Thiele Parameters
Thiele parameters provide a precise description of driver behavior. They are now routinely provided by speaker manufacturers, and can be measured by a number of systems such as CLIO. There are three cautions:
Acoustic vs. mechanical parameters
Acoustic parameters contain an "A" in the subscript, and are normalized by the effective piston area of the driver. The corresponding mechanical parameters, which contain an "M" in the subscript, are obtained by multiplying by the square of this area in the case of mass and resistive loss, or dividing by the square of the area in the case of compliance.
Parameter definitions and units
All equations in the Thiele-Small analysis section use MKS units. Two examples of units as provided by the CLIO system, and by the Solen catalog, are given in the table below. (Solen units are those actually provided for my Vifa driver, which differ from the definitions given in the front of the catalog).
|
Parameter |
Description |
MKS units |
CLIO units |
Solen units |
|
Bl |
Force factor |
N-amps-1 |
N-amps-1 |
N-amps-1 |
|
CMS |
Suspension compliance |
m-N-1 |
mm-N-1 |
|
|
CAS |
Acoustic compliance |
m5-N-1 |
m5-N-1 |
|
|
RMS |
Suspension loss |
kg-s-1 |
|
|
|
RAS |
Acoustic suspension resistance |
kg-s-1-m-4 |
see note |
|
|
MMS |
Moving mass |
kg |
grams |
grams |
|
MAS |
Acoustic mass |
kg-m-4 |
kg-m-4 |
|
|
SD |
Effective piston area |
m2 |
mm2 |
cm2 |
|
VAS |
Equivalent air volume |
m3 |
liters |
liters |
|
RE |
DC voice coil resistance |
Ohms |
Ohms |
Ohms |
|
LE |
Voice coil inductance |
Henries |
mH |
mH |
|
fS |
Resonance frequency in air |
Hz |
Hz |
Hz |
|
QMS |
Mechanical Q factor |
- |
- |
- |
|
QES |
Electrical Q factor |
- |
- |
- |
|
QTS |
Total Q factor |
- |
- |
- |
Note: CLIO denotes this as kOhms, but that is incorrect.
Supplementary equations
If the following parameter values are not available, they may be calculated using the following equations. Some of the results are approximate, and measured values are always preferred.

A comparison of measured vs. calculated values shows fairly good agreement.
|
Parameter |
CLIO |
Calculated |
|
MMS |
0.00642 |
0.00657 |
|
RMS |
2.13 |
2.18 |
|
CMS |
0.000700 |
0.000686 |
Comparison of catalog and measured values
The catalog values are from Solen, for my P13WH-00-08 5" Vifa driver. The measured values are again from my CLIO system. As noted above, there are some significant differences.
|
Parameter |
Catalog |
Measured |
|
fS |
60 |
74.99 |
|
Qts |
0.33 |
0.4 |
|
QES |
0.43 |
0.56 |
|
QMS |
1.38 |
1.42 |
|
Bl |
6 |
5.57 |
|
MMS |
0.0075 |
0.0064 |
|
Vas |
0.01 |
0.00725 |
|
RE |
5.7 |
6.4 |
|
Le |
0.7 |
1.09 |