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Mirror Nuclei

Properties and list.

mirror nuclei

In atomic physics, pairs of two atomic nuclei of different elements are called mirror nuclei if they have inverse numbers of neutrons N and protons Z with the same mass number A.

A pair of mirror partners consisting of the atomic nuclei E and X is therefore given if the following condition is fulfilled:

ZE = NX and ZX = NE.

In addition, the following conditions apply: AE = AX as well as ZE ≠ ZX.

 

Pairs of Mirror Nuclei

The table below lists the mirror core pairs; The sorting is done by mass number A and Atomic number Z, so that each pair only appears once. In addition, the neutron numbers N and the nuclear spin are given.

APairZNSpinNotes
3Hydrogen-3
Helium-3
1
2
2
1
1/2+
1/2+
4Hydrogen-4
Lithium-4
1
3
3
1
2-
2-
5Hydrogen-5
Beryllium-5
1
4
4
1
(1/2+)
(1/2+)
6Hydrogen-6
Boron-6
1
5
5
1
(2-)
(2-)
5Helium-5
Lithium-5
2
3
3
2
3/2-
3/2-
6Helium-6
Beryllium-6
2
4
4
2
0+
0+
7Helium-7
Boron-7
2
5
5
2
(3/2)-
(3/2-)
8Helium-8
Carbon-8
2
6
6
2
0+
0+
7Lithium-7
Beryllium-7
3
4
4
3
3/2-
3/2-
8Lithium-8
Boron-8
3
5
5
3
2+
2+
9Lithium-9
Carbon-9
3
6
6
3
3/2-
3/2-
10Lithium-10
Nitrogen-10
3
7
7
3
(1-,2-)
(1-)
11Lithium-11
Oxygen-11
3
8
8
3
3/2-
(3/2-)
9Beryllium-9
Boron-9
4
5
5
4
3/2-
3/2-
10Beryllium-10
Carbon-10
4
6
6
4
0+
0+
11Beryllium-11
Nitrogen-11
4
7
7
4
1/2+
1/2+
12Beryllium-12
Oxygen-12
4
8
8
4
0+
0+
13Beryllium-13
Fluorine-13
4
9
9
4
5/2+
1/2-
11Boron-11
Carbon-11
5
6
6
5
3/2-
3/2-
12Boron-12
Nitrogen-12
5
7
7
5
1+
1+
13Boron-13
Oxygen-13
5
8
8
5
3/2-
(3/2-)
14Boron-14
Fluorine-14
5
9
9
5
2-
2-
15Boron-15
Neon-15
5
10
10
5
3/2-
(3/2-)
13Carbon-13
Nitrogen-13
6
7
7
6
1/2-
1/2-
14Carbon-14
Oxygen-14
6
8
8
6
0+
0+
15Carbon-15
Fluorine-15
6
9
9
6
1/2+
1/2+
16Carbon-16
Neon-16
6
10
10
6
0+
0+
15Nitrogen-15
Oxygen-15
7
8
8
7
1/2-
1/2-
16Nitrogen-16
Fluorine-16
7
9
9
7
2-
0-
17Nitrogen-17
Neon-17
7
10
10
7
1/2-
1/2-
18Nitrogen-18
Sodium-18
7
11
11
7
1-
(1-)
19Nitrogen-19
Magnesium-19
7
12
12
7
1/2-
1/2-
17Oxygen-17
Fluorine-17
8
9
9
8
5/2+
5/2+
18Oxygen-18
Neon-18
8
10
10
8
0+
0+
19Oxygen-19
Sodium-19
8
11
11
8
5/2+
(5/2+)
20Oxygen-20
Magnesium-20
8
12
12
8
0+
0+
21Oxygen-21
Aluminium-21
8
13
13
8
(5/2+)
(5/2+)
22Oxygen-22
Silicon-22
8
14
14
8
0+
0+
19Fluorine-19
Neon-19
9
10
10
9
1/2+
1/2+
20Fluorine-20
Sodium-20
9
11
11
9
2+
2+
21Fluorine-21
Magnesium-21
9
12
12
9
5/2+
5/2+
22Fluorine-22
Aluminium-22
9
13
13
9
(4+)
(4)+
23Fluorine-23
Silicon-23
9
14
14
9
5/2+
(5/2)+
24Fluorine-24
Phosphorus-24
9
15
15
9
(3+)
(1+)
21Neon-21
Sodium-21
10
11
11
10
3/2+
3/2+
22Neon-22
Magnesium-22
10
12
12
10
0+
0+
23Neon-23
Aluminium-23
10
13
13
10
5/2+
5/2+
24Neon-24
