Physik Instrumente PI CAT125E R3 Piezoelectric Ceramic Products

PI_CAT125E_R3_Piezoelectric_Ceramic_Products Fundamentals of Piezo Technology

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Piezoelectric
Ceramic Products
FUNDAMENTALS, CHARACTERISTICS AND APPLICATIONS

PIEZOCERAMIC
MATERIALS

COMPONENTS

INTEGRATION

PIEZO TECHNOLOGY

Contents
PI Ceramic – Leaders in Piezoelectric Technology.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 3
Product Overview .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 6
Fundamentals of Piezo Technology
Piezoelectric Effect and Piezo Technology .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 8
Electromechanics. .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 10
Dynamic Behavior.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 12
Piezo Ceramics – Materials, Components, Products
Material Properties and Classification.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 14
Soft and Hard Piezo Ceramics. .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 14
Lead-Free Materials. .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 15
Overview.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 16
Material Data .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 18
Temperature Dependence of the Coefficients.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 20
Manufacturing Technology
Pressing Technology.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 22
Co-firing, Tape Technology, Multilayer .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 23
Flexibility in Shape and Design. .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 24
PICMA® Multilayer Actuators with Long Lifetime.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 25
Metallization and Assembling Technology . .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 26
Piezo Ceramic Components: Dimensions.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 27
Testing Procedures .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 30
Integrated Components, Sub-Assemblies. .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 31
Applications
Application Examples for Piezoceramic Elements.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 32
Pumping and Dosing Techniques with Piezo Drives. .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 33
Ultrasound Applications in Medical Engineering . .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 34
Ultrasonic Sensors.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 35
Piezoelectric Actuators. .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 37
Vibration Control .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 39
Adaptronics. .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 40
Energy from Vibration – Energy Harvesting .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 40
Ultrasonic Machining of Materials.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 41
Sonar Technology and Hydroacoustics .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 41
PI Milestones.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 42
.

2

W W W. P I C E R A M I C . C O M

PI Ceramic
LEADERS IN PIEZOELECTRIC TECHNOLOGY

PI Ceramic is one of the world’s market lead­ers for piezoelectric actuators and sensors. PI
Ceramic provides everything related to piezo
ceramics, from the material and components
right through to the complete integration.
PI Ceramic provides system solutions for
research and industry in all high-tech markets including medical engineering, mechanical engineer­ing and automobile manufacture, or semiconductor technology.

Core Competences
of PI Ceramic
!

!
!

Materials Research and Development
PI Ceramic develops all its piezoceramic
materials itself. To this end PI Ceramic maintains its own laboratories, prototype manufacture as well as measurement and testing
stations. Moreover, PI Ceramic works with
leading universities and research institutions
at home and abroad in the field of piezoelectricity.
Flexible Production
In addition to the broad spectrum of standard
products, the fastest possible realization of
customer-specific requirements is a top priority. Our pressing and multilayer technology
enables us to shape products with a short
lead time. We are able to manufacture individual prototypes as well as high-volume
production runs. All processing steps are
undertaken in-house and are subject to continuous controls, a process which ensures
quality and adherence to deadlines.

Certified Quality
Since 1997, PI Ceramic has been certified
according to the ISO 9001 standard, where
the emphasis is not only on product quality but primarily on the expectations of the
customer and his satisfaction. PI Ceramic
is also certified according to the ISO 14001
(environmental management) and OHSAS
18001 (occupational safety) standards,
which taken together, form an Integrated
Management System (IMS). PI Ceramic is
a subsidiary of Physik Instrumente (PI) and
develops and produces all piezo actuators for
PI’s nanopositioning systems. The drives for
PILine® ultrasonic piezomotors and NEXLINE®
high-load stepping drives also originate from
PI Ceramic.

!

!

!

!

 tandard piezo comS
ponents for actuators,
ultrasonic and sensor
applications
System solutions
 anufacturing of piezoM
electric components of
up to several million
units per year
Development of
custom-engineered
solutions
 igh degree of flexibiH
lity in the engineering
process, short lead
times, manufacture of
individual units and
very small quantities
 ll key technologies
A
and state-of-the-art
equipment for ceramic
production in-house
 ertified in accordance
C
with ISO 9001,
ISO 14001 and OHSAS
18001

Company building of PI Ceramic in Lederhose, Thuringia, Germany.

3

PIEZO TECHNOLOGY

Reliability and Close Contact with our Customers
OUR MISSION

PI Ceramic provides
!

!

!

!

!
!

!

!
!

!

 iezoceramic materials
P
(PZT)
Piezoceramic
components
 ustomized and appliC
cation-specific ultrasonic
transducers/transducers
PICMA® monolithic
multilayer piezo actuators
Miniature piezo actuators
 ICMA® multilayer
P
bender actuators
 ICA high-load piezo
P
actuator
PT Tube piezo actuators
 reloaded actuators
P
with casing
 iezocomposites –
P
DuraAct patch
transducers

Our aim is to maintain high, tested quality for both our standard products and for
custom-engineered components. We want
you, our customers, to be satisfied with the
performance of our products. At PI Ceramic,
customer service starts with an initial informative discussion and extends far beyond
the shipping of the products.
Advice from Piezo Specialists
You want to solve complex problems – we
won’t leave you to your own devices. We
use our years of experience in planning,
developing, designing and the production
of individual solutions to accompany you
from the initial idea to the finished product.
We take the time necessary for a detailed
understanding of the issues and work out
a comprehensive and optimum solution at
an early stage with either existing or new
technologies.

4

W W W. P I C E R A M I C . C O M

After-Sales Service
Even after the sale has been completed,
our specialists are available to you and can
advise you on system upgrades or technical
issues. This is how we at PI Ceramic achieve
our objective: Long-lasting business relations and a trusting communication with
customers and suppliers, both of which
are more important than any short-term
success.
PI Ceramic supplies piezo-ceramic solutions
to all important high-tech markets:
!

Industrial automation

!

Semiconductor industry

!

Medical engineering

!

Mechanical and precision engineering

!

Aviation and aerospace

!

Automotive industry

!

Telecommunications

Experience and Know-How
STATE-OF-THE-ART MANUFACTURING TECHNOLOGY

Developing and manufacturing piezoceramic components are very complex processes.
PI Ceramic has many years of experience in
this field and has developed sophisticated
manufacturing methods. Its machines and
equipment are state of the art.
Rapid Prototyping
The requirements are realized quickly and
flexibly in close liaison with the customer.
Prototypes and small production runs of
custom-engineered piezo components are
available after very short processing times.
The manufacturing conditions, i.e. the
composition of the material or the sintering
temperature, for example, are individually
adjusted to the ceramic material in order to
achieve optimum material parameters.
Precision Machining Technology
PI Ceramic uses machining techniques from
the semiconductor industry to machine the
sensitive piezoceramic elements with a

particularly high degree of precision. Special milling machines accurately shape the
components when they are still in the “green
state“, i.e. before they are sintered. Sintered
ceramic blocks are machined with precision
saws like the ones used to separate indivi­
dual wafers. Very fine holes, structured
ceramic surfaces, even complex, threedimen­sional contours can be produced.
Automated Series Production –
Advantage for OEM Customers
An industrial application often requires large
quantities of custom-engineered components. At PI Ceramic, the transition to large
production runs can be achieved in a reliable
and low-cost way while maintaining the high
quality of the products. PI Ceramic has the capacity to produce and process medium-sized
and large production runs in linked automated lines. Automatic screen printers and the
latest PVD units are used to metallize the
ceramic parts.

Automated processes optimize throughput

5

PIEZO TECHNOLOGY

Product Overview
IN-HOUSE DEVELOPMENT AND PRODUCTION

Piezoelectric Components
!

!

 arious different versions in many difV
ferent geometries such as disks, plates,
tubes, customized shapes
High resonant frequencies to 20 MHz

OEM Adaptations
!

!

!

 iezo transducers for ultrasonic
P
applications
 ssembly of complete transducer
A
components
2D or line arrays

DuraAct Piezo Patch Transducers
!

!

 ctuator or sensor, structural health
A
monitoring
 endable and robust, preloaded due to
B
lamination

Control Electronics

6

W W W. P I C E R A M I C . C O M

!

Different performance classes

!

OEM modules and benchtop devices

PICMA® Multilayer Piezo Actuators
!

Low piezo voltage to 120 V

!

High stiffness

!

Travel ranges to 100 µm

PICA High-Load Actuators
!

Travel ranges to 300 µm

!

Forces to 100 kN

PICMA® Multilayer Bending Actuators
!

Bidirectional displacement to 2 mm

!

Low operating voltage to 60 V

!

Contractors, variable contours

Piezo Actuators with
Customized Equipment
!

For use in a harsh environment

!

Position and temperature monitoring

!

For cryogenic temperatures
7

PIEZO TECHNOLOGY

∆L

Polarisation
axis
C1
(Z)
3
L1

6

P

Impendanz Z

+
o

L

C0
5

Piezoelectric Effect and Piezo Technology
2(Y)

R1

4

Piezoelectric Ceramics …

Piezoelectric materials convert electrical energy into mechanical energy and vice versa.
The piezoelectric effect is now used in many
everyday products such as lighters, loudspeakers and signal transducers. Piezo actuator technology has also gained acceptance
in automotive technology, because piezocontrolled injection valves in combustion
engines reduce the transition times and significantly improve the smoothness and exhaust
gas quality.

–

–

–

+

+

–

–

–

–

+

+

+

+

–

–

–

–

+

+

+

+

–

+

–

+

–

+
–

–

–

–

–

+
–

+ +
– –

+

+

–

+
–

–

+
–

+
–

+
–

+

+

–

+

The word “piezo“ is derived from the Greek
word for pressure. In 1880 Jacques and Pierre Curie discovered that pressure
generates
∆L
electrical charges in a number of crystals
fn
such as Quartz and Tourmaline; they called
O2
this phenomenon the “piezoelectric effect“.
Pb
Later they noticed that electrical fields can
Ti, Zr
deform piezoelectric materials. This effect is
Fig. 1.
called the “inverse piezoelectric effect“. The
(1) Unit cell with symmetrical,
0 with piezoindustrial breakthrough came
cubic Perovskite structure,
electric
ceramics,
when
scientists
discovered
1(r) T > T
Radialschwingung
Frequenz f
that Barium Titanate assumes piezoelectric-Ps
(2) Tetragonally distorted unit
characteristics on a useful scale when an
cell, T < T
electric field is applied.

+

+

+

+

Pr
… with Polycrystalline
Structure

Ps

At temperatures below the Curie temperature, the lattice structure of the PZT crystallites becomes deformed and asymmetric.
-Ec
This brings
about the formation of dipoles
and the rhombohedral andEctetragonal
cryE kV/cm
V
stallite
p
­ hases which are of interest for piezo t­echnology. The ceramic exhibits spontaneous polarization
-Pr (see Fig. 1). Above the
Curie temperature the piezoceramic material
loses its piezoelectric properties.
–

–

+

–

–

–

C

Dickenschwingung

+

–

–

++

C

–

+

–

+

+

3

–

+

–

+

From the Physical Effect to Industrial Use

fm

–

+

–

(2)

The piezoelectric effect of natural mono­
crystalline materials such as Quartz, Tourmaline and Seignette salt is relatively small.
Polycrystalline ferroelectric ceramics such as
Barium Titanate (BaTiO3) and Lead Zirconate
Titanate (PZT) exhibit larger displacements
or induce larger electric voltages. PZT piezo ceramic materials are available in many
­m(1)
odifications(2)and are most
widely used
(3)
for actuator or sensor applications. Special
­dopings of the PZT ceramics with e.g. Ni, Bi,
Sb, Nb ions make it possible to specifically
optimize piezoelectric
and dielectric parameP C/m2
ters.

