Intermediate

Contact Lens Vertex Distance Calculator

Contact lenses sit on the cornea, not 12–14 mm away like spectacle lenses. For prescriptions stronger than about ±4 D this distance changes the effective power needed. Enter your spectacle power and vertex distance to get the corrected contact lens prescription.

D

Prescription from your eye test — negative for myopia, positive for hyperopia

mm

Distance from spectacle lens back surface to cornea — typically 12–14 mm
Contact lens power (Vc)
-4.7170D

Exact power — see rounded value below for ordering

Spectacle power (Vs)
-5.00 D
Vertex distance
12.00 mm
Exact contact lens power
-4.717 D
Rounded to nearest 0.25 D
-4.75 D
Power change (Vc − Vs)
0.283 D

For high prescriptions (|Vs| > 4 D) the difference between spectacle and contact lens power is clinically significant. Always confirm with an optometrist before ordering contact lenses.

-6-5.7-5.4-5.1-4.9-4.6-4.3-4-3.7Vs -5.00Vc -4.75Spectacle power vs. contact lens power (diopters)
Step by step
  1. 1

    Vertex distance in metres

    12 ÷ 1000 = 0.012 m
  2. 2

    Denominator (1 − d × Vs)

    1 − 0.012 × -5 = 1.06
  3. 3

    Contact lens power Vc = Vs ÷ denominator

    -5 ÷ 1.06 = -4.7170
Results are estimates for general information only and are not professional advice — always verify important results independently before relying on them. Read the full disclaimer.
Quick answer

How does this calculator work?

Contact lens power Vc = Vs / (1 − d × Vs) corrects for the vertex distance d (in metres) between spectacle and corneal planes. For |Vs| > 4 D the difference is clinically important — enter your spectacle power and vertex distance (typically 12–14 mm) to get the corrected contact lens power rounded to the nearest 0.25 D.

Formula
Vc = Vs / (1 − d × Vs) where d is the vertex distance in metres
How this is calculated

A spectacle lens forms a focal point at a certain distance behind the lens. When the lens is moved closer to the eye (from the spectacle plane to the corneal plane), the focal point shifts, so a different power is needed to place it on the same point of the retina. This is the vertex distance effect, and the correcting formula is Vc = Vs / (1 − d × Vs), where Vs is the spectacle power in diopters and d is the vertex distance in metres.

For low prescriptions (−4 D to +4 D) the correction is usually less than 0.25 D and can be ignored in practice because standard contact-lens powers are supplied in 0.25 D steps. For stronger prescriptions the correction becomes significant: a −10 D spectacle prescription at a 13 mm vertex distance gives a contact lens power of about −8.85 D, a full diopter less myopia in the contact lens than the spectacles.

The result is rounded to the nearest 0.25 D to match the standard power steps in which contact lenses are manufactured. The exact (unrounded) value is also shown. Vertex distance is typically measured between 12 and 14 mm for most frames; a low-bridge frame or a large-framed wrap can push it outside this range. Always verify a contact lens prescription with a qualified optometrist — the vertex calculation is one input into a full contact lens fitting.

Frequently asked questions

Spectacle lenses sit 12–14 mm in front of the cornea. Moving the correcting lens to the corneal surface changes the effective vergence reaching the eye, so the required power changes. The higher the prescription, the larger the difference.

The difference between spectacle and contact lens power exceeds 0.25 D (the minimum step size) when the spectacle prescription is stronger than roughly ±4 D. Below that threshold the conversion is usually within manufacturing tolerance and can be ignored.

Yes. This calculator provides an estimated contact lens power from your spectacle prescription, but a contact lens fitting also considers corneal curvature (base curve), lens diameter, tear film, and the specific brand — all of which require professional assessment.

Also known as

vertex distance correction calculator
spectacle to contact lens power
contact lens prescription conversion
back vertex power calculator
glasses prescription to contacts
vertex distance formula optics
contact lens power from spectacle

APA

TG we-Calculate Editorial Team. (2026). Contact Lens Vertex Distance Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/contact-lens-vertex-calculator

Chicago

TG we-Calculate Editorial Team. "Contact Lens Vertex Distance Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/contact-lens-vertex-calculator.

IEEE

TG we-Calculate Editorial Team, "Contact Lens Vertex Distance Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/contact-lens-vertex-calculator

BibTeX

@misc{wecalculate_contact_lens_vertex_calculator, title = {Contact Lens Vertex Distance Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/contact-lens-vertex-calculator}}, year = {2026}, note = {TG we-Calculate} }

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