Worked example 1
A spot travels 3.6 cm while the solvent front travels 8.0 cm. Calculate Rf.
Try it first: Identify which distance is the denominator.
0 of 3 steps revealed.
What you'll be able to do: Interpret a chromatogram, calculate Rf values and explain separation using intermolecular forces.
Best after: Justifying Properties with Intermolecular Forces
Chromatography turns the whole unit into a measurement. A dye that clings to the paper barely moves; one that prefers the solvent races ahead, and the ratio tells you which forces dominate.
These are recommended, not required. You can start this lesson at any time.
In paper chromatography the stationary phase is the polar cellulose paper with its many O-H groups. In thin layer chromatography it is usually polar silica gel. The mobile phase is the solvent that rises by capillary action. Every component partitions between the two.
Each component repeatedly spends time associated with the stationary phase and dissolved in the mobile phase. A component that spends a larger fraction of the run moving with the solvent travels farther; one retained more strongly spends more time behind. Silica is a common polar stationary phase in TLC. Paper chromatography can also involve water associated with cellulose as part of the stationary environment; the classroom description of “polar paper” summarizes that system.
Measure from the pencil origin line to the centre of the spot, and from the same line to the solvent front. Divide the spot's travel distance by the front's travel distance. In an ordinary planar run, Rf is between 0 and 1. Reproducibility requires comparable solvent, stationary phase, temperature and other conditions.
Mark the solvent front immediately after removing the chromatogram, before the solvent evaporates. Measure along the direction of travel from the origin line to the center of each spot, not from the bottom of the paper and not from the spot's upper edge. If a spot center is at 5.0 cm on a ruler, the origin at 1.0 cm and the front at 9.0 cm, use (5.0 − 1.0)/(9.0 − 1.0) = 0.50. A value outside 0–1 flags an ordinary planar-chromatography measurement or setup problem.
Rf = dspot / dsolvent
A high Rf means a component travels farther with the mobile phase relative to the stationary phase; a low Rf indicates greater retention relative to the mobile phase. In normal-phase TLC with polar silica and a relatively nonpolar eluent, a more strongly retained polar solute often has a lower Rf. Depending on its structure it may interact through hydrogen bonding, dipole interactions, or other attractions; an Rf alone does not establish which interaction caused retention.
Making the eluent more polar can compete for adsorption sites and carry the solute farther, raising Rf. Do not carry the “more polar means lower Rf” rule into a different stationary/mobile phase system without examining both partners. The separation measures relative phase preference, not polarity in isolation.
Draw the origin line in pencil, since ink separates too. Keep the spot above the solvent level, otherwise the sample dissolves into the reservoir and no separation occurs. Cover the chamber so the atmosphere stays saturated and the front rises evenly.
Apply a small concentrated spot and let it dry between applications so it does not streak across a wide region. Keep the plate upright and avoid touching the coated surface. A large overloaded spot can smear, making its center and Rf unreliable. A chamber lid helps maintain a consistent solvent atmosphere, but it cannot rescue a sample initially submerged in the solvent reservoir.
Rf depends on the mobile phase, stationary phase, temperature and experimental conditions. Compare an unknown with a standard on the same run when possible. Equal Rf values support, but do not prove, a shared identity: different compounds can co-migrate. One visible spot also does not prove purity, because components can overlap or fail to appear with the chosen detection method.
Run a second solvent system to test an apparent match. If an unknown and standard separate there, they differ. If they continue to match, the evidence is stronger, although it remains a chromatographic comparison rather than a complete structural identification. Record the solvent system with the Rf value so another person can reproduce the conditions.
The fixed material, such as cellulose paper or silica gel, that components adhere to.
The solvent that moves through the stationary phase carrying components with it.
Rf is the spot distance divided by the solvent front distance, always between 0 and 1.
High Rf means stronger attraction to the mobile phase; low Rf means stronger attraction to the stationary phase.
Rf = dspot / dsolvent
A spot travels 3.6 cm while the solvent front travels 8.0 cm. Calculate Rf.
Try it first: Identify which distance is the denominator.
0 of 3 steps revealed.
On polar paper with a nonpolar solvent, dye X has Rf 0.85 and dye Y has Rf 0.12. Assuming differences in polarity dominate retention, which dye is likely more polar?
Try it first: Decide which phase is polar before interpreting either number.
0 of 3 steps revealed.
A student marks the origin line in pen and starts the run with the line below the solvent surface. Predict the outcome.
Try it first: Consider each error separately.
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A dye has Rf = 0.20 in one solvent and 0.65 in a more strongly eluting solvent on the same paper. Does its polarity change?
Try it first: Rf depends on how the dye partitions between phases.
0 of 3 steps revealed.
| Mistake | Why it's wrong | Check instead |
|---|---|---|
| Dividing the solvent distance by the spot distance. | That inverts the ratio and gives values greater than 1. | Confirm your Rf lies between 0 and 1. |
| Reporting Rf with units. | Both distances are lengths, so the units cancel. | Write Rf as a bare decimal. |
| Assuming a high Rf always means a small molecule. | Rf reflects the balance of attractions, not size alone. | Explain Rf by comparing attraction to each phase. |
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After the lesson · Question bank
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Chromatography separates components by competition between a stationary phase and a mobile phase. The retention factor Rf is the distance travelled by the spot divided by the distance travelled by the solvent front. Components with stronger attraction to the mobile phase have higher Rf values.
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