Home Back

Number of Theoretical Plates given Retention Time and Width of Peak Calculator

Formula:

\[ N = \frac{16 \times (t_r)^2}{(w)^2} \]

s
s

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Number of Theoretical Plates?

Definition: The Number of Theoretical Plates is a measure of column efficiency in chromatography, where higher numbers indicate better separation efficiency.

Purpose: It helps chromatographers evaluate and compare the performance of different columns or separation conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ N = \frac{16 \times (t_r)^2}{(w)^2} \]

Where:

Explanation: The formula relates the retention time and peak width to calculate the efficiency of the chromatographic system.

3. Importance of Theoretical Plates

Details: Higher plate numbers indicate better column efficiency, leading to sharper peaks and better resolution between components.

4. Using the Calculator

Tips: Enter the retention time and peak width (both in seconds) from your chromatogram. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a good number of theoretical plates?
A: It varies by application, but generally higher is better. For HPLC, 10,000-20,000 plates per column is common.

Q2: How do I measure peak width?
A: Measure the distance between the points where the peak intersects the baseline (in time units).

Q3: Does this formula work for all chromatography types?
A: Yes, it's applicable to GC, HPLC, and other chromatographic techniques.

Q4: Why is 16 in the numerator?
A: The factor 16 comes from the statistical definition of peak width (4σ covers ~95% of Gaussian peak area).

Q5: Can I compare plates between different columns?
A: Yes, but also consider column length (plates per meter is a more fair comparison).

Number of Theoretical Plates Calculator© - All Rights Reserved 2025