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In this paper, experimental values of nuclear charge radius in database published in 2013 (CR2013 database) have been systematically investigated. We analyzed the relationship between the three neighboring nuclei based on the nuclear charge radius of isotope chain in the database. Then obtained a new nuclear charge radius relation for atomic nuclei:the charge radius of a given nucleus is equal to the average of the charge radii of its two neighboring nuclei. We then calculated the nuclear charge radius by combining the new relation with CR2013 database, the differences between our calculated values and the experimental values in CR2013 database show that the root-mean-squared deviations (RMSD) are small:for nuclei with A ≥ 20 (proton number Z ≥ 10 and neutron number N ≥ 10), the RMSD ≃ 0.00471 fm; for nuclei with A ≥ 54 reaches an accuracy of RMSD ≃ 0.00337 fm. The systematicness of nuclear charge radius in heavy nuclear region is better than in the light nuclei region, which leads to the values are more precise in heavy nucleus region. In the mean time, we also used the odd-even staggering to improve the accuracy of nuclear charge radius, the accuracy is increased by about 6.8%. In addition, we obtained some predictions of nuclear charge radii based on the CR1999 and CR2004 database and the new relation, the differences between our predicted values and experimental values in CR2013 database show that the deviations are small. The differences between our predicted values based on CR2013 database and experimental values (measured in recent years) are small. Our predicted values have good accuracy and compared well with experimental values in CR2013 database. These results show that the study of nuclear charge radius using the proposed new relation is feasible and accurate. The accurate predicted values can provide a valuable reference for future experiments.

New relation for nuclear charge radius based on isotope chain