Tanford Equation Formula:
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Definition: The Tanford equation estimates the volume of a hydrocarbon chain in a micelle core based on the number of carbon atoms.
Purpose: This calculation is essential in colloid and interface science for understanding micelle formation and properties.
The calculator uses the Tanford equation:
Where:
Explanation: The equation provides an empirical relationship between chain length and the space occupied by the hydrocarbon tail in a micelle.
Details: Accurate volume estimation helps predict micelle size, aggregation number, and stability in surfactant solutions.
Tips: Simply enter the number of carbon atoms in the hydrocarbon chain (must be ≥ 1) and click calculate.
Q1: What is the physical meaning of the constants in the equation?
A: The constants (27.4 and 26.9) are empirical parameters that account for the volume contribution per carbon atom and end-group effects.
Q2: What range of carbon atoms is this valid for?
A: Typically valid for hydrocarbon chains with 8-18 carbon atoms, common in surfactant molecules.
Q3: Why is the result in cubic meters?
A: The equation gives SI units, but you can multiply by 10^6 to get cm³ if needed.
Q4: Does this account for temperature effects?
A: No, the equation assumes standard conditions. Volume may vary slightly with temperature.
Q5: Can this be used for branched hydrocarbon chains?
A: No, the equation is specifically for linear hydrocarbon chains.