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Isotopes of titanium
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| Standard atomic weight Ar°(Ti) | ||||||||||||||||||||||||||||||||||||||||||||||
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Naturally occurring titanium (22Ti) is composed of five stable isotopes; 46Ti, 47Ti, 48Ti, 49Ti and 50Ti with 48Ti being the most abundant (73.8% natural abundance). Twenty-three radioisotopes have been characterized, with the most stable being 44Ti with a half-life of 59.1 years and 45Ti with a half-life of 184.8 minutes. All of the remaining radioactive isotopes have half-lives that are less than 10 minutes, and the majority of these have half-lives that are less than one second.
The isotopes of titanium range from 39Ti to 64Ti. The primary decay mode for isotopes lighter than the stable isotopes is β+ and the primary mode for the heavier ones is β−; the decay products are respectively scandium isotopes and vanadium isotopes.
There are two stable isotopes of titanium with an odd number of nucleons, 47Ti and 49Ti, which thus have non-zero nuclear spin of 5/2− and 7/2− (respectively) and are NMR-active.[4]
List of isotopes
[edit]
| Nuclide [n 1] |
Z | N | Isotopic mass (Da)[5] [n 2][n 3] |
Half-life[1] [n 4] |
Decay mode[1] [n 5] |
Daughter isotope [n 6] |
Spin and parity[1] [n 7][n 4] |
Natural abundance (mole fraction) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Excitation energy | Normal proportion[1] | Range of variation | |||||||||||||||||
| 39Ti | 22 | 17 | 39.00268(22)# | 28.5(9) ms | β+, p (93.7%) | 38Ca | 3/2+# | ||||||||||||
| β+ (~6.3%) | 39Sc | ||||||||||||||||||
| β+, 2p (?%) | 37K | ||||||||||||||||||
| 40Ti | 22 | 18 | 39.990345(73) | 52.4(3) ms | β+, p (95.8%) | 39Ca | 0+ | ||||||||||||
| β+ (4.2%) | 40Sc | ||||||||||||||||||
| 41Ti | 22 | 19 | 40.983148(30) | 81.9(5) ms | β+, p (91.1%) | 40Ca | 3/2+ | ||||||||||||
| β+ (8.9%) | 41Sc | ||||||||||||||||||
| 42Ti | 22 | 20 | 41.97304937(29) | 208.3(4) ms | β+ | 42Sc | 0+ | ||||||||||||
| 43Ti | 22 | 21 | 42.9685284(61) | 509(5) ms | β+ | 43Sc | 7/2− | ||||||||||||
| 43m1Ti | 313.0(10) keV | 11.9(3) μs | IT | 43Ti | (3/2+) | ||||||||||||||
| 43m2Ti | 3066.4(10) keV | 556(6) ns | IT | 43Ti | (19/2−) | ||||||||||||||
| 44Ti | 22 | 22 | 43.95968994(75) | 59.1(3) y | EC | 44Sc | 0+ | ||||||||||||
| 45Ti | 22 | 23 | 44.95812076(90) | 184.8(5) min | β+ | 45Sc | 7/2− | ||||||||||||
| 45mTi | 36.53(15) keV | 3.0(2) μs | IT | 45Ti | 3/2− | ||||||||||||||
| 46Ti | 22 | 24 | 45.952626356(97) | Stable | 0+ | 0.0825(3) | |||||||||||||
| 47Ti | 22 | 25 | 46.951757491(85) | Stable | 5/2− | 0.0744(2) | |||||||||||||
| 48Ti | 22 | 26 | 47.947940677(79) | Stable | 0+ | 0.7372(3) | |||||||||||||
| 49Ti | 22 | 27 | 48.947864391(84) | Stable | 7/2− | 0.0541(2) | |||||||||||||
| 50Ti | 22 | 28 | 49.944785622(88) | Stable | 0+ | 0.0518(2) | |||||||||||||
| 51Ti | 22 | 29 | 50.94660947(52) | 5.76(1) min | β− | 51V | 3/2− | ||||||||||||
| 52Ti | 22 | 30 | 51.9468835(29) | 1.7(1) min | β− | 52V | 0+ | ||||||||||||
| 53Ti | 22 | 31 | 52.9496707(31) | 32.7(9) s | β− | 53V | (3/2)− | ||||||||||||
| 54Ti | 22 | 32 | 53.950892(17) | 2.1(10) s | β− | 54V | 0+ | ||||||||||||
| 55Ti | 22 | 33 | 54.955091(31) | 1.3(1) s | β− | 55V | (1/2)− | ||||||||||||
| 56Ti | 22 | 34 | 55.95768(11) | 200(5) ms | β− | 56V | 0+ | ||||||||||||
| 57Ti | 22 | 35 | 56.96307(22) | 95(8) ms | β− | 57V | 5/2−# | ||||||||||||
