World Journal of Chemical Education
ISSN (Print): 2375-1665 ISSN (Online): 2375-1657 Website: https://www.sciepub.com/journal/wjce Editor-in-chief: Prof. V. Jagannadham
Open Access
Journal Browser
Go
World Journal of Chemical Education. 2025, 13(3), 60-64
DOI: 10.12691/wjce-13-3-4
Open AccessArticle

An Analytical Approach to Comprehending Fundamental Atomic Mass-Related Definitions

Carlos E. Umaña1, 2,

1Freelancer Consultant Engineer

2Former Faculty Member, Materials Department, School of Mechanical Engineering, University of Costa Rica

Pub. Date: August 27, 2025

Cite this paper:
Carlos E. Umaña. An Analytical Approach to Comprehending Fundamental Atomic Mass-Related Definitions. World Journal of Chemical Education. 2025; 13(3):60-64. doi: 10.12691/wjce-13-3-4

Abstract

This paper offers a clear framework for understanding basic atomic concepts.Throughout the manuscript, mass expressions are described as scalar quantitiesthatare characterized by a symbol, a numerical value, and a unit of measurement.It defines the role of the IUPAC ratio,explains the meaning of absolute and relative atomic mass, and determines the origin and relationship among molar mass, Avogadro’s number, and the amount of substance. The approach moves from isolated isotopes to poly-isotopic elements, and from absolute atomic mass to relative atomic mass when applicable.The atomic mass ratio, , plays an important role in this work. Absolute atomic mass, a magnitude expressed in kilograms, differs from relative atomic mass, denoted by the numerical value with the unified atomic mass unit . The relationship between the ratio and the periodic table of elements is highlighted, emphasizing factors, besides the controversy between atomic mass and atomic weight, that may confuse users of the table.The concept of any mass quantity,,is introduced to clarify the meaning of the atomic mass-weighted average. Furthermore, the ideain conjunction with the ratio..is used to demonstrate the origin and relationship among molar mass, Avogadro’s number, and the amount of substance.

Keywords:
scalar quantity IUPAC ratio Ar absolute and relative atomic mass molar mass Avogadro´s Number amount of substance

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  De Bièvre, P., Peiser, H. S. Pure & Appl. Chem., Vol. 64, No. 10, pp. 1535-1543. 1992.
 
[2]  Balocchi, E., Modak, B., Martínez, M., Padilla, K., Reyes C. F. andGarritz, A., Aprendizaje cooperativo del concepto ‘cantidad de sustancia’ con base en la teoría atómica de Dalton y la reacción química,Educación Química, 16(1), 14-21. 2006. Vilches, A., Gil Pérez, D., Algunas consideraciones clave, pero generalmente olvidadas, para lograr la comprensión del concepto de cantidad de sustancia,Educación Química, 21(3), 207-211. 2010. ISSN 0187-893-X.
 
[3]  Barański, A., The atomic mass unit, the Avogadro constant, and the mole: a way to understanding, J. Chem. Educ., 89, 97-102. 2012.
 
[4]  Giunta, C.J., The mole and amount of substance in chemistry and Education: beyond official definitions, J. Chem. Educ., 92, 1593-1597. 2015.
 
[5]  Kacker, R.N., Irikura, K. k., The SI unit mole and Avogadro constant, Measurement: Sensors, Vol. 38, Supplement, May 2025, 101767.
 
[6]  IUPAC. Compendium of Chemical Terminology, 2nd ed. (the "Gold Book"). Compiled by A. D. McNaught and A. Wilkinson. Blackwell Scientific Publications, Oxford (1997). Online version (2019) created by S. J. Chalk. ISBN 0-9678550-9-8.
 
[7]  Meija, J., Coplen, T. B., Berglund, M., Brand, W. A., De Bièvre, P., Gröning, M., Holden, N. E., Irrgeher, J., Loss, R. D., Walczyk, T. and Prohaska, T. (2016)."Atomic weights of the elements 2013 (IUPAC Technical Report)" Pure and Applied Chemistry, vol. 88, No. 3, pp. 265-291.
 
[8]  Brown, T. E.; LeMay, H. E.; Bursten, B. E.; Murphy, C.; Woodward, P.; Stoltzfus, M. E,Química. La ciencia central, 1era ed.; Pearson Educación de México, S.A. de C.V. 2021.
 
[9]  Umaña, C.E.,"The Atomic Mass Unit and the Avogadro Constant: An Approach to Introduce these Concepts", National Educators Workshop: Update 2001. Standard Experiments in Engineering, Materials Science, and Technology, NASA/CP-2002-211735, 351-359. 1 Jun. 2002.
 
[10]  CODATA Recommended Values of the Fundamental Physical Constants: 2014. https:// codata.org/blog / 2015/ 08/04/codata-recomm ended-values -of-the- fundamental- physical-constants-2014/.
 
[11]  NIST Atomic Weights and Isotopic Composition for all elements. https://physics.nist.gov/cgi-bin/ Compositions/ stand_alone. plDevelopers and Contributors:J. S. Coursey, D. J. Schwab, J. J. Tsai, and R. A. Dragoset. NIST Physical Measurement Laboratory.The atomic weights are available for elements 1 through 118 and isotopic compositions or abundances are given when appropriate. The atomic weights data were published by J. Meija et al in Atomic Weights of the Elements 2013, and the isotopic compositions data were published by M. Berglund and M.E. Wieser in Isotopic Compositions of the Elements 2009. The relative atomic masses of the isotopes data were published by M. Wang, G. Audi, A.H. Wapstra, F.G. Kondev, M. MacCormick, X. Xu1, and B. Pfeiffer in The AME2012 Atomic Mass Evaluation. These data have been compiled from the above sources for the user's convenience and do not represent a critical evaluation by the NIST Physical Measurement Laboratory.
 
[12]  Kolb, D., But if atoms are so tiny, Journal of Chemical Education, Vol. 54, No. 9, 543-547.September 1977.
 
[13]  The International System of Units (PDF), V3.01 (9th ed.), International Bureau of Weights and Measures, Aug 2024, ISBN 978-92-822-2272-0.