ewalena::Crystal Namespace Reference

Classes
class	CrystalFieldBase
	Base class for crystal fields of empirical moduli. More...
class	DielectricField
	Dielectric field. More...
class	ElasticField
	Elastic field. More...
class	FerroelectricField
	Ferroelectric field. More...
class	PiezoelectricField
	Piezoelectric field. More...
class	PyroelectricField
	Pyroelectric field. More...
Enumerations
enum	SymmetryFlag {   null = 0, triclinic = 0x0001, monoclinic = 0x0002, orthorhombic = 0x0003,   tetragonal = 0x0004, trigonal = 0x0005, hexagonal = 0x0006, cubic = 0x0007,   k32 = 0x0035 }
Functions
template<int dim, typename ValueType >
Tensor< dim, 2, ValueType >	contract (const CrystalFieldBase< dim, 4, ValueType > &T_a, const Tensor< dim, 2, ValueType > &T_b)
template<class STREAM >
STREAM &	operator<< (STREAM &stream, const SymmetryFlag symmetry_flag)

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Enumeration Type Documentation

enum ewalena::Crystal::SymmetryFlag

Crystal space groups are divided into seven systems according to their geometric symmetries. They are: triclinic, monoclinic, orthorhombic, tetragonal, trigonal (hexagonal-trigonal), hexagonal (hexagonal-hexagonal), and cubic.

     ewalena::Vector<double> moduli ();
     ewalena::Crystal::ElasticField elastic_field (moduli, ewalena::SymmetryFlag::cubic);
     elastic_field.distribute_moduli ();
     

Some tensors of empirical moduli are fully spcified by a crystal symmetry group (all classes are equivalent). Over specification of symmetry flags is allowed, but under specification is not. In other words, specifying specifying a...

In this case the following (over specified) declaration of the elastic field is equivalent to that above.

     ewalena::Crystal::ElasticField elastic_field (moduli, ewalena::SymmetryFlag::cubic, ewalena::SymmetryFlag::one);
     

Table - quick reference.

null	0
triclinic	1
monoclinic	2
orthorhombic	3
tetragonal	4
trigonal	5
hexagonal	6
cubic	7

Author:

Toby D. Young 2010, 2012.

Enumerator:

null	A null symmetry used do denote a unknown, unused, or no existing symmetry group.
triclinic	triclinic
monoclinic	monoclinic
orthorhombic	orthohombic
tetragonal	tetragonal
trigonal	hexagonal-trigonal
hexagonal	hexagonal-hexagonal
cubic	cubic
k32	32 (third group of trigonal)

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Function Documentation

template<int dim, typename ValueType >

Tensor<dim, 2, ValueType> ewalena::Crystal::contract	(	const CrystalFieldBase< dim, 4, ValueType > &	T_a,
		const Tensor< dim, 2, ValueType > &	T_b
	)		[inline]

Contract two tensors with normal ordering: .

template<class STREAM >

STREAM& ewalena::Crystal::operator<<	(	STREAM &	stream,
		const SymmetryFlag	symmetry_flag
	)		[inline]

Output stream operator that outputs the name of the symmetry flag.