Silicon-24
10
14
14
10
0+
0+
25Neon-25
Phosphorus-25
10
15
15
10
1/2+
(1/2+)
26Neon-26
Sulfur-26
10
16
16
10
0+
0+
23Sodium-23
Magnesium-23
11
12
12
11
3/2+
3/2+
24Sodium-24
Aluminium-24
11
13
13
11
4+
4+
25Sodium-25
Silicon-25
11
14
14
11
5/2+
5/2+
26Sodium-26
Phosphorus-26
11
15
15
11
3+
(3)+
27Sodium-27
Sulfur-27
11
16
16
11
5/2+
(5/2+)
28Sodium-28
Chlorine-28
11
17
17
11
1+
1+
25Magnesium-25
Aluminium-25
12
13
13
12
5/2+
5/2+
26Magnesium-26
Silicon-26
12
14
14
12
0+
0+
27Magnesium-27
Phosphorus-27
12
15
15
12
1/2+
1/2+
28Magnesium-28
Sulfur-28
12
16
16
12
0+
0+
29Magnesium-29
Chlorine-29
12
17
17
12
3/2+
(1/2+)
30Magnesium-30
Argon-30
12
18
18
12
0+
0+
27Aluminium-27
Silicon-27
13
14
14
13
5/2+
5/2+
28Aluminium-28
Phosphorus-28
13
15
15
13
3+
3+
29Aluminium-29
Sulfur-29
13
16
16
13
5/2+
(5/2+)
30Aluminium-30
Chlorine-30
13
17
17
13
3+
(3+)
31Aluminium-31
Argon-31
13
18
18
13
5/2(+)
5/2+
32Aluminium-32
Potassium-32
13
19
19
13
1+
29Silicon-29
Phosphorus-29
14
15
15
14
1/2+
1/2+
30Silicon-30
Sulfur-30
14
16
16
14
0+
0+
31Silicon-31
Chlorine-31
14
17
17
14
3/2+
3/2+
32Silicon-32
Argon-32
14
18
18
14
0+
0+
33Silicon-33
Potassium-33
14
19
19
14
3/2+
3/2+
34Silicon-34
Calcium-34
14
20
20
14
0+
0+
31Phosphorus-31
Sulfur-31
15
16
16
15
1/2+
1/2+
32Phosphorus-32
Chlorine-32
15
17
17
15
1+
1+
33Phosphorus-33
Argon-33
15
18
18
15
1/2+
1/2+
34Phosphorus-34
Potassium-34
15
19
19
15
1+
(1+)
35Phosphorus-35
Calcium-35
15
20
20
15
1/2+
(1/2+)
36Phosphorus-36
Scandium-36
15
21
21
15
4-
33Sulfur-33
Chlorine-33
16
17
17
16
3/2+
3/2+
34Sulfur-34
Argon-34
16
18
18
16
0+
0+
35Sulfur-35
Potassium-35
16
19
19
16
3/2+
(3/2)+
36Sulfur-36
Calcium-36
16
20
20
16
0+
0+
37Sulfur-37
Scandium-37
16
21
21
16
7/2-
7/2
38Sulfur-38
Titanium-38
16
22
22
16
0+
0+
35Chlorine-35
Argon-35
17
18
18
17
3/2+
3/2+
36Chlorine-36
Potassium-36
17
19
19
17
2+
2+
37Chlorine-37
Calcium-37
17
20
20
17
3/2+
(3/2+)
38Chlorine-38
Scandium-38
17
21
21
17
2-
(2-)
39Chlorine-39
Titanium-39
17
22
22
17
3/2+
(3/2+)
40Chlorine-40
Vanadium-40
17
23
23
17
2-
2-
41Chlorine-41
Chromium-41
17
24
24
17
(1/2+)
42Chlorine-42
Manganese-42
17
25
25
17
(2-)
37Argon-37
Potassium-37
18
19
19
18
3/2+
3/2+
38Argon-38
Calcium-38
18
20
20
18
0+
0+
39Argon-39
Scandium-39
18
21
21
18
7/2-
(7/2-)
40Argon-40
Titanium-40
18
22
22
18
0+
0+
41Argon-41
Vanadium-41
18
23
23
18
7/2-
7/2-
42Argon-42
Chromium-42
18
24
24
18
0+
0+
43Argon-43
Manganese-43
18
25
25
18
5/2(-)
39Potassium-39
Calcium-39
19
20
20
19
3/2+
3/2+
40Potassium-40
Scandium-40
19
21
21
19
4-
4-
41Potassium-41
Titanium-41
19
22
22
19
3/2+
3/2+
42Potassium-42
Vanadium-42
19
23
23
19
2-
2-~
43Potassium-43
Chromium-43
19
24
24
19
3/2+
(3/2+)
44Potassium-44
Manganese-44
