The atomic radius of a chemical element is the distance from the center of the nucleus to the outermost shell of an electron. Since the boundary is not a well-defined physical entity, there are various non-equivalent definitions of atomic radius. Depending on the definition, the term may apply only to isolated atoms, or also to atoms in condensed matter, covalently bound in molecules, or in ionized and excited states; and its value may be obtained through experimental measurements, or computed from theoretical models. Under some definitions, the value of the radius may depend on the atom's state and context. [1]
Atomic radii vary in a predictable and explicable manner across the periodic table. For instance, the radii generally decrease rightward along each period (row) of the table, from the alkali metals to the noble gases; and increase down each group (column). The radius increases sharply between the noble gas at the end of each period and the alkali metal at the beginning of the next period. These trends of the atomic radii (and of various other chemical and physical properties of the elements) can be explained by the electron shell theory of the atom; they provided important evidence for the development and confirmation of quantum theory.
Note: All measurements given are in picometers (pm). For more recent data on covalent radii see Covalent radius. Just as atomic units are given in terms of the atomic mass unit (approximately the proton mass), the physically appropriate unit of length here is the Bohr radius, which is the radius of a hydrogen atom. The Bohr radius is consequently known as the "atomic unit of length". It is often denoted by a0 and is approximately 53 pm. Hence, the values of atomic radii given here in picometers can be converted to atomic units by dividing by 53, to the level of accuracy of the data given in this table.
atomic number | symbol | name | empirical † | Calculated | van der Waals | Covalent (single bond) | Covalent (triple bond) | Metallic |
---|---|---|---|---|---|---|---|---|
1 | H | hydrogen | 25 [2] | 53[ citation needed ] | 120 [3] or 110 [4] | 32 | ||
2 | He | helium | 120[ citation needed ] | 31 [5] | 140 [3] [4] | 46 | ||
3 | Li | lithium | 145 [2] | 167 [5] | 182 [3] or 181 [4] | 133 | 152 | |
4 | Be | beryllium | 105 [2] | 112 [5] | 153 [4] | 102 | 85 [6] | 112 |
5 | B | boron | 85 [2] | 87 [5] | 192 [4] | 85 | 73 [6] | |
6 | C | carbon | 70 [2] | 67 [5] | 170 [3] [4] | 75 | 60 [6] | |
7 | N | nitrogen | 65 [2] | 56 [5] | 155 [3] [4] | 71 | 54 [6] | |
8 | O | oxygen | 60 [2] | 48 [5] | 152 [3] [4] | 63 | 53 [6] | |
9 | F | fluorine | 50 [2] | 42 [5] | 147 [3] [4] | 64 | 53 [6] | |
10 | Ne | neon | 160[ citation needed ] [7] | 38 [5] | 154 [3] [4] | 67 | ||
11 | Na | sodium | 180 [2] | 190 [5] | 227 [3] [4] | 155 | 186 | |
12 | Mg | magnesium | 150 [2] | 145 [5] | 173 [3] [4] | 139 | 127 [6] | 160 |
13 | Al | aluminium | 125 [2] | 118 [5] | 184 [4] | 126 | 111 [6] | 143 |
14 | Si | silicon | 110 [2] | 111 [5] | 210 [3] [4] | 116 | 102 [6] | |
15 | P | phosphorus | 100 [2] | 98 [5] | 180 [3] [4] | 111 | 94 [6] | |
16 | S | sulfur | 100 [2] | 88 [5] | 180 [3] [4] | 103 | 95 [6] | |