+

(1)

+

(X)

1

+

OD
D
P

TH

OD

Direct Piezoelectric Effect
Mechanical stresses arising
as the result
3
of an external force that act on the piezoelectric body induce displacements
1 of the
electrical dipoles. This generates an elec2
tric field, which produces a corresponding
electric voltage. This ­direct piezoelectric
effect is also called the sensor or generator
effect.

3
+

3(r)

U

–

1

Inverse Piezoelectric Effect
3

TH
When an electric
voltage 6is applied to an TH
5
2
unrestrained piezoceramic component it

brings about a geometric deformation. The
ID
movement achieved is aP function of the
L
polarity, of the voltage
applied and the
Längsschwingung
­direction of the polarization in the device.
The application of an AC voltage produDickenschwingung
ces an oscillation,
i.e. a periodic change of
the geometry, for example the increase or
­reduction of the diameter of a disk. If the
body is clamped, i.e. free deformation is
constrained, a mechanical stress or force
is generated. This effect is frequently also
called Lthe actuator or motor effect.
P

W

Längsschwingung
L

8

W
Dickenschwingung

L

TH

P

P

Radialschwingung

W W W. P I C E R A M I C . C O M

TH
W

3
1(r)

axis
C1
(Z)
3
L1

+
o

L

C0
6

P

5

∆L

2(Y)
Polarisation
axis

(X)

R1

4

1

C1

fm

(Z)
3
L1

2(Y)

R1

which is d
­ egraded again when the mechanical, t­ hermal and electrical limit values of
the m
­ aterial are exceeded (see Fig. 3). The
ceramic now exhibits piezoelectric properties and will change dimensions when
an electric voltage is applied. Some PZT
ceramics must be poled at an elevated temperature.
–

–

–

–

Fre

–

+

+

+

–

–

–

–

+

+

+

+

–

–

–

–

+

+

+

+

–

+

–

–

+

–

+
–

–

+

+
–

+ +
– –

+

+

–

–

–

+
–

+
–

+
–

+
–

+
+

+

–

–

+

+

–

+

+

–

–

–

–

+

+

+

+

When the permissible operating temperature is exceeded, the polarized ceramic
­depolarizes. The degree of depolarization is
depending on the Curie temperature of the
material.
(1)
(2)
–

–

–

+

–

One effect of the spontaneous polarization
is that the discrete PZT crystallites become
­piezoelectric. Groups of unit cells with the
same(1)orientation are called ferroelectric
domains. Because of the random distribution of the domain (2)
orientations in the ceramic material no macroscopic piezoelectric
be­h avior is observable. Due to the ferroelectric nature of the material, it is possible to
force permanent reorientation and alignment
of the differ­ent ­domains using a strong electric field.
This process is called poling (see
(2)
Fig. 2).

–

1

(1)

(2)
–

–

–

+
–

+
–

–

+

+

+

+

(3)

–

+

–

+
–

+

–

+

+ +
– –

+

–

+

–

–

–

–

–

–

+

+

+

+

+
–

+
–

+
–

P C/m2

An electric field of sufficient strength can
­reverse the polarization direction (see Fig.
4). The link between mechanical and electriP C/m2
cal parameters is of crucial significance for
the widespread technical utilization of piezo
P
­ceramics.

Ps

Pr

Fig. 2. Electric dipoles in
domains:
(1) unpolarized,
ferroelectric ceramic,
– –
-Ec
(2) d
 uring
and

–

P

+

+
–

–

++

s
(3) a
 fter the poling
(piezoelectric ceramic).
+
+

Ec

E kV

–

–

r

–

3

+

–

Pb

The poling process results
in a remnant
Ti, Zr
­p olarization P r which coincides with a
remnant expansion of the material and

+

+

O2

Polarization of the Piezoceramics

+

+

(3)

–

+

–

+

+

+

Ferroelectric Domain Structure

(X)

Impendanz Z

5
4

+

+
o

P

(1)

+

O2

++

Ps
–

–

Radialschwingung

+

-Ps

+

–

-Ps

–

Pr

Dickenschwingung

–

+

–

+

+
–

S
3
1(r)

–

+

-Ec

P

–

Radialschwingung

Ti, Zr

-Pr

–

1(r)

Pb

+

L

C0
6

+

Ec

E kV/cm

-Pr

Dickenschwingung

-Ec

3

3

Ec
1

3(r)

E

Dickenschwingung

2

3

Längsschwingung

Längsschwingung

3

E

3(r)

1

-Ps

Fig. 3. The butterfly curve shows the typical
deformation of a ferroelectric “soft“ piezo ceramic
material when a bipolar voltage is applied.
The displacement of the ceramic here is based
exclusively on solid state effects, such as the alignment of the dipoles. The motion produced
is therefore frictionless and non-wearing.

3

-Pr

2

Dickenschwingung

1(r)

1

Fig. 4. An opposing electric field will only
3
depolarize the material if it exceeds
the
6
TH
coercivity strength Ec. A further increase in the
5
1
opposing
field leads to2repolarization, but in
the opposite direction.
6

TH
2

3

5

Längsschwingung

Längsschwingung

Dickenschwingung
Dickenschwingung

9

Radialschwingung
Radialschwingung

PIEZO TECHNOLOGY

Electromechanics
F U N D A M E N TA L E Q U AT I O N S A N D P I E Z O E L E C T R I C C O E F F I C I E N T S

T	mechanical stress
E

electric field

S	mechanical strain
d	piezoelectric charge
coefficient

εT	dielectric permittivity
(for T = constant)

sation
xis

sE	elastic coefficient
(for E = constant)

6

P

5
2(Y)

(X)

1

4

Fig. 5. Orthogonal
coordinate system to
describe the properties
of a poled piezoelectric
ceramic. The polarization
vector is parallel to the
3 (Z)-axis.

ε33T	
permittivity value in the polarization ­
direction when an electric field is
­applied parallel to the direction of the
polarity (direction 3), under conditions
of constant mechanical stress (T = 0:
“free“ permittivity).

D = d T + εT E
S = sE T + d E
These relationships apply only to small e
­ lec­trical and mechanical amplitudes, so-called
small signal values. Within this range the
­relationships between the elastic deformation (S) or stress (T) components and the components of the electric field E or the electric
flux density D are linear.

permittivity if the electric field and
ε11S	
dielectric displacement are in direc­
tion 1 at constant deformation (S = 0:
“clamped“ permittivity).
Piezoelectric Charge or Strain Coefficient,
Piezo Modulus dij

C1

Assignment of Axis

(Z)
3

Examples

Polarized piezoelectric materials are characterized by several coefficients and relationships. In simplified form, the basic relationships between the electrical and elastic
­
properties can be represented as follows :

The piezo modulus isfmthe ratio fnof induced
electric charge to mechanical stress or of
achievable mechanical strain to electric field
applied (T = constant).

The directions are designated by 1, 2, and
L
C0
3, corresponding
to axes X, Y and1 Z of the
­classical right-hand orthogonal axis set. The
rotational axes are designated with 4, 5 and 6
R1
(see Fig. 5). The direction of polarization
(axis
3) is established during the poling process
by a strong electrical field applied between
the two electrodes. Since the piezoelectric
material is anisotropic, the corresponding
­
physical quantities are described by tensors.
The piezoelectric coefficients are therefore
­indexed accordingly.

Impendanz Z

D 	electric flux density,
or dielectric
displacement

Example
d33	
mechanical strain induced per unit of
Frequenz
electric field applied in
V/m for charge
density in C/m2 per unit pressure in N/
m2, both in polarization direction.
Piezoelectric Voltage Coefficient gij
The piezoelectric voltage coefficient g is
the ratio of electric field E to the effective
mechanical stress T. Dividing the respective piezoelectric charge coefficient dij by
the ­
corresponding permittivity gives the
corresponding gij coefficient.

Permittivity ε
–

–

–

–

The relative permittivity, or relative dielectric coefficient, ε is the ratio of the absolute
­permittivity of the ceramic material and the
permittivity in vacuum (ε0 = 8.85 x 10-12 F/m),
where the absolute permittivity is a measure of the polarizability. The dependency of­
(1)
(2)
(3)
the permittivity from the orientation of the
electric field and the flux density is described
by indexes.
–

+

+

+

+

–

–

–

–

+

+

+

+

–

–

–

–

+

+

+

+

–

–

–

–

+

–

–

+

–

+

–

–

+
–

+ +
– –

+

+

–

+
–

+
–

+
–

+
–

+
–

+

Example

+

–

+

+

+

+

+

+
–

–

–

+
–

+
–
++

+

–

+

+

+

–

Ec

+

–

–

10

hwingung

hwingung

-Ps

–

Ps

Pr

–

U

g31	
describes the electric field induced in
­direction 3 per unit of mechanical stress
acting in direction 1. Stress = force per
unit area, not necessarily orthogonal.

P C/m2

-Ec

+

-Pr

W W W. P I C E R A M I C . C O M

E kV/cm

W

L

T

Elastic Compliance sij
The elastic compliance coefficient s is the
ratio of the relative deformation S to the
­mechanical stress T. Mechanical and electrical energy are mutually dependent, the
electrical boundary conditions such as
­
the electric flux density D and field E must
­therefore be taken into consideration.
Examples
s33E	
the ratio of the mechanical strain in
direction 3 to the mechanical stress
­
in the direction 3, at constant electric
field (for E = 0: short circuit).
s55D	
the ratio of a shear strain to the
effective shear stress at constant
­
­dielectric displacement (for D = 0: open
electrodes).
The often used elasticity or Young’s mo­
dulus Yij corresponds in a first approximation to the reciprocal value of the corresponding elasticity coefficient.
Frequency Coefficient Ni
The frequency coefficient N describes
the ­relationship between the geometrical
­di­mension A of a body and the corresponding
(series) resonance frequency. The ­indices
designate the corresponding ­
direction of
oscillation N = fs A.
Examples

is the frequency coefficient of the
NP	
­planar oscillation of a round disk.
is the frequency coefficient of the
Nt	
thickness oscillation of a thin disk
­
­polarized in the thickness direction.
Mechanical Quality Factor Qm
The mechanical quality factor Qm characterizes the “sharpness of the resonance“ of
a piezoelectric body or resonator and is
primarily ­
determined from the 3 dB bandwidth of the series resonance of the system
which is able to oscillate (see Fig. 7 typical
impedance curve). The reciprocal value
of the mechanical q
­uality factor is the
mechanical loss factor, the ratio of effective resistance to reactance in the equivalent
circuit diagram of a piezoelectric resonator at
resonancem (Fig. 6).
Coupling Factors k
The coupling factor k is a measure of how­
the magnitude of the piezoelectric effect is
(n o t an efficiency factor!). It describes the
ability of a piezoelectric material to convert
electrical energy into mechanical energy and
vice versa. The coupling factor is determined by the square root of the ratio of stored
mechanical energy to the total energy ab­
sorbed. At resonance, k is a function of the
corresponding form of oscillation of the
­
­piezoelectric body.
Examples

k33	the coupling factor for the longitudinal
oscillation.
N3	
describes the frequency coefficient­
for the longitudinal oscillation of a k31	the coupling factor for the transverse
slim rod polarized in the longitudinal
oscillation.
direction.
kP 	the coupling factor for the planar radial
oscillation of a round disk.
N1	
is the frequency coefficient for ­
the
transverse oscillation of a slim rod
the coupling factor for the thickness
kt 	
­polarized in the 3-direction.
oscillation of a plate.
N5

is the frequency coefficient of the
­
­thick­ness shear oscillation of a thin
disk.

the coupling factor for the thickness
k15	
shear oscillation of a plate.

