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Open BCC · Wide channels

BCC(310)

BCC(310) is a gentler vicinal cut than BCC(210), with broader terrace regions between its raised rows and correspondingly wider channels.

Plane
(310)
Layer character
Stepped · row-like
ASE slab builder
surface

From bulk to facet

How BCC(310) is cut

(310) plane cutting through a Body-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)

Moving the normal closer to [100] increases the distance between equivalent ledges. The cut retains BCC's alternating corner/body-centre sequence.

Bulk lattice
Body-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 BCC(310) with numbered adsorption sites
The outlined reference cell has |a1| = 9.0757 Å, |a2| = 2.8700 Å, and γ = 90.00° for the Fe slab used in the drawing. Fractional coordinates mean r∥ = ua1 + va2.
  1. terrace ontop1-fold

    Above an atom within the terrace.

    (u,v) = (2/5, 1/2)s = s₁ · support shell: mean Δz = -1.815 Å from L1

    Projection of the L3 atom at (2/5, 1/2).

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

    Above an atom on the raised row.

    (u,v) = (3/10, 0)s = s₁ · support shell: mean Δz = +0.000 Å from L1

    Projection of the L1 atom at (3/10, 0).

    Not named in ASE
  3. lower-row ontop1-fold

    Above an exposed atom in the lower row.

    (u,v) = (1/10, 1/2)s = s₁ · support shell: mean Δz = -0.908 Å from L1

    Projection of the L2 atom at (1/10, 1/2).

    Not named in ASE
  4. row bridge2-fold

    Between neighbours along the raised row.

    (u,v) = (3/10, 1/2)s = (s₁ + s₂) / 2 · support shell: mean Δz = +0.000 Å from L1

    Periodic midpoint of L1 (3/10, 0) and L1 (3/10, -1).

    Not named in ASE
  5. terrace bridge2-fold

    Between adjacent atoms within the terrace.

    (u,v) = (1/10, 0)s = (s₁ + s₂) / 2 · support shell: mean Δz = -0.908 Å from L1

    Periodic midpoint of L2 (1/10, 1/2) and L2 (1/10, -1/2).

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

    Between atoms in raised and lower rows.

    (u,v) = (1/5, 1/4)s = (s₁ + s₂) / 2 · support shell: mean Δz = -0.454 Å from L1

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

    Not named in ASE
  7. channel fourfold pocket4-fold

    In the mixed-height channel between rows.

    (u,v) = (9/20, 1/2)s = (Σᵢ sᵢ) / 4 · support shell: mean Δz = -0.454 Å from L1

    Least-squares centroid of the 4-atom projected shell: L1 (3/10, 0), L1 (3/10, -1), L2 (3/5, 0), L2 (3/5, -1).

    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) directly shows how a smaller miscut increases terrace width without changing the basic ledge direction.

Side profile of BCC(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 BCC(310)
Layer registry viewed from above; opacity increases towards the surface.

Cell

Geometry at a glance

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

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

fe = bulk("Fe", "bcc", a=2.87, cubic=True)
slab = surface(fe, (3, 1, 0), 10, vacuum=10)
Things that are easy to misread
  • Interchanging the row and cross-row directions.
  • Comparing coverages without accounting for its larger surface cell.