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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-
20Nitrogen-20
Aluminium-20		7
13		13
7		(2-)
(1-)
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+)
98Cadmium-98
Tin-98		48
50		50
48		0+
 
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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