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Degree of Labeling (DOL) Calculator: Fluorescent Labeling Stoichiometry for Antibodies and Proteins

Calculate DOL (F/P ratio) and protein concentration from A₂₈₀ and dye absorbance; built-in constants for FITC, Alexa Fluor 488/555/647, Cy3/Cy5 with 280 nm dye correction.

What is Degree of Labeling (DOL)?

Degree of Labeling (DOL), also called Fluorophore-to-Protein ratio (F/P ratio), is the average number of fluorescent dye molecules covalently attached per protein molecule. It is the key quality parameter for fluorescently labeled antibodies or proteins: a DOL that is too low (<2) gives weak fluorescence signal and insufficient sensitivity; a DOL that is too high (>10) causes fluorophores to quench each other (self-quenching) — brightness actually decreases — and dense labeling can also interfere with antigen binding.

Formula Derivation

After covalent labeling and removal of free dye by gel filtration or dialysis, record a UV-Vis scan of the purified product and read absorbances at two wavelengths:

Key issue: Most organic dyes also absorb at 280 nm. Without correction, protein concentration is overestimated and DOL is underestimated.

Correction factor CF₂₈₀ is an intrinsic spectral property of the dye, measured by the manufacturer and given in the product datasheet:

CF₂₈₀ = A₂₈₀_pure_dye / A_λmax_pure_dye

Subtracting the dye contribution at 280 nm gives the protein absorbance alone:

A₂₈₀_protein = A₂₈₀ − A_dye × CF₂₈₀

Applying Beer-Lambert law to each species (path length l cm, default 1 cm):

c_protein (M) = A₂₈₀_protein / (ε_protein × l)
c_dye     (M) = A_dye        / (ε_dye     × l)

Dividing, path length l cancels, giving the final formula:

DOL = c_dye / c_protein
    = (A_dye × ε_protein) / (ε_dye × (A₂₈₀ − A_dye × CF₂₈₀))

Protein mass concentration (mg/mL) = c_protein (M) × MW (Da) × 10⁻³.

Built-in Constants and Sources

Dye λmax (nm) ε_dye (M⁻¹cm⁻¹) CF₂₈₀ Source
FITC 495 73,000 0.35 Thermo Fisher APEX labeling kit manual
Alexa Fluor 488 495 73,000 0.11 Manufacturer’s published value is 71,000–73,000; this tool uses 73,000
Alexa Fluor 555 555 150,000 0.08 Thermo Fisher AF555 product page
Alexa Fluor 647 650 239,000 0.03 Thermo Fisher AF647 product page
Cy3 550 150,000 0.08 Cytiva Cy3 NHS ester product manual
Cy5 649 250,000 0.05 Cytiva Cy5 NHS ester product manual

Built-in protein ε₂₈₀ values: IgG 210,000 M⁻¹cm⁻¹ (value commonly used in Thermo Fisher labeling kit protocols, MW 150,000 Da); BSA 43,824 M⁻¹cm⁻¹ (ExPASy ProtParam, MW 66,463 Da); Streptavidin tetramer 167,200 M⁻¹cm⁻¹ (monomer ε₂₈₀ ≈ 41,800, tetramer taken as 4×; equivalent to E₁% ≈ 3.2 mL·mg⁻¹·cm⁻¹, MW 52,800 Da).

Applicable Range

Worked Example

FITC-labeled IgG, path length 1 cm, A₂₈₀ = 0.72, A₄₉₅ = 0.81:

A₂₈₀_protein = 0.72 − 0.81 × 0.35 = 0.4365
c_protein     = 0.4365 / 210,000   = 2.079 × 10⁻⁶ M (≈ 0.312 mg/mL)
c_dye         = 0.81  / 73,000    = 1.110 × 10⁻⁵ M
DOL           = 1.110×10⁻⁵ / 2.079×10⁻⁶ ≈ 5.3

DOL ≈ 5.3, within the typical acceptable range for FITC-IgG (3–8).

Common Errors

Omitting the CF₂₈₀ correction: Using A₂₈₀ = 0.72 directly as the protein absorbance overestimates c_protein from 2.08 µM to 3.43 µM, and underestimates DOL from 5.3 to 3.2 — one missing subtraction produces a twofold error.

Confusing specific extinction coefficient (E₁%) with molar extinction coefficient (ε_molar): They differ by a molecular weight factor (ε_molar = E₁% × MW / 10), with units mL·mg⁻¹·cm⁻¹ and M⁻¹cm⁻¹ respectively; mixing them up causes order-of-magnitude errors.

Unverified path length: NanoDrop and similar micro-UV instruments normalize readings to a 1 cm equivalent — no path length correction is needed. When using a micro quartz cuvette (0.1 cm), you must enter the actual path length; otherwise results are off by a factor of 10.

FAQ

What is an acceptable DOL?

For IgG labeled with small-molecule NHS ester dyes (FITC, Alexa Fluor series), a DOL of 3–8 is typical. Too low (<2) gives insufficient signal; too high (>10) causes self-quenching between fluorophores — brightness actually decreases — and dense labeling can interfere with antigen binding. Optimal thresholds vary by dye and application; follow the manufacturer's protocol.

Why correct for dye absorbance at 280 nm?

Most organic dyes have significant absorbance at 280 nm. For FITC, CF₂₈₀ = 0.35; with a dye peak A₄₉₅ = 0.81, the dye contributes approximately 0.28 to the 280 nm reading. Without correction, protein concentration is overestimated and DOL is underestimated by more than twofold.

Which fluorescent labels are not supported?

Not applicable to fluorescent proteins such as R-phycoerythrin (PE) or allophycocyanin (APC) — their 280 nm extinction coefficients arise from protein-bound chromophore groups and cannot be handled with a single-peak correction — nor to quantum dots (no single molar extinction coefficient). Consult the manufacturer's specific conversion factors for these labels.

How do I get ε₂₈₀ for a custom protein?

Use the Protein Parameter Calculator on this site to compute the molar extinction coefficient from the amino acid sequence (Pace formula), or look up ExPASy ProtParam. Enter the resulting ε₂₈₀ (M⁻¹cm⁻¹) and molecular weight (Da) into the custom fields.

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