Abundance of the chemical elements


The abundance of the chemical elements is a measure of the occurrence of the chemical elements relative to all other elements in a given environment. Abundance is measured in one of three ways: by the mass-fraction ; by the mole-fraction ; or by the volume-fraction. Volume-fraction is a common abundance measure in mixed gases such as planetary atmospheres, and is similar in value to molecular mole-fraction for gas mixtures at relatively low densities and pressures, and ideal gas mixtures. Most abundance values in this article are given as mass-fractions.
For example, the abundance of oxygen in pure water can be measured in two ways: the mass fraction is about 89%, because that is the fraction of water's mass which is oxygen. However, the mole-fraction is about 33% because only 1 atom of 3 in water, H2O, is oxygen. As another example, looking at the mass-fraction abundance of hydrogen and helium in both the Universe as a whole and in the atmospheres of gas-giant planets such as Jupiter, it is 74% for hydrogen and 23–25% for helium; while the mole-fraction for hydrogen is 92%, and for helium is 8%, in these environments. Changing the given environment to Jupiter's outer atmosphere, where hydrogen is diatomic while helium is not, changes the molecular mole-fraction, as well as the fraction of atmosphere by volume, of hydrogen to about 86%, and of helium to 13%.
The abundance of chemical elements in the universe is dominated by the large amounts of hydrogen and helium which were produced in the Big Bang. Remaining elements, making up only about 2% of the universe, were largely produced by supernovae and certain red giant stars. Lithium, beryllium and boron are rare because although they are produced by nuclear fusion, they are then destroyed by other reactions in the stars. The elements from carbon to iron are relatively more abundant in the universe because of the ease of making them in supernova nucleosynthesis. Elements of higher atomic number than iron become progressively rarer in the universe, because they increasingly absorb stellar energy in their production. Also, elements with even atomic numbers are generally more common than their neighbors in the periodic table, due to favorable energetics of formation.
The abundance of elements in the Sun and outer planets is similar to that in the universe. Due to solar heating, the elements of Earth and the inner rocky planets of the Solar System have undergone an additional depletion of volatile hydrogen, helium, neon, nitrogen, and carbon. The crust, mantle, and core of the Earth show evidence of chemical segregation plus some sequestration by density. Lighter silicates of aluminum are found in the crust, with more magnesium silicate in the mantle, while metallic iron and nickel compose the core. The abundance of elements in specialized environments, such as atmospheres, or oceans, or the human body, are primarily a product of chemical interactions with the medium in which they reside.

Universe

ZElementMass fraction
1Hydrogen739,000
2Helium240,000
8Oxygen10,400
6Carbon4,600
10Neon1,340
26Iron1,090
7Nitrogen960
14Silicon650
12Magnesium580
16Sulfur440
Total999,500

The elements – that is, ordinary matter made of protons, neutrons, and electrons, are only a small part of the content of the Universe. Cosmological observations suggest that only 4.6% of the universe's energy comprises the visible baryonic matter that constitutes stars, planets, and living beings. The rest is thought to be made up of dark energy and dark matter. These are forms of matter and energy believed to exist on the basis of scientific theory and inductive reasoning based on observations, but they have not been directly observed and their nature is not well understood.
Most standard matter is found in intergalactic gas, stars, and interstellar clouds, in the form of atoms or ions, although it can be found in degenerate forms in extreme astrophysical settings, such as the high densities inside white dwarfs and neutron stars.
Hydrogen is the most abundant element in the Universe; helium is second. However, after this, the rank of abundance does not continue to correspond to the atomic number; oxygen has abundance rank 3, but atomic number 8. All others are substantially less common.
The abundance of the lightest elements is well predicted by the standard cosmological model, since they were mostly produced shortly after the Big Bang, in a process known as Big Bang nucleosynthesis. Heavier elements were mostly produced much later, inside of stars.
Hydrogen and helium are estimated to make up roughly 74% and 24% of all baryonic matter in the universe respectively. Despite comprising only a very small fraction of the universe, the remaining "heavy elements" can greatly influence astronomical phenomena. Only about 2% of the Milky Way galaxy's disk is composed of heavy elements.
These other elements are generated by stellar processes. In astronomy, a "metal" is any element other than hydrogen or helium. This distinction is significant because hydrogen and helium are the only elements that were produced in significant quantities in the Big Bang. Thus, the metallicity of a galaxy or other object is an indication of stellar activity after the Big Bang.
In general, elements up to iron are made in large stars in the process of becoming supernovae. Iron-56 is particularly common, since it is the most stable nuclide and can easily be made from alpha particles. Elements heavier than iron are made in energy-absorbing processes in large stars, and their abundance in the universe generally decreases with increasing atomic number.

