Bond Length Calculator

Formula

The formula to calculate the bond length is:

\[ d_{A-B} = r_A + r_B - 0.09 \times (x_A - x_B) \]

Where:

\(d_{A-B}\) is the Distance between the Nuclei of Atoms A and B
\(r_A\) is the Covalent Radius of Atom A (pm)
\(r_B\) is the Covalent Radius of Atom B (pm)
\(x_A\) is the Electronegativity of Atom A
\(x_B\) is the Electronegativity of Atom B

What is a Bond Length?

A bond length is a measure of the distance between the centers of two bonded nuclei. The distance is typically measured in picometers (pm).

Example Calculation 1

Let's assume the following values:

Covalent Radius of Atom A (\(r_A\)) = 77 pm
Covalent Radius of Atom B (\(r_B\)) = 66 pm
Electronegativity of Atom A (\(x_A\)) = 2.1
Electronegativity of Atom B (\(x_B\)) = 3.0

Using the formula:

\[ d_{A-B} = 77 + 66 - 0.09 \times (2.1 - 3.0) = 143.081 \text{ pm} \]

The Bond Length is 143.081 pm.

Example Calculation 2

Let's assume the following values:

Covalent Radius of Atom A (\(r_A\)) = 88 pm
Covalent Radius of Atom B (\(r_B\)) = 74 pm
Electronegativity of Atom A (\(x_A\)) = 2.5
Electronegativity of Atom B (\(x_B\)) = 3.5

Using the formula:

\[ d_{A-B} = 88 + 74 - 0.09 \times (2.5 - 3.5) = 162.09 \text{ pm} \]

The Bond Length is 162.09 pm.

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