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An in-depth exploration of covalent bonding, including bond order, bond strength, electronegativity, and their relationships. It covers single and multiple bonds, bond energies, and trends in bond lengths and strengths.
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In covalent bonding, atoms fill their outer valence shells by sharing electrons with neighboring atoms. Each atom in a covalent bond “counts” the shared electrons as belonging entirely to itself. The bond order is the number of electron pairs being shared by a pair of bonded atoms. The covalent bond in H 2 , HCl, or Cl 2 is a single bond. This bond consists of a single pair of electrons. A single bond has a bond order of 1. Single bonds are the most common type of bond, but many molecules (and polyatomic ions) contain multiple bonds. Multiple bonds most frequently involve C, O, N, and sometimes P and S. There are two types of multiple bonds: double and triple. A double bond consists of two bonding electron pairs, four electrons shared between two atoms, so the bond order is 2. Ethylene (C 2 H 4 ) is a simple hydrocarbon that contains a carbon-‐‑carbon double bond. A triple bond consists of three bonding pairs; two atoms share six electrons so the bond order is 3. In the N 2 molecule, the atoms are held together by a triple bond. Six shared electrons and two unshared electrons give each nitrogen an octet. Bond numbers can be fractions as well as whole numbers. (Think resonance!) The strength of a covalent bond depends on the magnitude of the mutual attraction between bonded nuclei and shared electrons. The more electron density that is located between the atoms, the stronger the bond. The bond energy bond enthalpy or bond strength is the energy required to overcome this attraction and is defined as the standard enthalpy change for breaking the bond in mole of gaseous molecules. Bond breaking is always positive. A—B(g) ® A(g) + B(g) ∆H°Bond breaking =BE(A—B); +BE(A—B) >0. The same amount of energy that is absorbed to break the bond is the energy released when the bond forms. A(g) + B(g) ® A—B(g) ∆H°bond forming =–BE(A—B); BE(A—B) <0. Bond energies depend on characteristics of the bonded atoms, their electron configurations, nuclear charges, and atomic radii; each bond type has its own energy. Stronger bonds are larger in energy (have a deeper energy well), weaker bonds are lower in energy (have shallower energy wells). The energy of a given type of bond varies slightly from molecule-‐‑to-‐‑molecule, and even with in the same molecule. The bond energies given below are averages (Table 2) (^1) Background reading for this handout can be found in sections 8.8 & 9.7 of Brown and LeMay.
Table 1: Electronegativities H
Li
Be
Na
Mg
Electronegativities of various elements Al
Si
Cl
K
Ca
Sc
Ti
Cr
Mn
Fe
Co
Ni
Cu
Zn
Ga
Ge
As
Se
Br
Rb
Sr
Zr
Nb
Mo
Tc
Ru
Rh
Pd
Ag
Cd
In
Sn
Sb
Te
Cs
Ba
La
Hf
Ta
Re
Os
Ir
Pt
Au
Hg
Tl
Pb
Bi
Po
At
Table 2: Average bond enthalpies (kJ/mol) Single bonds C—H 413 N—H 391 O—H 463 F—F 155 C—C 348 N—N 163 O—O 146 C—N 293 N—O 201 O—F 190 Cl—F 253 C—O 358 N—F 272 O—Cl 203 Cl—Cl 242 C—F 485 N—Cl 200 O—I 234 C—Cl 328 N—Br 243 Br—F 237 C—Br 276 N—P 209 S—H 339 Br—Cl 218 C—I 240 N—I 159 S—F 327 Br—Br 193 C—S 259 S—Cl 253 C—P 264 H—H 436 S—Br 218 I—Cl 208 H—F 567 S—S 266 I—Br 175 H—Cl 431 I—I 151 H—Br 366 H—I 299 Multiple bonds C=C 614 N=N 418 O 2 495 CºC 839 NºN 941 C=N 615 N=O 607 S=O 523 CºN 891 S=S 418 C=O 745 C=O 799 for carbon dioxide CºO 1072 C=O 745 A covalent bond has a characteristic bond length, the distance between nuclei of two bonded atoms. Here too, we look at the average bond lengths for the given bond in different substances. A close relationship exists among bond order, bond length, and bond energy. Two nuclei are more strongly attracted to two shared electron pairs than to one. For a given pair of atoms, a higher bond order results in shorter bond lengths and higher bond energy. One way of thinking about bond enthalpy and bond length is to examine a potential energy diagram for the atoms in question. The potential energy diagram for molecular hydrogen is shown below. The potential energy of two hydrogen atoms is plotted against the distance between the nuclei, with a depiction of the atomic systems above. As we look at the plot from right to left, first we see the
Bond orders and bond energies for selected molecules. molecule Bond Bond order Bond energy (kJ/mol) HF H—F 1 565 HCl H—Cl 1 427 HI H—I 1 363 Cl 2 Cl—Cl 1 295 Br 2 Br—Br 1 193 I 2 I—I 1 151 CH 3 CH 3 C—C 1 376 CH 2 CH 2 C=C 2 720 CO 2 C=O 2 799 H 2 CO C=O 2 782 N 2 NºN 3 945 HCCH CºC 3 962
Potential energy (kJ/mol) Energy absorbed when bond breaks, the bond enthalpy 74pm Inter-nuclear Separation