Visualize the Invisible

An interactive 3D playground for solid-state physics. Explore unit cells, lattice structures, and symmetry operations directly in your browser.

Cubic System

Simple Cubic Lattice

Simple Cubic Lattice

Explore the Simple Cubic (SC) lattice, also known as Primitive Cubic. This fundamental crystal structure has atoms only at the corners of the cube with a coordination number of 6. Common in Polonium (Po).

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Cubic System

Body-Centered Cubic (BCC)

Body-Centered Cubic (BCC)

Body-Centered Cubic (BCC) structure features one atom at the center of the cube and eight corner atoms. Coordination number: 8. Used by alkali metals and transition metals like iron at room temperature.

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Cubic System

Face-Centered Cubic (FCC)

Face-Centered Cubic (FCC)

Face-Centered Cubic (FCC) is a close-packed structure with atoms at each corner and the center of all cube faces. Coordination number: 12. Highest packing efficiency (74%) among cubic systems.

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Ionic Compound

Sodium Chloride (NaCl) - Rock Salt

Sodium Chloride (NaCl) - Rock Salt

The classic rock salt structure: two interpenetrating FCC lattices of Na⁺ and Cl⁻ ions. Coordination: 6:6. The most common structure for 1:1 ionic compounds.

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Ionic Compound

Cesium Chloride (CsCl)

Cesium Chloride (CsCl)

CsCl features a primitive cubic lattice with a two-atom basis (Cs⁺ at center, Cl⁻ at corners or vice versa). Coordination: 8:8. Common when cation and anion sizes are similar.

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Tetragonal System

Simple Tetragonal Lattice

Simple Tetragonal Lattice

A cubic lattice stretched or compressed along one axis (c ≠ a). Used in materials like Tin (white tin) and Indium.

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Orthorhombic System

Simple Orthorhombic Lattice

Simple Orthorhombic Lattice

All axes unequal (a ≠ b ≠ c) with 90° angles. Forms a rectangular prism.

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Monoclinic System

Simple Monoclinic Lattice

Simple Monoclinic Lattice

One angle ≠ 90° (usually β), like a distorted or sheared box.

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Triclinic System

Triclinic Lattice

Triclinic Lattice

All axes unequal, all angles ≠ 90°. The least symmetric of the 7 crystal systems.

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Hexagonal System

Hexagonal Lattice

Hexagonal Lattice

Features a primitive cell with a 120° angle in the basal plane. Basis for Hexagonal Close-Packed (HCP) metals like Magnesium and Zinc.

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Rhombohedral System

Rhombohedral (Trigonal) Lattice

Rhombohedral (Trigonal) Lattice

A primitive lattice where all sides are equal but angles ≠ 90°. Can be viewed as a stretched/skewed cube. Also called Trigonal.

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3D Manipulation

Rotate, zoom, and pan around crystal lattices to understand their geometry from every angle.

Reciprocal Space

Visualize Brillouin Zones and reciprocal lattice vectors alongside real-space structures.

Supercells

Expand unit cells into larger supercells (NxNxN) to see bulk material properties.

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