Pt 58.378 Pd 43.986 Rh 319.095 Au 142.392 Ag 2.125

How to Accurately Calculate the Density of Bullion Bars and Coins

 

How to Accurately Calculate the Density of Bullion Bars and Coins

Blog #2 ,Ami Gur , May 29-2024

תמונה ללינקדאין עמי
תמונה ללינקדאין עמי

Calculating the density of bullion is a crucial process in confirming the authenticity and quality of precious metal products. The density of an object is defined as its mass divided by its volume. While measuring the weight of a bullion piece is straightforward, determining its volume requires a bit more precision. This article focuses on measuring the dimensions of bullion bars and coins to calculate their volume, which in turn allows us to determine their density. (There is another method to mesure density using Precious Metal Densimeter  which I will prenet in the next blog).

Measuring the Weight

The weight of the bullion can be easily measured using a high-precision scale. Ensure that the weight is recorded in grams for accuracy and consistency.

Measuring the Volume

To calculate the volume, we need to measure the dimensions of the bullion accurately. Most bullions come in the shape of either a rectangular bar or a round coin, and the formulas for their volumes are different.

Tools for Measuring Dimensions

To measure the dimensions accurately, we recommend using a digital caliper. Digital calipers are easy to use and provide precise

measurements, which are crucial for accurate volume calculations. When measuring, ensure that you select a point that best represents the dimension being measured to avoid any discrepancies.

Rectangular Bar

For a rectangular bar, the volume (V) is calculated using the formula:

𝑉=

  • 𝐴 and 𝐵 are the lengths of the vertices (base dimensions).
  • is the height of the bar.

Round Coin

For a round coin, the volume (V) is calculated using the formula:

𝑉=

  • is the diameter of the coin.
  • is the thickness of the coin.
  • 𝜋 (pi) is approximately 3.14.

Calculating Density

Once you have the weight in grams and the volume in cubic centimeters (cm³), you can calculate the density (ρ) using the formula: 𝜌=

Where:

  • Weight is in grams (g).
  • Volume is in cubic centimeters (cm³).

Confirming Authenticity

After calculating the density, compare it with the theoretical density of the metal. For instance, the theoretical density of pure gold is approximately 19.32 g/cm³, and for pure silver, it is approximately 10.49 g/cm³. If the calculated density closely matches the theoretical density, the bullion is likely to be authentic. This method is crucial because most assay tools only analyze the surface, whereas density provides information about the bulk material.

Special Note on Gold Coins

For certain gold coins such as the American Eagle, Krugerrand, Maple Leaf, Chinese Panda, and Buffalo, there is a specific tool known as the “Gold Coin Balance.” This mold helps confirm the density of these coins by ensuring they fit perfectly into the mold, which indirectly verifies their density and authenticity.

Conclusion

Measuring the dimensions of bullion accurately and calculating its density is an essential practice in the precious metals industry. By using digital calipers for precise measurements and comparing the calculated density with the theoretical density, one can verify the authenticity of the bullion. This method complements surface assays and provides a comprehensive analysis of the bullion’s composition.

 
 

4 Ways to Protect Silver from Tarnishing

silver 4

4 Ways to Protect Silver from Tarnishing

Silver has been used for thousands of years for jewelry, silverware, Judaica, coins and decorative objects. Its unique white color, reflectivity and visual depth are difficult to reproduce with other metals.

But silver has one familiar problem:

It tarnishes.

Can we completely prevent silver from tarnishing?

Probably not.

But by understanding why it happens, we can significantly slow the process and choose the right protection method for the product.

What Is Silver Tarnishing?

Silver tarnishing is mainly a surface reaction between silver and sulfur-containing compounds present in the environment.

The most important reaction product is silver sulfide (Ag₂S).

As the tarnish layer develops, the appearance of the silver can change from slightly yellow or brown through blue and purple shades and eventually to the familiar dark grey or black surface.

