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4 determining z-ratio, Section 6.4, determining z-ratio, on – INFICON IQM-233 Thin Film Deposition Controller PCI-Express Card Operating Manual User Manual

Page 89

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6 - 3

PN

07

4-

58

4-

P1

A

IQM-233 Operating Manual

5

Enter this new value for Tooling, rounded to the nearest 0.01%, in the Tooling
box of the IQM-233 Standard software;

T

m

will equal

T

x

if calculations are done

properly.

NOTE: Due to variations in source distribution and other system factors, it is

recommended that a minimum of three separate evaporations be made to
obtain an average value for Tooling.

6.4 Determining Z-Ratio

A list of Z-Ratio values for materials commonly used are available in

Appendix A,

Material Table

. For other materials, Z-Ratio can be calculated from the following

formula:

[3]

[4]

where:

d

f

= Density (g/cm

3

) of deposited film

µ

f

= Shear modulus (dynes/cm

2

) of deposited film

d

q

= Density of quartz (crystal) (2.649 g/cm

3

)

µ

q

= Shear modulus of quartz (crystal) (3.32 x 10

11

dynes/cm

2

)

The densities and shear moduli of many materials can be found in a number of
handbooks.

Laboratory results indicate that Z-Ratio values of materials in thin-film form are very
close to the bulk values. However, for high stress producing materials, Z-Ratio
values of thin films are slightly smaller than those of the bulk materials. For
applications that require more precise calibration, the following direct method is
suggested:

1

Establish the correct density value as described in

section 6.2 on page 6-1

.

2

Install a new crystal and record its starting frequency, F

co

. The starting

frequency will be displayed in the Freq (Hz) field of the Sensor-Output window.

3

Make a deposition on a test substrate such that the percent crystal life display
will read approximately 50%, or near the end of crystal life for the particular
material, whichever is smaller (the accuracy of the Z-Ratio determination will
improve with increased material thickness).

Z

d

q

q

d

f

f

------------

1
2

---

=

Z

9.378 10

5

d

f

f

-

1
2

---

=