Table 1 The input training data of 18 different composition alloys with their chemical composition, reliable UTS and elongation values selected by the “Elongation-Based One-Sigma Repeated Testing Data Selection”, and the number of selected repeated experiments for each alloy

From: Discovering novel lead-free solder alloy by multi-objective Bayesian active learning with experimental uncertainty

Alloy Index

Composition

UTS (MPa)

Elongation (%)

Number of selected samples

P1

\({{\rm{Sn}}}_{94.1}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{0.5}{{\rm{In}}}_{0.8}{{\rm{Ti}}}_{0.1}\)

47.07 ± 1.49

30.31 ± 1.49

5

P2

\({{\rm{Sn}}}_{93.8}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{0.5}{{\rm{In}}}_{0.8}{{\rm{Ti}}}_{0.4}\)

47.12 ± 0.53

29.13 ± 1.93

4

P3

\({{\rm{Sn}}}_{93.1}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{0.5}{{\rm{In}}}_{1.8}{{\rm{Ti}}}_{0.1}\)

52.58 ± 0.91

34.20 ± 2.36

4

P4

\({{\rm{Sn}}}_{92.8}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{0.5}{{\rm{In}}}_{1.8}{{\rm{Ti}}}_{0.4}\)

49.57 ± 0.95

27.70 ± 1.77

4

P5

\({{\rm{Sn}}}_{92.1}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{0.5}{{\rm{In}}}_{2.8}{{\rm{Ti}}}_{0.1}\)

48.03 ± 0.5

29.25 ± 1.94

4

P6

\({{\rm{Sn}}}_{91.8}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{0.5}{{\rm{In}}}_{2.8}{{\rm{Ti}}}_{0.4}\)

49.95 ± 0.88

27.38 ± 1.50

7

P7

\({{\rm{Sn}}}_{92.6}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{2.0}{{\rm{In}}}_{0.8}{{\rm{Ti}}}_{0.1}\)

61.84 ± 0.71

18.87 ± 1.60

5

P8

\({{\rm{Sn}}}_{92.3}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{2.0}{{\rm{In}}}_{0.8}{{\rm{Ti}}}_{0.4}\)

64.75 ± 1.58

19.87 ± 0.65

5

P9

\({{\rm{Sn}}}_{91.6}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{2.0}{{\rm{In}}}_{1.8}{{\rm{Ti}}}_{0.1}\)

61.52 ± 1.54

20.04 ± 1.16

6

P10

\({{\rm{Sn}}}_{91.3}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{2.0}{{\rm{In}}}_{1.8}{{\rm{Ti}}}_{0.4}\)

64.27 ± 0.87

20.93 ± 0.93

5

P11

\({{\rm{Sn}}}_{90.6}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{2.0}{{\rm{In}}}_{2.8}{{\rm{Ti}}}_{0.1}\)

59.29 ± 1.36

17.00 ± 1.26

6

P12

\({{\rm{Sn}}}_{90.3}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{2.0}{{\rm{In}}}_{2.8}{{\rm{Ti}}}_{0.4}\)

63.07 ± 1.99

17.21 ± 1.32

5

P13

\({{\rm{Sn}}}_{91.1}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{3.5}{{\rm{In}}}_{0.8}{{\rm{Ti}}}_{0.1}\)

76.25 ± 1.85

15.87 ± 2.43

6

P14

\({{\rm{Sn}}}_{90.8}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{3.5}{{\rm{In}}}_{0.8}{{\rm{Ti}}}_{0.4}\)

76.47 ± 1.66

15.56 ± 0.86

5

P15

\({{\rm{Sn}}}_{90.1}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{3.5}{{\rm{In}}}_{1.8}{{\rm{Ti}}}_{0.1}\)

71.23 ± 2.44

13.49 ± 0.47

5

P16

\({{\rm{Sn}}}_{89.8}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{3.5}{{\rm{In}}}_{1.8}{{\rm{Ti}}}_{0.4}\)

76.38 ± 2.89

14.40 ± 2.09

6

P17

\({{\rm{Sn}}}_{89.1}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{3.5}{{\rm{In}}}_{2.8}{{\rm{Ti}}}_{0.1}\)

73.63 ± 3.21

15.23 ± 0.89

4

P18

\({{\rm{Sn}}}_{88.2}{{\rm{Ag}}}_{3.8}{{\rm{Cu}}}_{0.7}{{\rm{Bi}}}_{3.5}{{\rm{In}}}_{2.8}{{\rm{Ti}}}_{0.4}\)

75.05 ± 2.57

15.08 ± 1.66

4