17 | Cl | chlorine | 100 [2] | 79 [5] | 175 [3] [4] | 99 | 93 [6] | |
18 | Ar | argon | 71[ citation needed ] | 71 [5] | 188 [3] [4] | 96 | 96 [6] | |
19 | K | potassium | 220 [2] | 243 [5] | 275 [3] [4] | 196 | 227 | |
20 | Ca | calcium | 180 [2] | 194 [5] | 231 [4] | 171 | 133 [6] | 197 |
21 | Sc | scandium | 160 [2] | 184 [5] | 211[ citation needed ] | 148 | 114 [6] | 162 b |
22 | Ti | titanium | 140 [2] | 176 [5] | 136 | 108 [6] | 147 | |
23 | V | vanadium | 135 [2] | 171 [5] | 134 | 106 [6] | 134 b | |
24 | Cr | chromium | 140 [2] | 166 [5] | 122 | 103 [6] | 128 b | |
25 | Mn | manganese | 140 [2] | 161 [5] | 119 | 103 [6] | 127 b | |
26 | Fe | iron | 140 [2] | 156 [5] | 116 | 102 [6] | 126 b | |
27 | Co | cobalt | 135 [2] | 152 [5] | 111 | 96 [6] | 125 b | |
28 | Ni | nickel | 135 [2] | 149 [5] | 163 [3] | 110 | 101 [6] | 124 b |
29 | Cu | copper | 135 [2] | 145 [5] | 140 [3] | 112 | 120 [6] | 128 b |
30 | Zn | zinc | 135 [2] | 142 [5] | 139 [3] | 118 | 134 b | |
31 | Ga | gallium | 130 [2] | 136 [5] | 187 [3] [4] | 124 | 121 [6] | 135 c |
32 | Ge | germanium | 125 [2] | 125 [5] | 211 [4] | 121 | 114 [6] | |
33 | As | arsenic | 115 [2] | 114 [5] | 185 [3] [4] | 121 | 106 [6] | |
34 | Se | selenium | 115 [2] | 103 [5] | 190 [3] [4] | 116 | 107 [6] | |
35 | Br | bromine | 115 [2] | 94 [5] | 185 [3] or 183 [4] | 114 | 110 [6] | |
36 | Kr | krypton | 88 [5] | 202 [3] [4] | 117 | 108 [6] | ||
37 | Rb | rubidium | 235 [2] | 265 [5] | 303 [4] | 210 | 248 | |
38 | Sr | strontium | 200 [2] | 219 [5] | 249 [4] | 185 | 139 [6] | 215 |
39 | Y | yttrium | 180 [2] | 212 [5] | 163 | 124 [6] | 180 b | |
40 | Zr | zirconium | 155 [2] | 206 [5] | 154 | 121 [6] | 160 | |
41 | Nb | niobium | 145 [2] | 198 [5] | 147 | 116 [6] | 146 b | |
42 | Mo | molybdenum | 145 [2] | 190 [5] | 138 | 113 [6] | 139 b | |
43 | Tc | technetium | 135 [2] | 183 [5] | 128 | 110 [6] | 136 b | |
44 | Ru | ruthenium | 130 [2] | 178 [5] | 125 | 103 [6] | 134 b | |
45 | Rh | rhodium | 135 [2] | 173 [5] | 125 | 106 [6] | 134 b | |
46 | Pd | palladium | 140 [2] | 169 [5] | 163 [3] | 120 | 112 [6] | 137 b |
47 | Ag | silver | 160 [2] | 165 [5] | 172 [3] | 128 | 137 [6] | 144 b |
48 | Cd | cadmium | 155 [2] | 161 [5] | 158 [3] | 136 | 151 b | |
49 | In | indium | 155 [2] | 156 [5] | 193 [3] [4] | 142 | 146 [6] | 167 |
50 | Sn | tin | 145 [2] | 145 [5] | 217 [3] [4] | 140 | 132 [6] | |
51 | Sb | antimony | 145 [2] | 133 [5] | 206 [4] | 140 | 127 [6] | |
52 | Te | tellurium | 140 [2] | 123 [5] | 206 [3] [4] | 136 | 121 [6] | |
53 | I | iodine | 140 [2] | 115 [5] | 198 [3] [4] | 133 | 125 [6] | |
54 | Xe | xenon | 108 [5] | 216 [3] [4] | 131 | 122 [6] | ||
55 | Cs | caesium | 260 [2] | 298 [5] | 343 [4] | 232 | 265 | |
56 | Ba | barium | 215 [2] | 253 [5] | 268 [4] | 196 | 149 [6] | 222 |
57 | La | lanthanum | 195 [2] | 226[ citation needed ] | 180 | 139 [6] | 187 b | |
58 | Ce | cerium | 185 [2] | 210[ citation needed ] | 163 | 131 [6] | 181.8 c | |
59 | Pr | praseodymium | 185 [2] | 247 [5] | 176 | 128 [6] | 182.4 c | |
60 | Nd | neodymium | 185 [2] | 206 [5] | 174 | 181.4 c | ||
61 | Pm | promethium | 185 [2] | 205 [5] | 173 | 183.4 c | ||
62 | Sm | samarium | 185 [2] | 238 [5] | 172 | 180.4 c | ||
63 | Eu | europium | 185 [2] | 231 [5] | 168 | 180.4 c | ||
