Erbium-167

Properties and data of the isotope ¹⁶⁷Er.

Contents

General data

Name of the isotope:Erbium-167; Er-167Symbol:¹⁶⁷Er or 16768ErMass number A:167 (= number of nucleons)Atomic number Z:68 (= number of protons)Neutrons N:99Isotopic mass:166.93205(2) u (atomic weight of Erbium-167)Nuclide mass:166.8947499 u (calculated nuclear mass without electrons)Mass excess:-63.29502 MeVMass defect:1.45787886 u (per nucleus)Nuclear binding energy:1358.00541082 MeV (per nucleus)
8.13176893 MeV (average binding energy per nucleon)Separation energy:S_N = 6.43646(18) MeV (first neutron)
S_P = 7.5088(9) MeV (first proton)Half-life:stableSpin and parity:
(nuclear angular momentum)7/2+Magnetic dipole moment:μ(μ_N) = - 0.56385(12)Charge radius:5.2560(31) femtometer fmYear of discovery:1934

Parent Nuclides

Direct parent isotopes are: ¹⁶⁷Tm, ¹⁶⁷Ho.

Occurrence

Comparison of the natural Erbium isotopes including isotopic abundance (mole fraction of the isotope mixture in percent):

	Atomic Mass m_a	Quantity	Half-life	Spin
Erbium Isotopic mixture	167.259 u	100 %
Isotope ¹⁶²Er	161.92879(2) u	0.139(5) %	stable	0+
Isotope ¹⁶⁴Er	163.92921(2) u	1.601(3) %	stable	0+
Isotope ¹⁶⁶Er	165.93030(2) u	33.503(36) %	stable	0+
Isotope ¹⁶⁷Er	166.93205(2) u	22.869(9) %	stable	7/2+
Isotope ¹⁶⁸Er	167.93238(2) u	26.978(18) %	stable	0+
Isotope ¹⁷⁰Er	169.93547(2) u	14.910(36) %	stable	0+

NMR data

Nuclear magnetic properties of the NMR active Nuclide ¹⁶⁷Er

Isotope:¹⁶⁷Er-NMRQuantity:22.869(9) %Spin:7/2+Nuclearmagnetic moment
μ/μ_N:- 0.56385(12)Gyromagnetic ratio γ:- 0.7752 · 10⁷ rad T^-1 s^-1Nuclear g-factor:g_l = -0.1611Quadrupole moment Q:+ 3.565(29) barn (100 fm²)Resonance frequency:v₀ = 1.2281 at 1 TRelative Sensitivity:0.00050 (H₀ = const.)
0.6057 (v₀ = const.)
[related to ¹H = 1.000]

Nuclear Isomers

Nuclear isomers or excited states with the activation energy in keV related to the ground state.

Nuclear Isomer	Excitation Energy	Half-life	Spin
^167mEr	207.801(5) keV	2.269(6) s	1/2-

Isotones and Isobars

The following table shows the atomic nuclei that are isotonic (same neutron number N = 99) and isobaric (same nucleon number A = 167) with Erbium-167. Naturally occurring isotopes are marked in green; light green = naturally occurring radionuclides.

Z	Isotone N = 99	Isobar A = 167
57	¹⁵⁶La
58	¹⁵⁷Ce
59	¹⁵⁸Pr
60	¹⁵⁹Nd
61	¹⁶⁰Pm
62	¹⁶¹Sm
63	¹⁶²Eu	¹⁶⁷Eu
64	¹⁶³Gd	¹⁶⁷Gd
65	¹⁶⁴Tb	¹⁶⁷Tb
66	¹⁶⁵Dy	¹⁶⁷Dy
67	¹⁶⁶Ho	¹⁶⁷Ho
68	¹⁶⁷Er	¹⁶⁷Er
69	¹⁶⁸Tm	¹⁶⁷Tm
70	¹⁶⁹Yb	¹⁶⁷Yb
71	¹⁷⁰Lu	¹⁶⁷Lu
72	¹⁷¹Hf	¹⁶⁷Hf
73	¹⁷²Ta	¹⁶⁷Ta
74	¹⁷³W	¹⁶⁷W
75	¹⁷⁴Re	¹⁶⁷Re
76	¹⁷⁵Os	¹⁶⁷Os
77	¹⁷⁶Ir	¹⁶⁷Ir
78	¹⁷⁷Pt	¹⁶⁷Pt
79	¹⁷⁸Au
80	¹⁷⁹Hg
81	¹⁸⁰Tl
82	¹⁸¹Pb