Knowledge (XXG)

Covalent bond

Source 📝

897:. This is done by combining the valence bond covalent function with the functions describing all possible ionic structures or by combining the molecular orbital ground state function with the functions describing all possible excited states using unoccupied orbitals. It can then be seen that the simple molecular orbital approach overestimates the weight of the ionic structures while the simple valence bond approach neglects them. This can also be described as saying that the simple molecular orbital approach neglects 445: 3852: 652: 38: 575: 3846: 563: 1466: 803:), which are often described as electron deficient because there are not enough valence electrons to form localized (2-centre 2-electron) bonds joining all the atoms. However the more modern description using 3c–2e bonds does provide enough bonding orbitals to connect all the atoms, so that the molecules can instead be classified as electron-precise. 183: 2239: 522:. It is considered a "half bond" because it consists of only one shared electron (rather than two); in molecular orbital terms, the third electron is in an anti-bonding orbital which cancels out half of the bond formed by the other two electrons. Another example of a molecule containing a 3-electron bond, in addition to two 2-electron bonds, is 3858: 257:), four from the carbon itself and four from the hydrogens bonded to it. Each hydrogen has a valence of one and is surrounded by two electrons (a duet rule) – its own one electron plus one from the carbon. The numbers of electrons correspond to full shells in the quantum theory of the atom; the outer shell of a carbon atom is the 1182: 602:
is insufficient to explain the electron configuration in a molecule and its resulting experimentally-determined properties, hence a superposition of structures is needed. The same two atoms in such molecules can be bonded differently in different Lewis structures (a single bond in one, a double bond
885:
At the qualitative level, both theories contain incorrect predictions. Simple (Heitler–London) valence bond theory correctly predicts the dissociation of homonuclear diatomic molecules into separate atoms, while simple (Hartree–Fock) molecular orbital theory incorrectly predicts dissociation into a
908:
usually start from (but ultimately go far beyond) a molecular orbital rather than a valence bond approach, not because of any intrinsic superiority in the former but rather because the MO approach is more readily adapted to numerical computations. Molecular orbitals are orthogonal, which
2054: 1861:
is chosen in such a way that it encompasses all of the relevant bands participating in the bond. If the range to select is unclear, it can be identified in practice by examining the molecular orbitals that describe the electron density along with the considered bond.
1806: 865:
The two approaches are regarded as complementary, and each provides its own insights into the problem of chemical bonding. As valence bond theory builds the molecular wavefunction out of localized bonds, it is more suited for the calculation of
358:
structures and giant covalent structures. Individual molecules have strong bonds that hold the atoms together, but generally, there are negligible forces of attraction between molecules. Such covalent substances are usually gases, for example,
170:. Thus, covalent bonding does not necessarily require that the two atoms be of the same elements, only that they be of comparable electronegativity. Covalent bonding that entails the sharing of electrons over more than two atoms is said to be 252:
Lewis proposed that an atom forms enough covalent bonds to form a full (or closed) outer electron shell. In the diagram of methane shown here, the carbon atom has a valence of four and is, therefore, surrounded by eight electrons (the
1461:{\displaystyle cm^{\mathrm {A} }(n,l,m_{l},m_{s})={\frac {\int \limits _{E_{0}}\limits ^{E_{1}}Eg_{|n,l,m_{l},m_{s}\rangle }^{\mathrm {A} }(E)dE}{\int \limits _{E_{0}}\limits ^{E_{1}}g_{|n,l,m_{l},m_{s}\rangle }^{\mathrm {A} }(E)dE}}} 2436: 1940: 2329: 241:, in which valence electrons (those in the outer shell) are represented as dots around the atomic symbols. Pairs of electrons located between atoms represent covalent bonds. Multiple pairs represent multiple bonds, such as 92:, the sharing of electrons allows each atom to attain the equivalent of a full valence shell, corresponding to a stable electronic configuration. In organic chemistry, covalent bonding is much more common than 2943:
Heitler, W.; London, F. (1927). "Wechselwirkung neutraler Atome und homöopolare Bindung nach der Quantenmechanik" [Interaction of neutral atoms and homeopolar bonds according to quantum mechanics].
2234:{\displaystyle C_{n_{\mathrm {A} }l_{\mathrm {A} },n_{\mathrm {B} }l_{\mathrm {B} }}=-\left|cm^{\mathrm {A} }(n_{\mathrm {A} },l_{\mathrm {A} })-cm^{\mathrm {B} }(n_{\mathrm {B} },l_{\mathrm {B} })\right|} 1552: 3344:
Dronskowski, Richard; Bloechl, Peter E. (2002-05-01). "Crystal orbital Hamilton populations (COHP): energy-resolved visualization of chemical bonding in solids based on density-functional calculations".
330:
of the bond. Two atoms with equal electronegativity will make nonpolar covalent bonds such as H–H. An unequal relationship creates a polar covalent bond such as with H−Cl. However polarity also requires
2046: 1994: 2658: 1653: 917:
In COOP, COHP and BCOOP, evaluation of bond covalency is dependent on the basis set. To overcome this issue, an alternative formulation of the bond covalency can be provided in this way.
1052: 1612: 2480: 987: 2523: 2244:
where the contributions of the magnetic and spin quantum numbers are summed. According to this definition, the relative position of the A levels with respect to the B levels is
893:
Although the wavefunctions generated by both theories at the qualitative level do not agree and do not match the stabilization energy by experiment, they can be corrected by
4101: 3945: 479:. One-electron bonds often have about half the bond energy of a 2-electron bond, and are therefore called "half bonds". However, there are exceptions: in the case of 1172: 1139: 810:
atoms to each other in a banana shape, with a proton (the nucleus of a hydrogen atom) in the middle of the bond, sharing electrons with both boron atoms. In certain
1643: 723:, the electronegativity differences between different parts of the ring may dominate the chemical behavior of aromatic ring bonds, which otherwise are equivalent. 1106: 1080: 2555: 2354: 1857: 2597:
is exchanged. Therefore, covalent binding by quark interchange is expected to be the dominating mechanism of nuclear binding at small distance when the bound
2363: 4463: 4407: 3372:
Grechnev, Alexei; Ahuja, Rajeev; Eriksson, Olle (2003-01-01). "Balanced crystal orbital overlap population—a tool for analysing chemical bonds in solids".
1870: 2250: 850:
are filled with electrons first to produce a fully bonded valence configuration, followed by performing a linear combination of contributing structures (
3067:
Harcourt, Richard D., ed. (2015). "Chapter 2: Pauling "3-Electron Bonds", 4-Electron 3-Centre Bonding, and the Need for an "Increased-Valence" Theory".
4063: 3990: 3671: 208: 549:
Molecules with odd-electron bonds are usually highly reactive. These types of bond are only stable between atoms with similar electronegativities.
4443: 3635: 615:
and each oxygen is a double bond in one structure and a single bond in the other two, so that the average bond order for each N–O interaction is
3317:
Hughbanks, Timothy; Hoffmann, Roald (2002-05-01). "Chains of trans-edge-sharing molybdenum octahedra: metal-metal bonding in extended systems".
3199:
Cammarata, Antonio; Rondinelli, James M. (21 September 2014). "Covalent dependence of octahedral rotations in orthorhombic perovskite oxides".
284:) in 1927. Their work was based on the valence bond model, which assumes that a chemical bond is formed when there is good overlap between the 4339: 4094: 3301: 3256: 2991: 2927: 2897: 855: 2567:
An analogous effect to covalent binding is believed to occur in some nuclear systems, with the difference that the shared fermions are
874:. As molecular orbital theory builds the molecular wavefunction out of delocalized orbitals, it is more suited for the calculation of 384:. In molecular structures, there are weak forces of attraction. Such covalent substances are low-boiling-temperature liquids (such as 2484:
the higher the overlap of the selected atomic bands, and thus the electron density described by those orbitals gives a more covalent
4132: 3644: 3280: 3076: 3051: 3026: 2760: 2731: 2702: 1474: 890:
of aromaticity, while simple valence bond theory incorrectly predicts that cyclobutadiene has larger resonance energy than benzene.
826:
After the development of quantum mechanics, two basic theories were proposed to provide a quantum description of chemical bonding:
3925: 396:). Macromolecular structures have large numbers of atoms linked by covalent bonds in chains, including synthetic polymers such as 4087: 3910: 1999: 1947: 4400: 3734: 750: 124: 3761: 3722: 3712: 3127: 784: 120: 909:
significantly increases the feasibility and speed of computer calculations compared to nonorthogonal valence bond orbitals.
