Isoelectric Point Calculator
Compute isoelectric point using validated scientific equations. See step-by-step derivations, unit analysis, and reference values.
Formula
pI = (pKa1 + pKa2) / 2 (for simple amino acids)
For amino acids without ionizable side chains, pI is the average of the alpha-carboxyl and alpha-amino pKa values. For amino acids with ionizable R groups, pI is the average of the two pKa values flanking the zwitterionic form.
Worked Examples
Example 1: Glycine Isoelectric Point
Problem: Calculate the isoelectric point of glycine, which has pKa1 = 2.34 (carboxyl) and pKa2 = 9.60 (amino). Glycine has no ionizable side chain.
Solution: Since glycine has no ionizable side chain:\npI = (pKa1 + pKa2) / 2\npI = (2.34 + 9.60) / 2\npI = 11.94 / 2 = 5.97\nAt pH 5.97, glycine exists primarily as a zwitterion with net charge of zero.
Result: pI = 5.97 | Zwitterion form: H3N+-CH2-COO-
Example 2: Lysine Isoelectric Point
Problem: Calculate the pI of lysine with pKa1 = 2.18, pKa2 = 8.95, and pKaR = 10.53 (basic side chain amino group).
Solution: Lysine has a basic side chain, so pI is the average of the two highest pKa values:\nSort pKa values: 2.18, 8.95, 10.53\npI = (pKa2 + pKaR) / 2\npI = (8.95 + 10.53) / 2\npI = 19.48 / 2 = 9.74\nAt pH 9.74, lysine carries no net charge.
Result: pI = 9.74 | At pH 7: net charge positive, migrates toward cathode
Frequently Asked Questions
What is the isoelectric point (pI) of an amino acid?
The isoelectric point, commonly abbreviated as pI or IEP, is the pH at which a particular amino acid or protein carries no net electrical charge. At this pH, the positive charges on the molecule exactly balance the negative charges, resulting in a zwitterionic form with zero net charge. For simple amino acids without ionizable side chains, the pI is calculated as the average of the alpha-carboxyl pKa and the alpha-amino pKa values. At pH values below the pI, the molecule carries a net positive charge and migrates toward the cathode in electrophoresis. At pH values above the pI, the molecule carries a net negative charge and migrates toward the anode. The pI is critical for techniques like isoelectric focusing and protein purification.
How is the isoelectric point calculated for amino acids with ionizable side chains?
For amino acids with ionizable side chains such as aspartic acid, glutamic acid, lysine, arginine, histidine, cysteine, and tyrosine, the pI calculation requires considering three pKa values instead of two. The key principle is to identify the two pKa values that flank the zwitterionic form. For acidic amino acids like aspartic acid with pKa values of 2.09, 3.86, and 9.82, the pI is the average of the two lowest values because the zwitterion exists between those two ionizations. For basic amino acids like lysine with pKa values of 2.18, 8.95, and 10.53, the pI is the average of the two highest values. This ensures you are averaging the pKa values on either side of the electrically neutral species.
Why is the isoelectric point important in protein biochemistry?
The isoelectric point has profound practical implications in protein biochemistry and biotechnology. Protein solubility reaches its minimum at the pI because the lack of net charge reduces electrostatic repulsion between molecules, promoting aggregation and precipitation. This principle underlies isoelectric precipitation, a common first step in protein purification. Isoelectric focusing (IEF) separates proteins in a pH gradient based on their pI values, providing extremely high resolution. In two-dimensional gel electrophoresis, IEF forms the first dimension. The pI also affects protein behavior in chromatography, membrane interactions, and formulation stability. Pharmaceutical proteins must be formulated at pH values away from their pI to maintain solubility and prevent aggregation during storage.
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