Solar system

The following graph shows abundance of elements in the Solar System. The table shows the twelve most common elements in our galaxy, as measured in parts per million, by mass.
Nearby galaxies that have evolved along similar lines have a corresponding enrichment of elements heavier than hydrogen and helium. The more distant galaxies are being viewed as they appeared in the past, so their abundances of elements appear closer to the primordial mixture. Since physical laws and processes are uniform throughout the universe, however, it is expected that these galaxies will likewise have evolved similar abundances of elements.
The abundance of elements is in keeping with their origin from the Big Bang and nucleosynthesis in a number of progenitor supernova stars. Very abundant hydrogen and helium are products of the Big Bang, while the next three elements are rare since they had little time to form in the Big Bang and are not made in stars.
Beginning with carbon, elements have been produced in stars by buildup from alpha particles, resulting in an alternatingly larger abundance of elements with even atomic numbers. The effect of odd-numbered chemical elements generally being more rare in the universe was empirically noticed in 1914, and is known as the Oddo-Harkins rule.

Relation to nuclear binding energy

Loose correlations have been observed between estimated elemental abundances in the universe and the nuclear binding energy curve. Roughly speaking, the relative stability of various atomic nuclides has exerted a strong influence on the relative abundance of elements formed in the Big Bang, and during the development of the universe thereafter.
See the article about nucleosynthesis for an explanation of how certain nuclear fusion processes in stars create the elements heavier than hydrogen and helium.
A further observed peculiarity is the jagged alternation between relative abundance and scarcity of adjacent atomic numbers in the elemental abundance curve, and a similar pattern of energy levels in the nuclear binding energy curve. This alternation is caused by the higher relative binding energy of even atomic numbers compared with odd atomic numbers and is explained by the Pauli Exclusion Principle.
The semi-empirical mass formula, also called Weizsäcker's formula or the Bethe-Weizsäcker mass formula, gives a theoretical explanation of the overall shape of the curve of nuclear binding energy.

