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Open FCC · Wide channels

FCC(310)

FCC(310) is a gentler tilt from (100) than (210), so its (100)-like terraces are wider. Straight rows bound elongated channels across the surface.

Plane
(310)
Layer character
Stepped · anisotropic
ASE slab builder
surface

From bulk to facet

How FCC(310) is cut

(310) plane cutting through a Face-centred cubic bulk unit cell
The coloured sheet is one translated member of the (310) plane family; translating it along its normal gives an equivalent termination.

(310)

The [310] normal is closer to [100] than [210] is. That smaller miscut produces wider (100)-like terraces before the next ledge.

Bulk lattice
Face-centred cubic
Plane normal
[310]
What remains
Wide channels

The plane is drawn through the centre so high-index cuts remain legible. Its orientation is what the indices specify, not its absolute position inside one cell.

Surface geometry

Read the surface from above

surface second layer third layer

L1 is the highest atom-bearing plane, followed by L2 and L3. Support coordinates outside 0–1 are periodic images. The listed Δz describes the supporting atoms, not the marker height. In the interactive model, every numbered site is placed on the same schematic guide plane above the slab; no adsorption distance or energetic ordering is implied.

Top view of FCC(310) with numbered adsorption sites
The outlined reference cell has |a1| = 11.4158 Å, |a2| = 3.6100 Å, and γ = 90.00° for the Cu slab used in the drawing. Fractional coordinates mean r∥ = ua1 + va2.
  1. terrace ontop1-fold

    Above an atom within the (100)-like terrace.

    (u,v) = (3/10, 0)s = s₁ · support shell: mean Δz = -0.571 Å from L1

    Projection of the L2 atom at (3/10, 0).

    Not named in ASE
  2. raised-row ontop1-fold

    Above a low-coordinate atom on the raised row.

    (u,v) = (3/20, 1/2)s = s₁ · support shell: mean Δz = +0.000 Å from L1

    Projection of the L1 atom at (3/20, 1/2).

    Not named in ASE
  3. row bridge2-fold

    Between neighbours along the raised row.

    (u,v) = (3/20, 0)s = (s₁ + s₂) / 2 · support shell: mean Δz = +0.000 Å from L1

    Periodic midpoint of L1 (3/20, 1/2) and L1 (3/20, 3/2).

    Not named in ASE
  4. terrace bridge2-fold

    Between adjacent atoms within the terrace.

    (u,v) = (3/10, 1/2)s = (s₁ + s₂) / 2 · support shell: mean Δz = -0.571 Å from L1

    Periodic midpoint of L2 (3/10, 0) and L2 (3/10, -1).

    Not named in ASE
  5. cross-row bridge2-fold

    Between the raised row and a terrace atom.

    (u,v) = (9/40, 1/4)s = (s₁ + s₂) / 2 · support shell: mean Δz = -0.285 Å from L1

    Periodic midpoint of L1 (3/20, 1/2) and L2 (3/10, 0).

    Not named in ASE
  6. terrace fourfold hollow4-fold

    At a four-atom opening within the terrace.

    (u,v) = (1/20, 1/2)s = (Σᵢ sᵢ) / 4 · support shell: mean Δz = -0.571 Å from L1

    Least-squares centroid of the 4-atom projected shell: L2 (3/10, 0), L2 (3/10, -1), L2 (-1/5, 0), L2 (-1/5, -1).

    Not named in ASE
  7. channel fourfold hollow4-fold

    In the fourfold channel between rows.

    (u,v) = (7/20, 1/2)s = (Σᵢ sᵢ) / 4 · support shell: mean Δz = -0.285 Å from L1

    Least-squares centroid of the 4-atom projected shell: L1 (3/20, 1/2), L1 (13/20, 1/2), L2 (3/10, 0), L2 (3/10, 1).

    Not named in ASE
  8. step pocket3-fold

    A mixed-height pocket beside the raised row.

    (u,v) = (3/10, 1/3)s = (Σᵢ sᵢ) / 3 · support shell: mean Δz = -0.571 Å from L1

    Least-squares centroid of the 3-atom projected shell: L1 (3/20, 3/2), L2 (3/10, 1), L3 (9/20, 3/2).

    Not named in ASE

Interactive model

Rotate the slab

Sites share a schematic display height · drag to rotate · hover for names

Building the model…

Below the top layer

Why the sites are different

Comparing (210) and (310) shows how increasing the first index widens the terrace while retaining the same broad step direction.

Side profile of FCC(310) showing its first repeating atomic layers
Side profile showing one compact stacking repeat. The dashed line follows the macroscopic surface plane.
Layer registry of FCC(310)
Layer registry viewed from above; opacity increases towards the surface.

Cell

Geometry at a glance

Here \(d_{310}=a/\sqrt{10}\), and the angle between [310] and [100] is \(\cos^{-1}(3/\sqrt{10})\approx18.4^\circ\).

A site name describes the ideal starting geometry. Relaxation can move an adsorbate away from it.

Practical model

Build it with ASE

The builder creates the slab. Sites marked ASE keyword can be passed directly as a named position; ASE source marks current but inconsistently documented support. Other sites require explicit Cartesian coordinates converted from the fractional construction above.

from ase.build import bulk, surface

cu = bulk("Cu", "fcc", a=3.61, cubic=True)
slab = surface(cu, (3, 1, 0), layers=8, vacuum=10)
Things that are easy to misread
  • Interchanging the long and short in-plane directions.
  • Using a square supercell notation for a fundamentally rectangular repeat.