qPCR Efficiency Calculator

Calculate amplification efficiency from a qPCR standard-curve slope, then interpret whether the assay is inside the practical 90-110% range.

Slope to qPCR efficiency

Formula used
Amplification factor = 10^(-1 / slope)
Efficiency (%) = (Amplification factor - 1) × 100

10-fold Ct spacing at 100% efficiency is 3.322 cycles.

Calculated result

Efficiency
98.84%
Amplification factor
1.988×
Slope
-3.35
10× Ct spacing
3.35 cycles
Report-ready interpretation
qPCR efficiency from standard curve
Slope: -3.35
Amplification factor: 1.988
Efficiency: 98.84%
Intercept: 38.2
Replicates: 3
Expected Ct spacing for 10× dilution: 3.35 cycles
Interpretation: 90–110% is a common reference range, not proof of assay validity. Also inspect R², residuals, melt curve, and assay-specific validation.

qPCR Standard Curve Linear Regression & Slope QC Chart

The x-axis shows the log10 template dilution and the y-axis shows quantification cycle (Ct). With a 10-fold dilution series and ideal amplification, 100% efficiency corresponds to a slope of about −3.322 and a Ct difference of about 3.32 cycles per dilution. A deviation is a reason to review assay conditions, not a diagnosis by itself.

Ct 30Ct 26Ct 22Ct 18Ct 14Quantification Cycle (Ct)10⁰ (Stock)10⁻¹10⁻²10⁻³10⁻⁴Log₁₀ Template Dilution FactorΔCt = 3.32E = 80% (Slope -3.90)Inhibition (Delayed Ct at 10⁰)Ideal Curve (E = 100%, s = -3.32)Low Efficiency (E < 90%)Template Inhibitor Artifact

qPCR Amplification Efficiency Diagnostic Matrix

Slope RangeEfficiency (E)Amp FactorQC VerdictRoot Causes & Action Plan
< −3.58< 90%< 1.90Low EfficiencyAnnealing temperature too high; strong secondary structure; suboptimal primer design; reagents or dNTP degraded.
−3.58 ~ −3.1090% ~ 110%1.90 ~ 2.10Common reference rangeA value from 90–110% is a common reference range, not proof of MIQE compliance. Also review R², residuals, melt curves, and assay-specific validation.
> −3.10> 110%> 2.10Apparent over-efficiencyCo-purified inhibitors in stock template diluting out in lower points, or non-specific primer-dimers artificially elevating signal in high dilutions.
Any SlopeCorrelationR² < 0.985Non-linearSevere serial dilution pipetting inaccuracy, unmixed tubes, bubbles in optical read path, or evaporation from plate edges.

Worked example

If the standard curve slope is -3.35:

Efficiency=(10-1 / -3.35- 1) × 100
Efficiency = (10^(-1 / -3.35) - 1) × 100 = 98.84%; amplification factor = 1.988.

How to interpret the result

90-110% is commonly acceptable for qPCR standard curves.

Below 90% suggests poor amplification, inhibitors, primer issues, or dilution mistakes.

Above 110% is often a warning sign for contamination, non-specific signal, or non-linear curve points.

Why the standard curve quality matters

The slope is only as good as the dilution series behind it. Use at least five dilution points, keep the dilution factor consistent, and inspect whether low-template points are still linear before trusting the efficiency.

Expected Ct spacing=log10(dilution factor)log10(amplification factor)

Related next steps

Need to prepare the dilution series after deciding copy number targets?

Assay check

This page is scoped to slope-based qPCR efficiency and standard-curve interpretation. Use a separate plate map when you need to document well positions, replicates, and controls.