Regarding the precision and accuracy of Atomic mass

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SUMMARY

The discussion focuses on the interpretation of atomic mass values listed by the CIAAW, specifically the notation used for stable isotopes. The number in parentheses, such as (4) in Helium-4: 4.002 603 2541(4), indicates the standard uncertainty of the atomic mass, which is 0.0000000004. The conversation also highlights the discrepancy between current atomic mass values and older references, such as the 1983 value of 4.002 602, emphasizing the importance of citing updated sources to avoid confusion.

PREREQUISITES
  • Understanding of atomic mass and isotopes
  • Familiarity with the concept of standard uncertainty in measurements
  • Knowledge of the CIAAW (Commission on Isotopic Abundances and Atomic Weights) standards
  • Basic grasp of scientific notation and significant figures
NEXT STEPS
  • Research the latest atomic mass values from the CIAAW website
  • Learn about the significance of standard uncertainty in scientific measurements
  • Explore the history and updates of atomic mass standards
  • Investigate the differences between various atomic mass sources and their citation practices
USEFUL FOR

Students, researchers, and professionals in the fields of chemistry and physics, particularly those interested in atomic mass standards and measurement accuracy.

Sebastiaan
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The website of CIAAW list the 2012 atomic mass in Daltons (Atomic Mass Units) and mention the atomic mass of stable isotopes followed by an additional number between braces. For example Helium-4: 4.002 603 2541(4)
My first question is what does the number between braces mean? I assume it is some uncertainty, but how to interpreter it exactly? Secondly, why aren't these number used at many other sources which appear to use the dated 4.002 602 which originates from 1983.
 
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Sebastiaan said:
Secondly, why aren't these number used at many other sources which appear to use the dated 4.002 602 which originates from 1983.
Welcome to the wonderful world of "standards/conventions." As to "Why," long as you cite your sources in excruciating detail, you cannot be faulted.
 
Alright, I think I understand the brackets after another number means a bit better, it means the standard uncertainty expressed in terms of the least significant digit, so the (4) in 4.002 603 2541(4) means a standard uncertainty of 0.0000000004
 

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