4370: 3717: 815: 212:
article entitled "The Arrangement of Electrons in Atoms and Molecules". Langmuir wrote that "we shall denote by the term
3664: 2627: 1801:{\displaystyle g(E)=\sum _{\mathrm {A} }\sum _{n,l}\sum _{m_{l},m_{s}}{g_{|n,l,m_{l},m_{s}\rangle }^{\mathrm {A} }(E)}} 249:. An alternative form of representation, not shown here, has bond-forming electron pairs represented as solid lines. 4393: 834:. A more recent quantum description is given in terms of atomic contributions to the electronic density of states. 428:). These substances have high melting and boiling points, are frequently brittle, and tend to have high electrical 261: = 2 shell, which can hold eight electrons, whereas the outer (and only) shell of a hydrogen atom is the 3985: 3980: 4499: 4478: 4360: 4344: 3970: 3960: 3935: 3905: 894: 272:
is needed to understand the nature of these bonds and predict the structures and properties of simple molecules.
31: 4319: 3751: 2621: 994: 831: 758: 701: 413: 1557: 436:, and the ability to form three or four electron pair bonds, often form such large macromolecular structures. 4012: 3915: 3887: 3657: 2582: 879: 3525:
Bashkanova, M.; Brodsky, S. J.; Clement, H. (2013). "Novel Six-Quark Hidden-Color Dibaryon States in QCD".
745:
have higher co-ordination numbers than would be possible due to strictly covalent bonding according to the
299:(except for s orbitals) have specific directional properties leading to different types of covalent bonds. 843: 463:
species, which have an odd number of electrons. The simplest example of a 1-electron bond is found in the
303:
are the strongest covalent bonds and are due to head-on overlapping of orbitals on two different atoms. A
223:, who in 1916 described the sharing of electron pairs between atoms (and in 1926 he also coined the term " 2447: 928: 4279: 4274: 4056: 4017: 2673: 2643: 2493: 851: 847: 762: 593: 500: 4051: 3632: 268:
While the idea of shared electron pairs provides an effective qualitative picture of covalent bonding,
3069:
Bonding in Electron-Rich Molecules: Qualitative Valence-Bond Approach via Increased-Valence Structures
2693:
Whitten, Kenneth W.; Gailey, Kenneth D.; Davis, Raymond E. (1992). "7-3 Formation of covalent bonds".
4245: 3975: 3866: 3729: 3688: 3544: 3491: 3436: 3381: 3208: 2953: 898: 732: 351: 171: 3596: 530:
can also be regarded as having two 3-electron bonds and one 2-electron bond, which accounts for its
4365: 4259: 3877: 3741: 3707: 3611: 2668: 827: 778: 766: 742: 705: 460: 166:
atoms share the two electrons via covalent bonding. Covalency is greatest between atoms of similar
144: 140: 112: 4041: 887: 673: 3796: 3560: 3534: 3460: 3405: 2969: 2861: 2590: 886:
mixture of atoms and ions. On the other hand, simple molecular orbital theory correctly predicts
871: 281: 3479: 3424: 2788: 444: 350:
There are several types of structures for covalent substances, including individual molecules,
4458: 4417: 4334: 4127: 4027: 3816: 3776: 3766: 3507: 3452: 3397: 3297: 3276: 3252: 3224: 3181: 3123: 3104: 3072: 3047: 3022: 3018: 2987: 2923: 2893: 2756: 2727: 2698: 2611: 905: 875: 859: 811: 669: 464: 433: 327: 323: 269: 167: 4453: 4448: 4438: 4068: 3851: 3808: 3781: 3552: 3499: 3444: 3389: 3354: 3326: 3216: 3173: 3013:
Stranks, D. R.; Heffernan, M. L.; Lee Dow, K. C.; McTigue, P. T.; Withers, G. R. A. (1970).
2961: 2853: 2822: 2663: 2572: 1147: 1114: 738: 535: 220: 108: 806:
Each such bond (2 per molecule in diborane) contains a pair of electrons which connect the
4473: 4284: 3920: 3791: 3639: 2775: 2633: 1619: 651: 599: 539: 448: 296: 285: 280:
are credited with the first successful quantum mechanical explanation of a chemical bond (
229: 203: 191: 4046: 3581: 3548: 3495: 3440: 3385: 3212: 2957: 2585:
indicates that quark interchange of either u or d quarks is the dominant process of the
1088: 1062: 416:(or giant covalent structures) contain large numbers of atoms linked in sheets (such as 4227: 4211: 4206: 4122: 3955: 3756: 2749: 2720: 2638: 2540: 2339: 1055: 921: 788: 371: 364: 355: 273: 84:. The stable balance of attractive and repulsive forces between atoms, when they share 37: 3393: 2431:{\displaystyle C_{n_{\mathrm {A} }l_{\mathrm {A} },n_{\mathrm {B} }l_{\mathrm {B} }}.} 1816: 4493: 4240: 4235: 4216: 4110: 4004: 3964: 3897: 3826: 3680: 3503: 3464: 3409: 3097: 2973: 2648: 2586: 1935:{\displaystyle C_{n_{\mathrm {A} }l_{\mathrm {A} },n_{\mathrm {B} }l_{\mathrm {B} }}} 787:("3c–2e") three atoms share two electrons in bonding. This type of bonding occurs in 531: 93: 69: 61: 46: 3564: 2865: 2334:
where, for simplicity, we may omit the dependence from the principal quantum number
2324:{\displaystyle C_{\mathrm {A,B} }=-\left|cm^{\mathrm {A} }-cm^{\mathrm {B} }\right|} 753:("3c–4e") model which interprets the molecular wavefunction in terms of non-bonding 700: + 2 = 6). These occupy three delocalized π molecular orbitals ( 186:
Early concepts in covalent bonding arose from this kind of image of the molecule of
4468: 3950: 3556: 716: 574: 543: 523: 507: 397: 277: 3448: 2981: 4428: 4385: 4201: 4196: 4191: 4036: 3786: 867: 712:
exhibiting a greater stabilization than the hypothetical 1,3,5-cyclohexatriene.
663: 429: 316: 312: 304: 246: 242: 3845: 704:) or form conjugate π bonds in two resonance structures that linearly combine ( 611:
ion is one such example with three equivalent structures. The bond between the
216:
the number of pairs of electrons that a given atom shares with its neighbors."
4183: 4167: 4157: 2653: 2616: 2579: 1811:
where the outer sum runs over all atoms A of the unit cell. The energy window
746: 604: 452: 300: 254: 100: 17: 3401: 4305: 3771: 3746: 854:) if there are several of them. In contrast, for molecular orbital theory a 754: 480: 335: 116: 65: 3228: 3185: 4079: 562: 4172: 792: 612: 417: 332: 163: 89: 85: 50: 3358: 3330: 3143:
Hofmann, K.; Prosenc, M. H.; Albert, B. R. (2007). "A new 4c–2e bond in
2857: 2826: 219:
The idea of covalent bonding can be traced several years before 1919 to
4162: 2965: 2598: 720: 709: 692:, the prototypical aromatic compound, there are 6 π bonding electrons ( 689: 677: 608: 421: 405: 385: 378: 311:
are weaker and are due to lateral overlap between p (or d) orbitals. A
308: 187: 139:
etc.; thus a "co-valent bond", in essence, means that the atoms share "
104: 3511: 3456: 3220: 913:
Covalency from atomic contribution to the electronic density of states
3177: 2575: 2568: 425: 409: 389: 339: 224: 99:
Covalent bonding also includes many kinds of interactions, including
2841: 2810: 182: 3857: 506:
The simplest example of three-electron bonding can be found in the
3539: 2594: 807: 443: 401: 3649: 2722:
Advanced Organic Chemistry: Reactions, Mechanisms, and Structure
315:
between two given atoms consists of one σ and one π bond, and a
73: 4389: 4083: 3653: 3614:. Department of Physics and Astronomy, Georgia State University 1547:{\displaystyle g_{|n,l,m_{l},m_{s}\rangle }^{\mathrm {A} }(E)} 360: 227:" for the smallest unit of radiant energy). He introduced the 603:
in another, or even none at all), resulting in a non-integer
137:
jointly, associated in action, partnered to a lesser degree,
688:
is an integer), it attains extra stability and symmetry. In
2697:(4th ed.). Saunders College Publishing. p. 264. 2041:{\displaystyle |n_{\mathrm {B} },l_{\mathrm {B} }\rangle } 1989:{\displaystyle |n_{\mathrm {A} },l_{\mathrm {A} }\rangle } 2535:
bond, which is specified in the same units of the energy
901:
while the simple valence bond approach overestimates it.