11

PIEZO TECHNOLOGY

Dynamic Behavior
O S C I L L AT I O N M O D E S O F P I E Z O C E R A M I C E L E M E N T S

3

5

2

1
3

2

OD

TH
R1

1

0

Most piezoelectric material parameters are
OD
3
determined
by means of
mea2 impedance
TH
U P OD >> TH
U P OD >> TH
L according
surements on special1 test bodies
U
3
2 EN L50324-2 atP L >> W >> TH
to the European Standard
TH
U
1 3
resonance.
U
P L >> W >> TH
2

Fig. 6. Equivalent circuit diagram
OD
3
of a piezoelectric resonator
2
TH
1
L

3

∆L

–

–

–

OD
D
P

TH

–

– –
– –
TH W
OD
+
+
+ +
P OD >> TH
U
W
– –
–
–
+
+
2
TH
U P OD >> TH
L
1
+
+
+
+
– –
+
+
+
+
–
Shape		
Oscillations		 +
U
3
U
3
–
+ +
+ +
1
–
P L >> W >> TH
2
P L >> W >> TH
– –
– 2–
–
–
– –
–
–
–
–
		 
		
–
+
TH –+ –+ +– +–
TH
1
1
+
Type
Mechanical
Series resonance
+
+ +
+
+
+
+
+
+
+
+
+
+
+
U
–
W
W

W >> TH
P L >>
–

TH

–

OD
W
L– –

3

2

+

+

+

–

–

+

+

1
–
–
TH

+

–

–

+

+

–

–

+

–

–

2

–

–

–
31

–

+

(X)

2(Y)

4

1

OD

TH L1

Impendanz Z

6

P

C0

+ +
– –

+

–

–

+

		

–

–

–

–

+
–

+
–

(1)

(2)

3

1

TH
TH

2
3

TH
2 L

Plate

3 1
2

Pr

1

2

U UP
U

W

TH
3

LOD

W

LL

TH
W

P

OD >> TH
P L >> W >> TH
L >> W >> TH

U P L >> W >> TH
P
U s
P L >> W >> TH

W

1

-Ec

–

–

+

+

–

++

+

–

–

+

+

++
–

–

Shear plate

+

–

3

+

P

TH ELc

OD
ID

TH

1

L

L
1
1 33
THP
2TH L
2
Längsschwingung
3
OD
1
L
2
2
L
ID

1
Dickenschwingung
3
L
1 2
3

WP
L

L
6

P

L

TH

1
3

P

TH
OD
TH
3
ID
2 L OD
U P L >> W >> TH
1
transversal
P
1
TH
ID
Längsschwingung
1
L >> OD >> TH
3
L
L
L P
U U L ≈ W >> TH
231 3
3 TH
U L ≈ W >> TH
2 LTHW
U
L >>
TH
U WP L >> W >> TH
2
ODW
>>>>
TH
W PL >>
3
L >> OD >> TH
U
ODL
21
Dickenschwingung
thickness
U
L
ID
3
PW
1
P
1
L >> OD >> TH
L >> OD >> TH
L
1(r) 3 L
U
U Radialschwingung
23
L
U L ≈ W >> TH
TH
U L ≈ W >> TH 2
W
W
L
THDickenschwingung
P
OD
W W W. P I C E R A M I C . C O M
ID
P

TH

3

2

ƒs =

NP –
OD

ƒs =

Nt
TH

ƒs =

N1
L

L

W

TH
OD
ID

TH

P

32

WL

L

W

12

U

WW

+

+

-Ps

Tube

TH
radial

frequency

TH

P

ƒs =

N3
L

ƒs =

N5
TH

ƒs ≈

N1
L

ƒs ≈

Nt

–

+
–

Rod

OD >> TH

E kV/cm
U
P L >> W >> TH
3
–
–
TH
2
U
L
P L >> W >> TH
1
1
2 L Ec
U P L >> W >> TH
L
L
E kV/cm
W
L
L
1 3longitudinal
W
L
U L ≈ W >> TH
+ 1
U
13
TH
-PsU
2
3
-P
W P L >> W >> TH
r
L
1 2
2
P L >> W >> TH
L
L
3 TH W
U L ≈ W >> TH
W L
TH
L
U L ≈ W >> TH
21 TH TH
1 3
W
TH
2
W
W
P
TH W
-Pr
L
3
L
1 3
1
2 L
U
L
P P L >> W >> TH
L
LU
P LU>>LW
>>>>
THTH
L
P
32 L
≈W
U L ≈ W >> TH
1 3
thickness
shear
TH
TH
2 1
2
W
W
+

TH

–

-Ec

–

–

–

deformation

U P

OD
3
3
THL
TH
>>WTH
2 L
UU P OD
L >>
>> TH
3 2
P L >> W >> TH –
P C/m2 2 3
1
1 TH
2
U
thickness
L
P
L
>>
W
>> TH
1
W W
1
Ps
TH
Pr
W
3
L
2 L
UU P L >> W >> TH
3
12
transverse P L >> W >> TH
TH

–

–

P C/m2 1

1

+

32

+

+

3
1

+

–

(3)

Thin disk

+

+

+

+

+

–

+

OD

–

+

(2)

+

+

(3)
TH

2

+

+

(1)

g

ng

C1

Impedance Z

(Z)
3

The electromechanical behavior of a piezo­
electric element excited to oscillations
can
C1
be represented by an electrical equivalent
fm
fn
circuit diagram (s. Fig. 6). C0 is the capaciOD
3
L
C0 of the dielectric. The2 fseries
tance
TH1 circuit,
U P OD >> TH
fn conm
OD change
3
sisting of C1, L1, and R1,1 describes
the
2
TH
U P OD >> TH
>> TH
P OD
U the
in
mechanical
properties,
such as elastic
1
deformation, effective massR1 (inertia) and
mechanical losses3 resultingODfrom internal
2
U P OD >> TH
TH
U P OD >> TH
friction. This description
of the oscillatory
1
Frequency f
circuit can only be used for frequencies
in the vicinity of the mechanical intrinsic
Fig. 7. Typical impedance curve
Frequenz f
resonance.

TH

TH
Radialschwingung

1(r)

TH

OD
OD

TH

Dickenschwingung

T

Figure 7 i­llustrates a typical impedance curve. The s­ eries and parallel resonances, fs and
fp, are used to determine the piezoelectric
parameters. These correspond to a good approximation to the impedance minimum fm
and maximum fn.
Oscillation States of Piezoelectric
Components
Oscillation states or modes and the de­
formation are decided by the geometry of the
element, mechano-elastic properties and
the orientations of the electric field and the
­polarization. Coefficients see p. 10, specific values see p. 18. dimensions see p. 27.
The equations are used to calculate approx­
imation values.

Electrically
induced
displacement
(small signal)

Mechanically
induced
voltage
(small signal)

∆OD = d31OD U
TH
∆TH = d33U

U = – 4 g 33TH
F
π OD 2 3

∆L = d31L U
TH

U = – g 31 F1
W

∆L = d33U

U = – g 33 L F3
W TH

∆L = d15U

U = – g15 TH F3
LW

∆L = d31L U
TH

∆TH = d33U

13

PIEZO TECHNOLOGY

Material Properties and Classification
PI Ceramic provides a wide selection of
piezoelectric ceramic materials based on
­
modified Lead Zirconate Titanate (PZT) and
Barium Titanate. The material properties
are classified according to the EN 50324
­European Standard.
In addition to the standard types described
here in detail, a large number of modifications are available which have been adapted
to a variety of applications.
Internationally, the convention is to divide
piezo ceramics into two groups. The terms
“soft“ and “hard“ PZT ceramics refer to
the mobility of the dipoles or domains and
hence also to the polarization and depolarization behavior.
“Soft“ Piezo Ceramics
Characteristic features are a comparably
high domain mobility and resulting “soft
­ferroelectric“ behavior, i.e. it is relatively
easy to polarize. The advantages of the
“soft“ PZT materials are their large piezo­
electric charge coefficient, moderate per­
mittivities and high coupling factors.

14

W W W. P I C E R A M I C . C O M

Important fields of application for “soft“
piezo ceramics are actuators for micro­
positioning and nanopositioning, sensors
such as conventional vibration pickups,
ultrasonic transmitters and receivers for
­
flow or level measurement, for example,
object identification or monitoring as well
as electro-acoustic applications as sound
t ransducers and microphones, through
­
to their use as sound pickups on musical
­instruments.
“Hard“ Piezo Ceramics
“Hard“ PZT materials can be subjected to
high electrical and mechanical stresses.
Their properties change only little under these conditions and this makes them particularly ideal for high-power applications. The
advantages of these PZT materials are the
moderate permittivity, large piezo­
electric
coupling factors, high qualities and very
good stability under high mechanical loads
and operating fields. Low dielectric losses
facilitate their continuous use in ­resonance
mode with only low intrinsic w
­ arming of
the component. These piezo e
­lements
are used in ultrasonic cleaning ­
(typically
kHz frequency range), for example, the
machining of materials (ultrasonic w
­ elding,
bonding, drilling, etc.), for ultra­
sonic processors (e.g. to disperse liquid media), in
the medical field (ultrasonic tartar removal,
surgical instruments etc.) and also in sonar
technology.

Lead-Free Materials
Piezoelectric ceramics, which nowadays
are based mainly on Lead Zirconate-Lead
Titanate compounds, are subject to an exemption from the EU directive to reduce
hazardous substances (RoHS) and can there­
fore be used without hesitation. PI Ceramic is
­nevertheless aiming to provide high-per­for­
mance lead-free piezoceramic materials and
thus provide materials with a guaranteed
future. PI Ceramic is currently inves­tigating
technologies to reliably manufacture
lead-free ceramic components in series­
pro­duc­tion.
First Steps Towards Industrial Use
with PIC700
The PIC700 material, which is currently in
­laboratory production, is the first lead-free
piezo ceramic material being offered on

the market by PI Ceramic. PIC700 is based
on Bismuth Sodium Titanate (BNT) and
has very similar characteristics to Barium
­Titanate materials. PIC700 is suitable for
­ultrasonic transducers in the MHz range as
well as sonar and hydrophone applications.
Characteristics of the Lead-Free
Piezo ­Ceramic Material
The maximum operating temperature of
the BNT-based ceramic is around 200 °C.
The permittivity and piezoelectric coupling
factors of BNT components are lower than
those of conventional, PZT materials. Even
though PIC700 is suitable for a number of
applications, an across-the-board replacement for PZT piezoelectric elements in
­technical applications is not in sight at the
moment.

Typical dimensions of current PIC 700 components
are d
­ iameters of 10 mm and
­thicknesses of 0.5 mm.

Crystalline Piezo Material for Actuators
Lead-Free and with High Linearity
Piezoceramic actuators exhibit nonlinear
­displacement behavior: The voltage applied
is thus not a repeatable measure for the
position reached. Sensors must therefore
­
be used in applications where the position
is ­relevant. The crystalline PIC050 material,
in contrast, has a linearity which is significantly improved by a factor of 10 so that a
position sensor is not necessary.

Since it is used in positioning systems
the PIC050 material is only supplied as a
translational or shear actuator in predefined ­shapes. The standard dimensions are
­similar to those of the PICA shear actuators
(see www.piceramic.com).

High-dynamics nanopositioning
system with Picoactuator®
technology.

