Low Frequency Properties of Dielectric Crystals
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1 Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series I Editor in Chief: O. Madelung Group III: Solid State Physics Volume 29 Low Frequency Properties of Dielectric Crystals Subvolume b Piezoelectric, Pyroelectric and Related Constants Editor: D.F. Nelson Contributors: A.S. Bhalla, W.R. Cook, jr., S.T. Liu Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest
2 Table of contents Low frequency properties of dielectric crystals Subvolume b: Piezoelectric, pyroelectric and related constants 3 Piezoelectric, electrostxictive and dielectric constants, and electromechanical coupling factors of piezoelectric crystals (W.R. COOK, jr.) Introduction Notation, units and abbreviations General remarks Basic relations. Symbols, definitions and units for piezoelectric coefficients Methods of measurement Electromechanical coupling factors Electrostriction Arrangement of tables General data on crystals, ceramics and polymers Tables of relative dielectric constants (numeric) Cubic (isometric), rn3m (Oh) Cubic (isometric), 43m (T d ) Cubic (isometric), m3 (T h ) Cubic (isometric), 23 (T)._ Hexagonal, 6/mmm (D 6h ), 622 (D 6 ), and 6m2 (D 3h ) Hexagonal, 6mm (Сб У ) Symmetry m (CoovX poled ceramics Symmetry m (C o V ). Polymer sheet, poled Hexagonal, 6 (C 6 ) Symmetry (CJ Trigonal, 32/m (D 3d ) Trigonal (rhombohedral), 32 (D 3 ) Trigonal, 3m (C 3v ) Trigonal (rhombohedral), 3 (C 3 ) Tetragonal, 422 (D 4 ) Tetragonal, 42m (D 2 d) Tetragonal, 4jrim (C 4v ) Tetragonal, 4 (S 4 ), 4 (C 4 ) Orthorhombic, mmm (D 2 h) Orthorhombic, 222 (D 2 ) Orthorhombic, mm2 (C 2v ) Orthorhombic, mm2 (C 2v ) Monoclinic, 2/m (C 2h ) Monoclinic, 2 (C 2 ) Monoclinic, m (C s ) Triclinic, 1 (Q) Tables of temperature coefficients of dielectric constants Cubic (isometric), 43m (T d ), 23 (T) Hexagonal, 6mm (C(, v ), 6 (Сб), and m (C, v ), poled ceramics Trigonal (rhombohedral), 32 (D 3 ) Trigonal (rhombohedral), 3m (C 3v ) Tetragonal, 42m (D 2d ) and 4mm (C 4v ) Orthorhombic, 222 (D 2 ), mm2 (C 2v ) 98
3 VIII Table of contents Monoclinic, 2 (C 2 ) Tables of piezoelectric constants Cubic (isometric), 43m (T d ) Electromechanical coupling factors Ai M (numeric) Piezoelectric strain coefficients d\p, Piezoelectric stress coefficients e\ v Piezoelectric strain coefficients g\^ Piezoelectric stress coefficients h^ Cubic (isometric), 23 (T) Electromechanical coupling factors k\ v (numeric) Piezoelectric strain coefficients d\ v Piezoelectric stress coefficients e\\ and h\$ and piezoelectric strain coefficient gu Hexagonal, 622 (D 6 ) Hexagonal, 6m2 (D 3h ) Hexagonal, 6mm (Сб У ) Electromechanical coupling factors k\p (numeric) Piezoelectric strain coefficients d\ v Piezoelectric stress coefficients e\^ Symmetry m (C, v ), poled ceramics Electromechanical coupling factors k^ (numeric) Piezoelectric strain coefficients d\ v Piezoelectric stress coefficients e\ v Piezoelectric strain coefficients gi p Piezoelectric stress coefficients к\ ц Symmetry оощ (С теу ), polymer sheet, biaxially stretched Electromechanical coupling factors Aty (numeric) Piezoelectric strain coefficients d\p Piezoelectric stress coefficients e\ v Piezoelectric strain coefficients g\ v Piezoelectric stress coefficients h\ v Hexagonal, 6 (C 6 ) Electromechanical coupling factors ^(numeric) Piezoelectric strain coefficients d\ v Piezoelectric stress coefficients e\ v Piezoelectric strain coefficients g\ v Symmetry (C M ), piezoelectric polymers Piezoelectric strain coefficients d^ Piezoelectric stress coefficients ец and A14, and piezoelectric strain coefficient g\ Trigonal (rhombohedral), 32 (D 3 ) Electromechanical coupling factors k\ v (numeric) Piezoelectric strain coefficients d\ v Piezoelectric stress coefficients ej p Piezoelectric strain coefficients g\^ and piezoelectric stress coefficients A^ Trigonal (rhombohedral), 3m (C 3v ) Electromechanical coupling factors k\ v (numeric) Piezoelectric strain coefficients d\ v Piezoelectric stress coefficients e^ 147
