International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

International Tables for Crystallography (2006). Vol. D, ch. 3.1, p. 374

Section 3.1.7. Glossary

J.-C. Tolédano,d* V. Janovec,b V. Kopský,e J. F. Scottc and P. Bočeka

dEcole Polytechnique, Route de Saclay, 91128 Palaiseau CEDEX, France,bDepartment of Physics, Technical University of Liberec, Hálkova 6, 461 17 Liberec 1, Czech Republic,eInstitute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, 182 21 Prague 8, and Department of Physics, Technical University of Liberec, Hálkova 6, 461 17 Liberec 1, Czech Republic,cEarth Sciences Department, University of Cambridge, Downing Street, Cambridge CB2 3EQ, England, and aInstitute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou věží 4, 182 08 Praha 8, Czech Republic
Correspondence e-mail:  toledano@hp1sesi.polytechnique.fr

3.1.7. Glossary

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(a) Groups

G point-group symmetry of the parent (prototype, high-symmetry) phase
[\cal G] space-group symmetry of the parent (prototype, high-symmetry) phase
F point-group symmetry of the ferroic (low-symmetry) phase (domain state not specified)
[{\cal F}] space-group symmetry of the ferroic (low-symmetry) phase (domain state not specified)
[F_1] point-group symmetry of the first ferroic single domain state
[{\cal F}_1] space-group symmetry of the first ferroic single domain state
[G \Downarrow F] point-group symmetry descent from G to F
[{\cal G} \Downarrow {\cal F}] space-group symmetry descent from [\cal G] to [{\cal F}]
[{\cal G} \Downarrow^{t} {\cal F}] equitranslational symmetry descent from [\cal G] to [{\cal F}]
[{\Gamma}_{\eta}] representation of [\cal G] (or of G) according to which [\eta] transforms
[D^{(\eta)}] irreducible matrix representation of the order parameter [\eta]
[\chi_{\eta}] character of the matrix representation [D^{(\eta)}]
R-irep physically irreducible representation
[n_F] number of subgroups conjugate under G to subgroup [F_1]
[n_f] number of ferroic single domain states
[n_{a}] number of ferroelastic single domain states
[n_{e}] number of ferroelectric single domain states

(b) Physical quantities

c specific heat
[d_{i{\mu}}] piezoelectric tensor
F, G free energy
[g_{\mu}] optical activity
[P_i] dielectric polarization
S entropy
[s_{ij}] elastic compliance
[T_c] Curie temperature
[u_{ij}], [u_{\mu}] strain tensor
V cell volume
[\chi] dielectric susceptibility
[\varepsilon] enantiomorphism, chirality
[\varepsilon_{ij}] high-frequency dielectric constant or permittivity
[\eta] order parameter (primary)
[\lambda] order parameter (secondary)
[\omega_{\rm LO}] longitudinal optic mode frequency
[\omega_{\rm TO}] transverse optic mode frequency
[\pi_{{\mu}{\nu}}] piezo-optic tensor

References

Chan, L. Y. Y. & Geller, S. (1977). Crystal structure and conductivity of 26-silver 18-iodine tetratungstate. J. Solid State Chem. 21, 331–347.
Peercy, P. S. (1975b). Measurement of the soft mode and coupled modes in the paraelectric and ferroelectric phases of KH2PO4. Phys. Rev. B, 12, 2741–2746.
Zhang, M.-S., Chen, Q., Sun, D., Ji, R.-F., Qin, Z.-K., Yu, Z. & Scott, J. F. (1988). Raman studies of phonon anomalies at 235 K in YBa2Cu3O7−x. Solid State Commun. 65, 487–490; see also Huang et al. (1987[link]).








































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