Low-index BCC · Rectangular net
BCC(110)
BCC(110) is the densest BCC face. Zig-zag rows pack more closely than on BCC(100), while the rectangular cell retains two inequivalent bridge directions.
- Plane
- (110)
- Layer character
- Flat · close packed for BCC
- ASE slab builder
bcc110
From bulk to facet
How BCC(110) is cut
(110)
The plane crosses x and y equally and remains parallel to z. It passes through both corner and body-centred sites, producing BCC's most closely packed surface.
- Bulk lattice
- Body-centred cubic
- Plane normal
- [110]
- What remains
- Rectangular net
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
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.
- ontop1-fold
Above an atom in a dense surface row.
(u,v) = (1/2, 0)s = s₁ · support shell: mean Δz = +0.000 Å from L1Projection of the L1 atom at (1/2, 0).
ASE keywordontop - short bridge2-fold
Between the closest pair along the compact direction.
(u,v) = (1/4, 1/4)s = (s₁ + s₂) / 2 · support shell: mean Δz = +0.000 Å from L1Periodic midpoint of L1 (1/2, 0) and L1 (0, 1/2).
ASE keywordshortbridge - long bridge2-fold
Between atoms across the rectangular channel.
(u,v) = (1/2, 1/2)s = (s₁ + s₂) / 2 · support shell: mean Δz = +0.000 Å from L1Periodic midpoint of L1 (1/2, 0) and L1 (1/2, 1).
ASE keywordlongbridge - hollow4-fold
In the asymmetric opening between rows.
(u,v) = (5/8, 1/2)exact ASE affine transform · support shell: mean Δz = +0.000 Å from L1ASE bcc110 hollow (3/8, 1/4), transformed from its primitive oblique cell into this rectangular cell.
ASE keywordhollow
Interactive model
Rotate the slab
Sites share a schematic display height · drag to rotate · hover for names
Below the top layer
Why the sites are different
Atoms in the first two layers interlock to form the dense row pattern; a single-layer view makes the net look more open than it is.
Cell
Geometry at a glance
The spacing is \(d_{110}=a/\sqrt{2}\). The outlined conventional rectangle spans \(a\sqrt{2}\) by \(a\) and contains the inequivalent short and long bridge directions.
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 bcc110
slab = bcc110("Fe", size=(3, 4, 6), a=2.87, vacuum=10)
Things that are easy to misread
- Calling BCC(100), rather than BCC(110), the close-packed BCC face.
- Treating short and long bridges as equivalent.