Retention Factor Calculator Formula

Understand the math behind the retention factor calculator. Each variable explained with a worked example.

Formulas Used

Retention Factor (k')

k_prime = (tr - t0) / t0

Variables

VariableDescriptionDefault
trRetention Time (tR)(min)8.5
t0Void Time (t0)(min)2

How It Works

Retention Factor (Capacity Factor)

The retention factor k' describes how strongly a compound is retained by the stationary phase relative to the mobile phase.

Formula

k' = (tR - t0) / t0

where tR is the retention time of the analyte and t0 is the void (dead) time. Ideal k' values are 2-10. Below 1, peaks elute near the void and separation is poor. Above 20, peaks are broad and run time is long.

Worked Example

A peak at tR = 8.5 min with void time t0 = 2.0 min.

tr = 8.5t0 = 2
  1. 01k' = (8.5 - 2.0) / 2.0 = 6.5 / 2.0 = 3.25
  2. 02The compound spends 3.25 times more time in the stationary phase than the mobile phase.

Frequently Asked Questions

What is an ideal retention factor?

For most HPLC separations, k' between 2 and 10 gives the best balance of resolution and analysis time. For GC, k' of 5-20 is common.

How is void time measured?

Inject an unretained compound (e.g., uracil for reversed-phase HPLC, or methane for GC). Its retention time is the void time t0.

How does k' relate to resolution?

Resolution increases with k' but with diminishing returns. The factor k'/(1+k') in the resolution equation approaches 1 for large k'. Beyond k' = 10, increasing retention helps little but wastes time.

Ready to run the numbers?

Open Retention Factor Calculator