858:
is performed first, followed by filling of the resulting
2624:, also known as a dipolar bond or a dative covalent bond 2589:
at short distance. In particular, it dominates over the
1614:
of the atom A to the total electronic density of states
2811:"The Arrangement of Electrons in Atoms and Molecules" 2543: 2496: 2450: 2366: 2342: 2253: 2057: 2002: 1950: 1873: 1819: 1656: 1622: 1560: 1477: 1185: 1150: 1117: 1091: 1065: 997: 931: 846:
of the molecule. For valence bond theory, the atomic
1996:
levels of atom A with respect to the mass center of
842:
The two theories represent two ways to build up the
4353: 4327: 4318: 4293: 4267: 4258: 4225: 4181: 4150: 4143: 4026: 4003: 3934: 3896: 3876: 3865: 3825: 3807: 3698: 3687: 483:, the bond is actually stronger for the 1-electron 342:may cancel out, resulting in a non-polar molecule. 3096: 2748: 2719: 2549: 2517: 2474: 2430: 2348: 2323: 2233: 2040: 1988: 1934: 1851: 1800: 1637: 1606: 1546: 1460: 1166: 1133: 1100: 1074: 1046: 981: 459:Bonds with one or three electrons can be found in 3645:Structure and Bonding in Chemistry—Covalent Bonds 3122:. Cambridge University Press. pp. 275–306. 388:), and low-melting-temperature solids (such as 265: = 1 shell, which can hold only two. 202:in regard to bonding was first used in 1919 by 30:"Covalent" redirects here. For other uses, see 3599:. Department of Chemistry University of Oxford 499:. This exception can be explained in terms of 4401: 4095: 3665: 3251:. Oxford University Press. pp. 147–148. 2747:Gary L. Miessler; Donald Arthur Tarr (2004). 194:by indicating electrons shared between atoms. 8: 3480:"Using Nuclei to Probe Hadronization in QCD" 2983:Quantum Chemistry: Classic Scientific Papers 2442:In this formalism, the greater the value of 2035: 1983: 1776: 1601: 1523: 1428: 1325: 1038: 326:of the connected atoms which determines the 3021:: Melbourne University Press. p. 184. 672:, when a molecule with a planar ring obeys 4408: 4394: 4386: 4324: 4264: 4147: 4102: 4088: 4080: 3873: 3695: 3672: 3658: 3650: 3425:"Novel Features of Nuclear Chromodynamics" 3271:James D. Ingle Jr. and Stanley R. Crouch, 3090: 3088: 1554:is the contribution of the atomic orbital 27:Chemical bond by sharing of electron pairs 3538: 3242: 3240: 3238: 2542: 2502: 2501: 2495: 2456: 2455: 2449: 2416: 2415: 2404: 2403: 2389: 2388: 2377: 2376: 2371: 2365: 2341: 2309: 2308: 2291: 2290: 2259: 2258: 2252: 2216: 2215: 2201: 2200: 2186: 2185: 2165: 2164: 2150: 2149: 2135: 2134: 2107: 2106: 2095: 2094: 2080: 2079: 2068: 2067: 2062: 2056: 2028: 2027: 2013: 2012: 2003: 2001: 1976: 1975: 1961: 1960: 1951: 1949: 1923: 1922: 1911: 1910: 1896: 1895: 1884: 1883: 1878: 1872: 1840: 1827: 1818: 1781: 1780: 1770: 1757: 1736: 1735: 1730: 1722: 1709: 1704: 1688: 1677: 1676: 1655: 1621: 1595: 1582: 1561: 1559: 1528: 1527: 1517: 1504: 1483: 1482: 1476: 1433: 1432: 1422: 1409: 1388: 1387: 1375: 1370: 1363: 1358: 1330: 1329: 1319: 1306: 1285: 1284: 1269: 1264: 1257: 1252: 1245: 1233: 1220: 1194: 1193: 1184: 1155: 1149: 1122: 1116: 1090: 1064: 1047:{\displaystyle |n,l,m_{l},m_{s}\rangle ,} 1032: 1019: 998: 996: 970: 957: 930: 88:, is known as covalent bonding. For many 4064:Polyhedral skeletal electron pair theory 3319:Journal of the American Chemical Society 2846:Journal of the American Chemical Society 2815:Journal of the American Chemical Society 1607:{\displaystyle |n,l,m_{l},m_{s}\rangle } 420:), or 3-dimensional structures (such as 322:Covalent bonds are also affected by the 209:Journal of the American Chemical Society 181: 36: 3478:Brodsky, S. J.; Mueller, A. H. (1988). 2685: 555:Modified Lewis structures with 3e bonds 3633:Covalent Bonds and Molecular Structure 3582:"Covalent bonding – Single bonds" 598:There are situations whereby a single 3597:"Electron Sharing and Covalent Bonds" 3103:. Cornell University Press. pp.  2659:Linear combination of atomic orbitals 856:linear combination of atomic orbitals 190:. Covalent bonding is implied in the 7: 3374:Journal of Physics: Condensed Matter 2913: 2911: 2909: 2883: 2881: 2879: 2877: 2875: 455:of an individual 2e bond and 3e bond 76:. These electron pairs are known as 2563:Analogous effect in nuclear systems 2475:{\displaystyle C_{\mathrm {A,B} },} 982:{\displaystyle cm(n,l,m_{l},m_{s})} 755:highest occupied molecular orbitals 546:also contain three-electron bonds. 2518:{\displaystyle C_{\mathrm {A,B} }} 2509: 2503: 2463: 2457: 2417: 2405: 2390: 2378: 2310: 2292: 2266: 2260: 2217: 2202: 2187: 2166: 2151: 2136: 2108: 2096: 2081: 2069: 2029: 2014: 1977: 1962: 1924: 1912: 1897: 1885: 1782: 1678: 1529: 1434: 1331: 1195: 25: 4133:Introduction to quantum mechanics 3347:The Journal of Physical Chemistry 3294:Modern Physical Organic Chemistry 3118:Weinhold, F.; Landis, C. (2005). 3042:Weinhold, F.; Landis, C. (2005). 2986:. World Scientific. p. 140. 2601:have covalence quarks in common. 3856: 3850: 3844: 2840:Lewis, Gilbert N. (1916-04-01). 838:Comparison of VB and MO theories 650: 573: 561: 534:and its formal bond order of 2. 125:three-center four-electron bonds 3429:The European Physical Journal A 3099:The Nature of the Chemical Bond 2809:Langmuir, Irving (1919-06-01). 2791:. Hyperphysics.phy-astr.gsu.edu 2778:– Collegiate Dictionary (2000). 785:three-center two-electron bonds 751:three-center four-electron bond 121:three-center two-electron bonds 3557:10.1016/j.physletb.2013.10.059 3249:Quanta: A Handbook of Concepts 3046:. Cambridge. pp. 96–100. 