Gem Weight Calculator

Formula

To calculate the gem weight:

\[ GW = L \times W \times D \times SG \times SF \times WCF \]

Where:

\( GW \) is the gem weight (carats)
\( L \) is the length (mm)
\( W \) is the width (mm)
\( D \) is the depth (mm)
\( SG \) is the specific gravity (carats/mm³)
\( SF \) is the shape factor
\( WCF \) is the weight correction factor

What is Gem Weight?

A gem weight is defined as the total mass of a gemstone based on the physical characteristics of length, width, depth, specific gravity, and shape. This calculation helps in determining the carat weight of a gemstone.

Example Calculation 1

Let's assume the following values:

Length \( L \) = 10 mm
Width \( W \) = 5 mm
Depth \( D \) = 3 mm
Specific Gravity \( SG \) = 3.52 carats/mm³
Shape Factor \( SF \) = 1.0
Weight Correction Factor \( WCF \) = 1.0

Step 1: Multiply the length, width, and depth:

\[ L \times W \times D = 10 \times 5 \times 3 = 150 \]

Step 2: Multiply by the specific gravity, shape factor, and weight correction factor:

\[ GW = 150 \times 3.52 \times 1.0 \times 1.0 = 528 \]

So, the gem weight is 528 carats.

Example Calculation 2

Let's assume the following values:

Length \( L \) = 8 mm
Width \( W \) = 4 mm
Depth \( D \) = 2 mm
Specific Gravity \( SG \) = 3.52 carats/mm³
Shape Factor \( SF \) = 1.0
Weight Correction Factor \( WCF \) = 1.0

Step 1: Multiply the length, width, and depth:

\[ L \times W \times D = 8 \times 4 \times 2 = 64 \]

Step 2: Multiply by the specific gravity, shape factor, and weight correction factor:

\[ GW = 64 \times 3.52 \times 1.0 \times 1.0 = 225.28 \]

So, the gem weight is 225.28 carats.