64 | Gd | gadolinium | 180 [2] | 233 [5] | 169 | 132 [6] | 180.4 c | |
65 | Tb | terbium | 175 [2] | 225 [5] | 168 | 177.3 c | ||
66 | Dy | dysprosium | 175 [2] | 228 [5] | 167 | 178.1 c | ||
67 | Ho | holmium | 175 [2] | 226 [5] | 166 | 176.2 c | ||
68 | Er | erbium | 175 [2] | 226 [5] | 165 | 176.1 c | ||
69 | Tm | thulium | 175 [2] | 222 [5] | 164 | 175.9 c | ||
70 | Yb | ytterbium | 175 [2] | 222 [5] | 170 | 176 c | ||
71 | Lu | lutetium | 175 [2] | 217 [5] | 162 | 131 [6] | 173.8 c | |
72 | Hf | hafnium | 155 [2] | 208 [5] | 152 | 122 [6] | 159 | |
73 | Ta | tantalum | 145 [2] | 200 [5] | 146 | 119 [6] | 146 b | |
74 | W | tungsten | 135 [2] | 193 [5] | 137 | 115 [6] | 139 b | |
75 | Re | rhenium | 135 [2] | 188 [5] | 131 | 110 [6] | 137 b | |
76 | Os | osmium | 130 [2] | 185 [5] | 129 | 109 [6] | 135 b | |
77 | Ir | iridium | 135 [2] | 180 [5] | 122 | 107 [6] | 135.5 b | |
78 | Pt | platinum | 135 [2] | 177 [5] | 175 [3] | 123 | 110 [6] | 138.5 b |
79 | Au | gold | 135 [2] | 174 [5] | 166 [3] | 124 | 123 [6] | 144 b |
80 | Hg | mercury | 150 [2] | 171 [5] | 155 [3] | 133 | 151 b | |
81 | Tl | thallium | 190 [2] | 156 [5] | 196 [3] [4] | 144 | 150 [6] | 170 |
82 | Pb | lead | 180[ citation needed ] | 154 [5] | 202 [3] [4] | 144 | 137 [6] | |
83 | Bi | bismuth | 160 [2] | 143 [5] | 207 [4] | 151 | 135 [6] | |
84 | Po | polonium | 190 [2] | 135 [5] | 197 [4] | 145 | 129 [6] | |
85 | At | astatine | 127 [5] | 202 [4] | 147 | 138 [6] | ||
86 | Rn | radon | 120 [5] | 220 [4] | 142 | 133 [6] | ||
87 | Fr | francium | 348 [4] | |||||
88 | Ra | radium | 215 [2] | 283 [4] | 201 | 159 [6] | ||
89 | Ac | actinium | 195 [2] | 186 | 140 [6] | |||
90 | Th | thorium | 180 [2] | 175 | 136 [6] | 179 b | ||
91 | Pa | protactinium | 180 [2] | 169 | 129 [6] | 163 d | ||
92 | U | uranium | 175 [2] | 186 [3] | 170 | 118 [6] | 156 e | |
93 | Np | neptunium | 175 [2] | 171 | 116 [6] | 155 e | ||
94 | Pu | plutonium | 175 [2] | 172 | 159 e | |||
95 | Am | americium | 175 [2] | 166 | 173 b | |||
96 | Cm | curium | 176[ citation needed ] | 166 | 174 b | |||
97 | Bk | berkelium | 170 b | |||||
98 | Cf | californium | 186±2 b | |||||
99 | Es | einsteinium | 186±2 b | |||||
100 | Fm | fermium | ||||||
101 | Md | mendelevium | ||||||
102 | No | nobelium | ||||||
103 | Lr | lawrencium | ||||||
104 | Rf | rutherfordium | 131 [6] | |||||
105 | Db | dubnium | 126 [6] | |||||
106 | Sg | seaborgium | 121 [6] | |||||
107 | Bh | bohrium | 119 [6] | |||||
108 | Hs | hassium | 118 [6] | |||||
109 | Mt | meitnerium | 113 [6] | |||||
110 | Ds | darmstadtium | 112 [6] | |||||
111 | Rg | roentgenium | 118 [6] | |||||
112 | Cn | copernicium | 130 [6] | |||||
113 | Nh | nihonium | ||||||
114 | Fl | flerovium | ||||||
115 | Mc | moscovium | ||||||
116 | Lv | livermorium | ||||||
117 | Ts | tennessine | ||||||
118 | Og | oganesson |
The alkali metals consist of the chemical elements lithium (Li), sodium (Na), potassium (K), rubidium (Rb), caesium (Cs), and francium (Fr). Together with hydrogen they constitute group 1, which lies in the s-block of the periodic table. All alkali metals have their outermost electron in an s-orbital: this shared electron configuration results in their having very similar characteristic properties. Indeed, the alkali metals provide the best example of group trends in properties in the periodic table, with elements exhibiting well-characterised homologous behaviour. This family of elements is also known as the lithium family after its leading element.
