Everything about Relative Atomic Mass totally explained
The
atomic mass (m
a) is the
mass of an atom, most often expressed in
unified atomic mass units. The atomic mass may be considered to be the total mass of
protons,
neutrons and
electrons in a single
atom (when the atom is motionless). The atomic mass is sometimes incorrectly used as a synonym of
relative atomic mass,
average atomic mass and
atomic weight; however, these differ subtly from the atomic mass. The atomic mass is defined as the mass of an atom, which can only be one
isotope at a time and isn't an abundance-weighted average. In the case of many elements that have one dominant isotope the actual numerical difference between the atomic mass of the most common isotope and the relative atomic mass or standard atomic weights can be very small such that it doesn't affect most bulk calculations but such an error can be critical when considering individual atoms. For elements with more than one common isotope the difference even to the most common atomic mass can be half a mass unit or more (for example
chlorine). The atomic mass of an uncommon isotope can differ from the relative atomic mass or standard atomic weight by several mass units.
The
relative atomic mass (A
r) (also known as
atomic weight and
average atomic mass) is the average of the atomic masses of all the chemical element's
isotopes as found in a particular environment, weighted by isotopic abundance. This is frequently used as a synonym for the
standard atomic weight and it isn't incorrect to do so since the standard atomic weights are relative atomic masses, although it's less specific to do so. Relative atomic mass also refers to non-terrestrial environments and highly specific terrestrial environments that deviate from the average or have different certainties (number of significant figures) than the standard atomic weights.
The
standard atomic weight refers to the mean relative atomic mass of an element in the local environment of the
Earth's crust and
atmosphere as determined by the
IUPAC Commission on Atomic Weights and Isotopic Abundances. These are what are included in a standard
periodic table and is what is used in most bulk calculations. An
uncertainty in brackets is included which often reflects natural variability in isotopic distribution rather than uncertainty in measurement. For
synthetic elements the isotope formed depends on the means of synthesis, so the concept of natural isotope abundance has no meaning. Therefore, for synthetic elements the total nucleon count of the most stable isotope (ie, the isotope with the longest half-life) is listed in brackets in place of the standard atomic weight.
Lithium represents a unique case where the natural abundances of the isotopes have been perturbed by human activities to the point of affecting the uncertainty in its standard atomic weight, even in samples obtained from natural sources such as rivers.
The
relative isotopic mass is the relative mass of the isotope, scaled with
carbon-12 as exactly 12. No other isotopes have whole number masses due to the different mass of neutrons and protons, as well as loss/gain of mass to
binding energy. However, since
mass defect due to binding energy is minimal compared to the mass of a nucleon, rounding the atomic mass of an isotope tells you the total nucleon count. Neutron count can then be derived by subtracting the
atomic number.
Mass defects in atomic masses
The pattern in the amounts the atomic masses deviate from their mass numbers is as follows: the deviation starts positive at
hydrogen-1, becomes negative until a minimum is reached at
iron-56, iron-58 and
nickel-62, then increases to positive values in the heavy isotopes, with increasing atomic number. This corresponds to the following:
nuclear fission in an element heavier than
iron produces energy, and fission in any element lighter than iron requires energy. The opposite is true of
nuclear fusion reactions: fusion in elements lighter than iron produces energy, and fusion in elements heavier than iron requires energy.
Measurement of atomic masses
Direct comparison and measurement of the masses of atoms is achieved with
mass spectrometry.
Conversion factor between atomic mass units and grams
The standard scientific unit for dealing with atoms in macroscopic quantities is the
mole (mol), which is defined arbitrarily as the amount of a substance with as many atoms or other units as there are in 12 grams of the carbon isotope C-12. The number of atoms in a mole is called
Avogadro's number, the value of which is approximately 6.022 × 10 mol
-1. One mole of a substance always contains almost exactly the
relative atomic mass or
molar mass of that substance (which is the concept of
molar mass), expressed in grams; however, this is almost never true for the
atomic mass. For example, the
standard atomic weight of
iron is 55.847 g/mol, and therefore one mole of iron as commonly found on earth has a mass of 55.847 grams. The
atomic mass of an
56Fe isotope is 55.935 u and one mole of
56Fe will in theory weigh 55.935g, but such amounts of pure
56Fe have never existed.
The formulaic conversion between atomic mass and
SI mass in grams for a single atom is:
» :
is the
atomic mass unit and
is
Avogadro's number.
Relationship between atomic and molecular masses
Similar definitions apply to
molecules. One can compute the
molecular mass of a compound by adding the atomic masses of its constituent atoms (nuclides). One can compute the
molar mass of a compound by adding the relative atomic masses of the elements given in the
chemical formula. In both cases the multiplicity of the atoms (the number of times it occurs) must be taken into account, usually by multiplication of each unique mass by its multiplicity.
History
In the
history of chemistry the first scientists to determine atomic weights were
John Dalton between 1803 and 1805 and
Jöns Jakob Berzelius between 1808 and 1826. Atomic weight was originally defined relative to that of the lightest element hydrogen taken as 1.00. In the 1860's
Stanislao Cannizzaro refined atomic weights by applying
Avogadro's law (notably at the
Karlsruhe Congress of 1860). He formulated a law to determine atomic weights of elements:
the different quantities of the same element contained in different molecules are all whole multiples of the atomic weight and determined atomic weights and molecular weights by comparing the
vapor density of a collection of gases with molecules containing one or more of the chemical element in question .
In the early twentieth century, up until the 1960's
chemists and
physicists used two different atomic mass scales. The chemists used a scale such that the natural mixture of
oxygen isotopes had an atomic mass 16, while the physicists assigned the same number 16 to the atomic mass of the most common oxygen isotope (containing eight protons and eight neutrons). However, because
oxygen-17 and
oxygen-18 are also present in natural
oxygen this led to two different tables of atomic mass. The unified scale based on carbon-12,
12C, met the physicists' need to base the scale on a pure isotope, while being numerically close to the old chemists' scale.
The term
atomic weight is being phased out slowly and being replaced by relative atomic mass, in most current usage. The history of this shift in nomenclature reaches back to the 1960's and has been the source of much debate in the scientific community. The debate was largely created by the adoption of the
unified atomic mass unit and the realization that weight was in some ways an inappropriate term. The argument for keeping the term "atomic weight" was primarily that it was a well understood term to those in the field, that the term "atomic mass" was already in use (as it's currently defined) and that the term "relative atomic mass" was in some ways redundant. In 1979, in a compromise move, the definition was refined and the term "relative atomic mass" was introduced as a secondary synonym. Twenty years later the primacy of these synonyms was reversed and the term "relative atomic mass" is now the preferred term; however the "standard atomic weights" have maintained the same name.
Table of standard atomic weights
See also
Further Information
Get more info on 'Relative Atomic Mass'.
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