Hi i am experimenting with batteries i need to make an efficient battery. It needs to have the highest possible voltage, it must be safe, the materials must be abundant and it must not cost too much. It needs to be made with any of the following combinations of 2 metals; zinc, copper, aluminum, magnesium and lead.
Tom, I'm not clear on what you mean by "efficient". That term is usually applied to rechargeable batteries, not home-built primary cells. What factors are you using to measure "efficient"?
By "highest possible voltage", I assume you mean cell voltage rather than battery voltage. By "stacking" cells, you can make a battery of hundreds of volts, limited only by how high you can get it before you reach the threshold of your insulation, which would have passed the limit for "safety" anyway---but anyway, if you really mean you really need the highest possible voltage
per cell, that limits your choice of metals to use.
I can google up the potential between different metals in an electrolyte, but so can you.
You haven't mentioned anything about the electrolyte. I assume it's open to anything you can find an abundance of.
The one thing where I might be able to help is the "abundant" materials: I have to assume you mean abundant for the home experimenter, which is totally different than abundant for commercial concerns.
If you haunt a construction site, you can sometimes find scrap electrical wire in dumpsters. That's 100% pure copper. Sometimes you can find aluminum wire too, also 100% pure. Soda cans are aluminum, but an alloy, but still suitable for making batteries. The tabs on the soda cans are pure aluminum. American pennies (more properly called "cents") are zinc with a thin copper coating that can be brushed off with a wire brush. Check out gas stations where they work on cars and you'll find lead wheel weights lying around. May take some searching, but they're there. I'm pretty sure it's a lead alloy.
Off the top of my head, I can't think of a scrap source of magnesium. I might come up with something later.