19
25
25
19
2-
(2-)~
45Potassium-45
Iron-45
19
26
26
19
3/2+
(3/2+)
46Potassium-46
Cobalt-46
19
27
27
19
(2-)
41Calcium-41
Scandium-41
20
21
21
20
7/2-
7/2-
42Calcium-42
Titanium-42
20
22
22
20
0+
0+
43Calcium-43
Vanadium-43
20
23
23
20
7/2-
(7/2-)
44Calcium-44
Chromium-44
20
24
24
20
0+
0+
45Calcium-45
Manganese-45
20
25
25
20
7/2-
(7/2-)~
46Calcium-46
Iron-46
20
26
26
20
0+
0+
47Calcium-47
Cobalt-47
20
27
27
20
7/2-
7/2-~
48Calcium-48
Nickel-48
20
28
28
20
0+
0+
43Scandium-43
Titanium-43
21
22
22
21
7/2-
7/2-
44Scandium-44
Vanadium-44
21
23
23
21
2+
(2)+
45Scandium-45
Chromium-45
21
24
24
21
7/2-
(7/2-)
46Scandium-46
Manganese-46
21
25
25
21
4+
(4+)
47Scandium-47
Iron-47
21
26
26
21
7/2-
(7/2-)
48Scandium-48
Cobalt-48
21
27
27
21
6+
6+~
49Scandium-49
Nickel-49
21
28
28
21
7/2-
(7/2-)~
45Titanium-45
Vanadium-45
22
23
23
22
7/2-
7/2-
46Titanium-46
Chromium-46
22
24
24
22
0+
0+
47Titanium-47
Manganese-47
22
25
25
22
5/2-
(5/2-)
48Titanium-48
Iron-48
22
26
26
22
0+
0+
49Titanium-49
Cobalt-49
22
27
27
22
7/2-
7/2-~
50Titanium-50
Nickel-50
22
28
28
22
0+
0+
47Vanadium-47
Chromium-47
23
24
24
23
3/2-
3/2-
48Vanadium-48
Manganese-48
23
25
25
23
4+
4+
49Vanadium-49
Iron-49
23
26
26
23
7/2-
(7/2-)
50Vanadium-50
Cobalt-50
23
27
27
23
6+
(6+)
51Vanadium-51
Nickel-51
23
28
28
23
7/2-
(7/2-)
49Chromium-49
Manganese-49
24
25
25
24
5/2-
5/2-
50Chromium-50
Iron-50
24
26
26
24
0+
0+
51Chromium-51
Cobalt-51
24
27
27
24
7/2-
7/2-
52Chromium-52
Nickel-52
24
28
28
24
0+
0+
53Chromium-53
Copper-53
24
29
29
24
3/2-
(3/2-)
54Chromium-54
Zinc-54
24
30
30
24
0+
0+
51Manganese-51
Iron-51
25
26
26
25
5/2-
5/2-
52Manganese-52
Cobalt-52
25
27
27
25
6+
(6+)
53Manganese-53
Nickel-53
25
28
28
25
7/2-
(7/2-)
54Manganese-54
Copper-54
25
29
29
25
3+
3+
55Manganese-55
Zinc-55
25
30
30
25
5/2-
5/2-
53Iron-53
Cobalt-53
26
27
27
26
7/2-
(7/2-)
54Iron-54
Nickel-54
26
28
28
26
0+
0+
55Iron-55
Copper-55
26
29
29
26
3/2-
3/2-
56Iron-56
Zinc-56
26
30
30
26
0+
0+
55Cobalt-55
Nickel-55
27
28
28
27
7/2-
7/2-
56Cobalt-56
Copper-56
27
29
29
27
4+
(4+)
57Cobalt-57
Zinc-57
27
30
30
27
7/2-
(7/2-)
58Cobalt-58
Gallium-58
27
31
31
27
2+
59Cobalt-59
Germanium-59
27
32
32
27
7/2-
7/2-
57Nickel-57
Copper-57
28
29
29
28
3/2-
3/2-
58Nickel-58
Zinc-58
28
30
30
28
0+
0+
59Nickel-59
Gallium-59
28
31
31
28
3/2-
3/2-~
60Nickel-60
Germanium-60
28
32
32
28
0+
0+
59Copper-59
Zinc-59
29
30
30
29
3/2-
3/2-
60Copper-60
Gallium-60
29
31
31
29
2+
(2+)
61Copper-61
Germanium-61
29
32
32
29
3/2-
(3/2-)
62Copper-62
Arsenic-62
29
33
33
29
1+
1+
63Copper-63
Selenium-63
29
34
34
29
3/2-
61Zinc-61
Gallium-61
30
31
31
30
3/2-
3/2-
62Zinc-62
Germanium-62
30
32
32
30
0+
0+
63Zinc-63
Arsenic-63
30
33
33
30
3/2-
3/2-
64Zinc-64
