circular citation area radius
The circular citation area radius (Sangwal 2012) is an easy to calculate approximation of the h-index.
$$r=\sqrt{\frac{C^P}{\pi}}=\sqrt{\frac{\sum\limits_{i=1}^{P}{C_i}}{\pi}}$$History
Year | r |
---|---|
1997 | 0.7979 |
1998 | 2.1110 |
1999 | 3.7424 |
2000 | 4.9828 |
2001 | 6.6994 |
2002 | 8.9917 |
2003 | 11.2414 |
2004 | 14.2171 |
2005 | 17.2240 |
2006 | 20.6758 |
2007 | 23.8700 |
2008 | 26.7559 |
2009 | 29.5702 |
2010 | 32.6305 |
2011 | 35.9092 |
2012 | 38.8677 |
2013 | 41.8756 |
2014 | 44.5067 |
2015 | 47.0244 |
2016 | 49.4302 |
2017 | 51.4527 |
2018 | 53.5029 |
2019 | 55.4314 |
2020 | 57.3312 |
2021 | 59.3097 |
2022 | 61.1697 |
2023 | 62.7697 |
2024 | 63.0177 |
References
- Sangwal, K. (2012) On the relationship between citations of publication output and Hirsch index h of authors: Conceptualization of tapered Hirsch index hT, circular citation area radius R and ciation acceleration a. Scientometrics 93:987–1004.