A primary frequency standard is one that faithfully implements the definition 
of the SI second. Thus primary standards are based on Cs. But not all Cs-based 
clocks are primary. CSAC, for example, is not a primary standard. Rubidium, 
hydrogen, quartz, or pendulum clocks are not primary.

The definition spells out zero magnetic field, zero temperature (zero 
velocity), and zero altitude on the earth's rotating geoid. There are many 
other practical physics details that need to be addressed. For a good example 
of what it takes to make a Cs clock a primary standard see:

http://tf.nist.gov/general/pdf/1497.pdf
http://tf.nist.gov/general/pdf/1846.pdf

So strictly speaking no Cs clock actually runs at exactly 9192.631770 MHz since 
you need a certain amount of magnetic field to isolate the hyperfine 
transition, you can't run at absolute zero, no labs are actually at sea level, 
and atoms are not simple toys, etc.

A lot of work is required to identify, predict, and quantify a host of factors. 
Again, please read or glance at those papers to appreciate the work that 
national metrology labs do to "make copies of the SI second" for their country.

Some day the definition of the SI second will change; optical clocks offer much 
greater promise than microwave clocks. Note the length of a second won't 
change, it's just that the definition of a second will be more precise.

/tvb


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