PIC050 is used for actuators and nanopositioning systems with the tradename Picoactuator®. They have the high stiffness and
dynamics of actuators made of PZT material
but their displacement is limited: Travel of
up to +/-3 µm results with a maximum profile of 20 mm.

Picoactuator® in Nanopositioning
In precision positioning technology, Physik
Instrumente (PI) uses these actuators precis­
e­­ly where this small displacement with high
dynamics and accuracy is required. The
high linearity means that they can operate
without position control which otherwise sets an upper limit for the dynamics of
the system as a result
­­
of the limited control
bandwidth.

The PIC050 crystal forms translucent layers in the Picoactuator®.

PIEZO TECHNOLOGY

15

Material Properties and Classification
Material
designation

General description of the material properties
“Soft“-PZT

Classification in accordance with EN 50324-1

ML-Standard
DOD-STD-1376A

PIC151

Material: Modified Lead Zirconate-Lead Titanate
Characteristics: High permittivity, large coupling factor,
high piezoelectric charge coefficient
Suitable for: Actuators, low-power ultrasonic transducers,
low-frequency sound transducers. Standard material for
actuators of the PICA series: PICA Stack, PICA Thru

600

II

PIC255

Material: Modified Lead Zirconate-Lead Titanate
Characteristics: Very high Curie temperature, high permittivity,
high coupling factor, high charge coefficient, low mechanical
quality factor, low temperature coefficient
Suitable for: Actuator applications for dynamic operating
conditions and high ambient temperatures (PICA Power series),
low-power ultrasonic transducers, non-resonant broadband
systems, force and acoustic pickups, DuraAct patch transducers,
PICA Shear shear actuators

200

II

PIC155

Material: Modified Lead Zirconate-Lead Titanate
Characteristics: Very high Curie temperature, low mechanical
quality factor, low permittivity, high sensitivity (g coefficients)
Suitable for: Applications which require a high g coefficient
(piezoelectric voltage coefficient), e.g. for microphones and
vibration pickups with preamplifier, vibration measurements
at low frequencies

200

II

PIC153

Material: Modified Lead Zirconate-Lead Titanate
Characteristics: extremely high values for permittivity, coupling
factor, high charge coefficient, Curie temperature around 185 °C
Suitable for: Hydrophones, transducers in medical diagnostics,
actuators

600

VI

PIC152

Material: Modified Lead Zirconate-Lead Titanate
Characteristics: Very high Curie temperature
Suitable for: Use at temperatures up to 250 °C
(briefly up to 300 °C).

200

II

16

W W W. P I C E R A M I C . C O M

Material
designation

General description of the material properties
“Hard“-PZT

Classification in accordance with EN 50324-1

ML-Standard
DOD-STD-1376A

PIC181

Material: Modified Lead Zirconate-Lead Titanate
Characteristics: Extremely high mechanical quality factor,
good temperature and time constancy of the dielectric and
elastic values
Suitable for: High-power acoustic applications, applications in
resonance mode

100

I

PIC184

Material: Modified Lead Zirconate-Lead Titanate
Characteristics: Large electromechanical coupling factor, moderately high quality factor, excellent mechanical and electrical stability
Suitable for: High-power ultrasound applications, hydroacoustics,
sonar technology

100

I

PIC144

Material: Modified lead zirconate titanate
Characteristics: Large electromechanical coupling factor, high
quality factor, excellent mechanical and electrical stability, high
compressive resistance
Suitable for: High-power ultrasound applications, hydroacoustics,
sonar technology

100

I

PIC241

Material: Modified Lead Zirconate-Lead Titanate
Characteristics: High mechanical quality factor, higher permittivity
than PIC181
Suitable for: High-power acoustic applications, piezomotor drives

100

I

PIC300

Material: Modified Lead Zirconate-Lead Titanate
Characteristics: Very high Curie temperature
Suitable for: Use at temperatures up to 250 °C
(briefly up to 300 °C).

100

I

Lead-Free Materials

PIC050

Material: Spezial crystalline material
Characteristics: Excellent stability, Curie temperature >500 °C
Suitable for: High-precision, hysteresis-free positioning in
open-loop operation, Picoactuator®

PIC700

Material: Modified Bismuth Sodium Titanate
Characteristics: Maximum operation temperature 200 °C,
low density, high coupling factor of the thickness mode
of vibration, low planar coupling factor
Suitable for: Ultrasonic transducers > 1MHz

17

PIEZO TECHNOLOGY

Material Data
S P E C I F I C PA R A M E T E R S O F T H E S TA N D A R D M AT E R I A L S

Soft PZT materials

Unit

PIC151

PIC255/

PIC155

PIC153

PIC2521)
Physical and dielectric properties
Density

ρ

g / cm3

7.80

7.80

7.80

7.60

Curie temperature

T

°C

250

350

345

185

ε /ε

0

2400

1750

1450

4200

ε Τ/ ε

0

1980

1650

1400

20

20

20

30

k

0.62

0.62

0.62

0.62

k

0.53

0.47

0.48

k

0.38

0.35

0.35

k

0.69

0.69

0.69

c

Relative permittivity        in the polarization direction
to polarity
Dielectric loss factor

33

Τ

11

tan δ

10-3

Electromechanical properties
Coupling factor

p

t

31

33

k

0.66

15

Piezoelectric charge coefficient

-210

-180

-165

500

400

360

-11.5

-11.3

-12.9

22

25

27

16

N

1950

2000

1960

1960

N

1500

1420

1500

d

31

d

10

33

-12

C/N

d

550

15

Piezoelectric voltage coefficient

600

g

31

10-3 Vm / N

g

33

Acousto-mechanical properties
Frequency coefficients

p

1

Hz · m

N

3

N

t

Elastic compliance coefficient

S

E

11

S

E

Elastic stiffness coefficient

C

D

Mechanical quality factor

Q

33

33

10-12 m2 / N
1010 N / m2

m

1750

1780

1950

2000

1990

15.0

16.1

15.6

19.0

20.7

19.7

10.0

1960

11.1

100

80

80

50

6

4

6

5

Temperature stability
Temperature coefficient of εΤ

33

(in the range -20 °C to +125 °C)

TK ε

33

10-3 / K

Time stability (relative change of the parameter per decade of time in %)
Relative permittivity

Cε

-1.0

-2.0

Coupling factor

C

-1.0

-2.0

K

18

W W W. P I C E R A M I C . C O M

Lead-free
materials

Hard PZT materials

PIC152

PIC181

PIC184 2)

PIC144 2)

PIC241

PIC300

PIC110

PIC7002)

7.70

7.80

7.75

7.95

7.80

7.80

5.50

5.6

340

330

295

320

270

370

150

2003)

950

700

15

30

Recommended operating temperature:
50 % of Curie temperature.
1) Material for the Multilayer tape
technology .
2) Preliminary data, subject to change

1350
15
0.48

1200

1015

1250

1650

1050

1500

1250

1500

1550

950

3

5

4

5

3

3) Maximum operating temperature
The following values are valid approximations for all PZT materials from
PI Ceramic:
Specific heat capacity:
WK = approx. 350 J kg-1 K-1

0.56

0.55

0.60

0.50

0.48

0.30

0.15

0.46

0.44

0.48

0.46

0.43

0.42

0.40

0.32

0.30

0.30

0.32

0.25

0.18

0.66

0.62

0.66

0.64

0.46

0.63

0.65

0.63

0.32

-120

-100

-110

-130

-80

-50

265

219

265

290

155

120

475

418

265

155

-11.2

-11.1

-10.1

-9.8

-9.5

25

25

24.4

25

21

16

-11.9

Static compressive strength:
> 600 MPa

2250

2270

2195

2180

2190

2350

3150

1640

1590

1590

1590

1700

2300

2010

1930

1550

1700

2500

2110

2035

2020

2140

2100

The data was determined using test
pieces with the geometric dimensions laid
down in EN 50324-2 standard and are typical
values.

11.8

12.7

12.4

12.6

11.1

14.2

14.0

15.5

14.3

11.8

16.6

14.8

15.2

13.8

16.4

100

2000

400

1000

400

1400

2

3

5

0.58

300

1920

Specific thermal conductivity :
WL = approx. 1.1 W m-1 K-1
Poisson‘s ratio (lateral contraction):
σ = approx. 0.34

120

Coefficient of thermal expansion:
α3 = approx. -4 to -6 × 10-6 K-1
(in the polarization direction, shorted)
α1 = approx. 4 to 8 × 10-6 K-1
(perpendicular to the polarization ­direction,
shorted)

All data provided was determined 24 h to
48 h after the time of polarization at an ambient temperature of 23 ±2 °C.
250

A complete coefficient matrix of the individual materials is available on request. If you
have any questions about the interpretation
of the material characteristics please contact
PI Ceramic (info@piceramic.com).

2

-4.0

-5.0

-2.0

-8.0

19

PIEZO TECHNOLOGY

Temperature Dependence of the Coefficients

Temperature curve of the
capacitance C





∆ C/C (%)

∆ C/C (%)





 Materials: PIC151,

PIC255 and PIC155

 Materials: PIC181,

PIC241 and PIC300

Temperature curve of the
resonant frequency of the
transverse oscillation f

∆ f / f (%)

∆ f / f (%)





s

s

s

s

s

 Materials: PIC151,

PIC255 and PIC155

 Materials: PIC181,

PIC241 and PIC300

Temperature curve of the
coupling factor of the
transverse oscillation k

∆ k / k (%)
31

∆ k / k (%)

31

31

31

 Materials: PIC151,

PIC255 and PIC155

 Materials: PIC181,

PIC241 and PIC300

20

W W W. P I C E R A M I C . C O M

31



Temperature curve of
the piezoelectric charge
coefficient d


∆ d / d (%)

∆ d / d (%)
31

31

31

31

31

 Materials: PIC151,

PIC255 and PIC155

 Materials: PIC181,

PIC241 and PIC300

Specific Characteristics

isotropic. The coefficient of expansion is
approximately linear with a TK of approx
2 · 10-6 / K.

Thermal properties using the example of
the PZT ceramic PIC255
 
The thermal strain exhibits different
­behavior in the polarization direction and
perpendicular to it.

!

 The preferred orientation of the domains­
in a polarized PZT body leads to an
­anisotropy. This is the cause of the varying
thermal expansion behavior.

!

!

 Non-polarized piezoceramic elements are

!


The
effect of successive temperature
changes must be heeded particularly in
the application. Large changes in the curve can occur particularly in the first temperature cycle.

Depending
on the material, it is possible that the curves deviate strongly from
those illustrated.

!

Thermal strain in the polarization direction

∆ L / L (%)

1. Heating
1. Heating
Cooling
Cooling
2. Heating
2. Heating

Thermal strain perpendicular to the polarization
direction ∆ L / L (%)

1. Heating
1. Heating
Cooling
Cooling
2. Heating
2. Heating

21

PIEZO TECHNOLOGY

Manufacturing Technology
EFFICIENT PROCESSES FOR SMALL, MEDIUM-SIZED AND LARGE PRODUCTION RUNS

Manufacture of Piezo Components
Using Pressing Technology
Mixing and grinding
of the raw materials
Pre-sintering (calcination)

Milling

Granulation, spray drying

Pressing and shaping
Thermal processing
Sintering at up to 1300 °C
Lapping, grinding, surface grinding,
diamond cutting
Application of electrodes: Screen
printing, PVD processes, e.g. sputtering
Polarization
Assembling and joining technology for
actuators, sound transducers, transducers
Final inspection

22

Piezoceramic disks
with center hole

W W W. P I C E R A M I C . C O M

Piezo Components Made by Pressing
Technology
Piezoceramic bulk elements are manufactured from spray-dried granular material
by mechanical hydraulic presses. The compacts are either manufactured true to size,
taking into account the sintering contraction,
or with machining excesses which are then
­reworked to achieve the required precision.
The sintered ceramic material is hard and
can be sawn and machined, if required.
Screen printing is used to metallize the piezo elements and sputtering processes (PVD)
are employed for thin metallizing layers. The
­sintered elements are then polarized.
Stack Design for Actuators
Piezo actuators are constructed by stacking
several piezoceramic bulk elements and
­intermediate metal foils. Afterwards an outer insulation layer made of polymer material is applied.