Sterling silver can tarnish faster than fine silver because it contains copper. The tarnish layer on sterling silver may contain copper sulfides in addition to silver sulfide.

Humidity, sulfur concentration, air pollution and storage conditions can all influence the rate of tarnishing.

An important point is that tarnishing is primarily a surface phenomenon. It normally does not affect the mechanical integrity of the silver item.

So instead of asking:

“How do we stop silver from tarnishing?”

A better question may be:

“How can we control and slow silver tarnishing?”

There are four main approaches.

silverv 1

  1. Choose the Right Silver Alloy

Traditional Sterling Silver is approximately:

92.5% Ag + 7.5% Cu

Copper gives sterling silver much better mechanical properties than fine silver and makes it suitable for manufacturing jewelry, silverware and many other products.

The disadvantage is that increasing the copper content generally increases susceptibility to tarnishing.

This is one reason why an Ag800 item will normally present a greater tarnishing challenge than Ag925, while fine Ag999 silver generally tarnishes more slowly.

Germanium-Containing Silver Alloys

One interesting solution is to modify the alloy itself.

Modern tarnish-resistant sterling silver alloys can replace part of the copper with elements such as Germanium (Ge).

Germanium-containing Ag-Cu and Ag-Cu-Zn alloys can develop a protective oxide-rich surface layer that improves resistance to tarnishing.

Commercial alloys based on this concept have demonstrated that sterling silver can be made considerably more tarnish resistant.

But there is no free lunch.

Germanium-containing alloys also introduce practical disadvantages.

Germanium is considerably more expensive than copper, increasing the alloying cost.

Their mechanical properties, manufacturing characteristics and working behavior differ from conventional Ag-Cu sterling silver and may not be ideal for every manufacturing process.

They also make scrap recycling more complicated.

Conventional Ag925 scrap fits very naturally into the established silver-copper melting, refining and alloying cycle. Once additional alloying elements such as germanium are introduced, scrap segregation, refining and reuse require more attention.

For a large manufacturer producing significant quantities of silver scrap, this can become an important consideration.

So while special alloys can provide excellent tarnish resistance, the improvement comes with both metallurgical and economic trade-offs.

silver v2

  1. Protect the Surface

Instead of changing the entire alloy, another approach is to modify only the surface.

The principle is simple:

Create a barrier between the silver and its environment.

There are several ways to achieve this.

Fine Silver Plating

From my experience with large silverware manufacturers, one of the most practical industrial solutions remains surprisingly traditional:

Standard Ag925 sterling silver followed by fine-silver plating.

This provides the familiar manufacturing and mechanical properties of conventional sterling silver while giving the finished product a high-purity silver surface.

The fine-silver surface generally offers better tarnish resistance than the underlying copper-containing sterling alloy.

It is a simple combination:

Ag925 for the body – Ag999 for the surface.

Organic Anti-Tarnish Treatments

Another solution is a very thin organic passivation layer.

Anti-tarnish inhibitors can attach to the silver surface and create a nearly invisible protective layer that reduces contact with moisture and tarnishing gases.

Unlike conventional plating, very little material is required.

These treatments can be particularly attractive where maintaining the original appearance and dimensions of the silver item is important.

Rhodium Plating

Rhodium is extremely resistant to tarnishing and is widely used as a protective decorative coating in the jewelry industry.

It can provide a very bright white finish and excellent surface protection.

However, it changes the surface from silver to rhodium.

For some jewelry applications this is desirable. For traditional silverware or Judaica, however, it may change the visual character of the product.

Lacquer and Clear Protective Coatings

A transparent lacquer or polymer coating creates a physical barrier between the silver and the atmosphere.

This can be very effective for decorative objects that are not regularly handled.

The disadvantages are equally straightforward.

Coatings can eventually scratch, deteriorate or become damaged. Once this happens, localized tarnishing can develop. Removing an old coating from a complicated decorative object can also be difficult.

silver v3

  1. Control the Environment

Sometimes the best anti-tarnish treatment is not applied to the silver at all.

