
If you’ve ever wondered why one functional appliance seems to “work better” than another — or why your supervisor prefers the Herbst over the Activator — the answer might lie in a single, elegant metric: the coefficient of efficiency.
What Is the Coefficient of Efficiency?
Imagine two appliances, both claiming to stimulate mandibular growth. One achieves 6 mm of supplementary elongation in 12 months. Another achieves the same 6 mm, but takes 24 months. Are they equally effective? Technically yes — but practically, no.
This is exactly the problem that Cozza, Baccetti, Franchi, De Toffol, and McNamara Jr. sought to address in their landmark 2006 systematic review published in the American Journal of Orthodontics and Dentofacial Orthopedics. They proposed a simple but powerful formula:
Coefficient of Efficiency=Months of active treatmentSupplementary mandibular elongation (mm)
In plain terms — how many millimetres of extra jaw growth does the appliance produce per month of wear? The higher the number, the more efficient the appliance.
The Rankings: Who Wins?
Cozza et al. analyzed 22 studies (4 RCTs + 18 CCTs) spanning literature from 1966 to 2005. Here’s how the five major functional appliances stacked up:
| Rank | Appliance | Coefficient of Efficiency |
|---|---|---|
| 🥇 1st | Herbst Appliance | 0.28 mm/month |
| 🥈 2nd | Twin Block | 0.23 mm/month |
| 🥉 3rd | Bionator | 0.17 mm/month |
| 4th | Activator | 0.12 mm/month |
| 5th | Fränkel Appliance | 0.09 mm/month |
The overall average across all appliances was 0.16 mm/month, with a mean active treatment duration of approximately 17 months.
Why Does the Herbst Appliance Lead?
The Herbst appliance is a fixed, continuous-force device — it works 24/7, regardless of patient cooperation. This relentless, round-the-clock mandibular advancement is the primary reason it tops the efficiency chart at 0.28 mm/month.
In contrast, the Fränkel appliance sits at the bottom (0.09 mm/month) — not because it’s biologically inferior, but because it is a tissue-borne, removable appliance heavily dependent on patient compliance. Worn only part of the day, its per-month output naturally dilutes.
The lesson? Compliance is a hidden variable in efficiency. Fixed appliances eliminate this variable; removable ones are at its mercy.
A Mnemonic to Remember the Order
Herbst → Twin Block → Bionator → Activator → Fränkel
Think: “He Tells Bright Ambitious Fellows” — going from the most efficient to the least.
Or simply associate the appliance type with compliance demand:
- Fixed (Herbst) = Highest efficiency
- Partially fixed (Twin Block) = Second
- Removable (Bionator, Activator, Fränkel) = Lower, in descending order
The Clinical Takeaway
For busy orthodontic practices where treatment time matters — especially in growing patients with a closing window of skeletal opportunity — choosing a more efficient appliance can make a meaningful difference. A patient treated for 18 months with a Herbst gains the equivalent of roughly 3× more supplementary mandibular growth per month compared to a Fränkel wearer.
That said, efficiency isn’t everything. Patient age, compliance, facial type, and skeletal pattern all factor into appliance selection. But the next time someone asks “which functional appliance works best?” — you now have the data to give a precise, evidence-based answer.
Reference: Cozza P, Baccetti T, Franchi L, De Toffol L, McNamara JA Jr. Mandibular changes produced by functional appliances in Class II malocclusion: a systematic review. Am J Orthod Dentofacial Orthop. 2006 May;129(5):599.e1-12. PMID: 16679196.










