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We calculate the two-point correlation function using the interpolating current with JPC=2−. After performing the Borel sum rule analysis, the extracted masses of the 2−− tensor charmonium and bottomonium are 3.97±0.25 GeV and 10.13±0.34 GeV respectively. For comparison, we also perform the moment sum rule analysis for the charmonium and bottomonium systems. We extend the same analysis to study the q¯q,q¯s,s¯s,q¯c,s¯c,q¯b,s¯b and c¯b systems. Their masses are 1.78±0.12,1.85±0.14,2.00±0.16,2.86±0.14,3.01±0.21,5.66±0.33,6.40±0.25, and 7.08±0.34 GeV respectively.