Coordination

Place an adsorbate relative to the surface

An adsorption-site name identifies a geometric relation to the substrate. It is a reproducible starting description, not a universal bond length or a promise of energetic stability.

Adsorption places an additional particle at the interface

Adsorption is enrichment of a component in the interfacial region rather than in the adjoining bulk phase. The species at the surface is the adsorbate; here, the solid that supports it is the substrate. Adsorption should not be confused with absorption into the bulk. [1]

An adsorption geometry contains more information than a site name. For an atom, a convenient initial position is

\[\mathbf r_{\mathrm{ads}}=\mathbf r_0+u\mathbf a_1+v\mathbf a_2+z\hat{\mathbf n},\]

where \(\mathbf r_0\) is the stated surface-cell origin, \((u,v)\) gives the lateral registry in that cell, and \(z\) is measured from the corresponding reference plane along the outward normal \(\hat{\mathbf n}\). A molecule also needs an orientation and internal geometry.

In this atlas, site primarily means the lateral relation \((u,v)\) to nearby substrate atoms. The appropriate initial height depends on the adsorbate, substrate, site, and chosen computational method. It cannot be inferred from a label such as “ontop” or from the depth of a buried support atom. Molecular orientation is likewise an independent choice. [2]

Construct the lateral position from substrate atoms

The catalogue positions are generated from explicit atomic geometry, not placed by eye. Each construction first chooses substrate atoms and, where necessary, the nearest periodic images of those atoms. Their projections are expressed in one unwrapped copy of the surface cell before the result is wrapped back into the reference cell.

For projected fractional positions \(\mathbf s_i=(u_i,v_i)\), the common constructions are

\[\begin{aligned} \text{ontop:}\quad &\mathbf s=\mathbf s_1,\\ \text{bridge:}\quad &\mathbf s=\tfrac12(\mathbf s_1+\mathbf s_2),\\ \text{shell centre:}\quad &\mathbf s=\frac1N\sum_{i=1}^{N}\mathbf s_i. \end{aligned}\]

The shell centre is formed from an explicitly identified triangle, square, or local pocket; it is not an arbitrary empty point. When a named convention is supplied in a different primitive cell, its coordinate is mapped into the displayed reference cell by an exact affine cell transformation.

Projection, neighbour edges, and centres of selected surface-atom ensembles are established ways to generate reproducible candidate sites before symmetry reduction and energetic optimization. [3]

On a corrugated surface, the supporting atoms may sit at different heights. The site guides therefore report a local substrate reference \(\Delta z\); when an explicit support shell is listed, this is its mean height relative to the outermost layer. That number describes the metal atoms, not the adsorbate position. In every catalogue viewer, numbered sites are lifted to one shared schematic guide plane above the slab. That display height is deliberately not a predicted adsorption distance.

Coordination summarizes the chosen support shell

For an ideal geometric site, the catalogue coordination is the number of nearby substrate atoms assigned to its primary local environment. In familiar low-index cases this gives:

  • Ontop: one supporting atom.
  • Bridge: two supporting atoms.
  • Threefold hollow: three atoms surrounding a triangular opening.
  • Fourfold hollow: four atoms surrounding a square or rectangular opening.

This count is a geometric descriptor, not necessarily the number of points required to locate the coordinate: symmetry can define a fourfold channel centre from the midpoint of one opposing pair, for example. It is also not a complete bond analysis. After force-based structural optimization, bond lengths can become unequal and additional substrate atoms can enter the chemical coordination sphere. The same coordination number can hide different second-neighbour environments. Standard site names are therefore most useful when reported together with the facet, cell, and atomic registry. [4]

Ontop · 1One substrate atom defines the lateral projection.
Bridge · 2The periodic midpoint of a selected neighbouring pair.
Hollow · 3 or 4The centre of an explicit triangular or quadrilateral shell.
Ontop, bridge, threefold hollow, and fourfold hollow adsorption sites Teal circles are substrate atoms and coloured markers identify characteristic lateral sites. ontopbridgefourfoldthreefold
The diagram classifies lateral support geometry. It does not encode an adsorbate height, bond length, or binding energy.

