Hi Bob,

your description oft he spurious coming from higher overtone of low-frequency 
modes is correct. I want to add, that all thickness-shear mode crystals (such 
as AT, BT and SC-cut) have so-called an-harmonic spurious modes, which is a 
whole ensemble of spurs located  slightly above above the main mode 
(fundamental or overtone mode). "slightly means starting at about 50 kHz to 200 
kHz above for fundamental mode and about 30 ... 50 kHz above for overtone 
modes. These an-harmonic modes are relaled to the length and width of the 
active area (electrode).
These spurious modes do not come only into play for wide-pull VCXO, but also in 
the case that the EFC input is used for modulation with signals in the audio 
frequency range.
Remember that a frequency modulated signal has side-lines which are N* the 
audio frequency apart from the carrier. The amplitude of these side lines 
follows the so-called Bessel functions and varies with the modulation index.
If it happens that such a "Bessel-line" for a particular modulation frequency 
coincides with such a spur, it comes to an interference, This means the 
modulation frequency response becomes a discontinuity (dip) at a sharp 
frequency. Such band breaks do even occur if the spurious is so weak that it 
can barely be seen on a network analyzer.

Regards

Bernd   DK1AG
AXTAL GmbH & Co. KG
www.axtal.com

-----Ursprüngliche Nachricht-----
Von: time-nuts [mailto:time-nuts-boun...@febo.com] Im Auftrag von Bob Camp
Gesendet: Sonntag, 7. September 2014 04:21
An: Discussion of precise time and frequency measurement
Betreff: Re: [time-nuts] OCXO Voltage Input? (Bob Camp)

Hi

Simple answer = crystals are never perfect.

Longer winded, but very incomplete answer =

A spurious response in a crystal normally refers to a mode that is not one of 
the “identified” modes of the crystal. An AT has a set of identified modes, an 
SC has a more complex set of modes. In the case of the AT it would be the 
fundamental and the odd overtones. In the case of the SC you have the A, B, C 
modes and their odd overtones. None of those are considered spurious. 

A spur can come from a lot of different places.  One common one is higher order 
vibrations in a longer dimension face of the resonator. The 183rd overtone of 
the width of the blank is still a legitimate resonant mode. Another source are 
modes other than shear (like flex). Deriving a full catalog of all the modes of 
an arbitrary blank design is a major project. There are only a handful of 
people out there who are into that sort of thing (as opposed to simply cranking 
through some formulas).  

Practical answer = Don’t worry about it. Unless you are building a wide pull 
VCXO or a wide deviation VCXO (often the same thing) you will never notice 
them. 

Bob

On Sep 6, 2014, at 9:13 PM, Hal Murray <hmur...@megapathdsl.net> wrote:

> 
> kb...@n1k.org said:
>> The biggest problem comes from crystal spurs rather than crystal Q. 
> 
> What's the mechanism for making spurs with a crystal?
> 
> --
> These are my opinions.  I hate spam.
> 
> 
> 
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