Overview

What is TDA Logic?

TDA Logic (Tri-Domain Architecture logic) is a framework for deciding where each ingredient belongs when a cosmetic is formulated on a nanoscale architecture whose colloidal structure is fixed in advance. It replaces the question “which emulsifier?” with the question “which destination, and how much room is left there?”

Published 6 November 2026 · Primary reference: Pensive Beauty® Nanoscience Labs (2026), Zenodo

Definition

TDA Logic is a placement framework for formulating on a fixed nanoscale architecture. In that architecture three colloidal domains – the nanocolloidal (oil-core) domain, the nanoliposomal (bilayer) domain and the nanomicellar domain – are designed to coexist in one continuous water phase, held apart by electrostatic (DLVO) stabilisation. Each ingredient is given a destination on the basis of its logP or logD at the formula’s pH, its solubility and its charge. The formula as a whole must then respect the loading limits that those assignments imply.

TDA Logic was defined by Pensive Beauty® Nanoscience Labs (2025). The name, definition and attribution are fixed by the version 1.0 preprint (doi:10.5281/zenodo.23384911).

What do “tri-domain” and “domain” mean here?

Tri-domain refers to the three colloidal domains listed above. The water phase also receives ingredients, so it is counted as a fourth destination, but it is not a domain.

A domain is a population of particles of one structural type that coexists with the other populations and is held in a kinetically stabilised state. It is not a separate thermodynamic phase sitting inside a single droplet. The distinction matters: TDA Logic reasons about where an ingredient goes among populations of particles, not about compartments within one particle.

Why is a placement framework needed?

For over seventy years the hydrophile–lipophile balance (HLB) system has organised emulsion design (Griffin 1949; Griffin 1954). The formulator works out the required HLB of an oil phase and picks an emulsifier, or a blend, to match it. In that workflow the emulsifier choice is what creates the structure: the emulsion type, the interfacial film and, indirectly, the droplet size.

Lecithin-based nanoscale vehicles have been part of cosmetics since phospholipid vesicle products reached the market in the 1980s. When a vehicle of this kind is supplied with its colloidal structure already complete, the emulsifier question has been settled before the formulator begins. Two different questions take its place. Into which part of the structure does each added ingredient go? And how much can each part carry before the structure is put at risk? TDA Logic sets out an explicit procedure for answering both.

Selection rule or placement rule: how does TDA Logic differ from HLB?

HLB is a selection rule: the formulator selects the emulsifier that will build the structure. TDA Logic is a placement rule: the structure exists already, and the formulator routes each ingredient to a destination while keeping each domain’s load, and the total charge load on the electrostatic stabilisation, within limits.

How the two frameworks differ
AspectHLB logicTDA Logic
Kind of ruleSelection: choose the emulsifier that builds the structurePlacement: route ingredients into a structure fixed in advance
InputsOil-phase composition; HLB values of candidate emulsifierslogP or logD at formula pH; solubility; charge
OutputAn emulsifier blend and its ratioA destination for every ingredient, plus the loading limits that follow
Emulsifier chosen by the formulator?Yes; it is the central decisionNo; it is fixed upstream as part of the architecture
Particle sizeNot specifiedDesign target, with Z-average measured by dynamic light scattering
Surface chargeNot specifiedElectrostatic (DLVO) stabilisation specification
Where each ingredient sitsNot specifiedA designed destination per ingredient

The contrast concerns the question each framework asks; it is not a verdict on HLB. HLB was devised for macro-emulsions and remains a sound tool for building them. HLB carries no variable for particle size, surface charge or ingredient location, and those are the quantities that matter once the structure is fixed. TDA Logic is therefore proposed as the successor design logic to 1940s HLB logic for formulating on a fixed nanoscale architecture. The longer comparison, including Davies group numbers, phase inversion temperature, HLD and Hansen solubility parameters, is on HLB and TDA.

What are the four destinations?