Selenium-64
30
34
34
30
0+
0+
63Gallium-63
Germanium-63
31
32
32
31
3/2-
3/2-
64Gallium-64
Arsenic-64
31
33
33
31
0+
0+
65Gallium-65
Selenium-65
31
34
34
31
3/2-
(3/2-)
66Gallium-66
Bromine-66
31
35
35
31
0+
67Gallium-67
Krypton-67
31
36
36
31
3/2-
65Germanium-65
Arsenic-65
32
33
33
32
3/2-
3/2-
66Germanium-66
Selenium-66
32
34
34
32
0+
0+
67Germanium-67
Bromine-67
32
35
35
32
1/2-
68Germanium-68
Krypton-68
32
36
36
32
0+
0+
67Arsenic-67
Selenium-67
33
34
34
33
(5/2-)
68Arsenic-68
Bromine-68
33
35
35
33
3+
3+
69Arsenic-69
Krypton-69
33
36
36
33
5/2-
(5/2-)
69Selenium-69
Bromine-69
34
35
35
34
1/2-
(5/2-)
70Selenium-70
Krypton-70
34
36
36
34
0+
0+
71Selenium-71
Rubidium-71
34
37
37
34
(5/2-)
5/2-~
71Bromine-71
Krypton-71
35
36
36
35
(5/2)-
(5/2-)
72Bromine-72
Rubidium-72
35
37
37
35
1+
3+~
73Bromine-73
Strontium-73
35
38
38
35
1/2-
5/2-
73Krypton-73
Rubidium-73
36
37
37
36
(3/2)-
(3/2-)
74Krypton-74
Strontium-74
36
38
38
36
0+
0+
75Rubidium-75
Strontium-75
37
38
38
37
3/2(-)
(3/2-)
76Rubidium-76
Yttrium-76
37
39
39
37
1(-)
77Rubidium-77
Zirconium-77
37
40
40
37
3/2-
77Strontium-77
Yttrium-77
38
39
39
38
5/2(+)
(5/2+)
78Strontium-78
Zirconium-78
38
40
40
38
0+
0+
79Yttrium-79
Zirconium-79
39
40
40
39
(5/2+)
81Yttrium-81
Molybdenum-81
39
42
42
39
(5/2+)
81Zirconium-81
Niobium-81
40
41
41
40
(3/2-)
82Zirconium-82
Molybdenum-82
40
42
42
40
0+
0+
83Niobium-83
Molybdenum-83
41
42
42
41
(5/2+)
85Niobium-85
Ruthenium-85
41
44
44
41
(9/2+)
85Molybdenum-85
Technetium-85
42
43
43
42
(1/2-)
86Molybdenum-86
Ruthenium-86
42
44
44
42
0+
0+
87Technetium-87
Ruthenium-87
43
44
44
43
(9/2+)
89Ruthenium-89
Rhodium-89
44
45
45
44
(9/2+)
7/2+
90Ruthenium-90
Palladium-90
44
46
46
44
0+
0+
91Rhodium-91
Palladium-91
45
46
46
45
(9/2+)
92Rhodium-92
Silver-92
45
47
47
45
(6+)
93Palladium-93
Silver-93
46
47
47
46
(9/2+)
94Palladium-94
Cadmium-94
46
48
48
46
0+
0+
95Silver-95
Cadmium-95
47
48
48
47
(9/2+)
96Silver-96
Indium-96
47
49
49
47
(8)+
97Cadmium-97
Indium-97
48
49
49
48
(9/2+)
(9/2+)
99Indium-99
Tin-99
49
50
50
49

 

References:

[1] - Y. Y. Zong, C. Ma, Y. M. Zhao, A. Arima:
Mass relations of mirror nuclei.
Physical Review C, (2020), DOI 10.1103/PhysRevC.102.024302.

[2] - Paul-Gerhard Reinhard and Witold Nazarewicz:
Information content of the differences in the charge radii of mirror nuclei.
Physical Review C, (2022), DOI 10.1103/PhysRevC.105.L021301.

[3] - S. J. Novario, D. Lonardoni, S. Gandolfi, G. Hagen:
Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles.
Physical Review Letters, (2023), DOI 10.1103/PhysRevLett.130.032501.

 


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Last update: 2023-12-01


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