We report results from a combined analysis of solar neutrino data from all phases of the Sudbury Neutrino Observatory .
By exploiting particle identification information obtained from the proportional counters installed during the third phase , this analysis improved background rejection in that phase of the experiment .
The combined analysis resulted in a total flux of active neutrino flavors from ^ { 8 } { B } decays in the Sun of ( 5.25 \pm 0.16 { ( stat . ) } ^ { +0.11 } _ { -0.13 } { ( syst . ) } ) \times 10 ^ { 6 } { cm ^ { % -2 } s ^ { -1 } } .
A two-flavor neutrino oscillation analysis yielded \Delta m ^ { 2 } _ { 21 } = ( 5.6 ^ { +1.9 } _ { -1.4 } ) \times 10 ^ { -5 } { eV ^ { 2 } } and \tan ^ { 2 } \theta _ { 12 } { } = 0.427 ^ { +0.033 } _ { -0.029 } .
A three-flavor neutrino oscillation analysis combining this result with results of all other solar neutrino experiments and the KamLAND experiment yielded \Delta m ^ { 2 } _ { 21 } = ( 7.41 ^ { +0.21 } _ { -0.19 } ) \times 10 ^ { -5 } { eV ^ { 2 } } , \tan ^ { 2 } \theta _ { 12 } { } = 0.446 ^ { +0.030 } _ { -0.029 } , and \sin ^ { 2 } \theta _ { 13 } { } = ( 2.5 ^ { +1.8 } _ { -1.5 } ) \times 10 ^ { -2 } .
This implied an upper bound of \sin ^ { 2 } \theta _ { 13 } { } < 0.053 at the 95 % confidence level ( C.L .
) .