In atomic physics, the Bohr model or Rutherford–Bohr model was the first successful model of the atom. Developed from 1911 to 1918 by Niels Bohr and building on Ernest Rutherford's nuclear model, it supplanted the plum pudding model of J J Thomson only to be replaced by the quantum atomic model in the 1920s. It consists of a small, dense nucleus surrounded by orbiting electrons. It is analogous to the structure of the Solar System, but with attraction provided by electrostatic force rather than gravity, and with the electron energies quantized.
A chemical bond is the association of atoms or ions to form molecules, crystals, and other structures. The bond may result from the electrostatic force between oppositely charged ions as in ionic bonds or through the sharing of electrons as in covalent bonds, or some combination of these effects. Chemical bonds are described as having different strengths: there are "strong bonds" or "primary bonds" such as covalent, ionic and metallic bonds, and "weak bonds" or "secondary bonds" such as dipole–dipole interactions, the London dispersion force, and hydrogen bonding.
The following outline is provided as an overview of and topical guide to chemistry:
Electronegativity, symbolized as χ, is the tendency for an atom of a given chemical element to attract shared electrons when forming a chemical bond. An atom's electronegativity is affected by both its atomic number and the distance at which its valence electrons reside from the charged nucleus. The higher the associated electronegativity, the more an atom or a substituent group attracts electrons. Electronegativity serves as a simple way to quantitatively estimate the bond energy, and the sign and magnitude of a bond's chemical polarity, which characterizes a bond along the continuous scale from covalent to ionic bonding. The loosely defined term electropositivity is the opposite of electronegativity: it characterizes an element's tendency to donate valence electrons.
A molecule is a group of two or more atoms held together by attractive forces known as chemical bonds; depending on context, the term may or may not include ions which satisfy this criterion. In quantum physics, organic chemistry, and biochemistry, the distinction from ions is dropped and molecule is often used when referring to polyatomic ions.
The periodic table, also known as the periodic table of the elements, is an ordered arrangement of the chemical elements into rows ("periods") and columns ("groups"). It is an icon of chemistry and is widely used in physics and other sciences. It is a depiction of the periodic law, which states that when the elements are arranged in order of their atomic numbers an approximate recurrence of their properties is evident. The table is divided into four roughly rectangular areas called blocks. Elements in the same group tend to show similar chemical characteristics.