Earth

The Earth formed from the same cloud of matter that formed the Sun, but the planets acquired different compositions during the formation and evolution of the solar system. In turn, the natural history of the Earth caused parts of this planet to have differing concentrations of the elements.
The mass of the Earth is approximately 5.98 kg. In bulk, by mass, it is composed mostly of iron, oxygen, silicon, magnesium, sulfur, nickel, calcium, and aluminium ; with the remaining 1.2% consisting of trace amounts of other elements.
The bulk composition of the Earth by elemental-mass is roughly similar to the gross composition of the solar system, with the major differences being that Earth is missing a great deal of the volatile elements hydrogen, helium, neon, and nitrogen, as well as carbon which has been lost as volatile hydrocarbons. The remaining elemental composition is roughly typical of the "rocky" inner planets, which formed in the thermal zone where solar heat drove volatile compounds into space. The Earth retains oxygen as the second-largest component of its mass, mainly from this element being retained in silicate minerals which have a very high melting point and low vapor pressure.
Atomic NumberNameSymbolMass fraction Atomic fraction
8oxygenO297000482,000,000
12magnesiumMg154000164,000,000
14siliconSi161000150,000,000
26ironFe319000148,000,000
13aluminumAl1590015,300,000
20calciumCa1710011,100,000
28nickelNi182208,010,000
1hydrogenH2606,700,000
16sulfurS63505,150,000
24chromiumCr47002,300,000
11sodiumNa18002,000,000
6carbonC7301,600,000
15phosphorusP12101,020,000
25manganeseMn1700800,000
22titaniumTi810440,000
27cobaltCo880390,000
19potassiumK160110,000
17chlorineCl7656,000
23vanadiumV10553,600
7nitrogenN2546,000
29copperCu6025,000
30zincZn4016,000
9fluorineF1014,000
21scandiumSc116,300
3lithiumLi1.104,100
38strontiumSr133,900
32germaniumGe7.002,500
40zirconiumZr7.102,000
31galliumGa3.001,000
34seleniumSe2.70890
56bariumBa4.50850
39yttriumY2.90850
33arsenicAs1.70590
5boronB0.20480
42molybdenumMo1.70460
44rutheniumRu1.30330
78platinumPt1.90250
46palladiumPd1.00240
58ceriumCe1.13210
60neodymiumNd0.84150
4berylliumBe0.05140
41niobiumNb0.44120
76osmiumOs0.90120
77iridiumIr0.90120
37rubidiumRb0.40120
35bromineBr0.3097
57lanthanumLa0.4482
66dysprosiumDy0.4674
64gadoliniumGd0.3761
52telluriumTe0.3061
45rhodiumRh0.2461
50tinSn0.2555
62samariumSm0.2747
68erbiumEr0.3047
70ytterbiumYb0.3045
59praseodymiumPr0.1731
82leadPb0.2329
72hafniumHf0.1928
74tungstenW0.1724
79goldAu0.1621
48cadmiumCd0.0818
63europiumEu0.1017
67holmiumHo0.1016
47silverAg0.0512
65terbiumTb0.0711
51antimonySb0.0511
75rheniumRe0.0810
53iodineI0.0510
69thuliumTm0.057
55cesiumCs0.047
71lutetiumLu0.057
90thoriumTh0.066
73tantalumTa0.034
80mercuryHg0.023
92uraniumU0.022
49indiumIn0.012
81thalliumTl0.012
83bismuthBi0.011

Crust

The mass-abundance of the nine most abundant elements in the Earth's crust is approximately: oxygen 46%, silicon 28%, aluminum 8.3%, iron 5.6%, calcium 4.2%, sodium 2.5%, magnesium 2.4%, potassium 2.0%, and titanium 0.61%. Other elements occur at less than 0.15%. For a complete list, see abundance of elements in Earth's crust.
The graph at right illustrates the relative atomic-abundance of the chemical elements in Earth's upper continental crust—the part that is relatively accessible for measurements and estimation.
Many of the elements shown in the graph are classified into categories:
  1. rock-forming elements ;
  2. rare earth elements ;
  3. major industrial metals ;
  4. precious metals ;
  5. the nine rarest "metals" – the six platinum group elements plus Au, Re, and Te – in the yellow field. These are rare in the crust from being soluble in iron and thus concentrated in the Earth's core. Tellurium is the single most depleted element in the silicate Earth relative to cosmic abundance, because in addition to being concentrated as dense chalcogenides in the core it was severely depleted by preaccretional sorting in the nebula as volatile hydrogen telluride.
Note that there are two breaks where the unstable elements technetium and promethium would be. These elements are surrounded by stable elements, yet both have relatively short half lives. These are thus extremely rare, since any primordial initial fractions of these in pre-Solar System materials have long since decayed. These two elements are now only produced naturally through the spontaneous fission of very heavy radioactive elements, or by the interaction of certain other elements with cosmic rays. Both technetium and promethium have been identified spectroscopically in the atmospheres of stars, where they are produced by ongoing nucleosynthetic processes.
There are also breaks in the abundance graph where the six noble gases would be, since they are not chemically bound in the Earth's crust, and they are only generated by decay chains from radioactive elements in the crust, and are therefore extremely rare there.
The eight naturally occurring very rare, highly radioactive elements are not included, since any of these elements that were present at the formation of the Earth have decayed away eons ago, and their quantity today is negligible and is only produced from the radioactive decay of uranium and thorium.
Oxygen and silicon are notably the most common elements in the crust. On Earth and in rocky planets in general, silicon and oxygen are far more common than their cosmic abundance. The reason is that they combine with each other to form silicate minerals. In this way, they are the lightest of all of the two-percent "astronomical metals" to form a solid that is refractory to the Sun's heat, and thus cannot boil away into space. All elements lighter than oxygen have been removed from the crust in this way, as have the heavier chalcogens sulfur, selenium and tellurium.

