Citation Count Estimator
Estimate citation counts and academic impact scores.
Calculate h-index potential, citations per year, and research impact benchmarks.
Academic citations are how scientific and scholarly work builds upon itself. When researchers reference previous studies in their papers, those references are counted as citations — a measure of how influential a piece of work has been. Citation metrics are widely used to evaluate researchers, journals, and institutions.
The h-index
The h-index, proposed by physicist Jorge Hirsch in 2005, is the most widely used single-number measure of a researcher’s impact. A researcher has an h-index of h if they have at least h papers that have each been cited at least h times.
Example: If you have 10 papers with at least 10 citations each, your h-index is at least 10.
h-index Benchmarks
| Career Stage | Typical h-index |
|---|---|
| New PhD graduate | 0–2 |
| Junior faculty (5 yrs) | 3–8 |
| Mid-career researcher | 8–20 |
| Senior researcher | 15–30 |
| Distinguished scientist | 30–60 |
| Nobel laureate | 50–100+ |
Note: h-index varies considerably by field. Computer science and biology tend to have higher h-indices than mathematics or humanities.
Citations Per Paper by Field
| Field | Average Citations Per Paper |
|---|---|
| Physics | ~15–25 |
| Biology / Life Science | ~20–40 |
| Chemistry | ~15–25 |
| Mathematics | ~5–12 |
| Computer Science | ~10–20 |
| Social Sciences | ~8–18 |
| Humanities | ~2–8 |
Impact Factor
Journal Impact Factor (IF) = (Citations in year N to articles in years N-1 and N-2) ÷ (Citable articles published in N-1 and N-2)
Estimating h-index from Total Citations
Hirsch’s own paper observes that a researcher’s total citations tend to scale with the square of their h-index: N ≈ a × h², with a usually falling between 3 and 5. Turn that around and h ≈ √(N / a), which puts the estimate somewhere between √(0.20 × N) and √(0.33 × N) depending on how concentrated the citations are.
This calculator uses h ≈ √(0.25 × N), the midpoint of that range, which is the same as assuming a = 4.
Treat the answer as an order of magnitude and nothing more. The estimate assumes citations are spread across your papers in a fairly typical way, and it breaks down badly when they are not. One paper carrying 2,000 citations while nine others have three each gives a large N and an h-index of about 4. Only the per-paper counts give the real figure.
Tools for Real Citation Data
For actual citation data, use:
- Google Scholar (free, broad coverage)
- Web of Science (institutional subscription)
- Scopus (institutional subscription)
- Semantic Scholar (free, AI-powered)
How we build and check this calculator
This calculator runs entirely in your browser, so the numbers you enter stay on your device. The math behind it is written by hand and tested against worked examples and standard references before the page goes live.
SuperGlobalCalculator is independently built and maintained. See how we build and verify our calculators.