It is applied to its environment.

Even extremely low concentrations of sulfur-containing gases can cause silver to tarnish.

The objective is therefore to reduce the silver’s exposure to:

Sulfur compounds • Humidity • Air pollution • Reactive packaging materials

Storage materials themselves can sometimes be part of the problem.

Rubber, certain papers and cardboard, adhesives, textiles and other materials may release compounds that accelerate silver tarnishing.

Humidity is another important factor. Under otherwise similar conditions, increasing relative humidity generally increases the rate of tarnishing.

This means that a beautiful Ag925 item stored badly can tarnish much faster than the same item stored in an appropriate environment.

silver v4

  1. Use Proper Anti-Tarnish Storage

For the owner of jewelry, silverware, coins or Judaica, this is probably the easiest solution.

A variety of inexpensive commercial products are available specifically for protecting silver during storage.

Examples include:

Anti-tarnish strips

These are placed inside a jewelry box, cabinet or sealed container and are designed to reduce the concentration of tarnishing gases around the silver.

Anti-tarnish bags

Individual silver items can be stored in special bags that reduce their exposure to the surrounding atmosphere.

Anti-tarnish cloth

Special cloths can be used for wrapping or storing silver objects.

Humidity-control products

Silica gel and similar products can help maintain a lower-humidity storage environment.

For items that spend most of their life in a drawer, cabinet or safe, improving the storage environment may provide one of the best cost-to-benefit ratios of all anti-tarnish methods.

But Is Tarnishing Always Bad?

There is another side to this discussion.

Do we actually want silver to remain perfectly bright forever?

Anyone who has handled quality antique silverware or old Judaica will understand the question.

Over time, slight tarnishing, polishing, handling and normal use can create subtle differences between recessed and exposed areas of the object.

The result can be a depth, warmth and character that is difficult to reproduce artificially.

Compare an old silver object with a highly polished nickel-plated decorative item.

The nickel may still be extremely bright.

But brightness is not necessarily the same as beauty.

Real silver can develop a visual depth and character that is part of the reason people have valued the material for centuries.

In fact, repeated aggressive polishing is not necessarily desirable either. Every mechanical polishing operation removes some material from the surface. On plated objects, excessive polishing can eventually damage or remove the silver layer itself.

So perhaps the objective should not always be to completely eliminate tarnishing.

Tarnishing is something we should control – not necessarily eliminate.

For quality silverware and Judaica, natural aging can sometimes become part of the identity of the object.

So, What Is the Best Solution?

There is no single answer.

The correct anti-tarnish strategy depends on what we are manufacturing or protecting.

For mass-produced sterling silverware, conventional Ag925 + fine-silver plating may remain an excellent practical combination.

For specialized jewelry, a germanium-containing tarnish-resistant alloy may make sense.

For jewelry requiring a permanently bright white appearance, rhodium plating may be appropriate.

For decorative objects, a transparent coating may provide years of protection.

And for silver that spends most of its time in storage, something as simple as an anti-tarnish bag or strip may make a significant difference.

The four approaches can therefore be summarized very simply:

ALLOY → SURFACE → ENVIRONMENT → STORAGE

  1. Choose the right alloy
    Ag925, Ag999 or specialized tarnish-resistant alloys.
  2. Protect the surface
    Fine-silver plating, passivation, rhodium or transparent coatings.
  3. Control the environment
    Reduce sulfur exposure, humidity and contact with problematic materials.
  4. Store it correctly
    Use appropriate bags, strips, cloths and humidity-control products.

And remember:

You may not be able to stop silver from tarnishing forever – but you can certainly slow it down.

Sometimes, you may even decide that a little natural aging is exactly what makes silver look like silver. 

gemo gold
Assay tools and testers
Ami Gur

GemOro Auracle Analyzer

GemOro Auracle Analyzer | Accurate Compact Portable Electronic High Karat Gold & Platinum Tester | Precision Tool with Expert Professional Reading & Accuracy (2009)

Read More »