The Refractometer
Refractive index measurement using the gemmological refractometer, including faceted and cabochon techniques, birefringence reading, and troubleshooting.
Introduction
The refractometer is the most important gemmological instrument. It measures refractive
index (RI) by observing the critical angle of total internal reflection at the
gem-to-glass interface.
Refractive index is a fundamental property that helps identify gem species and can
distinguish between similar-looking materials.
How It Works
Light enters through the gemstone placed on a high-RI glass hemisphere. At angles
greater than the critical angle, light is totally internally reflected, creating
a shadow edge on the scale. This edge corresponds to the gem's RI.
Components
A standard gemmological refractometer includes:
- High-RI glass hemisphere: Typically RI ~1.86
- Contact liquid (RI ~1.81): Bridges the gap between gem and glass
- Scale: Range typically 1.35–1.81
- Light source: Monochromatic sodium yellow (589nm) for accurate readings
- Eyepiece: For viewing the scale and shadow edge
Critical Angle Principle
When light travels from a denser to less dense medium, it refracts away from
the normal. At the critical angle, light travels along the interface. Beyond
this angle, total internal reflection occurs.
The position of the shadow edge on the scale directly indicates the critical
angle and therefore the refractive index.
Faceted Stone Technique
For faceted stones, the standard technique provides accurate RI measurements:
Procedure
- Place a small drop of contact liquid on the hemisphere
- Position the stone table-down on the liquid
- Look through the eyepiece at the scale
- Rotate the stone to find maximum and minimum RI readings
- For uniaxial stones: two readings (omega and epsilon)
- For biaxial stones: three readings (alpha, beta, gamma) but only two visible at once
Reading the Scale
- Shadow edge: Sharp boundary between light and dark regions
- Single reading: Isotropic material (cubic or amorphous)
- Two readings: Anisotropic material; difference is birefringence
- Moving readings: Indicates high birefringence; rotate to find limits
Birefringence Calculation
Birefringence = Higher RI - Lower RI
For example:
- Quartz: 1.553 - 1.544 = 0.009
- Tourmaline: 1.640 - 1.620 = 0.020
- Zircon (high): 1.984 - 1.931 = 0.053
Cabochon (Spot Reading) Technique
For curved surfaces, use the spot method:
Procedure
- Use minimum contact liquid
- Place the curved surface on the hemisphere
- Look for a spot of light rather than a shadow edge
- The spot's position on the scale indicates approximate RI
- Rock the stone gently to centre the spot
Limitations
- Less accurate than faceted readings (+/- 0.01)
- Useful for rough assessment of cabochons and beads
- Cannot measure birefringence accurately
- Best for isotropic materials or quick screening
Sturman's Seven Refractometer Patterns
Darko Sturman refined the technique of observing shadow-edge behaviour on the
refractometer into seven basic patterns that cover all possible observations for
isotropic and anisotropic gemstones. Identification of a pattern is based on
observations during rotation of a gemstone on the refractometer. Note:
- The number of shadow edges observed (one or two)
- Whether each shadow edge is variable or constant
- Whether the shadow edges meet (touch)
| Pattern | Shadow Edges | Behaviour | Conclusion |
|---|---|---|---|
| I | 1 constant | RI stays constant during rotation | Isotropic |
| II | 2 constant, parallel | Neither moves; both at fixed RI values | Uniaxial (c-axis perpendicular to table) |
| III | 2, one constant + one variable, touching | Edges join to a single edge at one rotation position | Uniaxial (c-axis parallel to table); sign determinable |
| IV | 2, one constant + one variable, not touching | Higher RI edge moves; edges do not meet | Uniaxial or biaxial (c-axis oblique if uniaxial) |
| V | 2, one constant + one variable, intersecting | Shadow edges cross each other | Biaxial |
| VI | 2 variable, not touching | Both move; they do not touch | Biaxial |
| VII | 2 variable, touching | Both move and touch at one point | Biaxial; sign determinable |
Patterns I-III: Isotropic and Uniaxial
Pattern I – A single constant shadow edge confirms the material is isotropic.
Ensure the reading stays truly constant during a full rotation.
Pattern II – Two constant, parallel shadow edges that never move. This occurs when
the c-axis is perpendicular to the table facet. The minimum and maximum RI and
birefringence can be determined, but the optic sign cannot without testing on
an alternative facet.
Pattern III – One constant and one variable edge that join together at one point
during rotation. This confirms uniaxial character with the c-axis parallel to the
table. The optic sign is determinable:
- If omega < epsilon (constant < variable): uniaxial positive
- If omega > epsilon (constant > variable): uniaxial negative
Patterns IV-VII: Biaxial Determination
Pattern IV – One constant edge, one variable edge, not touching. This ambiguous
pattern can occur in both uniaxial (oblique c-axis) and biaxial stones.
Pattern V – Shadow edges intersect (cross each other). This confirms biaxial
character. The edges may both converge towards beta.
Pattern VI – Both edges move but do not touch. Confirms biaxial, but the optic
sign cannot be determined without additional information.
Pattern VII – Both edges move and touch at one point. Confirms biaxial with
determinable optic sign.
Optic Sign Determination
Uniaxial optic sign (Pattern III):
- omega < epsilon → positive
- omega > epsilon → negative
Biaxial optic sign (when both edges move):
- Observe which shadow edge crosses the point halfway between the maximum
(gamma) and minimum (alpha) values – this edge gives beta - Beta closer to alpha → biaxial positive
- Beta closer to gamma → biaxial negative
Troubleshooting
Common problems and solutions when using the refractometer:
| Problem | Possible Cause | Solution |
|---|---|---|
| No reading visible | RI above contact liquid limit (>1.81) | Use SG or other tests; stone may be diamond, zircon, etc. |
| Fuzzy edge | Birefringent stone, dirty contact, poor polish | Clean surface; rotate stone; check polish |
| Moving readings | High birefringence | Rotate and record both extreme values |
| Very faint reading | Poor lighting or positioning | Improve lighting; reposition stone |
| Multiple edges | Doubly refractive viewing down optic axis | Rotate stone to find clearest readings |
Contact Liquid Safety
Maintenance
Proper maintenance ensures accurate readings:
Daily Care
- Clean hemisphere with soft cloth after each use
- Remove all contact liquid residue
- Check light source is working properly
- Store in protective case when not in use
Calibration Check
Periodically verify accuracy using known materials:
- Quartz: 1.544-1.553
- Fluorite: 1.434 (isotropic)
- Spinel: 1.718 (isotropic)
If readings are consistently off, the instrument may need professional calibration.
Reference Values
| Gem | RI Range | Birefringence |
|---|---|---|
| Diamond | 2.417 | None (isotropic) |
| Ruby/Sapphire | 1.762-1.770 | 0.008 |
| Emerald | 1.577-1.583 | 0.006 |
| Aquamarine | 1.577-1.583 | 0.006 |
| Spinel | 1.718 | None (isotropic) |
| Tourmaline | 1.620-1.640 | 0.020 |
| Quartz | 1.544-1.553 | 0.009 |
| Topaz | 1.619-1.627 | 0.008 |
| Peridot | 1.654-1.690 | 0.036 |
| Garnet (various) | 1.74-1.89 | None (isotropic) |