2223: 2193: 2172: 2142: 2004: 1952: 1846: 1820: 1794: 1788: 1737: 1666: 1660: 1632: 1626: 1562: 1541: 1535: 1484: 1446: 1440: 1389: 1343: 1337: 1286: 1239: 1201: 999: 976: 938: 822:Quantum mechanical description 816:four-center two-electron bonds 1: 2358:in the notation referring to 2048:levels of atom B is given as 832:molecular orbital (MO) theory 440:One- and three-electron bonds 64:that involves the sharing of 3504:10.1016/0370-2693(88)90719-8 3296:. University Science Books. 3015:Chemistry: A structural view 2628:Covalent bond classification 526:, NO. The oxygen molecule, O 131:dates from 1939. The prefix 3394:10.1088/0953-8984/15/45/014 3201:Journal of Chemical Physics 2842:"The atom and the molecule" 818:also have been postulated. 749:. This is explained by the 414:Network covalent structures 143:", such as is discussed in 4516: 3762:Metal–ligand multiple bond 3449:10.1140/epja/i2017-12234-5 776: 737:Certain molecules such as 730: 719:aromatics and substituted 661: 591: 538:and its heavier analogues 495:than for the 2-electron Li 432:. Elements that have high 404:, and biopolymers such as 319:is one σ and two π bonds. 29: 4479:List of organic compounds 4424: 4118: 3842: 2726:. John Wiley & Sons. 1176:for atom A is defined as 895:configuration interaction 880:spectral absorption bands 878:and the understanding of 870:and the understanding of 503:and inner-shell effects. 41:A covalent bond forming H 32:Covalent (disambiguation) 4320:Molecular orbital theory 3292:Anslyn, Eric V. (2006). 3273:Spectrochemical Analysis 2622:Coordinate covalent bond 828:valence bond (VB) theory 759:molecular orbital theory 702:molecular orbital theory 288:of participating atoms. 3423:Brodsky, S. J. (2017). 3275:, Prentice Hall, 1988, 3166:Chemical Communications 2978:English translation in 2922:(8 ed.). Pearson. 2892:(7 ed.). Pearson. 2571:rather than electrons. 904:Modern calculations in 292:Types of covalent bonds 3247:Atkins, P. W. (1974). 2946:Zeitschrift für Physik 2918:Bruice, Paula (2016). 2888:McMurry, John (2016). 2551: 2519: 2476: 2432: 2350: 2325: 2235: 2042: 1990: 1944:of the mass center of 1936: 1865:The relative position 1853: 1802: 1639: 1608: 1548: 1462: 1382: 1276: 1168: 1167:{\displaystyle m_{s},} 1135: 1134:{\displaystyle m_{l},} 1102: 1076: 1048: 983: 844:electron configuration 708:), creating a regular 684: + 2 (where 676:, where the number of 456: 195: 109:metal-to-metal bonding 53: 2718:March, Jerry (1992). 2674:Resonance (chemistry) 2552: 2520: 2477: 2433: 2351: 2326: 2236: 2043: 1991: 1937: 1854: 1803: 1640: 1609: 1549: 1463: 1354: 1248: 1169: 1136: 1103: 1077: 1049: 991:of an atomic orbital 984: 594:Resonance (chemistry) 447: 307:is usually a σ bond. 235:electron dot notation 185: 40: 3752:Coordinate (dipolar) 3095:Pauling, L. (1960). 2980:Hettema, H. (2000). 2541: 2494: 2448: 2364: 2340: 2251: 2055: 2000: 1948: 1871: 1817: 1654: 1638:{\displaystyle g(E)} 1620: 1558: 1475: 1183: 1148: 1115: 1089: 1063: 995: 929: 899:electron correlation 733:Hypervalent molecule 352:molecular structures 113:agostic interactions 4260:Valence bond theory 3926:C–H···O interaction 3708:Electron deficiency 3549:2013PhLB..727..438B 3496:1988PhLB..206..685B 3441:2017EPJA...53...48B 3386:2003JPCM...15.7751G 3359:10.1021/j100135a014 3331:10.1021/ja00349a027 3213:2014JChPh.141k4704C 3120:Valency and Bonding 3044:Valency and Bonding 2958:1927ZPhy...44..455H 2858:10.1021/ja02261a002 2827:10.1021/ja02227a002 2751:Inorganic Chemistry 2669:Noncovalent bonding 2488:bond. The quantity 1787: 1534: 1439: 1336: 876:ionization energies 872:reaction mechanisms 779:Electron deficiency 773:Electron deficiency 767:valence bond theory 743:sulfur hexafluoride 706:valence bond theory 346:Covalent structures 239:Lewis dot structure 168:electronegativities 145:valence bond theory 3911:Resonance-assisted 3638:2009-02-10 at the 2966:10.1007/bf01397394 2591:Yukawa interaction 2547: 2527:is denoted as the 2515: 2472: 2428: 2346: 2321: 2231: 2038: 1986: 1932: 1849: 1798: 1731: 1729: 1699: 1683: 1635: 1604: 1544: 1478: 1458: 1383: 1280: 1164: 1131: 1101:{\displaystyle l,} 1098: 1075:{\displaystyle n,} 1072: 1044: 979: 860:molecular orbitals 765:of sigma bonds in 457: 282:molecular hydrogen 196: 54: 45:(right) where two 4487: 4486: 4459:Organic synthesis 4454:Organic reactions 4449:Organic compounds 4439:Functional groups 4418:organic chemistry 4383: 4382: 4379: 4378: 4354:Constituent units 4335:Molecular orbital 4314: 4313: 4294:Constituent units 4254: 4253: 4128:Quantum mechanics 4077: 4076: 4028:Electron counting 3999: 3998: 3888:London dispersion 3840: 3839: 3817:Metal aromaticity 3584:. chemguide. 2000 3527:Physics Letters B 3484:Physics Letters B 3353:(33): 8617–8624. 3325:(11): 3528–3537. 3303:978-1-891389-31-3 3258:978-0-19-855493-6 3221:10.1063/1.4895967 3172:(29): 3097–3099. 2993:978-981-02-2771-5 2929:978-0-13-404228-2 2920:Organic Chemistry 2899:978-0-321-94317-0 2755:. Prentice Hall. 2695:General Chemistry 2630:(or LXZ notation) 2612:Bonding in solids 2550:{\displaystyle E} 2349:{\displaystyle n} 1700: 1684: 1672: 1456: 906:quantum chemistry 812:cluster compounds 696: = 1, 4 680:fit the formula 4 670:organic chemistry 465:dihydrogen cation 434:electronegativity 328:chemical polarity 324:electronegativity 270:quantum mechanics 16:(Redirected from 4507: 4500:Chemical bonding 4434:Covalent bonding 4410: 4403: 4396: 4387: 4325: 4265: 4246:Exchange-coupled 4148: 4111:Chemical bonding 4104: 4097: 4090: 4081: 4069:Jemmis mno rules 3921:Dihydrogen bonds 3874: 3860: 3854: 3848: 3782:Hyperconjugation 3696: 3674: 3667: 3660: 3651: 3622: 3620: 3619: 3612:"Chemical Bonds" 3607: 3605: 3604: 3592: 3590: 3589: 3569: 3568: 3542: 3522: 3516: 3515: 3475: 3469: 3468: 3420: 3414: 3413: 3369: 3363: 3362: 3341: 3335: 3334: 3314: 3308: 3307: 3289: 3283: 3269: 3263: 3262: 3244: 3233: 3232: 3196: 3190: 3189: 3178:10.1039/b704944g 3163: 3162: 3161: 3153: 3152: 3140: 3134: 3133: 3115: 3109: 3108: 3102: 3092: 3083: 3082: 3064: 3058: 3057: 3039: 3033: 3032: 3010: 3004: 3003: 3001: 3000: 2977: 2952:(6–7): 455–472. 