Atomic Masses from Accurate Measurements ofQValues

Precision measurements have been made of the ground-state $Q$ values of the following nuclear reactions: $\mathrm{D}\mathrm{}(d,p)\mathrm{}\mathrm{T}$, ${\mathrm{C}}^{12}\mathrm{}(d,p)\mathrm{}{\mathrm{C}}^{13}$, $\mathrm{D}({\mathrm{He}}^3,p){\mathrm{He}}^4$, ${\mathrm{B}}^{10}({\mathrm{He}}^3,p){\mathrm{C}}^{12}$, ${\mathrm{Be}}^9({\mathrm{He}}^3,p){\mathrm{B}}^{11}$, ${\mathrm{B}}^{11}({\mathrm{He}}^3,p){\mathrm{C}}^{13}$, ${\mathrm{C}}^{12}({\mathrm{He}}^3,p){\mathrm{N}}^{14}$, ${\mathrm{B}}^{11}({\mathrm{He}}^3,d){\mathrm{C}}^{12}$, ${\mathrm{B}}^{11}(d,\alpha ){\mathrm{Be}}^9$, ${\mathrm{B}}^{10}(d,\alpha ){\mathrm{Be}}^8$, ${\mathrm{Be}}^9\mathrm{}(p,d)\mathrm{}{\mathrm{Be}}^8$, ${\mathrm{Be}}^9(p,\alpha ){\mathrm{Li}}^6$, ${\mathrm{Be}}^9\mathrm{}(d,t)\mathrm{}{\mathrm{Be}}^8$, ${\mathrm{C}}^{13}\mathrm{}(d,t)\mathrm{}{\mathrm{C}}^{12}$, and ${\mathrm{B}}^{10}(\alpha ,p){\mathrm{C}}^{13}$. There were 164 separate measurements made on these reactions. The standard deviations of the mean and a best estimate of error based on estimates of possible systematic errors were calculated. These errors ranged from ±0.2 to ±1.9 keV for the standard deviations and from ±0.6 to ±5.7 keV for the best estimates of error. Analysis of the direct measurements and reaction cycles between the measured reactions yielded best values for the $\mathrm{D}\mathrm{}(d,p)\mathrm{}\mathrm{T}$ and the $\mathrm{D}({\mathrm{He}}^3,p){\mathrm{He}}^4 Q$ values. The best values and the mass excesses of H and D and the T-${\mathrm{He}}^3$ mass difference as found in the 1964 Mass Table were used to calculate the ${\mathrm{He}}^3$, T, and ${\mathrm{He}}^4$ mass excesses. The mass excesses of ${\mathrm{Li}}^6$, ${\mathrm{Be}}^8$, ${\mathrm{Be}}^9$, ${\mathrm{B}}^{10}$, ${\mathrm{B}}^{11}$, ${\mathrm{C}}^{13}$, and ${\mathrm{N}}^{14}$ were then calculated from the $Q$-value measurements. Errors were calculated for these mass excesses based upon the standard deviations of the measured $Q$ values and upon the estimates of possible systematic uncertainties. Analysis of consistency factors indicates that the actual errors lie between these two error estimates. These results constitute the most accurate systematic determination of these masses from $Q$-value data.