The covalent radius, rcov, is a measure of the size of an atom that forms part of one covalent bond. It is usually measured either in picometres (pm) or angstroms (Å), with 1 Å = 100 pm.
The atomic radius of a chemical element is a measure of the size of its atom, usually the mean or typical distance from the center of the nucleus to the outermost isolated electron. Since the boundary is not a well-defined physical entity, there are various non-equivalent definitions of atomic radius. Four widely used definitions of atomic radius are: Van der Waals radius, ionic radius, metallic radius and covalent radius. Typically, because of the difficulty to isolate atoms in order to measure their radii separately, atomic radius is measured in a chemically bonded state; however theoretical calculations are simpler when considering atoms in isolation. The dependencies on environment, probe, and state lead to a multiplicity of definitions.
In physics and chemistry, ionization energy (IE) is the minimum energy required to remove the most loosely bound electron of an isolated gaseous atom, positive ion, or molecule. The first ionization energy is quantitatively expressed as
The van der Waals radius, rw, of an atom is the radius of an imaginary hard sphere representing the distance of closest approach for another atom. It is named after Johannes Diderik van der Waals, winner of the 1910 Nobel Prize in Physics, as he was the first to recognise that atoms were not simply points and to demonstrate the physical consequences of their size through the van der Waals equation of state.
The atomic units are a system of natural units of measurement that is especially convenient for calculations in atomic physics and related scientific fields, such as computational chemistry and atomic spectroscopy. They were originally suggested and named by the physicist Douglas Hartree. Atomic units are often abbreviated "a.u." or "au", not to be confused with similar abbreviations used for astronomical units, arbitrary units, and absorbance units in other contexts.
Relativistic quantum chemistry combines relativistic mechanics with quantum chemistry to calculate elemental properties and structure, especially for the heavier elements of the periodic table. A prominent example is an explanation for the color of gold: due to relativistic effects, it is not silvery like most other metals.
In chemistry, bond order is a formal measure of the multiplicity of a covalent bond between two atoms. As introduced by Linus Pauling, bond order is defined as the difference between the numbers of electron pairs in bonding and antibonding molecular orbitals.
In chemistry, bond energy (BE) is one measure of the strength of a chemical bond. It is sometimes called the mean bond, bond enthalpy, average bond enthalpy, or bond strength. IUPAC defines bond energy as the average value of the gas-phase bond-dissociation energy for all bonds of the same type within the same chemical species.
Ionic radius, rion, is the radius of a monatomic ion in an ionic crystal structure. Although neither atoms nor ions have sharp boundaries, they are treated as if they were hard spheres with radii such that the sum of ionic radii of the cation and anion gives the distance between the ions in a crystal lattice. Ionic radii are typically given in units of either picometers (pm) or angstroms (Å), with 1 Å = 100 pm. Typical values range from 31 pm (0.3 Å) to over 200 pm (2 Å).
The lanthanide contraction is the greater-than-expected decrease in atomic radii and ionic radii of the elements in the lanthanide series, from left to right. It is caused by the poor shielding effect of nuclear charge by the 4f electrons along with the expected periodic trend of increasing electronegativity and nuclear charge on moving from left to right. About 10% of the lanthanide contraction has been attributed to relativistic effects.
Core electrons are the electrons in an atom that are not valence electrons and do not participate in chemical bonding. The nucleus and the core electrons of an atom form the atomic core. Core electrons are tightly bound to the nucleus. Therefore, unlike valence electrons, core electrons play a secondary role in chemical bonding and reactions by screening the positive charge of the atomic nucleus from the valence electrons.
The covalent radius of fluorine is a measure of the size of a fluorine atom; it is approximated at about 60 picometres.
Data is as quoted at http://www.webelements.com/ from these sources:
Greenwood, Norman N.; Earnshaw, Alan (1997). Chemistry of the Elements (2nd ed.). Butterworth-Heinemann. ISBN 978-0-08-037941-8.