A relationship between bond lengths and single bond covalent...

A relationship between bond lengths and single bond covalent radii of atoms is given on page 449. Use this relationship together with appropriate data from Table 10.2 to estimate these single-bond lengths. (a) $\mathrm{I}-\mathrm{Cl} ;$ (b) $\mathrm{O}-\mathrm{Cl} ;$ (c) $\mathrm{C}-\mathrm{F} ;$ (d) $\mathrm{C}-\mathrm{Br}$.

A relationship between bond lengths and single bond covalent radii of atoms is given on page 449. Use this relationship together with appropriate data from Table 10.2 to estimate these single-bond lengths.
(a) $\mathrm{I}-\mathrm{Cl} ;$ (b) $\mathrm{O}-\mathrm{Cl} ;$ (c) $\mathrm{C}-\mathrm{F} ;$ (d) $\mathrm{C}-\mathrm{Br}$.

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Key Concepts

Covalent Radius

The covalent radius is a measure of the size of an atom that is used, especially when atoms are bonded to one another, to estimate distances between nuclei. It is determined from experimental data and is key in predicting bond lengths by roughly summing the radii of the two bonded atoms.

Bond Length

Bond length refers to the distance between the nuclei of two bonded atoms. It is an important parameter that reflects the strength and character of the bond, and it is commonly estimated by using the sum of the covalent radii of the participating atoms in a single bond scenario.

Single Bond Character

A single bond involves the sharing of one pair of electrons between two atoms. The bond length in single bonds is typically longer than in multiple bonds due to the lower electron density between the nuclei, and the standard estimation involves using the sum of the covalent radii, which have been empirically determined.

Use of Empirical Data for Estimation

Empirical data such as that found in tables listing covalent radii (like Table 10.2) allow chemists to estimate molecular dimensions. By applying the relationship that the bond length is approximately equal to the sum of the covalent radii of the bonded atoms, it becomes possible to predict bond lengths using known atomic parameters.

Transcript

00:01 So what we're going to do is we're going to estimate the bond length for the following four bonds.

00:06 So we have icl, ocl, cf, cr, cbr.

00:11 So we're going to do, also notice that they're all single bonded, and this is really important because double bonded will be calculated different, and we can't really estimate those as easy.

00:21 So notice that i have here a list of bond length, you should have with you a table.

00:26 So what we're going to do is because this ones are heteronuclear, bond links means that they're between two different atoms and this ones are homonuclear bond lengths.

00:36 We're going to do so we have to split those and half.

00:38 You're going to break those bonds to make the new bonds.

00:41 So when you have something that is heteronuclear like this, so two different atoms, what you're going to do is to approximate the bond length.

00:50 You're going to add, so you're going to break the bond.

00:53 So one half of a, a plus one half of b, tb.

00:59 And that should give you an estimated bond length for this.

01:03 So as what we're going to do for those.

01:04 Now some tables will give them to you, right? but if they're not given to you, then this is how they're estimated.

01:12 So let's go ahead and calculate.

01:13 So for this one, we're going to do one half ii plus one half cl cl...