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I’m no electronics engineer either, but as far as i know, the temperature coefficient describes how much the resistance of a resistor changes while its temperature changes. It is described in parts per million (PPM) for 1 degree celsius (PPM/C) and will be calculated like it’s described here:
In short: a lower value means less change – so the resistor has a more stable resistance throughout a large change in temperature.
For a diode a higher breakdown voltage is better, since it describes the voltage a diode can survive until its insulated parts become conductive. So there’s no problem with your replacement diode either.