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\item[Background] Temperature is an important parameter in studying manyimportant questions in heavy-ion collisions. A thermometer based on theisobaric yield ratio (IYR) has been proposed [Ma \textit{et al.}, Phys. Rev. C\textbf{86}, 054611 (2012) and Ma \textit{et al.}, \textit{ibid.}, Phys. Rev. C\textbf{88}, 014609 (2013)]. \item[Purpose] An improved thermometer ($T_{IB}$)is proposed based on the difference between IYRs. $T_{IB}$ obtained fromisobars in different reactions will be compared. \item[Methods] The yields ofthree isobars are employed in $T_{IB}$. The residual free energy of the threeisobars are replaced by that of the binding energy. No secondary decaymodification for odd $A$ fragment is used in $T_{IB}$. \item[Results] Themeasured fragment yields in the 140$A$ MeV $^{40, 48}$Ca + $^{9}$Be($^{181}$Ta) and $^{58, 64}$Ni + $^9$Be ($^{181}$Ta), the 1$A$ GeV $^{124,136}$Xe + Pb, and the $^{112,124}$Sn + $^{112,124}$Sn reactions have beenanalyzed to obtain $T_{IB}$ from IMFs. $T_{IB}$ from most of the fragments inthe $^{40, 48}$Ca and $^{58, 64}$Ni reactions is in the range of 0.6 MeV $ <T_{IB} < $ 3.5 MeV. $T_{IB}$ from most of the fragments in the $^{124}$Xe and$^{112,124}$Sn reactions is in the range of 0.5 MeV $ < T_{IB} < $ 2.5 MeV,while the range is 0.5 MeV $ < T_{IB} <$ 4 MeV from most of the fragments inthe $^{136}$Xe reaction. In general, for most of the fragments $T_{IB}$ in the$^{40, 48}$Ca and $^{58, 64}$Ni reactions are very similar (except in the veryneutron-rich fragments), and $T_{IB}$ from IMFs in the $^{124, 136}$Xe and$^{112,124}$Sn reactions is also similar. A slightly dependence of $T_{IB}$ on$A$ is found. \item[Conclusions] Using the binding energy of the nucleus,$T_{IB}$ can be obtained without the knowledge of the free energies offragments. In the investigated reactions, $T_{IB}$ from most of the IMFs islow.

Improved Thermometer from Intermediate Mass Fragments in Heavy-Ion Collisions with Isobaric Yield Ratio Difference