2940: 2934: 2933: 2915: 2904: 2903: 2885: 2870: 2869: 2837: 2831: 2830: 2806: 2800: 2799: 2797: 2796: 2789:"Chemical Bonds" 2785: 2779: 2773: 2767: 2766: 2754: 2744: 2738: 2737: 2725: 2715: 2709: 2708: 2690: 2664:Metallic bonding 2558: 2556: 2554: 2553: 2548: 2534: 2526: 2524: 2522: 2521: 2516: 2514: 2513: 2512: 2487: 2483: 2481: 2479: 2478: 2473: 2468: 2467: 2466: 2439: 2437: 2435: 2434: 2429: 2424: 2423: 2422: 2421: 2420: 2410: 2409: 2408: 2395: 2394: 2393: 2383: 2382: 2381: 2357: 2355: 2353: 2352: 2347: 2330: 2328: 2327: 2322: 2320: 2316: 2315: 2314: 2313: 2297: 2296: 2295: 2271: 2270: 2269: 2240: 2238: 2237: 2232: 2230: 2226: 2222: 2221: 2220: 2207: 2206: 2205: 2192: 2191: 2190: 2171: 2170: 2169: 2156: 2155: 2154: 2141: 2140: 2139: 2115: 2114: 2113: 2112: 2111: 2101: 2100: 2099: 2086: 2085: 2084: 2074: 2073: 2072: 2047: 2045: 2044: 2039: 2034: 2033: 2032: 2019: 2018: 2017: 2007: 1995: 1993: 1992: 1987: 1982: 1981: 1980: 1967: 1966: 1965: 1955: 1943: 1941: 1939: 1938: 1933: 1931: 1930: 1929: 1928: 1927: 1917: 1916: 1915: 1902: 1901: 1900: 1890: 1889: 1888: 1860: 1858: 1856: 1855: 1852:{\displaystyle } 1850: 1845: 1844: 1832: 1831: 1807: 1805: 1804: 1799: 1797: 1786: 1785: 1779: 1775: 1774: 1762: 1761: 1740: 1728: 1727: 1726: 1714: 1713: 1698: 1682: 1681: 1646: 1644: 1642: 1641: 1636: 1613: 1611: 1610: 1605: 1600: 1599: 1587: 1586: 1565: 1553: 1551: 1550: 1545: 1533: 1532: 1526: 1522: 1521: 1509: 1508: 1487: 1467: 1465: 1464: 1459: 1457: 1455: 1438: 1437: 1431: 1427: 1426: 1414: 1413: 1392: 1381: 1380: 1379: 1369: 1368: 1367: 1352: 1335: 1334: 1328: 1324: 1323: 1311: 1310: 1289: 1275: 1274: 1273: 1263: 1262: 1261: 1246: 1238: 1237: 1225: 1224: 1200: 1199: 1198: 1175: 1173: 1171: 1170: 1165: 1160: 1159: 1142: 1140: 1138: 1137: 1132: 1127: 1126: 1109: 1107: 1105: 1104: 1099: 1083: 1081: 1079: 1078: 1073: 1053: 1051: 1050: 1045: 1037: 1036: 1024: 1023: 1002: 990: 988: 986: 985: 980: 975: 974: 962: 961: 862:with electrons. 739:xenon difluoride 654: 646: 644: 643: 640: 637: 630: 628: 627: 624: 621: 577: 565: 536:Chlorine dioxide 521: 520: 519: 494: 493: 492: 478: 477: 476: 221:Gilbert N. Lewis 161: 160: 159: 150:In the molecule 21: 4515: 4514: 4510: 4509: 4508: 4506: 4505: 4504: 4490: 4489: 4488: 4483: 4474:Stereochemistry 4420: 4414: 4384: 4375: 4349: 4310: 4289: 4285:Lewis structure 4250: 4221: 4177: 4139: 4114: 4108: 4078: 4073: 4022: 3995: 3938: 3930: 3892: 3879: 3869: 3861: 3855: 3849: 3836: 3821: 3803: 3691: 3683: 3678: 3640:Wayback Machine 3629: 3617: 3615: 3610: 3602: 3600: 3595: 3587: 3585: 3580: 3577: 3572: 3524: 3523: 3519: 3477: 3476: 3472: 3422: 3421: 3417: 3371: 3370: 3366: 3343: 3342: 3338: 3316: 3315: 3311: 3304: 3291: 3290: 3286: 3270: 3266: 3259: 3246: 3245: 3236: 3198: 3197: 3193: 3160: 3157: 3156: 3155: 3151: 3148: 3147: 3146: 3144: 3142: 3141: 3137: 3130: 3117: 3116: 3112: 3094: 3093: 3086: 3079: 3066: 3065: 3061: 3054: 3041: 3040: 3036: 3029: 3012: 3011: 3007: 2998: 2996: 2994: 2979: 2942: 2941: 2937: 2930: 2917: 2916: 2907: 2900: 2887: 2886: 2873: 2839: 2838: 2834: 2808: 2807: 2803: 2794: 2792: 2787: 2786: 2782: 2776:Merriam-Webster 2774: 2770: 2763: 2746: 2745: 2741: 2734: 2717: 2716: 2712: 2705: 2692: 2691: 2687: 2683: 2678: 2634:Covalent radius 2607: 2565: 2539: 2538: 2536: 2532: 2497: 2492: 2491: 2489: 2485: 2451: 2446: 2445: 2443: 2411: 2399: 2384: 2372: 2367: 2362: 2361: 2359: 2338: 2337: 2335: 2304: 2286: 2282: 2278: 2254: 2249: 2248: 2211: 2196: 2181: 2160: 2145: 2130: 2126: 2122: 2102: 2090: 2075: 2063: 2058: 2053: 2052: 2023: 2008: 1998: 1997: 1971: 1956: 1946: 1945: 1918: 1906: 1891: 1879: 1874: 1869: 1868: 1866: 1836: 1823: 1815: 1814: 1812: 1766: 1753: 1718: 1705: 1652: 1651: 1618: 1617: 1615: 1591: 1578: 1556: 1555: 1513: 1500: 1473: 1472: 1418: 1405: 1371: 1359: 1353: 1315: 1302: 1265: 1253: 1247: 1229: 1216: 1189: 1181: 1180: 1151: 1146: 1145: 1143: 1118: 1113: 1112: 1110: 1087: 1086: 1084: 1061: 1060: 1058: 1056:quantum numbers 1028: 1015: 993: 992: 966: 953: 927: 926: 924: 915: 848:hybrid orbitals 840: 824: 802: 798: 781: 775: 735: 729: 715:In the case of 666: 660: 641: 638: 635: 634: 632: 625: 622: 619: 618: 616: 600:Lewis structure 596: 590: 585: 584: 583: 582: 581: 578: 570: 569: 566: 557: 556: 540:bromine dioxide 529: 518: 515: 514: 513: 511: 498: 491: 488: 487: 486: 484: 475: 472: 471: 470: 468: 442: 395: 382: 375: 368: 348: 301:Sigma (σ) bonds 297:Atomic orbitals 294: 286:atomic orbitals 204:Irving Langmuir 192:Lewis structure 180: 158: 155: 154: 153: 151: 44: 35: 28: 23: 22: 15: 12: 11: 5: 4513: 4511: 4503: 4502: 4492: 4491: 4485: 4484: 4482: 4481: 4476: 4471: 4466: 4461: 4456: 4451: 4446: 4441: 4436: 4431: 4425: 4422: 4421: 4415: 4413: 4412: 4405: 4398: 4390: 4381: 4380: 4377: 4376: 4374: 4373: 4371:Antibonding MO 4368: 4366:Non-bonding MO 4363: 4357: 4355: 4351: 4350: 4348: 4347: 4342: 4337: 4331: 4329: 4322: 4316: 4315: 4312: 4311: 4309: 4308: 4303: 4297: 4295: 4291: 4290: 4288: 4287: 4282: 4277: 4275:Hybrid orbital 4271: 4269: 4262: 4256: 4255: 4252: 4251: 4249: 4248: 4243: 4238: 4232: 4230: 4223: 4222: 4220: 4219: 4214: 4209: 4204: 4199: 4194: 4188: 4186: 4179: 4178: 4176: 4175: 4170: 4165: 4160: 4154: 4152: 4145: 4144:Types of bonds 4141: 4140: 4138: 4137: 4136: 4135: 4125: 4123:Atomic orbital 4119: 4116: 4115: 4109: 4107: 4106: 4099: 4092: 4084: 4075: 4074: 4072: 4071: 4066: 4061: 4060: 4059: 4054: 4049: 4044: 4033: 4031: 4024: 4023: 4021: 4020: 4015: 4009: 4007: 4001: 4000: 3997: 3996: 3994: 3993: 3988: 3983: 3978: 3973: 3968: 3958: 3953: 3948: 3942: 3940: 3932: 3931: 3929: 3928: 3923: 3918: 3913: 3908: 3902: 3900: 3894: 3893: 3891: 3890: 3884: 3882: 3871: 3867:Intermolecular 3863: 3862: 3843: 3841: 3838: 3837: 3835: 3834: 3831: 3829: 3823: 3822: 3820: 3819: 3813: 3811: 3805: 3804: 3802: 3801: 3800: 3799: 3794: 3784: 3779: 3774: 3769: 3764: 3759: 3754: 3749: 3744: 3739: 3738: 3737: 3727: 3726: 3725: 3720: 3715: 3704: 3702: 3693: 3689:Intramolecular 3685: 3684: 3681:Chemical bonds 3679: 3677: 3676: 3669: 3662: 3654: 3648: 3647: 3642: 3628: 3627:External links 3625: 3624: 3623: 3608: 3593: 3576: 3573: 3571: 3570: 3517: 3470: 3415: 3364: 3336: 3309: 3302: 3284: 3264: 3257: 3234: 3207:(11): 114704. 