Co-firing Process / Multilayer Technology / Piezo
Components inCeramics Tape Technology

Film Technology for Thin Ceramics
Components

Fine grinding of the raw materials

Thin ceramic layers are produced by tape
casting. This process can achieve minimal
individual component thicknesses of only
50 µm.

Slurry preparation

The electrodes are then applied with special
screen printing or PVD processes.

Tape casting
Application of electrodes
by screen printing
Laminating

Isostatic pressing
Thermal processing
Binder burn out and sintering
at up to 1100 °C
Grinding
Application of contact electrodes,
termination
Polarization

Multilayer Piezo Actuators: PICMA®
Multilayer co-firing technology is an espe­cially innovative manufacturing process.
The first step is to cast tapes of piezoceramic ­materials which are then provided with
­electrodes while still in the green state. The
component is then laminated from individ­
ual layers. In the following electrodes and
ceramic are sintered together in a single
processing step.
The patented PICMA® design comprises an
additional ceramic insulation layer which
protects the inner electrodes from environmental effects. Any further coatings made of
polymer material, for example, are therefore
not required. This means that PICMA® piezo
actuators remain stable even when subject
to high dynamic load. They achieve a higher
reliability and a lifetime which is ten times
longer than conventional multilayer piezo
actuators with a polymer insulation.
After the mechanical post-processing is complete, the multilayer actuators are p
­ rovided
with contact electrodes and are ­polarized.

Final inspection

PICMA® actuators with patented,
meander-shaped external electrodes
for up to 20 A charging current

PIEZO TECHNOLOGY

23

Flexibility in Shape and Design
Shaping of Compacts
Components such as disks or plates can be
manufactured at low cost with a minimum
thickness from as low as 0.2 mm. Inboard
­automatic cutoff saws produce such pieces in
large numbers.
Modern CNC technology means the sintered
ceramic elements can be machined with the
highest precision. Holes with diameters of
down to 0.3 mm can be produced. Almost
any contours can be shaped with accuracies
to one tenth of a millimeter. Surfaces can be
structured and the components can be milled
to give a three-dimensional fit.
Ultrasonic machining processes are used
to manufacture thin-walled tubes with wall
thicknesses of 0.5 mm.
Robot-Assisted Series Production
Automated assembly and production lines
use fast pick-and-place devices and comput­
er-controlled soldering processes, for example. An annual production run of several
million piezoelectric components and more
is thus no problem.
All Possible Shapes Even with
Full-Ceramic Encapsulation
PI Ceramic can manufacture almost any
shape of PICMA® multilayer piezo actuator using the latest production technology.
­Hereby, all surfaces are encapsulated with
ceramic insulation.
We can manufacture not only various basic shapes, e.g. round or triangular crosssections, but also insulated center holes on
benders, chips or stack actuators, making it
easier to integrate them.
Special milling machines work the sensitive
ceramic films in the green state, i.e. before sintering. The individual layers are then
equipped with electrodes and laminated.
The co-firing process is used to sinter the
­ceramic and the internal electrodes together,
the same process as with PICMA® standard
actuators.

Centerless, cylindrical grinding of piezoceramic rods

24

W W W. P I C E R A M I C . C O M

PICMA® Multilayer Actuators with Long Lifetime

Automatic soldering machine with PICMA® actuators

The internal electrodes and the ceramic of
PICMA® multilayer actuators are sintered
together (co-firing technology) to create a
­
monolithic piezoceramic block. This process creates an encapsulating ceramic layer which provides protection from humidity and from failure caused by increased
­leakage current. PICMA® actuators are there­
fore far superior to conventional, polymerinsulated multilayer piezo actuators in terms
of reliability and lifetime. The monolithic
ceramic design also gives rise to a high
resonance frequency, making the actuators
ideal for high-dynamic operation.

Large Temperature Range – Optimum
UHV Compatibility – Minimal Outgassing
– Neutral in Magnetic Fields
The particularly high Curie temperature
of 320 °C gives PICMA® actuators a usable ­temperature range of up to 150 °C, far
­beyond the 80 °C limit of conventional multilayer actuators. This and the exclusive use
of inorganic materials provide the optimum
conditions for use in ultra-high vacuums: No

outgassing and high bake-out temperatures.
PICMA® piezo actuators even operate in the
cryogenic temperature range, albeit at re­­
duced travel. Every actuator is constructed
­exclusively of non-ferromagnetic materials,
giving them extremely low residual magnetism of the order of a few nanotesla.

Low Operating Voltage
In contrast to most commercially available
multilayer piezo actuators, PICMA® actuators achieve their nominal displacement
at ­operating voltages far below 150 V. This
­characteristic is achieved by using a parti­c­
ularly fine-grained ceramic material which
means the internal layers can be thin.
The PICMA® actuators are at least partially
protected by the following patents:
German Patent No. 10021919
German Patent No. 10234787
German Patent No. 10348836
German Patent No. 102005015405
German Patent No. 102007011652
US Patent No. 7,449,077

25

PIEZO TECHNOLOGY

Metallization and Assembling Technology
THE COMPLETE PROCESS IS IN-HOUSE

Thick-Film Electrodes
Screen printing is a standard procedure to apply the metal electrodes to the piezoce-ram­ic
elements. Typical film thicknesses here are
around 10 µm. Various silver pastes are used
in this process. After screen print­
ing these
pastes are baked on at tempera-tures above
800 °C.

soldering ­machines at our disposal to solder
on ­miniaturized components and for larger
­production runs. Soldered joints which must
be extremely reliable undergo special visual inspections. The optical techniques used
for this purpose range from the stereomicro-scope through to camera inspection systems.

Thin-Film Electrodes

Mounting and Assembling Technology

Thin-film electrodes are applied to the
ceramic using modern PVD processes
­
(sputtering). The typical thickness of the
­
­metallization is in the range of 1 µm. Shear
elements must be metallized in the polarized state and are generally equipped with­
thin-film electrodes.

The joining of products, e. g. with adhesives,
is carried out in the batch production using automated equipment which executes the necessary temperature-time-regime (e.g. ­curing
of epoxy adhesives) and hence g
­ uarantees
uniform quality. The choice of adhesive and
the curing regime are optimized for every
product, taking into consideration the material properties and the intended ­operational
conditions. Specifically devel-oped dosing
and positioning systems are used for complex special designs. The piezoceramic stack
actuators of the PICA series, high-voltage
bender-type actuators and ultrasonic transducers are constructed in jointing processes
and have proved successful many times over
in the semi-conductor industry and in medical
engineering thanks to their high reliability.

PI Ceramic has high-throughput sputtering
facilities which can apply electrodes made of
metal alloys, preferably CuNi alloys and noble metals such as gold and silver.
Soldering Methods
Ready-made
piezo
components
with
connecting wires are manufactured by
specially trained staff using hand soldering processes. We have the latest automatic

26

Fully loaded sputtering equipment

W W W. P I C E R A M I C . C O M

0

V

∆L
P
W

∆L

L
P

TH

OD
D

W

P
fm

∆L

fn

OD

W

0

ID

0

TH

Piezoceramic Components
PV

DIMENSIONS

L

V

L

TH

P

W

OD
D

Frequenz f

P

TH

0

Disk /
rod / cylinder

V

Outer diameter OD: 2 to 80 mm
Thickness TH: 0.15 to 30 mm

OD
D

!

OD

P

!

ID

V

P

Plate / block	LengthOD
L: 1 to 80 mm,

OD

L
TH

D

ID

P
W

Width LW: 1 to 60
mm,
P
Thickness TH: 0.1 to 30 mm

P

TH

L

OD
ID

Shear plate

L

Length L: max. 75 mm,
Width W: max. 25 mm,
Thickness TH: 0.2 to 10 mm

P

L +
TH

ID

P

L

L

TH

L –
TH
OD

W

Ring	Outer diameter OD: 2 to 80 mm,
L

P

L

P

W

W
L

W

L

TH

P

OD

TH
OD
OD

TH

W

L

L: 3 to 50 mm,
Width W: 1 to 25 mm,
Thickness TH: 0.4 to 1.5 mm
L
Round bender elements on request.
Preferred dimensions: P
Diameter:
5 to 50 mm,
P
Thickness: 0.3 to 2 mm

P fired
Dimensions, as
± 0.3IDmm resp. ± 3 %

Length
L, width W (dimensions; tolerance)
TH
< 15 mm; ± 0.15 mm < 40 mm; ± 0.25 mm
< 20 mm; ± 0.20 mm < 80 mm; ± 0.30 mm

Outer diameter OD,
OD
OD
inner diameter ID
TH
(dimensions;
tolerance)
Radialschwingung
OD
< 15 mm; ± 0.15 mm < 40 mm; ± 0.25 mm
P
TH
< 20ODmm; ± 0.20 mm < 80 mm;ID
± 0.30 mm
Dickenschwingung
P
TH
Thickness
TH (dimensions; tolerance)
ID
L
< 10 mm; ± 0.05 mm < 40 mm; ± 0.15 mm
P
< 20 mm; ± 0.10 mm < 80 mm; ± 0.20 mm

­Dimension

TH
W

Tolerance

Deviation from flatness
(slight bending of
thin disks or plates
is not taken
L into account)

< 0.02 mm
L
P

P
Deviation
from
parallelism
TH

< 0.02 mm

Deviation
from
concentricity

<
_ 0.4 mm

Frequency
tolerance
Tolerance of
electric capacitance

The minimum
are
determined by
physical and
technological limits.
The thickness or
wall thickness, for
example, is limited
by the mechanical
strength of the
ceramic during
machining.
 aximum thickness
M
for polarization:
30 mm

Labeling of the polarity

WLength

TH

Standard
W tolerances

P

!

P

TH

Bender elements
constructed in
series / parallel

TH

P

TH

L

Inner diameter ID: 0.8 to 74 mm,
Thickness TH: max. 70 TH
mm

ID

L

Inner
diameter ID: 0.8 to 74 mm,
P
Length L: max. 30 mm

P
W
P

TH

L

Tube 	Outer diameter OD: 2 to 80 mm,

W

UP

 he dimensions are
T
mutually dependent
and cannot be
chosen arbitrarily.

P dimensions

L

TH

OD

P

!

 indicates the
P
poling direction.

The surface of the
electrode which is at
the positive potential
during polarization is
marked with a dot or
a cross. Alternatively
and particularly for
thin-film electrodes
the direction of
polarization is marked
by coloring the
electrode material:
A reddish color
indicates the electrode
which was at the
positive potential
during the polarization.
L
P

OD
TH

± 5 % (< 2 MHz)
> 2 MHz)
± 10 % ( =
P

ID

± 20 %

27
OD
P
ID

PIEZO TECHNOLOGY

Standard Dimensions
 Electrodes: Fired silver
(thick film) or PVD
(thin film, different
materials: e. g. CuNi or
Au)
 Points: Resonant
frequency > 1 MHz
Circles: Resonant
frequency < 1 MHz
Electrodes: Fired silver
(thick film) or PVD
(thin film, different
materials: e. g. CuNi or
Au)
 Electrodes: Fired silver
(thick film) or CuNi or Au
(thin film)

Components with standard dimensions can
be supplied at very short notice on the basis
of semi-finished materials in stock. Extreme

values cannot be combined. Geometries
which exceed the standard dimensions are
available on request.