| 58Ti | 22 | 36 | 57.96681(20) | 55(6) ms | β− | 58V | 0+ | ||||||||||||
| 59Ti | 22 | 37 | 58.97222(32)# | 28.5(19) ms | β− | 59V | 5/2−# | ||||||||||||
| 59mTi | 108.5(5) keV | 615(11) ns | IT | 59Ti | 1/2−# | ||||||||||||||
| 60Ti | 22 | 38 | 59.97628(26) | 22.2(16) ms | β− | 60V | 0+ | ||||||||||||
| 61Ti | 22 | 39 | 60.98243(32)# | 15(4) ms | β− | 61V | 1/2−# | ||||||||||||
| 61m1Ti | 125.0(5) keV | 200(28) ns | IT | 61Ti | 5/2−# | ||||||||||||||
| 61m2Ti | 700.1(7) keV | 354(69) ns | IT | 61Ti | 9/2+# | ||||||||||||||
| 62Ti | 22 | 40 | 61.98690(43)# | 9# ms [>620 ns] |
0+ | ||||||||||||||
| 63Ti | 22 | 41 | 62.99371(54)# | 10# ms [>620 ns] |
1/2−# | ||||||||||||||
| 64Ti | 22 | 42 | 63.99841(64)# | 5# ms [>620 ns] |
0+ | ||||||||||||||
| 65Ti[6] | 22 | 43 | 65.00559(75)# | 1# ms | 1/2−# | ||||||||||||||
| 66Ti[6] | 22 | 44 | 0+ | ||||||||||||||||
| This table header & footer: | |||||||||||||||||||
- ^ mTi – Excited nuclear isomer.
- ^ ( ) – Uncertainty (1σ) is given in concise form in parentheses after the corresponding last digits.
- ^ # – Atomic mass marked #: value and uncertainty derived not from purely experimental data, but at least partly from trends from the Mass Surface (TMS).
- ^ a b # – Values marked # are not purely derived from experimental data, but at least partly from trends of neighboring nuclides (TNN).
- ^
Modes of decay:
EC: Electron capture
n: Neutron emission p: Proton emission - ^ Bold symbol as daughter – Daughter product is stable.
- ^ ( ) spin value – Indicates spin with weak assignment arguments.
Titanium-44
[edit]Titanium-44 (44Ti) is a radioactive isotope of titanium that undergoes electron capture with a half-life of 59.1 years to an excited state of scandium-44, before reaching the ground state of 44Sc and ultimately of 44Ca.[7] Because titanium-44 can decay only through electron capture, its half-life increases slowly with its ionization state and it becomes stable in its fully ionized state (that is, having a charge of +22),[8] though as astrophysical environments never lack electrons completely, it will always decay.
Titanium-44 is produced in relative abundance in the alpha process in stellar nucleosynthesis and the early stages of supernova explosions.[9] It is produced when stable calcium-40 adds an alpha particle (helium-4), as nickel-56 is the result of adding three more. The age of supernova remnants (even though nickel-56 has died away to iron) may be determined through measurements of gamma-ray emissions from the relatively long-lived titanium-44 and of its abundance.[8] It was observed in the Cassiopeia A supernova remnant and SN 1987A at a relatively high concentration, enhanced by the delayed decay in the ionizing conditions.[7]
See also
[edit]Daughter products other than titanium
References
[edit]- ^ a b c d e Kondev, F. G.; Wang, M.; Huang, W. J.; Naimi, S.; Audi, G. (2021). "The NUBASE2020 evaluation of nuclear properties" (PDF). Chinese Physics C. 45 (3) 030001. doi:10.1088/1674-1137/abddae.
- ^ "Standard Atomic Weights: Titanium". CIAAW. 1993.
- ^ Prohaska, Thomas; Irrgeher, Johanna; Benefield, Jacqueline; Böhlke, John K.; Chesson, Lesley A.; Coplen, Tyler B.; Ding, Tiping; Dunn, Philip J. H.; Gröning, Manfred; Holden, Norman E.; Meijer, Harro A. J. (2022-05-04). "Standard atomic weights of the elements 2021 (IUPAC Technical Report)". Pure and Applied Chemistry. doi:10.1515/pac-2019-0603. ISSN 1365-3075.
