I am back home now. The SG results now equate to 850 and 870 fine silver (they were 715 and 750 before). The newer results would place the coins in the older Bullion forgery category based on tests I have conducted in the past. The Chinese copies I have checked are usually under 10.1 not over 10.2 and many older bullion forgeries are in the high 800s.
However, I am concerned about the large change in your results 9.99 jumped to 10.22 for the 1735 and what you said in your post about how you adjusted your numbers. Quote:
The only thing I did different was I weighed the coins w/the string on, that added about .03 grams to each coin.
There is no need to add the weight of the hangar to the coin.
Lets go back to the start.
The Specific Gravity of any item is the density relative to water. It is determined by dividing the weight of an object by its volume. Water is 1.0 grams per cubic centimeter at "room" temperature at sea level.
So for our purposes, the SG is the weight of the coin in air (with NO hangar) divided by the difference in weight between the coin weighed in water and in air.
So the first weight, (the numerator) is simply the coin itself.
The denominator of the fraction is the difference between the coin
AND hangar in air and the coin
and hangar in water.
The weight of the hangar in this case nets out to ZERO because the weight of the hangar is included in both the wet and dry weights of the coin.
If you just add the weight of the hangar to the weight of the coin in the numerator, you are just artificially increasing the SG as a result.
But, I also noticed that you said "string". That could be a small flaw in the methodology. I have never used a string as a hangar because it floats. It has a density below that of water and usually it is porous. The effect of a buoyant material like string DECREASES the apparent SG of the coin because it disproportionately increases the difference in weight making the coin appear much larger in volume.
Typically, I use a fine drawn silver wire as a hanger (jewelry supply houses can provide some very fine wire with known SG) but any non porous wire can be used. The thicker the wire hangar the more effect there is on the test. So big knots and excess hangar material all heighten the effect. But you can use any wire if you zero out its effect on the results. I have also successfully used stainless steel, piano and copper wires.
But the key fact here is that the hangar has a
VOLUME itself and therefore it has a displacement effect when the coin is in the water. You do need to adjust your results for the
effect of the hangar not simply for the weight of the hangar. I typically check the hangar assembly EMPTY (weighing it in air and then in water) to determine the net effect the hangar has on the displacement weight of water (the delta - the difference between the dry and wet weight of the coin.)
Remember the net weight of the water displaced EQUALS the volume of the coin. It is the volume of the coin that is needed for the SG determination. One Cubic Centimeter of water weighs exactly ONE GRAM so if the coin is 3 grams lighter in weight it has a volume of 3 cubic centimeters.
For a very fine silver wire the effect can be very minimal in the range of 0.002 grams (cc's) and using 900 fine silver renders the deviation meaningless when dealing with 900 fine coins since the density matches. The effect of the 900 fine hangar will alter SGs that are lower than 10.31 by raising them slightly. Conversely a 900 fine hangar will drop higher SGs. But for doing an authenticity check on most 900 fine coins for authenticity the silver wire can be IGNORED with no net effect.
I also use silver wire for testing gold coins - the effect is more significant there but is removed in the identical manner. If I am testing a debased gold coin for the actual value of gold it contains the silver hangar needs to be accounted for or I will get an incorrect result.
As a result many people do not bother with the hangar effect when they use drawn silver wire. I agree with that. Remember it is NOT THE WEIGHT of the hangar that is the problem. The weight cancels out. It is the VOLUME of water displaced by the hangar that is critical. In many of my tests it can have an effect of 0.012 cc.
Other hints to getting accurate results in an SG test are as follows.
Repeat each test THREE times to make sure you have a good repeatable result. This is critical for debased silver coins in the 800 fine and up range where a small difference is critical - not really critical for plated copper where the difference is enormous.
Remember that you can nullify a test result by being imprecise. An air bubble can get trapped and missed resulting in an incorrect SG.
At times, a coating on the coin (if thick enough) can lower the SG slightly. Always look for oils or excessive dirt first and if possible remove thick deposits before testing. Oils should be removed (I use acetone).
You need to use room temperature (same temperature as the coin) distilled water with a small amount of detergent (1 or 2 drops) per cup of water to break surface tension. You can boil tap water to remove dissolved air and achieve decent results.
Do not let the coin sit in the water any longer than necessary because air bubbles can form on the coin surface quickly under the incorrect circumstances.
Also make sure there are no significant air currents blowing on the scale (fans - even your breath on the apparatus can cause a deviation). In most laboratories the analytical balance is kept in a glass box.
Finally always check your balance before and after each test to assure it is set up correctly (level) and will zero with the balance empty.
Sorry of I start to sound like a Lab professor but a bad result can get a real coin labeled as a fake and vice versa.