 Disk / rod / cylinder

D
 isk / rod
with defined resonant frequency

TH
in mm
0.20
0.25
0.30
0.40
0.50
0.75
1.00
2.00
3.00
4.00
5.00
10.00
20.00

OD in mm
3

•
•
•
•
•
•
•
•
•
•
•
•
•

5

•
•
•
•
•
•
•
•
•
•
•
•
•

TH

10 16 20 25 35 40 45 50

•
•
•
•
•
•
•
•
•
•
•
•
•

•
•
•
•
•
•
•
•
•
•
•
•
•

•
•
•
•
•
•
•
•
•
•
•
•
•

OD in mm

in MHz 3

•
•
•
•

10.00

•
•
•
•
•
•
•
•
•
•
•

•
•
•
•
•
•
•
•
•
•

5.00

•
•
•
•
•
•
•
•
•

•
•
•
•
•
•
•
•
•

4.00
3.00

•
•
•
•
•
•
•
•

2.00
1.00

5

10 16 20 25 35 40 45 50

•
•
•
•
•

•
•
•
•
•
•

•
•
•
•
•
•

•
•
•
•
•
•

•
•
•
•
•

•
• •
• • •
• • • •

o o o o o o o
o o o o o o
o o o o o
o o o
o o

0.75
0.50
0.40
0.25
0.20

o
o
o
o
o

 Plate / block
TH
in mm
0.20
0.25
0.30
0.40
0.50
0.75
1.00
2.00
3.00
4.00
5.00
10.00
20.00

L x W in mm2
4x4

•
•
•
•
•
•
•
•
•
•
•
•
•

5x5

•
•
•
•
•
•
•
•
•
•
•
•
•

10 x 10

•
•
•
•
•
•
•
•
•
•
•
•
•

15 x 15

•
•
•
•
•
•
•
•
•
•
•
•
•

20 x 20

•
•
•
•
•
•
•
•
•
•
•
•
•

28

W W W. P I C E R A M I C . C O M

25 x 20

25 x 25

50 x 30

50 x 50

75 x 25

•
•
•
•
•
•
•
•
•
•
•

•
•
•
•
•
•
•
•
•
•
•

•
•
•
•
•
•
•
•
•

•
•
•
•
•
•
•
•

•
•
•
•
•
•
•

+

U

0

V

0

V

L
P

–
L

OD
D
OD

OD
D

TH
ID

P

TH

LP

P

TH

L

P

TH

W

P

OD
ID

P

TH

W

P

OD

L

ID

P

L
L
TH

TH

P

P

L

TH

P

W

W

Disks with special electrodes (wrap-around contacts)
Design
L
TH

L

OD in mm

TH in mm

Electrodes:	

Soldering instructions
for users

10 / 16 / 20 / 20 / 25 / 40

0.5 / 1.0 / 2.0

Fired silver

All our metallizations
can be soldered in
conformance with
RoHS. We recommend the use of a
solder with the composition Sn 95.5. Ag
3.8. Cu 0.7. If the
piezoceramic element
is heated throughout
above the Curie
temperature, the
material is depolarized, and there is thus
a loss of, or reduction
in, the piezoelectric
parameters.

		
(thick film)
P
W
		
or PVD (thin film)
P

TH

W

Rings
Design

OD in mm
L
P

OD
OD

TH

L

ID in mm

TH in mm

Electrodes:

2.7

0.5 / 1.0 / 2.0

Fired silver

4.3* L

0.5 / 1.0 / 2.0

(thick
film)
L

0.5 / 1.0 / 2.0

or CuNi

5.2*

0.5 / 1.0 / 2.0

(thin film)

25

16*

0.5 / 1.0 / 2.0

38

13*

5.0 / 6.0

50

19.7*

5.0 / 6.0 / 9.5

10
10*
10*

P TH

12.7

*Tolerances as fired,
s. table p. 27

TH
W
TH

5*

W

OD
TH

ID

Tubes

P

OD
P

TH

P

Design

H

H

P
ID

OD in mm

ID in mm

L in mm

Electrodes:

76
40
20
10
10
6.35
3.2
2.2

60
38
18 L
9
L
8
5.35
2.2
1.0

50
40
30
30
30
30
30
20

Inside:
Fired silver
(thick film)
Outside:
Fired silver
(thick film)
or CuNi or Au
(thin film)

P
P

This can be prevented
by adhering to the
following conditions
under all circumstances when soldering:
!

contacts must be
point contacts.
!

!

P

Tubes
with special electrodes
P
TH
ID

Quartered outer
electrodes

Wrap-around
contacts

OD in mm

The specific

soldering
temperature must
not be exceeded.

ID
OD

Design

The soldering times

must be as short
as possible (≤ 3 sec).

OD
TH

All soldered

ID in mm

L in mm

20
18
30
10
9
30
10
8
30
6.35
5.53
30
3.2
2.2
30
2.2
1.0
30
			
			

Electrodes:
Inside:
Fired silver
(thick film)
Outside:
Fired silver
(thick film)
or CuNi or Au
(thin film)

29

PIEZO TECHNOLOGY

Testing Procedures
S TA N D A R D I Z E D P R O C E D U R E S P R O V I D E C E R TA I N T Y

Comprehensive quality management controls all production process at PI Ceramic,
from the quality of the raw materials through
to the finished product. This ensures that
only ­
released parts that meet the quality
speci­fications go on for further processing
and delivery.

sorting ­categories. Visual peculiarities must
not ­negatively affect the functioning of the
­component.
The finish criteria relate to:

Electrical Testing

surface finish of the electrode
pores in the ceramic
! 
chipping of the edges, scratches, etc.

Small-Signal Measurements

Quality Level

The data for the piezoelectric and dielectric
properties such as frequencies, impedances, coupling factors, capacitances and loss
factors is determined in small-signal ­mea­s­urements.

All tests are carried out in accordance with
the DIN ISO 2859 standardized sampling
method. The AQL 1.0 level of testing ap­
plies for the electrical assessment, for example. A special product specification can
be agreed for custom-engineered products.
This ­includes the relevant release records,
plots of the measured values or individual
measured values of certain test samples
­
through to the testing of each individual
piece, for example.

Large-Signal Measurements
DC measurements with voltages of up
to 1200 V are carried out on actuators to determine the strain, hysteresis and dielectric
strength in an automated routine test.
Geometric and Visual Testing Processes
For complex measurements, image processing measurement devices and whitelight interferometers for topographical
exami­nations are available.
Visual Limit Values
Ceramic components must conform to
­certain visual specifications. PI Ceramic has
set its own criteria for the quality assessment of the surface finishes, which follow
the former MIL-STD-1376. A large variety
of appli­cations are taken into account, for
special ­
requirements there are graduated

30

W W W. P I C E R A M I C . C O M

!
!

Measurement of Material Data
The data is determined using test pieces
with the geometric dimensions laid down
in accordance with the EN 50324-2 standard and are typical values (see p. 14 ff).
Con-­formance to these typical parameters
is d
­ ocumented by continual testing of the
individual material batches before they are
released. The characteristics of the individual product can deviate from this and are
determined as a function of the geometry,
varia-tions in the manufacturing processes
and measuring or control conditions.

Integrated Components, Sub-Assemblies
FROM THE CERAMIC TO THE COMPLETE SOLUTION

Ceramics in Different Levels of Integration
PI Ceramic integrates piezo ceramics into
the ­customer’s product. This includes both
the electrical contacting of the elements according to customer requirements and the
mounting of components provided by the
customer, i. e. the gluing or the casting of
the piezoceramic elements. For the custom­
er, this means an accelerated manu­facturing
process and shorter lead times.
Sensor Components – Transducers
PI Ceramic supplies complete sound transducers in large batches for a wide variety
of application fields. These include OEM assemblies for ultrasonic flow measurement
technology, level, force and acceleration
measurement.
Piezo Actuators
The simplest form for a piezo actuator is
a piezo disk or plate, from which stack
actuators with correspondingly higher
­
displacement can be constructed. As an
­
alternative, multilayer actuators are man­
ufactured in different lengths from piezo
films with layer thicknesses below 100 μm.
Shear actuators consist of stacks of shear
plates and are polarized such that they have
a ­
displacement perpendicular to the field
applied. Bender actuators in different basic forms are constructed with two layers
(bimorph) by means of multilayer techno­
­

logy and thus provide a symmetric displacement.
Piezo actuators can be equipped with
sensors to measure the displacement and
­
are then suitable for repeatable positioning with nanometer accuracy. Piezo actuators are often integrated into a mechanical
­system where lever amplification increases
the travel. Flexure guiding systems then
provide high stiffness and minimize the
­
­lateral offset.
Piezo Motors
Piezo ceramics are the drive element for
piezomotors from Physik Instrumente (PI),
­
which make it possible to use the special
characteristics of the piezo actuators over
longer travel ranges as well.
PILine® piezo ultrasonic motors allow for
very dynamic placement motions and can
be ­manufactured with such a compact form
that they are already being used in many
new ­applications.
Piezo stepping drives provide the high
forces which piezo actuators generate over
several millimeters. The patented NEXLINE®
and ­NEXACT® drives from PI with their
complex construction from longitudinal,
­
shear and bender elements and the necessary contacting are manufactured completely at PI Ceramic.

31

PIEZO TECHNOLOGY

Application Examples for Piezo Ceramic Products
V E R S AT I L E A N D F L E X I B L E

Acousto-Electrical Transducers
!

Sound and ultrasound receivers,

e.g. microphones, level and flow
rate measurements
! 
Noise analysis
! 
Acoustic Emission Spectroscopy
Inverse Piezoelectric Effect
The piezo element deforms when an electric
voltage is applied; mechanical motions or
oscillations are generated.
Electro-Mechanical Transducers
Actuators, such as translators, bender elements, piezo motors, for example:
!

Micro- and nanopositioning.

Laser Tuning
Vibration damping
! Micropumps
! Pneumatic valves
!
!

Medical engineering, biotechnology, mechanical engineering or production technology through to semiconductor technology
– countless fields benefit from the piezoelectric characteristics of the components.
Both the direct and the inverse piezoelectric
effect have industrial applications.

Electro-Acoustic Transducers
Signal generator (buzzer)
High-voltage sources / transformers
! 
Delay lines
! 
High-powered ultrasonic generators:
!
!

Direct Piezoelectric Effect
The piezo element converts mechanical
quantities such as pressure, strain or accel­
eration into a measureable electric voltage.
Mechano-Electrical Transducers
!
!

 ensors for acceleration and pressure
S
 ibration pickups, e.g. for the detection of
V

imbalances on rotating machine parts or
crash detectors in the automotive field
! 
Ignition elements
! 
Piezo keyboards
! 
Generators, e. g. self-supporting energy
sources (energy harvesting)
! 
Passive damping

32

W W W. P I C E R A M I C . C O M

Cleaning, welding, atomization, etc.
Ultrasonic signal processing uses both
effects and evaluates propagation times,
­
­reflection and phase shift of ultrasonic waves in a frequency band from a few hertz
right up to several megahertz.
Applications are e. g.
Level measurement
Flow rate measurement
! 
Object recognition and monitoring
! 
Medical diagnostics
! 
High-resolution materials testing
! 
Sonar and echo sounders
! 
Adaptive structures
!
!

