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Table 1 Summary representing some of the relevant reports on the growth of single crystals via the SSCG method

From: Current status of solid-state single crystal growth

Category

Formula

Seed

Growth conditions

Crystal size

Key parameters

Application

Refs.

Pb-based piezoelectrics

PMN‒PT

(001) PMN–PT

Hot pressing in excess PbO (880‒900 °C, 30 min, 20 MPa), then annealing in air (1150 °C, 0‒10 h)

Increase of k with increase of PbO up to 3 vol.%; decrease of k with PbO larger than 3 vol.%

Transducers and actuators for military and medical application

[45]

 

Undoped and Mn-doped

PMN‒PT

BZT

Hot pressing to obtain ceramics, then annealing at high temperatures

(30 × 30 × 5) mm3

KT3, d33, tan δ - 50% decrease, EC - 150% increase, and Qm - 500% increase compared to PMN‒PT ceramics

High-power piezoelectric transducers

[46]

 

PMN‒PT

BaTiO3

Hot pressing to obtain ceramics, then annealing at high temperatures

> 1.5 inch

(~ 38 mm)

Chemically homogeneous, high-density single crystal

[48]

 

BS–PMN–PT

(110) BZT

Annealing (1050 °C, 100 h) with PbO/Bi2O3 flux and embedded seed

500–1000 μm

Good chemical stability, no migration of ions between the seed and the grown single crystal

Electromechanical devices operated at elevated temperatures

[49]

 

Mn‒PMN‒PZT

BZT

Heat treatment of pre-sintered ceramics with seed on top

(15 × 15 × 5) mm3

TRT = 145 °C; EC = 6.3 kV/cm;

k33 > 0.9; d33 = 850‒1100 pC/N

High-power piezoelectric applications (sonar transducers, medical ultrasonic devices, ultrasonic motors)

[8]

Pb-free piezoelectrics

KNN

(110) KTaO3

Two-step sintering in hot press (975 °C, 2 h, 50 MPa, then 1100 °C, 100 h, 50 MPa) with K4CuNb8O23 as sintering aid and embedded seed

1890 µm

Porosity and pore size significantly reduced (from 100 to 1‒2 µm) by hot pressing

Pb-free replacement for PZT piezoelectrics

[52]

 

KNN‒BCuN

No seed

Sintering (1120 °C, 2 h) with CuO as sintering aid and BaCO3 to compensate for the Na+ loss

1.3 cm

g33 = 131 × 10−3 Vm/N

Piezoelectric sensors and energy harvesting devices

[58]

 

(K0.45Na0.55)0.96Li0.04NbO3

No seed

Sintering in air (1080 °C, 10 h)

(6 × 5 × 2) mm3

TC = 432 °C; d33 = 689 pC/N; d*33 = 967 pm/V

High-performance Pb-free piezoelectrics

[59]

 

CaZrO3‒Na0.5K0.5NbO3

No seed

Sintering in air (1090–1115 °C, 15 h)

2 cm

TC = 391 °C; d33 = 488 pC/N

[60]

 

NBT‒BT‒KNN

(110) SrTiO3

Sintering (800 °C, 50 h) with embedded seed

(6 × 6 × 8) mm3

(001)-oriented NBT‒BT‒KNN: Smax = 0.57% and d*33 = 1050 pm/V at 7 kV/mm

Replacement for Pb-based piezoelectrics

[63]

 

NBT‒BT‒KNN

(110) SrTiO3

Pre-sintering of ceramics (950 °C, 10 min), then annealing in air (900 °C, 30 h) with seed on top

(3 × 3 × 0.8) mm3

ρ = 96.9%; Smax = 0.67% and d*33 = 1670 pm/V at 4 kV/mm

High-stroke actuator applications

[65]

Ferroelectrics

BaTiO3

No seed

SiO2 slurry (additive) dropped on BaTiO3 green body; sintering in air (1370 °C, 80 h)

1.5 cm

k > 200 µm/h

[72]

 

BZT

BaTiO3

Pre-sintering of ceramics, then annealing for 100 h with seed on top

(25 × 25 × 5) mm3

(001)-oriented BZT: k33 = 0.85, d33 ~ 950 pC/N, g33 = 41 × 10−3 Vm/N

Actuators, sensors, transducers

[77]

Al-based oxides

Al2O3

No seed

Sintering in H2 atmosphere (1880 °C) with MgO as sintering aid

up to 30 cm

k ~ 1.5 cm/h; average grain boundary mobility ~ 2 × 10−10 m3/(N s)

[80]

 

Al2O3 film

c-sapphire

Heat-treating of spin-coated film sample in air (1025 °C, 18 h)

up to 2 µm thickness

k(c-plane) = 5 × 10−2 nm/s; k(r-plane) = 4 × 10−1 nm/s

Patterned single crystal substrates

[86]

 

Nd:YAG

(111) YAG;

(110) YAG;

(100) YAG

Pre-sintering of ceramics in vacuum (1550 °C, 3 h), then annealing in vacuum

3‒5 mm

η = 63% (2.4 at. % Nd:YAG)

Solid-state lasers

[42]

Other oxides

La9.33Si6O26

(001) La9.33Si6O26

Pre-sintering of ceramics in air (1500 °C, 2 h), then annealing with seed on top (1725 °C, 2 h)

Conductivity component parallel to the c-axis was ~ 100 times higher than the perpendicular

[90]

 

LaFeAsO

No seed

Sintering of ceramics with Na-As as sintering aid (1080 °C, 200 h)

(2 × 3 × 0.4) mm3

Splitting of two transitions at TSDW = 127 K and TS = 145 K; linear behavior of magnetization as a function of magnetic field

High-temperature superconductor

[93]

  1. Sign "–" denotes that the information was not provided in the reference
  2. k, growth constant; KT3, dielectric constant; d33, piezoelectric charge constant; tan δ, dielectric loss; EC, coercive electric field; Qm, electromechanical quality factor; k33, electromechanical coupling factor; TRT, transition temperature between rhombohedral and tetragonal phases; TC, Curie temperature; g33, piezoelectric voltage coefficient; d*33, effective piezoelectric coefficient; Smax, maximum strain; ρ, relative density; η, optical slope efficiency; TSDW, temperature of emergence of the spin-density wave; TS, structural transition temperature