Subsurface registry and morphology complete the label

On FCC(111), the two threefold hollows have the same top-layer coordination but different atoms beneath them. An HCP hollow lies above a second-layer atom; an FCC hollow lies above a third-layer atom and follows the continuation of the ABC stacking sequence. A top-layer drawing alone cannot distinguish them. On HCP(0001), analogous labels must be interpreted relative to the substrate’s ABAB stacking. [5]

High-index and open facets expose terraces, step edges, atomic rows, kinks, and troughs. A step bridge can join two ledge atoms, whereas a terrace bridge joins atoms within a flatter patch. Both are twofold in the primary shell, but their lower-layer registry and wider neighbourhood differ. Terms such as short bridge, long bridge, step ontop, trough, and kink should therefore be accompanied by coordinates or an explicit construction.

Surface symmetry removes redundant labels only when it maps the complete local environment onto itself, not merely the topmost pair or triangle. A changed surface motif, defect, coadsorbate, or molecular orientation can break a symmetry that the clean ideal surface possessed.

Coverage belongs to a declared periodic cell

Coverage states how much adsorbate is associated with a surface area or a declared monolayer capacity. Two useful quantities are an areal density and a normalized coverage:

\[\rho=\frac{N_{\mathrm{ads}}}{A},\qquad \theta=\frac{N_{\mathrm{ads}}}{N_{\mathrm{ML}}}.\]

Here \(A\) is the area of the decorated face and \(N_{\mathrm{ML}}\) is the number of adsorbates assigned to a complete monolayer on that same area. That capacity depends on the stated structural convention, for example, one adsorbate per exposed atom or per site in a named site family. “One monolayer” is therefore not self-defining on a stepped surface, a surface with a changed repeat, or a multicomponent surface. [6]

If a primitive cell contains one site of the chosen family, one adsorbate in a simple \((2\times2)\) supercell occupies one quarter of that periodic site population. Calling this \(1/4\) monolayer is justified only when one monolayer has been defined as one adsorbate per such site. For a slab decorated on both faces, state the number and coverage per face.

Periodic boundary conditions also fix the adsorbate–image separations. Measure the shortest periodic distances using the actual, possibly oblique, cell vectors. Two structures with the same named site but different cells can represent different coverages and different lateral interactions.

A constructed site is a candidate, not an energetic result

A geometric site is a reproducible starting configuration. During structural relaxation, a force-driven local optimization, the adsorbate may remain at that site, move laterally, change height or orientation, dissociate, or induce a different substrate motif. A bridge-like configuration may be a transition region rather than a minimum. The next concept page defines relaxation, reconstruction, and the potential-energy landscape in detail. [7]

The site description recordsIt does not guarantee
Lateral coordinate and support constructionA universal adsorbate height
Ideal local coordination and registryThat the geometry is a local minimum
Relation to a terrace, step, or troughThe same binding strength for every species
Coverage when the reference population is statedNegligible interaction between periodic images

Sources

References

  1. International Union of Pure and Applied Chemistry. Adsorption. Compendium of Chemical Terminology (the Gold Book). IUPAC definition. Accessed 2026-07-13.
  2. G. A. Somorjai and Y. Li (2010). Introduction to Surface Chemistry and Catalysis. 2nd ed., Wiley. Publisher record.
  3. J. H. Montoya and K. A. Persson (2017). A high-throughput framework for determining adsorption energies on solid surfaces. npj Computational Materials 3, 14. doi:10.1038/s41524-017-0017-z (open access).
  4. IUPAC Commission on Colloid and Surface Chemistry (1976). Definitions, terminology and symbols in colloid and surface chemistry, Part II: Heterogeneous catalysis. Pure and Applied Chemistry 46, 71–90. doi:10.1351/pac197646010071. Open full text.
  5. K. W. Kolasinski (2012). Surface Science: Foundations of Catalysis and Nanoscience. 3rd ed., Wiley. doi:10.1002/9781119941798.
  6. International Union of Pure and Applied Chemistry. Surface coverage. Compendium of Chemical Terminology (the Gold Book). IUPAC definition. Accessed 2026-07-13.
  7. A. Groß (2003). Theoretical Surface Science: A Microscopic Perspective. Springer. doi:10.1007/978-3-662-05041-5.