Calculate h-index, M-index, or years since the first published paper from the other two research metrics for a researcher in academia.
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M-Index Formula
The m-index is the h-index divided by the number of years since the researcher’s first published paper. It is used to compare citation impact while adjusting for career length.
Rearranged formulas used by the calculator:
- M = m-index
- h = h-index
- Y = number of years since the first published paper
The calculator can solve for any one missing value when you enter the other two values.
- To calculate m-index: enter the h-index and the number of years.
- To calculate h-index: enter the m-index and the number of years.
- To calculate years since first publication: enter the h-index and the m-index.
Common M-Index Interpretation Ranges
These ranges are general guidelines. Citation patterns vary by field, publication type, and career stage.
| M-Index | General Interpretation |
|---|---|
| Below 0.5 | Lower citation growth relative to career length |
| 0.5 to 1.0 | Moderate citation growth |
| 1.0 to 2.0 | Strong citation growth |
| Above 2.0 | Very high citation growth, often seen in highly cited researchers |
Example M-Index Calculations
Example 1: Calculate m-index
A researcher has an h-index of 24. Their first paper was published 12 years ago.
The m-index is 2.0000.
Example 2: Calculate h-index
A researcher has an m-index of 1.5 and has been publishing for 10 years.
The h-index is 15.0000.
M-Index Calculator FAQ
What is the difference between h-index and m-index?
The h-index measures citation impact using both publication count and citation count. The m-index adjusts the h-index by dividing it by the number of years since the first publication. This makes it easier to compare researchers with different career lengths.
What year should I use for the first published paper?
Use the year of the researcher’s first published scholarly paper. Then count the number of years from that year to the current year. For example, if the first paper was published in 2016 and the current year is 2026, use 10 years.
Can the m-index be zero?
Yes. If the h-index is 0, the m-index is also 0. A zero m-index means the researcher does not yet have papers meeting the h-index citation threshold. The number of years must still be greater than zero when calculating m-index.
