Introduction
Authier, A. and

Zarembowitch, A.,

International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.4.6.1,
p.

[ doi:10.1107/97809553602060000902 ]
properties
As mentioned in Section

**1.3.4.1**, the elastic constants of a material can be obtained by the elastic response of the material to particular static forces; however, such measurements are not precise and the most often used ...

Equation of propagation of a wave in a material
Authier, A. and

Zarembowitch, A.,

International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.4.2,
p.

[ doi:10.1107/97809553602060000902 ]
. The components of the wavevector are With this relation and (

**1.3.4.2**), the system (

**1.3.4.5**) becomes Putting in (

**1.3.4.6**), the condition that the Christoffel determinant is zero can be written
On account of the intrinsic ...

Experimental determination of elastic constants
Authier, A. and

Zarembowitch, A.,

International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.4.6,
p.

[ doi:10.1107/97809553602060000902 ]
properties

**1.3.4.6.1**. Introduction
| top | pdf |
As mentioned in Section

**1.3.4.1**, the elastic constants of a material can be obtained by the elastic response of the material to particular static forces; however ...

Tetragonal crystals (classes , , )
Authier, A. and

Zarembowitch, A.,

International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.4.5.3,
p.

[ doi:10.1107/97809553602060000902 ]
to The three solutions are given in Table

**1.3.4.6** .
Table

**1.3.4.6** | top | pdf |
Velocity of propagation when the wavevector is parallel to [001] (tetragonal crystals)
Velocity of propagation ...

Pulse-echo techniques
Authier, A. and

Zarembowitch, A.,

International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.4.6.3,
p.

[ doi:10.1107/97809553602060000902 ]
to the required precision (McSkimmin, 1964). In the simplest version (Fig.

**1.3.4.2**), an electronic pulse generator excites the mechanical vibrations of a piezo-electric transducer glued to one of two plane-parallel faces of a specimen. An ultrasonic pulse ...

Dynamic elastic stiffnesses
Authier, A. and

Zarembowitch, A.,

International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.4.3,
p.

[ doi:10.1107/97809553602060000902 ]
properties
Equation (

**1.3.4.7**) may be written
This shows that in a dynamic process only the sums can be measured and not and separately. On the contrary, can be measured directly. In the cubic system therefore ...

Introduction
Authier, A. and

Zarembowitch, A.,

International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.4.1,
p.

[ doi:10.1107/97809553602060000902 ]
frequencies. The experimental techniques will be described in Section

**1.3.4.6** .
The purpose of the next sections is to establish relations between the wavelength – or the velocity of propagation – and the elastic constants.
References ...

Cubic crystals
Authier, A. and

Zarembowitch, A.,

International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.4.5.1,
p.

[ doi:10.1107/97809553602060000902 ]
properties
(i) The wavevector is parallel to [100] . The Christoffel determinant reduces to The three solutions are given in Table

**1.3.4.1** . These results are valid for a wave propagating in any direction ...

Polarization of the elastic waves
Authier, A. and

Zarembowitch, A.,

International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.4.4,
p.

[ doi:10.1107/97809553602060000902 ]
...

Hexagonal crystals
Authier, A. and

Zarembowitch, A.,

International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.4.5.2,
p.

[ doi:10.1107/97809553602060000902 ]
to The solutions are given in Table

**1.3.4.4** .
Table

**1.3.4.4** | top | pdf |
Velocity of propagation when the wavevector is parallel to [001] (hexagonal crystals)
Velocity of propagation ...