Pumping and Dosing Techniques with Piezo Drives
Increasing miniaturization places continuously higher demands on the components
used, and thus on the drives for microdosing
systems as well. Piezoelectric elements provide the solution here: They are reliable, fast
and precise in operation and can be shaped
to fit into the smallest installation space. At
the same time their energy consumption is
low, and they are small and low-cost. The
dosing quantities range from milliliter, microliter, nanoliter right down to the picoliter
range.
The fields of application for piezoelectric
pumps are in laboratory technology and
med­ical engineering, biotechnology, chemical analysis and process engineering which
frequently require reliable dosing of minute
amounts of liquids and gases.
Micro-Diaphragm Pumps,
Microdosing Valves
The drive for the pump consists of a piezo-electric actuator connected to a pump
diaphragm, usually made of metal or silicon. The deformation of the piezo element
changes the volume in the pump chamber,
the drive being separated from the medium
to be pumped by the diaphragm. Depending on the drop size and the diaphragm lift
thus required, and also the viscosity of the
medium, they can be driven directly with piezo disks, piezo stack actuators or by means
of levered systems.
Their compact dimensions also make these dosing devices suitable for lab-on-a-chip
applications.
Piezo drives are also used for opening and
closing valves. The range here is from a
simple piezo element or bender actuator for
a diaphragm valve, preloaded piezo stack actuators for large dynamics and force through
to piezo levers which carry out fine dosing
even at high backpressure.

In the automotive industry, fuel injection
­systems driven by multilayer stack actuators
are also microdosing valves.
Peristaltic Pumps, Jet Dispensers
So-called peristaltic pumps are ideal in
cases where liquids or gases are to be
dosed ­
accurately and also as evenly and
with as little pulsing as possible. The
external m
­ echanical deformation of the
tube forces the medium to be transported
through this tube. The pumping direction is
determined by the control of the individual
actuators.
The drive element consists of flat piezo bend­­
er elements, compact piezo chip actuators
or piezo stack actuators, depending on the
power and size requirements. Bender actuators are suitable mainly for applications
with low backpressure, e.g. for liquids with
low viscosity.
Piezo actuators are better able to cope with
higher backpressure and are suitable for
­dosing substances with higher viscosity, but
require more space.
Piezoelectric Microdispensers,
Drop-on-Demand
Piezoelectric microdispensers consist of a
­liquid-filled capillary which is shaped into
a nozzle and a surrounding piezo tube.
When a voltage is applied, the piezo tube
contracts and generates a pressure wave
in the capillary. This means that individual
drops are pinched off and accelerated to a
velocity of a few meters per second so that
they can travel over several centimeters.
The volume of the drop varies with the
­properties of the medium transported, the
dimensions of the pump capillaries and the
control parameters of the piezo actuator.
Micro-channels etched into silicon can also
be used as nozzles.

33

PIEZO TECHNOLOGY

Ultrasound Applications in Medical Engineering
The piezoelectric effect is used for a large number of applications in the life sciences: For example, for imaging in medical
­diagnostics, in therapy for the treatment of
pain, for aerosol generation or the removal of tartar from teeth, for scalpels in eye
surgery, for monitoring liquids, such as in
the detection of air bubbles in dialysis, or
also as a drive for dispensers and micropumps.
If high power densities are required, as is
the case with ultrasonic tartar removal or for
surgical instruments, for example, “hard“
PZT materials are used.
Ultrasonic Instruments in Surgical and
Cosmetic Applications
Nowadays, instruments with ultrasonic
drives allow minimally invasive surgical
techniques in eye and oral surgery, for example. Devices for liposuction are also often based on ultrasonic technology. Piezo
elements have long been used as ultrasonic
generators to remove mineral deposits on
human teeth.

34

Instruments for the removal of tartar with ultrasound,
OEM product. The piezo disks can be clearly seen.

W W W. P I C E R A M I C . C O M

The principle is always similar and works
just like ultrasonic material machining:
Piezoceramic composite systems made of
­
ring disks clamped together are integrated
in a sonotrode in the form of a medical in­
strument. This transmits vibration amplitudes in the μm range at operating frequencies of around 40 kHz.
Ultrasound Imaging – Sonography
The big advantage of sonography is the
harmlessness of the sound waves, which is
why the method is widely used. The ultra­
sonic transmitter contains a piezo element,
which generates ultrasonic waves and also
detects them again. The ultrasonic transmitter emits short, directional sound wave
­pulses which are reflected and scattered by
the tissue layers to different degrees. By
measuring the propagation time and the
magnitude of the reflection an image of the
structure under investigation is produced.

Ultrasound Therapy

Aerosol Production

This method involves irradiating the tissue
with ultrasonic waves by means of an ultrasonic transmitter. On the one hand, mechan­
ical, longitudinal waves generate vibrations
in the tissue, on the other, they convert part
of the ultrasonic energy into heat.

Ultrasound makes it possible to nebulize
liquids without increasing the pressure or
­
the temperature, a fact which is of crucial
importance particularly for sensitive sub­
stances such medicines.

Typical working frequencies are in the range 0.8 to over 3 MHz, both continuous wave
and pulsed wave ultrasonic techniques
being used in the application. The vibration amplitudes transmitted are in the range
around 1 µm.
Different effects are achieved depending
on the energy of the radiation. High-energy
shock waves are used to destroy kidney
­stones, for example. Low-energy shock waves effect a type of micro-massage, and are
used for the treatment of bones and ­tissue
and in physiotherapy among other things.

The process is similar to high-frequency
ultrasonic cleaning – a piezoceramic disk
­
fixed in the liquid container and oscillating
in resonance generates high-intensity ultrasonic waves. The drops of liquid are created
near the surface by capillary waves.
The diameter of the aerosol droplets is
determined by the frequency of the ultra­
­
sonic waves: The higher the frequency, the
smaller the droplets.
For direct atomization, where the piezo
­element oscillating at high frequency is in
­direct contact with the liquid, the piezo surface is specially treated against aggressive
substances.

In cosmetic applications ultrasonophoresis,
i.e. the introduction of drugs into the skin, is
becoming increasingly important.

Ultrasonic Sensors:
Piezo Elements in Metrology
Flow Rate Measurement
In many areas the measurement of flow
rates is the basis for processes operating
in a controlled way. In modern building
services, for example, the consumption
of water, hot water or heating energy is
recorded and the supply as well as the
­
­billing is thus controlled.
In industrial automation and especially in
the chemical industry, volume measurement
can replace the weighing of substance
­quantities.
Not only the flow velocity, but also the
­concentration of certain substances can be
detected.

The measurement of the propagation time
is based on the transmitting and receiving
of ultrasonic pulses on alternating sides
in the direction of flow and in the opposite ­
direction. Here, two piezo transducers
­operating as both transmitter and receiver
are arranged in a sound section diagonally
to the direction of flow.
The Doppler effect is used to evaluate the
phase and frequency shift of the ultrasonic waves which are scattered or reflected
by particles of liquid. The frequency shift
between the emitted wave front and the
­
­reflected wave front received by the same
piezo transducer is a measure of the flow
­velocity.

PIEZO TECHNOLOGY

35

Ultrasonic Sensors:
Piezo Elements in Metrology
Level Measurement

Detection of Particles and Air Bubbles

For propagation time measurements the
piezo transducer operates outside the
­medium to be measured as both transmitter and receiver. It emits an ultrasonic pulse
in air which is reflected by the content. The
­propagation time required is a measure of
the distance travelled in the empty part of
the container.

The ultrasonic bubble sensor provides a
­reliable control of liquid transport in tubes.
The sensor undertakes non-contact detection of the air and gas bubbles in the liquid through the tube wall, and thus allows
­continuous quality monitoring.

This allows non-contact measurements
­whereby the level of liquids, and also solids,
in silos for example, can be measured.
The resolution or accuracy depends on how
well the ultrasonic pulse is reflected by the
respective surface.
Submersible transducers, or tuning fork
­sensors, are almost exclusively used as level switches; several of these sensors at different heights are required to measure the
level. The piezo transducer excites a tuning
fork at its natural frequency. When in contact with the medium to be measured, the
resonance frequency shifts and this is evaluated e
­ lectronically. This method works reliably and suffers hardly any breakdowns.
­Moreover, it is independent of the type of
material to be filled.

The application possibilities are in the
­medical, pharmaceutical and food technol­
ogy fields. The sensors are used to monitor dialysis machines, infusion pumps or
transfusions. Industrial applications include
­control technology, such as the monitoring
of dosing and filling machines, for example.
Acceleration and Force Sensors,
Force Transducer
The key component of the piezoelectric
acceleration sensor is a disk of piezoelec­
tric ceramic which is connected to a seismic
mass. If the complete system is accelerated,
this mass increases the mechanical deformation of the piezo disk, and thus increases
the measurable voltage. The sensors detect
accelerations in a broad range of frequencies
and dynamics with an almost linear characteristic over the complete measurement
range.
Piezoelectric force sensors are suitable
for the measurement of dynamic tensile,
compression and shearing forces. They can
be designed with very high stiffness and can
also measure high-dynamic forces. A very
high resolution is typical.

Example of a tuning fork for level measurement,
OEM product

36

W W W. P I C E R A M I C . C O M

Piezoelectric Actuators
Piezoelectric translators are ceramic solid
state actuators which convert electrical energy directly into linear motion with theoretically unlimited resolution. The length
of the actuator changes by up to 0.15 % in
this process. The actuators simultaneously
generate large static and dynamic forces.
Their special characteristics mean that piezo
actuators are ideal for semiconductor, optical and telecommunications applications.
They are also used in the automotive field,
in pneumatic valve technology and vibration
damping, and for micropumps.
PI Ceramic provides not only hundreds
of standard versions but also special custom-ized versions quickly and reliably. The
actuators can be equipped with position
sensors for applications requiring high
closed-loop linearity of motion.

Piezo Systems with
High Force Generation: PICA
So-called high-voltage piezo actuators are
manufactured from piezoceramic disks in
a stack construction. The individual layers
are produced by pressing technology. Applica-tions for the high-load actuators can
be found in mechanical engineering for outof-round rotations, for example, in active vibration control or for switching applications.
Many modifications are possible:
!

Customized materials

!

Layer thickness and thus voltage range

!

Dimensions and basic form

!

Force ranges resp. custom load

!

Design and material of end pieces

!

Extra-tight length tolerances

!

Integrated piezoelectric sensor disks

!

Special high / low temperature versions

!

Vacuum-compatible and non-magnetic

Piezo Actuators from
PI Ceramic
!

!

!

!

!

!
!

!

!

versions
!

 otion with subM
nanometer resolution
 igh forces (up to
H
over 50,000 N), high
load capacity (up to
100 MPa)
Microsecond
response
 ree of play and fricF
tion
 inimum power
M
consumption when
maintaining its
position
Non-wearing
 igh reliability
H
(> 109 switching
cycles)
 uitable for vacuum
S
use and cleanrooms
 an operate at
C
cryogenic
temperatures
 agnetic fields have
M
no influence and
are themselves not
influenced

Choice of piezo stack actuators

37

PIEZO TECHNOLOGY

Piezoelectric Actuators
Reliable Piezo Actuators with
Low Operating Voltage: PICMA®
PICMA® multilayer actuators are constructed using tape technology and are subsequently sintered in the multilayer co-firing
process. The special PICMA® PZT ceramic
and its ­manufacturing technique produce an
ideal combination of stiffness, capacitance,
displacement, temperature stability and
­
­lifetime. The typical operating voltage of the
PICMA® multilayer actuators is 100 to 120 V.

