient and above 7V the temp co is positive. The 2.2V zener is poor again.
 
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The 2.2V zener diode is not made by many semiconductor companies. Its 2.2V at 20mA would be a resistor that is 2.2V/20mA= 110 ohms but the datasheet shows only a little better as a voltage regulator.
 
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For a plain silicon diode I created my own V/I graph by testing a real component, then plotting the data. After much head-scratching I matched the curve to a crude equation for volts vs Amperes:

A = (V * 1.25)^20

(As an easy check: apply 0.8 V, get 1 Ampere.)

My equation is not based on the Shockley formula.

Insert different numbers to obtain the equation for an led, or 2.2V zener, or multiple diodes in series.
 
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