3191: 3158: 3149: 3135: 3128: 3110: 3084: 3077: 3059: 3052: 3034: 3027: 3005: 2992: 2935: 2928: 2905: 2898: 2871: 2852:(4): 762–785. 2832: 2821:(6): 868–934. 2801: 2780: 2768: 2761: 2739: 2732: 2710: 2703: 2684: 2682: 2679: 2677: 2676: 2671: 2666: 2661: 2656: 2651: 2646: 2641: 2639:Disulfide bond 2636: 2631: 2625: 2619: 2614: 2608: 2606: 2603: 2564: 2561: 2546: 2511: 2508: 2505: 2500: 2471: 2465: 2462: 2459: 2454: 2427: 2419: 2414: 2407: 2402: 2398: 2392: 2387: 2380: 2375: 2370: 2345: 2332: 2331: 2319: 2312: 2307: 2303: 2300: 2294: 2289: 2285: 2281: 2277: 2274: 2268: 2265: 2262: 2257: 2242: 2241: 2229: 2225: 2219: 2214: 2210: 2204: 2199: 2195: 2189: 2184: 2180: 2177: 2174: 2168: 2163: 2159: 2153: 2148: 2144: 2138: 2133: 2129: 2125: 2121: 2118: 2110: 2105: 2098: 2093: 2089: 2083: 2078: 2071: 2066: 2061: 2037: 2031: 2026: 2022: 2016: 2011: 2006: 1985: 1979: 1974: 1970: 1964: 1959: 1954: 1926: 1921: 1914: 1909: 1905: 1899: 1894: 1887: 1882: 1877: 1848: 1843: 1839: 1835: 1830: 1826: 1822: 1809: 1808: 1796: 1793: 1790: 1784: 1778: 1773: 1769: 1765: 1760: 1756: 1752: 1749: 1746: 1743: 1739: 1734: 1725: 1721: 1717: 1712: 1708: 1703: 1697: 1694: 1691: 1687: 1680: 1675: 1671: 1668: 1665: 1662: 1659: 1634: 1631: 1628: 1625: 1603: 1598: 1594: 1590: 1585: 1581: 1577: 1574: 1571: 1568: 1564: 1543: 1540: 1537: 1531: 1525: 1520: 1516: 1512: 1507: 1503: 1499: 1496: 1493: 1490: 1486: 1481: 1469: 1468: 1454: 1451: 1448: 1445: 1442: 1436: 1430: 1425: 1421: 1417: 1412: 1408: 1404: 1401: 1398: 1395: 1391: 1386: 1378: 1374: 1366: 1362: 1357: 1351: 1348: 1345: 1342: 1339: 1333: 1327: 1322: 1318: 1314: 1309: 1305: 1301: 1298: 1295: 1292: 1288: 1283: 1279: 1272: 1268: 1260: 1256: 1251: 1244: 1241: 1236: 1232: 1228: 1223: 1219: 1215: 1212: 1209: 1206: 1203: 1197: 1192: 1188: 1163: 1158: 1154: 1130: 1125: 1121: 1097: 1094: 1071: 1068: 1043: 1040: 1035: 1031: 1027: 1022: 1018: 1014: 1011: 1008: 1005: 1001: 978: 973: 969: 965: 960: 956: 952: 949: 946: 943: 940: 937: 934: 914: 911: 839: 836: 823: 820: 800: 796: 789:boron hydrides 777:Main article: 774: 771: 731:Main article: 728: 725: 662:Main article: 659: 656: 592:Main article: 589: 586: 579: 572: 571: 567: 560: 559: 558: 554: 553: 552: 551: 544:iodine dioxide 527: 516: 496: 489: 473: 441: 438: 393: 380: 373: 366: 356:macromolecular 347: 344: 293: 290: 274:Walter Heitler 230:Lewis notation 179: 176: 156: 70:electron pairs 49:share the two 47:hydrogen atoms 42: 26: 24: 18:Covalent bonds 14: 13: 10: 9: 6: 4: 3: 2: 4512: 4501: 4498: 4497: 4495: 4480: 4477: 4475: 4472: 4470: 4467: 4465: 4462: 4460: 4457: 4455: 4452: 4450: 4447: 4445: 4442: 4440: 4437: 4435: 4432: 4430: 4427: 4426: 4423: 4419: 4411: 4406: 4404: 4399: 4397: 4392: 4391: 4388: 4372: 4369: 4367: 4364: 4362: 4359: 4358: 4356: 4352: 4346: 4343: 4341: 4338: 4336: 4333: 4332: 4330: 4326: 4323: 4321: 4317: 4307: 4304: 4302: 4301:Covalent bond 4299: 4298: 4296: 4292: 4286: 4283: 4281: 4278: 4276: 4273: 4272: 4270: 4266: 4263: 4261: 4257: 4247: 4244: 4242: 4239: 4237: 4234: 4233: 4231: 4229: 4224: 4218: 4215: 4213: 4212:5 (quintuple) 4210: 4208: 4207:4 (quadruple) 4205: 4203: 4200: 4198: 4195: 4193: 4190: 4189: 4187: 4185: 4180: 4174: 4171: 4169: 4166: 4164: 4161: 4159: 4156: 4155: 4153: 4149: 4146: 4142: 4134: 4131: 4130: 4129: 4126: 4124: 4121: 4120: 4117: 4112: 4105: 4100: 4098: 4093: 4091: 4086: 4085: 4082: 4070: 4067: 4065: 4062: 4058: 4055: 4053: 4050: 4048: 4045: 4043: 4042:Hückel's rule 4040: 4039: 4038: 4035: 4034: 4032: 4029: 4025: 4019: 4016: 4014: 4011: 4010: 4008: 4006: 4005:Bond cleavage 4002: 3992: 3989: 3987: 3984: 3982: 3979: 3977: 3974: 3972: 3971:Intercalation 3969: 3966: 3962: 3961:Metallophilic 3959: 3957: 3954: 3952: 3949: 3947: 3944: 3943: 3941: 3937: 3933: 3927: 3924: 3922: 3919: 3917: 3914: 3912: 3909: 3907: 3904: 3903: 3901: 3899: 3895: 3889: 3886: 3885: 3883: 3881: 3878:Van der Waals 3875: 3872: 3868: 3864: 3859: 3853: 3847: 3833: 3832: 3830: 3828: 3824: 3818: 3815: 3814: 3812: 3810: 3806: 3798: 3795: 3793: 3790: 3789: 3788: 3785: 3783: 3780: 3778: 3775: 3773: 3770: 3768: 3765: 3763: 3760: 3758: 3755: 3753: 3750: 3748: 3745: 3743: 3740: 3736: 3733: 3732: 3731: 3728: 3724: 3721: 3719: 3716: 3714: 3711: 3710: 3709: 3706: 3705: 3703: 3701: 3697: 3694: 3690: 3686: 3682: 3675: 3670: 3668: 3663: 3661: 3656: 3655: 3652: 3646: 3643: 3641: 3637: 3634: 3631: 3630: 3626: 3613: 3609: 3598: 3594: 3583: 3579: 3578: 3574: 3566: 3562: 3558: 3554: 3550: 3546: 3541: 3536: 3532: 3528: 3521: 3518: 3513: 3509: 3505: 3501: 3497: 3493: 3489: 3485: 3481: 3474: 3471: 3466: 3462: 3458: 3454: 3450: 3446: 3442: 3438: 3434: 3430: 3426: 3419: 3416: 3411: 3407: 3403: 3399: 3395: 3391: 3387: 3383: 3379: 3375: 3368: 3365: 3360: 3356: 3352: 3348: 3340: 3337: 3332: 3328: 3324: 3320: 3313: 3310: 3305: 3299: 3295: 3288: 3285: 3282: 3281:0-13-826876-2 3278: 3274: 3268: 3265: 3260: 3254: 3250: 3243: 3241: 3239: 3235: 3230: 3226: 3222: 3218: 3214: 3210: 