Piezoelectric PICMA® actuators

PICMA® piezo actuators are the only multilayer actuators in the world with ceramic
­encapsulation. This technology protects the
PICMA® actuators from environmental influences, in particular humidity, and ensures
their extremely high reliability and performance even under harsh industrial operating conditions. The lifetime of PICMA®
actuators is significantly better than that of
piezo actuators with conventional polymer
encapsulation.
Since PICMA® piezo actuators do not require additional polymer insulation and can
be operated up to 150 °C they are ideal for
use in high vacuum. They even work, at a
reduced travel, in the cryogenic temperature
range.

Lever amplified system

38

Many fields of application benefit from
this reliability: Precision engineering and

Piezo nanopositioning system
with parallel kinematics and
displacement sensors

W W W. P I C E R A M I C . C O M

­recision machining as well as switches
p
and pneumatic or hydraulic valves. Further
­applications can be found in the fields of active vibration control, nanotechnology, metrology, optics and interferometry.
Preloaded Actuators – Levers –
Nanopositioning
PICMA® piezo actuators from PI Ceramic
are the key component for nanopositioning ­
systems from Physik Instrumente (PI).
They are supplied in different levels of integration: As simple actuators with position
sensor as an optional extra, encased with
or without preload, with lever amplification for increased travel, right through to
high-performance nanopositioning systems
where piezo actuators drive up to six axes by
means of zero-wear and frictionless flexure
guidings.
What they all have in common is a motion
resolution in the nanometer range, long
­
lifetimes and outstanding reliability. The
­
combination of PICMA® actuators, flexure guiding and precision measurement
­systems produces nanopositioning devices
in the highest performance class.
The fields of application range from
semiconductor
­
technology,
metrology,
microscopy, photonics through to bio­
­
technology, aerospace, astronomy and cryo­
genic environments.

Vibration Control
If a mechanical system is knocked off
­balance, this can result in vibrations which
adversely affect plants, machines and sensitive devices and thus affect the quality of
the products. In many applications it is not
possible to wait until environmental influences dampen the vibration and bring it to
a halt; moreover, several interferences usually overlap in time, resulting in a quite confusing vibration spectrum with a variety of
­frequencies.
The vibrations must therefore be insulated
in order to dynamically decouple the object from its surroundings and thus reduce
the transmission of shocks and solidborne sound. This increases the precision
of ­
measuring or production processes
and the settling times reduce significantly, which means higher throughputs are
possible. ­
Piezoelectric components can
dampen ­vibrations particularly in the lower frequency range, either actively or passively.
Passive Vibration Insulation
Elastic materials absorb the vibrations and
reduce them. Piezo elements can also be
used for this: They absorb the mechanical energy of the structural vibrations and
­convert it into electrical energy at the same
time. This is subsequently converted into
heat by means of parallel electrical resistors,
for example.
Passive elements are installed as close to
the object to be decoupled as possible.
The conventional passive methods of vibration insulation are no longer sufficient for
many of today’s technologies. Movements

and jolts caused by footfall, fans, cooling
systems, motors, machining processes etc.
can distort patterns e.g. when micromachining to such an extent that the result is unusable.
Active Vibration Insulation
In this process, counter-motions compensate or minimize the interfering vibrations,
and they do this as close to the source as
possible. To this end a suitable servo loop
must initially detect the structural vibrations
before the counter-motions are actively
­
­generated.
Adaptive materials, such as piezoceramic plates or disks, can act as both sensors
and actuators. The frequency range and the
mass to be damped determine the choice of
suitable piezo actuators. This also requires
an external voltage source and suitable
­control electronics.
Multilayer ceramic construction produces
increased efficiency. Multilayer piezoelec­
tric actuators, such as the PICMA multilayer
translators, for example, can be used anywhere where precisely dosed alternating
forces are to act on structures.
The main application fields are in aeronautics and aerospace, where fuel must
be saved, for example, or the oscillations
of ­lattice constructions for antennas are to
be damped. One of the objectives when
­building vehicles and ships is to minimize
noise in the interior. In mechanical engineer­
ing for example, the vibrations of rotating
drives are i­ncreasingly being insulated and
actively suppressed.

39

PIEZO TECHNOLOGY

Adaptive Systems, Smart Structures
Industrial Applications of the Future
The development of adaptive systems is
increasing in significance for modern industry. Intelligent materials are becoming
more and more important here, so-called
“smart materials“ which possess both sensor and actu­ator characteristics. They detect

F

U

A deformation of the substrate gives rise to an
electrical signal. The DuraAct transducer can
­therefore detect deformations with precision
and high dynamics.

F

Piezo ceramics belong to this group of
­adaptive materials. The piezoelectric Dura­
Act patch transducers provide a compact
solution. They are based on a thin piezoceramic film which is covered with elec­
trically conducting material to make the
F
electrical contact and are subsequently
­
­embedded in an elastic polymer composite.
The piezoceramic element, which is
brittle
U
in itself, is thus mechanically preloaded and
electrically insulated and is so robust that it
can even be applied to curved surfaces with
bending radii of only a few millimeters.
The transducers are simply glued to the corresponding substrate or already integrated
into a structure during manufacture, where
they detect or generate vibrations or contour
deformations in the component itself. The
size of the contour change here is strongly dependent on the substrate properties
and ranges from the nanometer up into the
­millimeter range.

F

U

changed environmental conditions such as
impact, pressure or bending loads and react
to them.

U

The DuraAct patch transducer contracts when a
voltage is applied. Attached to a substrate it acts
as a bender element in this case.

Even under high dynamic load the construction guarantees high damage tolerance, reliability and a lifetime of more than 109 ­cycles.
They have low susceptibility to wear and
defects because the transducers are solid
state actuators and thus do not contain any
moving parts.

Energy from Vibration – Energy Harvesting

40

To dispense with the need for batteries and
the associated servicing work, it is possible
to use energy from the surrounding environment. Piezo elements convert kinetic energy
from oscillations or shocks into electrical
energy.
The robust and compact DuraAct trans­ducers can also be used here. Deformations

W W W. P I C E R A M I C . C O M

of the substrate cause a deformation of the
DuraAct patch transducer and thus generate an electrical signal. Suitable transducer
and storage electronics can thus provide a
­decentralized supply for monitoring systems
installed at locations which are difficult to
­access.

Ultrasonic Machining of Materials
Ultrasonic applications for the machining
of materials are characterized mainly by
their high power density. The applications
typically take place in resonance mode in order to achieve maximum mechanical power
at small excitation amplitude.
The ferroelectric “hard“ PZT materials are
particularly suitable for these high-power
ultrasonic machining applications. They
­
exhibit only low dielectric losses even in
­
­continuous operation, and thus consequently only low intrinsic warming.
Their typical piezoelectric characteristics
are particularly important for the high mechanical loads and operating field strengths:
Moderate permittivity, large piezoelectric
­
coupling factors, high mechanical quality
factors and very good stability.
Ultrasound for Bonding:
Joining Techniques
Ultrasonic bonding processes can be used
to bond various materials such as thermo­
plastics, and metallic materials like aluminum

and copper and their alloys. This principle is
used by wire bonders in the semiconductor
industry and ultrasonic welding systems, for
example.
The ultrasonic energy is generated primarily
via mechanically strained piezo ring disks,
amplified by means of a so-called sonotrode and applied to the bond. The friction of
the bonding partners then generates the
heat ­required to fuse, or weld, the materials
­together around the bond.
Shaping by Machining
Apart from the welding processes, the ultrasonic processing of hard mineral or crystalline materials such as ceramic, graphite
or glass, especially by ultrasonic drilling or
­machining, like vibration lapping, is increas­
ingly gaining in importance.
This makes it possible to produce geometrically complex shapes and three-dimensional
contours, with only a small contact pressure
being required. Specially shaped sonotrodes
are also used here as the machining tool.

Sonar Technology and Hydroacoustics
Sonar technology systems (sonar = sound
navigation and ranging) and hydroacou­
stic systems are used for measuring and
position-finding tasks especially in maritime applications. The development of
high-resolution sonar systems, which
was driven by military applications, is now
increasingly being r­ eplaced by civil applications.
Apart from still used submarine positioning

sonars, systems are used for depth measurements, for locating shoals of fish, for subsurface relief surveying in shallow waters,
­underwater communication, etc.
A diverse range of piezo components is
used, ranging from the simple disk or
plate and ­
stacked transducers through
to sonar arrays which make it possible
to achieve a linear d
­ eflection of the directivity pattern of the ­ultrasonic wave.

PIEZO TECHNOLOGY

41

The PI Group Milestones

42
70

WWW
AM
MIICC. .CCOOMM
WW
W..PP II C
CE RA

2001

1998

1994

1993

1992

1991

1987

1970

A SUCCESS STORY

2015
2014

2011
2007
2002

2004

43
71

PPI IEEZZOO TT E C H
HN
N OOLLOOGGYY

Headquarters

Subsidiaries

GERMANY

USA (East) & CANADA

USA (West) & MEXIKO

PI Ceramic GmbH
Lindenstrasse
Lederhose
Phone +49 36604 882-0
Fax		 +49 36604 882-4109
info@piceramic.com
www.piceramic.com

PI (Physik Instrumente) L.P.
Auburn, MA 01501
www.pi-usa.us

PI (Physik Instrumente) L.P.
Irvine, CA 92620
www.pi-usa.us

USA (San Francisco Bay Area Office) UK & IRELAND

Physik Instrumente (PI)
GmbH & Co. KG
Auf der Roemerstrasse 1
76228 Karlsruhe
Phone +49 721 4846-0
Fax		 +49 721 4846-1019
info@pi.ws
www.pi.ws
PI miCos GmbH
Freiburger Strasse 30
Eschbach
Phone +49 7634 5057-0
Fax +49 7634 5057-99
info@pimicos.com
www.pi.ws

Visit us on
youtube!

PI (Physik Instrumente) L.P.
Sausalito, CA 94965
www.pi-usa.us

PI (Physik Instrumente) Ltd.
Cranfield, Bedford
www.physikinstrumente.co.uk

ITALY

NETHERLANDS

Physik Instrumente (PI) S. r. l.
Bresso
www.pionline.it

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www.pi.ws

FRANCE		

SPAIN

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www.pi.ws

Micos Iberia S.L.
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www.pimicos.es

JAPAN
PI Japan Co., Ltd.
Tokyo
www.pi-japan.jp

PI Japan Co., Ltd.
Osaka
www.pi-japan.jp

CHINA

© Physik Instrumente (PI) GmbH & Co. KG
All contents, including texts, graphics, data etc., as well as their layout,
are subject to copyright and other protective laws. Any copying, modi­
fication or redistribution in whole or in parts is subject to a written
permission of PI.
Although the information in this document has been compiled with
the greatest care, errors cannot be ruled out completely. Therefore,
we cannot guarantee for the information being complete, correct and
up to date. Illustrations may differ from the original and are not bind­
ing. PI reserves the right to supplement or change the information
provided without prior notice.

Physik Instrumente
(PI Shanghai) Co., Ltd.
Shanghai
www.pi-china.cn

Physik Instrumente
(PI Shanghai) Co., Ltd.
Beijing
www.pi­china.cn

SOUTHEAST ASIA

TAIWAN

PI (Physik Instrumente)
Singapore LLP
Singapore
www.pi-singapore.sg
For ID / MY / PH / SG / TH / VNM

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Taiwan Ltd.
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www.pi­taiwan.com.tw

KOREA
PI Korea Ltd.
Seoul
www.pikorea.co.kr

W W W. P I C E R A M I C . C O M

CAT125E R3 Piezoelectric Ceramic Products 12/2016 . 0; Subject to change without notice . © Physik Instrumente (PI) GmbH & Co . KG 2016

PIEZO TECHNOLOGY



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