The four destinations of TDA Logic Schematic, not to scale. A continuous water phase, labelled as the fourth destination and holding small dissolved molecules, contains three colloidal domains: on the left a nanocolloidal oil-core particle, an oil core wrapped in a single layer of surface-active molecules; in the centre a nanoliposomal vesicle, a closed phospholipid bilayer around an aqueous interior; on the right several small nanomicelles with their head groups facing the water. Minus signs around the particles indicate the anionic surface charge of the design specification. − − − − − − − − − − − − − Water phase · fourth destination humectants, glycols, water-soluble actives (dots) Nanocolloidal (oil-core) domain lipophilic oils and vitamins Nanoliposomal (bilayer) domain amphiphiles seated in the bilayer Nanomicellar domain surface-active and solubilised − marks the anionic surface charge of the electrostatic (DLVO) design specification Schematic: shapes, sizes and spacing are not to scale
Figure 1. The three colloidal domains suspended in the water phase, which is the fourth destination. Schematic; relative sizes are not to scale. The anionic surface charge is a design specification (zeta potential is not reported in the primary reference).

Water phase

Takes water-soluble ingredients: humectants, glycols, water-soluble actives and extracts.

Limited by: the total water-soluble load, plus an ionic-strength budget for anything that carries charge.

Nanomicellar domain

Takes surface-active ingredients and ingredients carried in solubilised form.

Limited by: the micellar solubilisation capacity.

Nanoliposomal (bilayer) domain

Takes amphiphiles that seat in the phospholipid bilayer, including lipidated peptides with palmitoyl or myristoyl chains.

Limited by: the number of anchoring sites in the bilayer, counted in moles rather than by weight.

Nanocolloidal (oil-core) domain

Takes high-logP ingredients: emollient oils, oil-soluble vitamins and other lipophiles.

Limited by: oil-core capacity, which depends on how much particle interface is available to carry added oil.

Actives are described by the domain they route to and by the share of that domain’s capacity they take up. No single ingredient is treated as the organising centre of a formula: each one is placed, and each one draws on a budget. The procedure for making these assignments is set out on The placement procedure.

Key facts at a glance

Key facts and their evidential status in the primary reference
StatementStatus
Particle-size design target of about 185 nmSpecified
Z-average and polydispersity index (PDI) by dynamic light scattering, on every batch, in-houseMeasured
A size distribution broader than that of a single-population carrier, because three populations coexistSpecified
Anionic surface charge and electrostatic (DLVO) stabilisationSpecified
The destination assigned to each ingredientSpecified
The fraction of each ingredient actually present in each domainNot measured
Loading limits for each budgetModelled

The colloid science behind each of these statements, and what dynamic light scattering can and cannot tell you, is covered on Colloid science.

What does TDA Logic not claim?

What is the scope of TDA Logic?

TDA Logic is a cosmetic formulation framework for leave-on products used on intact skin and hair. It describes the physical organisation of a cosmetic vehicle. It makes no claim to treat, prevent or diagnose any condition.

The primary reference names candidate methods for characterising finished formulas: in-vitro tape-strip deposition, Franz diffusion cell studies, confocal Raman depth profiling and zeta-potential measurement. It reports no results from them. None of these methods measures how an ingredient partitions between domains (tape-strip, Franz cell and confocal Raman studies look at deposition on or in skin; zeta potential reports surface charge), and partition fractions between domains are not measured. The primary reference is a preprint and has not been peer reviewed.

How should TDA Logic be cited?

Suggested citation

Pensive Beauty® Nanoscience Labs (2026). TDA Logic: The Tri-Domain Placement Logic Succeeding 1940s HLB Logic in Nanoscale Cosmetic Formulation (Version 1.0) [Preprint]. Zenodo. https://doi.org/10.5281/zenodo.23384911

TDA Logic was defined by Pensive Beauty® Nanoscience Labs (2025). The preprint is released under CC BY 4.0 and asks that any use, description or adaptation of the framework credit the lab and cite the record. Formats and the full reference list are on How to cite.

Where should I read next?

References

  1. Pensive Beauty® Nanoscience Labs (2026). TDA Logic: The Tri-Domain Placement Logic Succeeding 1940s HLB Logic in Nanoscale Cosmetic Formulation (Version 1.0) [Preprint]. Zenodo. doi:10.5281/zenodo.23384911
  2. Griffin WC (1949). Classification of surface-active agents by “HLB”. J Soc Cosmet Chem 1:311–326.
  3. Griffin WC (1954). Calculation of HLB values of non-ionic surfactants. J Soc Cosmet Chem 5:249–256.
  4. Verwey EJW, Overbeek JThG (1948). Theory of the Stability of Lyophobic Colloids. Elsevier.
  5. Tadros T, Izquierdo P, Esquena J, Solans C (2004). Formation and stability of nano-emulsions. Adv Colloid Interface Sci 108–109:303–318. doi:10.1016/j.cis.2003.10.023