
Unique Chemical and Physical Properties of Terbium Among Rare Earth Elements
Terbium (Tb), atomic number 65, sits between gadolinium (Gd) and dysprosium (Dy) in the lanthanide series. Among rare earth elements, terbium stands out for its rare combination of magnetic and optical properties—it is simultaneously one of the elements with the strongest magnetostrictive response and one of the most efficient green luminescent centers.
I. Physical Properties: The “Midpoint Advantage”
Basic Properties: Density 8.23 g/cm³, melting point 1356°C, boiling point 3230°C. Among heavy rare earths, terbium’s density is lower than dysprosium (8.54 g/cm³) and erbium (9.07 g/cm³), but higher than gadolinium (7.90 g/cm³).
Electronic Structure: [Xe]4f⁹6s², with 9 unpaired 4f electrons. This configuration gives terbium a significant effective magnetic moment and strong ferromagnetic behavior at low temperatures.
Magnetostriction — Terbium’s Signature Property: The alloy Terfenol-D (Tb₀.₃Dy₀.₇Fe₂) exhibits room-temperature magnetostriction of approximately 2700×10⁻⁶, roughly two orders of magnitude larger than conventional iron-based alloys. This arises from the anisotropy compensation between TbFe₂ and DyFe₂ Laves phases.

Comparison with Other Heavy Rare Earths:
| Element | Density (g/cm³) | Melting Point (°C) | 4f Electrons | Key Magnetic Role |
| Tb | 8.23 | 1356 | 9 | Giant magnetostriction + high coercivity |
| Dy | 8.54 | 1407 | 10 | High magnetic moment |
| Ho | 8.80 | 1461 | 10 | Maximum theoretical moment |
| Er | 9.07 | 1529 | 12 | Fiber amplification |
| Gd | 7.90 | 1312 | 7 | Magnetic refrigeration |

II. Chemical Properties: The “+3/+4 Dual Oxidation State”
Terbium’s common oxidation states are +3 and +4, with +3 being most stable. The +4 oxide (Tb₄O₇) is brown, containing mixed-valence terbium ions. Metal terbium is silvery-white, malleable, and soft enough to be cut with a knife. It is relatively stable in air, forming a slightly yellowish oxide film, but corrodes readily at high temperatures.
Luminescence — The 543 nm Green Window: Trivalent terbium (Tb³⁺) produces narrow-band green emission centered around 543 nm with millisecond radiative lifetime. Quantum efficiency in optimized systems reaches 94.50%. In Ce³⁺→Tb³⁺ energy transfer systems, transfer efficiency reaches up to 59.1%. This 543 nm emission underpins the green phosphor component in triband fluorescent lamps and high-quality white LEDs.

III. Market Trends
As of September 2026, terbium oxide prices stood at RMB 6.625 million/tonne, down 1.92% over two weeks. Metal terbium was quoted at RMB 6.65 million/tonne. In April 2026, European terbium prices reached $4,150/kg, the highest since 2015, driven by aerospace and defense demand.