3206: 3202: 3195: 3192: 3187: 3183: 3179: 3175: 3171: 3167: 3139: 3136: 3131: 3125: 3121: 3114: 3111: 3106: 3101: 3100: 3091: 3089: 3085: 3080: 3078:9783319166766 3074: 3070: 3063: 3060: 3055: 3053:0-521-83128-8 3049: 3045: 3038: 3035: 3030: 3028:0-522-83988-6 3024: 3020: 3019:Carlton, Vic. 3016: 3009: 3006: 2995: 2989: 2985: 2984: 2975: 2971: 2967: 2963: 2959: 2955: 2951: 2947: 2939: 2936: 2931: 2925: 2921: 2914: 2912: 2910: 2906: 2901: 2895: 2891: 2884: 2882: 2880: 2878: 2876: 2872: 2867: 2863: 2859: 2855: 2851: 2847: 2843: 2836: 2833: 2828: 2824: 2820: 2816: 2812: 2805: 2802: 2790: 2784: 2781: 2777: 2772: 2769: 2764: 2762:0-13-035471-6 2758: 2753: 2752: 2743: 2740: 2735: 2733:0-471-60180-2 2729: 2724: 2723: 2714: 2711: 2706: 2704:0-03-072373-6 2700: 2696: 2689: 2686: 2680: 2675: 2672: 2670: 2667: 2665: 2662: 2660: 2657: 2655: 2652: 2650: 2649:Hydrogen bond 2647: 2645: 2644:Hybridization 2642: 2640: 2637: 2635: 2632: 2629: 2626: 2623: 2620: 2618: 2615: 2613: 2610: 2609: 2604: 2602: 2600: 2596: 2592: 2588: 2587:nuclear force 2584: 2583:cross-section 2581: 2577: 2574: 2570: 2562: 2560: 2544: 2530: 2506: 2498: 2469: 2460: 2452: 2440: 2425: 2412: 2400: 2396: 2385: 2373: 2368: 2343: 2317: 2305: 2301: 2298: 2287: 2283: 2279: 2275: 2272: 2263: 2255: 2247: 2246: 2245: 2227: 2212: 2208: 2197: 2182: 2178: 2175: 2161: 2157: 2146: 2131: 2127: 2123: 2119: 2116: 2103: 2091: 2087: 2076: 2064: 2059: 2051: 2050: 2049: 2024: 2020: 2009: 1972: 1968: 1957: 1919: 1907: 1903: 1892: 1880: 1875: 1863: 1841: 1837: 1833: 1828: 1824: 1791: 1771: 1767: 1763: 1758: 1754: 1750: 1747: 1744: 1741: 1732: 1723: 1719: 1715: 1710: 1706: 1701: 1695: 1692: 1689: 1685: 1673: 1669: 1663: 1657: 1650: 1649: 1648: 1647:of the solid 1629: 1623: 1596: 1592: 1588: 1583: 1579: 1575: 1572: 1569: 1566: 1538: 1518: 1514: 1510: 1505: 1501: 1497: 1494: 1491: 1488: 1479: 1452: 1449: 1443: 1423: 1419: 1415: 1410: 1406: 1402: 1399: 1396: 1393: 1384: 1376: 1372: 1364: 1360: 1355: 1349: 1346: 1340: 1320: 1316: 1312: 1307: 1303: 1299: 1296: 1293: 1290: 1281: 1277: 1270: 1266: 1258: 1254: 1249: 1242: 1234: 1230: 1226: 1221: 1217: 1213: 1210: 1207: 1204: 1190: 1186: 1179: 1178: 1177: 1161: 1156: 1152: 1128: 1123: 1119: 1095: 1092: 1069: 1066: 1057: 1041: 1033: 1029: 1025: 1020: 1016: 1012: 1009: 1006: 1003: 971: 967: 963: 958: 954: 950: 947: 944: 941: 935: 932: 923: 918: 912: 910: 907: 902: 900: 896: 891: 889: 888:Hückel's rule 883: 881: 877: 873: 869: 868:bond energies 863: 861: 857: 853: 849: 845: 837: 835: 833: 829: 821: 819: 817: 813: 809: 804: 794: 790: 786: 780: 772: 770: 768: 764: 760: 756: 752: 748: 744: 740: 734: 726: 724: 722: 718: 713: 711: 707: 703: 699: 695: 691: 687: 683: 679: 675: 674:Hückel's rule 671: 665: 657: 655: 653: 648: 614: 610: 606: 601: 595: 587: 576: 564: 550: 547: 545: 541: 537: 533: 532:paramagnetism 525: 509: 504: 502: 501:hybridization 482: 466: 462: 454: 450: 446: 439: 437: 435: 431: 427: 423: 419: 415: 411: 407: 403: 399: 391: 387: 383: 376: 369: 362: 357: 353: 345: 343: 341: 337: 334: 329: 325: 320: 318: 314: 310: 306: 302: 298: 291: 289: 287: 283: 279: 275: 271: 266: 264: 260: 256: 250: 248: 244: 240: 236: 232: 231: 226: 222: 217: 215: 211: 210: 205: 201: 193: 189: 184: 177: 175: 173: 169: 165: 148: 146: 142: 138: 134: 130: 129:covalent bond 126: 122: 118: 114: 110: 106: 102: 97: 95: 94:ionic bonding 91: 87: 83: 82:bonding pairs 79: 75: 71: 67: 63: 62:chemical bond 59: 58:covalent bond 52: 48: 39: 33: 19: 4469:Spectroscopy 4464:Publications 4444:Nomenclature 4433: 4416:Concepts in 4300: 4217:6 (sextuple) 4184:multiplicity 4047:Baird's rule 3767:Charge-shift 3730:Hypervalence 3699: 3616:. Retrieved 3601:. Retrieved 3586:. Retrieved 3533:(4–5): 438. 3530: 3526: 3520: 3487: 3483: 3473: 3432: 3428: 3418: 3380:(45): 7751. 3377: 3373: 3367: 3350: 3346: 3339: 3322: 3318: 3312: 3293: 3287: 3272: 3267: 3248: 3204: 3200: 3194: 3169: 3165: 3138: 3119: 3113: 3098: 3071:. Springer. 3068: 3062: 3043: 3037: 3014: 3008: 2997:. Retrieved 2982: 2949: 2945: 2938: 2919: 2889: 2849: 2845: 2835: 2818: 2814: 2804: 2793:. Retrieved 2783: 2771: 2750: 2742: 2721: 2713: 2694: 2688: 2566: 2528: 2441: 2333: 2243: 1864: 1810: 1470: 919: 916: 903: 892: 884: 864: 841: 825: 814:, so-called 805: 782: 736: 727:Hypervalence 717:heterocyclic 714: 697: 693: 685: 681: 667: 649: 597: 568:Nitric oxide 548: 524:nitric oxide 508:helium dimer 505: 458: 398:polyethylene 392:and solid CO 349: 321: 309:Pi (π) bonds 295: 278:Fritz London 267: 262: 258: 251: 247:triple bonds 243:double bonds 238: 234: 228: 218: 213: 207: 199: 197: 149: 136: 132: 128: 98: 81: 78:shared pairs 77: 57: 55: 4429:Aromaticity 4151:By symmetry 4037:Aromaticity 4013:Heterolysis 3991:Salt bridge 3936:Noncovalent 3906:Low-barrier 3787:Aromaticity 3777:Conjugation 3757:Pi backbond 2573:High energy 922:mass center 678:π electrons 664:Aromaticity 658:Aromaticity 453:MO diagrams 430:resistivity 317:triple bond 313:double bond 305:single bond 172:delocalized 127:. The term 4361:Bonding MO 4345:MO diagram 4202:3 (triple) 4197:2 (double) 4192:1 (single) 3965:aurophilic 3946:Mechanical 3618:2012-02-05 3603:2012-02-05 3588:2012-02-05 3490:(4): 685. 3129:0521831288 2999:2012-02-05 2795:2013-06-09 2681:References 2654:Ionic bond 2617:Bond order 2580:scattering 747:octet rule 605:bond order 338:, or else 255:octet rule 117:bent bonds 4306:Lone pair 4280:Resonance 4168:Delta (δ) 4158:Sigma (σ) 4057:spherical 4018:Homolysis 3981:Cation–pi 3956:Chalcogen 3916:Symmetric 3772:Hapticity 3540:1308.6404 3465:126305939 3435:(3): 48. 