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Bond Length Calculator

Bond Length Formula:

\[ r = r_1 + r_2 - 0.09|χ_1 - χ_2| \]

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pm

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1. What is Bond Length?

Bond length is the average distance between the nuclei of two bonded atoms in a molecule. It's an important parameter in molecular geometry and affects the physical and chemical properties of substances.

2. How Does the Calculator Work?

The calculator uses the following empirical formula:

\[ r = r_1 + r_2 - 0.09|χ_1 - χ_2| \]

Where:

Explanation: The equation accounts for the atomic sizes and the electronegativity difference between the atoms, which affects bond length.

3. Importance of Bond Length Calculation

Details: Bond length determines bond strength, molecular geometry, and influences properties like boiling point, melting point, and chemical reactivity.

4. Using the Calculator

Tips: Enter atomic radii in picometers (pm) and electronegativity values (Pauling scale). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units are used for bond length?
A: Bond lengths are typically measured in picometers (pm) or angstroms (Å), with 1 Å = 100 pm.

Q2: How accurate is this empirical formula?
A: It provides reasonable estimates but may differ from experimental values by a few percent. For precise measurements, spectroscopic methods are needed.

Q3: Does bond length vary with bond type?
A: Yes, single bonds are longest, followed by double bonds, with triple bonds being shortest for the same atom pair.

Q4: What affects bond length?
A: Atomic size, bond order, hybridization, and electronegativity differences all influence bond length.

Q5: Where can I find atomic radii and electronegativity values?
A: Standard periodic tables and chemistry reference materials provide these values.

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