Rare-earth elements

"Rare" earth elements is a historical misnomer. The persistence of the term reflects unfamiliarity rather than true rarity. The more abundant rare earth elements are similarly concentrated in the crust compared to commonplace industrial metals such as chromium, nickel, copper, zinc, molybdenum, tin, tungsten, or lead. The two least abundant rare earth elements are nearly 200 times more common than gold. However, in contrast to the ordinary base and precious metals, rare earth elements have very little tendency to become concentrated in exploitable ore deposits. Consequently, most of the world's supply of rare earth elements comes from only a handful of sources. Furthermore, the rare earth metals are all quite chemically similar to each other, and they are thus quite difficult to separate into quantities of the pure elements.
Differences in abundances of individual rare earth elements in the upper continental crust of the Earth represent the superposition of two effects, one nuclear and one geochemical. First, the rare earth elements with even atomic numbers have greater cosmic and terrestrial abundances than the adjacent rare earth elements with odd atomic numbers. Second, the lighter rare earth elements are more incompatible and therefore more strongly concentrated in the continental crust than the heavier rare earth elements. In most rare earth ore deposits, the first four rare earth elements – lanthanum, cerium, praseodymium, and neodymium – constitute 80% to 99% of the total amount of rare earth metal that can be found in the ore.

Mantle

The mass-abundance of the eight most abundant elements in the Earth's mantle is approximately: oxygen 45%, magnesium 23%, silicon 22%, iron 5.8%, calcium 2.3%, aluminum 2.2%, sodium 0.3%, potassium 0.3%.

Core

Due to mass segregation, the core of the Earth is believed to be primarily composed of iron, with smaller amounts of nickel, sulfur, and less than 1% trace elements.

Ocean

The most abundant elements in the ocean by proportion of mass in percent are oxygen, hydrogen, chlorine, sodium, magnesium, sulfur, calcium, potassium, bromine, carbon, and boron .

Atmosphere

The order of elements by volume-fraction in the atmosphere is nitrogen, oxygen, argon, followed by carbon and hydrogen because water vapor and carbon dioxide, which represent most of these two elements in the air, are variable components. Sulfur, phosphorus, and all other elements are present in significantly lower proportions.
According to the abundance curve graph, argon, a significant if not major component of the atmosphere, does not appear in the crust at all. This is because the atmosphere has a far smaller mass than the crust, so argon remaining in the crust contributes little to mass-fraction there, while at the same time buildup of argon in the atmosphere has become large enough to be significant.

Urban soils

For a complete list of the abundance of elements in urban soils, see Abundances of the elements #Urban soils.

Human body

ElementProportion
Oxygen65
Carbon18
Hydrogen10
Nitrogen3
Calcium1.5
Phosphorus1.2
Potassium0.2
Sulfur0.2
Chlorine0.2
Sodium0.1
Magnesium0.05
Iron< 0.05
Cobalt< 0.05
Copper< 0.05
Zinc< 0.05
Iodine< 0.05
Selenium< 0.01

By mass, human cells consist of 65–90% water, and a significant portion of the remainder is composed of carbon-containing organic molecules. Oxygen therefore contributes a majority of a human body's mass, followed by carbon. Almost 99% of the mass of the human body is made up of six elements: hydrogen, carbon, nitrogen, oxygen, calcium, and phosphorus . The next 0.75% is made up of the next five elements: potassium, sulfur, chlorine, sodium, and magnesium. Only 17 elements are known for certain to be necessary to human life, with one additional element thought to be helpful for tooth enamel strength. A few more trace elements may play some role in the health of mammals. Boron and silicon are notably necessary for plants but have uncertain roles in animals. The elements aluminium and silicon, although very common in the earth's crust, are conspicuously rare in the human body.
Below is a periodic table highlighting nutritional elements.

Footnotes

Notations

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