Unfortunately, you will probably never get a truly accurate atomic clock web service due to delays in transporting messages / packets back and forth from your computer to the server.
Most atomic clocks that are accessible over the Internet use a specific protocol called Network Time Protocol , which includes a jitter buffer that specifically takes into account and configures based on latency of transportation. This provides a more accurate representation of atomic clocks than using a web service via HTTP.
I think that if you should use a web service, the most accurate will be the one that is located on the server, which is physically and geographically closest to you, and also has the least number of network flights to get from your own machine to the server, since this will reduce packet delay.
Craigtp
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