3410:250757642 3402:0953-8984 2974:119739102 2890:Chemistry 2529:covalency 2299:− 2276:− 2176:− 2120:− 2036:⟩ 1984:⟩ 1777:⟩ 1702:∑ 1686:∑ 1674:∑ 1602:⟩ 1524:⟩ 1429:⟩ 1356:∫ 1326:⟩ 1250:∫ 1039:⟩ 852:resonance 763:resonance 620:2 + 1 + 1 588:Resonance 481:dilithium 336:asymmetry 333:geometric 214:covalence 200:covalence 198:The term 105:π-bonding 101:σ-bonding 90:molecules 86:electrons 66:electrons 51:electrons 4494:Category 4328:Concepts 4268:Concepts 3986:Anion–pi 3976:Stacking 3898:Hydrogen 3809:Metallic 3700:Covalent 3692:(strong) 3636:Archived 3565:30153514 3229:25240365 3186:17639154 2866:95865413 2605:See also 2593:where a 2578:-proton 793:diborane 791:such as 721:benzenes 613:nitrogen 580:Dioxygen 510:cation, 418:graphite 406:proteins 164:hydrogen 72:between 68:to form 4241:Singlet 4236:Triplet 4173:Phi (φ) 3951:Halogen 3797:bicyclo 3742:Agostic 3575:Sources 3545:Bibcode 3512:1448604 3492:Bibcode 3457:1341388 3437:Bibcode 3382:Bibcode 3209:Bibcode 3105:340–354 2954:Bibcode 2599:hadrons 2557:⁠ 2537:⁠ 2531:of the 2525:⁠ 2490:⁠ 2482:⁠ 2444:⁠ 2438:⁠ 2360:⁠ 2356:⁠ 2336:⁠ 1942:⁠ 1867:⁠ 1859:⁠ 1813:⁠ 1645:⁠ 1616:⁠ 1174:⁠ 1144:⁠ 1141:⁠ 1111:⁠ 1108:⁠ 1085:⁠ 1082:⁠ 1059:⁠ 989:⁠ 925:⁠ 710:hexagon 690:benzene 645:⁠ 633:⁠ 629:⁠ 617:⁠ 609:nitrate 461:radical 422:diamond 386:ethanol 340:dipoles 188:methane 178:History 141:valence 4163:Pi (π) 4113:theory 4052:Möbius 3880:forces 3870:(weak) 3563:  3510:  3463:  3455:  3408:  3400:  3300:  3279:  3255:  3227:  3184:  3126:  3075:  3050:  3025:  2990:  2972:  2926:  2896:  2864:  2759:  2730:  2701:  2576:proton 2569:quarks 1471:where 607:. The 426:quartz 410:starch 390:iodine 377:, and 225:photon 162:, the 135:means 4030:rules 3939:other 3827:Ionic 3735:3c–4e 3723:8c–2e 3718:4c–2e 3713:3c–2e 3561:S2CID 3535:arXiv 3461:S2CID 3406:S2CID 2970:S2CID 2862:S2CID 2595:meson 1054:with 808:boron 449:Lewis 402:nylon 206:in a 74:atoms 60:is a 4340:LCAO 4228:spin 3792:homo 3747:Bent 3508:OSTI 3453:OSTI 3398:ISSN 3298:ISBN 3277:ISBN 3253:ISBN 3225:PMID 3182:PMID 3170:2007 3124:ISBN 3073:ISBN 3048:ISBN 3023:ISBN 2988:ISBN 2924:ISBN 2894:ISBN 2757:ISBN 2728:ISBN 2699:ISBN 920:The 830:and 761:and 741:and 542:and 451:and 424:and 408:and 400:and 276:and 245:and 123:and 4226:By 4182:By 3553:doi 3531:727 3500:doi 3488:206 3445:doi 3390:doi 3355:doi 3327:doi 3323:105 3217:doi 3205:141 3174:doi 3164:". 2962:doi 2854:doi 2823:doi 2533:A−B 2486:A−B 783:In 757:in 668:In 361:HCl 237:or 233:or 133:co- 80:or 4496:: 3559:. 3551:. 3543:. 3529:. 3506:. 3498:. 3486:. 3482:. 3459:. 3451:. 3443:. 3433:53 3431:. 3427:. 3404:. 3396:. 3388:. 3378:15 3376:. 3351:97 3349:. 3321:. 3237:^ 3223:. 3215:. 3203:. 3180:. 3168:. 3087:^ 3017:. 2968:. 2960:. 2950:44 2948:. 2908:^ 2874:^ 2860:. 2850:38 2848:. 2844:. 2819:41 2817:. 2813:. 2559:. 882:. 795:(B 769:. 647:. 631:= 512:He 485:Li 467:, 412:. 379:CH 372:CO 370:, 365:SO 363:, 354:, 174:. 147:. 119:, 115:, 111:, 107:, 103:, 96:. 56:A 4409:e 4402:t 4395:v 4103:e 4096:t 4089:v 3967:) 3963:( 3673:e 3666:t 3659:v 3621:. 3606:. 3591:. 3567:. 3555:: 3547:: 3537:: 3514:. 3502:: 3494:: 3467:. 3447:: 3439:: 3412:. 3392:: 3384:: 3361:. 3357:: 3333:. 3329:: 3306:. 3261:. 3231:. 3219:: 3211:: 3188:. 3176:: 3159:7 3154:H 3150:6 3145:B 3132:. 3107:. 3081:. 3056:. 3031:. 3002:. 2976:. 2964:: 2956:: 2932:. 2902:. 2868:. 2856:: 2829:. 2825:: 2798:. 2765:. 2736:. 2707:. 2545:E 2510:B 2507:, 2504:A 2499:C 2470:, 2464:B 2461:, 2458:A 2453:C 2426:. 2418:B 2413:l 2406:B 2401:n 2397:, 2391:A 2386:l 2379:A 2374:n 2369:C 2344:n 2318:| 2311:B 2306:m 2302:c 2293:A 2288:m 2284:c 2280:| 2273:= 2267:B 2264:, 2261:A 2256:C 2228:| 2224:) 2218:B 2213:l 2209:, 2203:B 2198:n 2194:( 2188:B 2183:m 2179:c 2173:) 2167:A 2162:l 2158:, 2152:A 2147:n 2143:( 2137:A 2132:m 2128:c 2124:| 2117:= 2109:B 2104:l 2097:B 2092:n 2088:, 2082:A 2077:l 2070:A 2065:n 2060:C 2030:B 2025:l 2021:, 2015:B 2010:n 2005:| 1978:A 1973:l 1969:, 1963:A 1958:n 1953:| 1925:B 1920:l 1913:B 1908:n 1904:, 1898:A 1893:l 1886:A 1881:n 1876:C 1847:] 1842:1 1838:E 1834:, 1829:0 1825:E 1821:[ 1795:) 1792:E 1789:( 1783:A 1772:s 1768:m 1764:, 1759:l 1755:m 1751:, 1748:l 1745:, 1742:n 1738:| 1733:g 1724:s 1720:m 1716:, 1711:l 1707:m 1696:l 1693:, 1690:n 1679:A 1670:= 1667:) 1664:E 1661:( 1658:g 1633:) 1630:E 1627:( 1624:g 1597:s 1593:m 1589:, 1584:l 1580:m 1576:, 1573:l 1570:, 1567:n 1563:| 1542:) 1539:E 1536:( 1530:A 1519:s 1515:m 1511:, 1506:l 1502:m 1498:, 1495:l 1492:, 1489:n 1485:| 1480:g 1453:E 1450:d 1447:) 1444:E 1441:( 1435:A 1424:s 1420:m 1416:, 1411:l 1407:m 1403:, 1400:l 1397:, 1394:n 1390:| 1385:g 1377:1 1373:E 1365:0 1361:E 1350:E 1347:d 1344:) 1341:E 1338:( 1332:A 1321:s 1317:m 1313:, 1308:l 1304:m 1300:, 1297:l 1294:, 1291:n 1287:| 1282:g 1278:E 1271:1 1267:E 1259:0 1255:E 1243:= 1240:) 1235:s 1231:m 1227:, 1222:l 1218:m 1214:, 1211:l 1208:, 1205:n 1202:( 1196:A 1191:m 1187:c 1162:, 1157:s 1153:m 1129:, 1124:l 1120:m 1096:, 1093:l 1070:, 1067:n 1042:, 1034:s 1030:m 1026:, 1021:l 1017:m 1013:, 1010:l 1007:, 1004:n 1000:| 977:) 972:s 968:m 964:, 959:l 955:m 951:, 948:l 945:, 942:n 939:( 936:m 933:c 801:6 799:H 797:2 698:n 694:n 686:n 682:n 642:3 639:/ 636:4 626:3 623:/ 528:2 517:2 497:2 490:2 474:2 469:H 394:2 381:4 374:2 367:2 263:n 259:n 157:2 152:H 43:2 34:. 20:)

Index

Covalent bonds
Covalent (disambiguation)

hydrogen atoms
electrons
chemical bond
electrons
electron pairs
atoms
electrons
molecules
ionic bonding
σ-bonding
π-bonding
metal-to-metal bonding
agostic interactions
bent bonds
three-center two-electron bonds
three-center four-electron bonds
valence
valence bond theory
hydrogen
electronegativities
delocalized

methane
Lewis structure
Irving Langmuir
Journal of the American Chemical Society
Gilbert N. Lewis

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.