4 Table of contents IX Piezoelectric strain coefficients g\p Piezoelectric stress coefficients h^ Trigonal (rhombohedral), 3 (C 3 ) Electromechanical coupling factors k\ v (numeric) Piezoelectric strain coefficients d^ Piezoelectric stress coefficients e\ v Tetragonal, 422 (D 4 ) Tetragonal, 42m (D 2d ) Electromechanical coupling factors k\p (numeric) Piezoelectric strain coefficients d^ Piezoelectric stress coefficients e^ Piezoelectric strain coefficients gi v Piezoelectric stress coefficients h\p Tetragonal, 4mm (C 4v ) Electromechanical coupling factors k\a (numeric) Piezoelectric strain coefficients d\ v Piezoelectric stress coefficients e^ Piezoelectric strain coefficients g\p Piezoelectric stress coefficients Ai p Tetragonal, 4 (S 4 ) Tetragonal, 4 (C 4 ) Orthorhombic, 222 (D 2 ) Electromechanical coupling factors кы (numeric) Piezoelectric strain coefficients d^ Piezoelectric stress coefficients e^ Piezoelectric strain coefficients gi p Piezoelectric stress coefficients h^ Orthorhombic, mm2 (C 2v ) Electromechanical coupling factors /Ц, (numeric) Piezoelectric strain coefficients d\ v Piezoelectric stress coefficients e\ v Piezoelectric strain coefficients g\ v Piezoelectric stress coefficients h\ v Orthorhombic, mm2 (C 2v ), piezoelectric polymers Electromechanical coupling factors ^(numeric) Piezoelectric strain coefficients d\ v Piezoelectric stress coefficients e^ Piezoelectric strain coefficients g\? Monoclinic, 2 (C 2 ) Electromechanical coupling factors fy, (numeric) Piezoelectric strain coefficients d\ v Piezoelectric stress coefficients e^ Piezoelectric strain coefficients gi M Monoclinic, m (C s ) Electromechanical coupling factors k\p (numeric) Piezoelectric strain coefficients d\ v Piezoelectric strain coefficients g\ v Triclinic, 1 (Ci) Electromechanical coupling factors k\ v (numeric) Piezoelectric strain coefficients d\ v Piezoelectric strain coefficients g\ v 182
5 X Table of contents 3.6 Tables of temperature coefficients of piezoelectric coefficients Cubic (isometric), 43m (T d ) Temperature coefficients of du and ej Cubic (isometric), 23 (T) Temperature coefficients of d\$ Hexagonal, 622 (D 6 ) Temperature coefficients of d\$ Hexagonal, 6mm (Сб У ) Temperature coefficients of e\p Symmetry m (C^v), poled ceramics Temperature coefficients of ^ Temperature coefficients of e^ Hexagonal, 6 (C 6 ) Temperature coefficients of &i p Temperature coefficients of e\ p Trigonal (rhombohedral), 32 (D 3 ) Temperature coefficients of d\ v and e^ Trigonal (rhombohedral), 3m (C 3v ) Temperature coefficients of к\ ц Temperature coefficients of d\ v Temperature coefficients of e\ v Tetragonal, 42m (D 2 d) Temperature coefficients of jfejj, Temperature coefficients of d\p Temperature coefficients of e\ p Tetragonal, 4mm (C 4v ) Temperature coefficients of к\ ц Temperature coefficients of d\p Temperature coefficients of e^ Orthorhombic, 222 (D 2 ) Temperature coefficients of d\ v Orthorhombic, mm2 (C 2v ) Temperature coefficients of d\ v Temperature coefficients of e^ Monoclinic, 2 (C 2 ) Temperature coefficients of d\ v Tables of electrostrictive coefficients a Cubic, m3m (O h ) b Temperature coefficients of Q Cubic, 43m (T d ) Cubic (isometric), m3 (T h ) Cubic (isometric), 23 (T) Symmetry <»m (C^v), ceramics Hexagonal, 6 (C 3h )._ Trigonal (rhombohedral), 32/m (D 3d ) Tetragonal, 4/mmm (D 4h ) Tetragonal, 422 (D 4 ) Tetragonal, 42m (D 2d ) Tetragonal, 4mm (C 4v ) Orthorhombic, mmm (D 2h ) Orthorhombic, 222 (D 2 ) 202
6 Table of contents XI Orthorhombic, mm2 (C 2v ) Monoclinic, 2/m (C 2 ) Monoclinic, 2 (C 2 ) Figures Bibliography Books and review articles Journals Pyroelectric coefficients (A.S. BHALLA, S.T. LIU) Introduction Symbols and units General remarks Pyroelectric equations of state and definition of pyroelectric coefficients Methods for determination of pyroelectric coefficients Arrangement of tables Tables Pyroelectrics with known primary and secondary coefficients Pyroelectric coefficients of non-ferroelectric pyroelectrics Pyroelectric coefficients of ferroelectric pyroelectrics Pyroelectric coefficients of liquid crystals and composites Materials without measured pyroelectric coefficients Figures and individual tables Bibliography Books and review articles References Index of substances for Volumes III/29a, b Alphabetical index of element systems Alphabetical index of names 502 Subvolume a: Second and higher order elastic constants 1 The elastic constants of crystals Introduction Tables Elastic constants s pa, с ро Temperature coefficients Tc pa Pressure coefficients Pc pc Figures Bibliography The third and higher-order elastic constants Introduction Tables of third-order stiffnesses Tables of fourth-order stiffnesses Figures Bibliography Index of substances 683
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