- ^ Lucier, Bryan E.G.; Huang, Yining (2016). Reviewing 47/49Ti Solid-State NMR Spectroscopy. Annual Reports on NMR Spectroscopy. Vol. 88. pp. 1–78. doi:10.1016/bs.arnmr.2015.10.001. ISBN 978-0-12-804713-2.
- ^ Wang, Meng; Huang, W.J.; Kondev, F.G.; Audi, G.; Naimi, S. (2021). "The AME 2020 atomic mass evaluation (II). Tables, graphs and references*". Chinese Physics C. 45 (3) 030003. doi:10.1088/1674-1137/abddaf.
- ^ a b Tarasov, O. B.; Sherrill, B. M.; Dombos, A. C.; Fukushima, K.; Gade, A.; Haak, K.; Hausmann, M.; Kahl, D.; Kaloyanov, D.; Kwan, E.; Matthews, H. K.; Ostroumov, P. N.; Portillo, M.; Richardson, I.; Smith, M. K.; Watters, S. (4 September 2025). "Discovery of new isotopes in the fragmentation of Se 82 and insights into their production". Physical Review C. 112 (3). doi:10.1103/573p-7fjp.
- ^ a b Motizuki, Y.; Kumagai, S. (2004). "Radioactivity of the key isotope 44Ti in SN 1987A". AIP Conference Proceedings. 704 (1): 369–374. arXiv:astro-ph/0312620. Bibcode:2004AIPC..704..369M. doi:10.1063/1.1737130.
- ^ a b Mochizuki, Y.; Takahashi, K.; Janka, H.-Th.; Hillebrandt, W.; Diehl, R. (2008). "Titanium-44: Its effective decay rate in young supernova remnants, and its abundance in Cas A". Astronomy and Astrophysics. 346 (3): 831–842. arXiv:astro-ph/9904378.
- ^ Fryer, C.; Dimonte, G.; Ellinger, E.; Hungerford, A.; Kares, B.; Magkotsios, G.; Rockefeller, G.; Timmes, F.; Woodward, P.; Young, P. (2011). Nucleosynthesis in the Universe, Understanding 44Ti (PDF). ADTSC Science Highlights (Report). Los Alamos National Laboratory. pp. 42–43. Archived from the original (PDF) on 2022-02-10.
Isotopes of titanium
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Natural occurrence and abundance
Naturally occurring titanium consists of five stable isotopes: ^{46}Ti, ^{47}Ti, ^{48}Ti, ^{49}Ti, and ^{50}Ti. These isotopes have relative abundances of 8.25% for ^{46}Ti, 7.44% for ^{47}Ti, 73.72% for ^{48}Ti, 5.41% for ^{49}Ti, and 5.18% for ^{50}Ti, resulting in a standard atomic weight of 47.867(1).[5][6] ^{48}Ti is the most abundant, comprising over 73% of natural titanium. Titanium is primarily sourced from minerals such as ilmenite (FeTiO_3) and rutile (TiO_2), which are found in igneous rocks, sediments, and placer deposits worldwide.[7] Unlike elements with long-lived radioactive isotopes, natural titanium contains no primordial radionuclides, as all its naturally occurring isotopes are stable.[8] Slight variations in titanium isotopic ratios have been observed in meteorites and lunar samples, attributed to early solar system processes such as nucleosynthetic anomalies or mixing of presolar materials.[9][10] For instance, calcium-aluminum-rich inclusions in chondritic meteorites show mass-independent fractionation in titanium isotopes, reflecting heterogeneous distribution in the solar nebula.[4] Precise determination of these abundances relies on mass spectrometry techniques, such as multiple-collector inductively coupled plasma mass spectrometry (MC-ICP-MS), which achieve high-resolution separation and quantification of isotopic ratios in geological samples.[11]Synthetic isotopes and production
Synthetic isotopes of titanium encompass a wide range of artificially produced nuclides beyond the five stable natural ones (⁴⁶Ti, ⁴⁷Ti, ⁴⁸Ti, ⁴⁹Ti, and ⁵⁰Ti), spanning mass numbers from ³⁹Ti to ⁶⁶Ti, with 25 known radioactive isotopes, all of which are unstable.[12] Recent observations include ⁶⁵Ti and ⁶⁶Ti reported in 2025.[13] These synthetic isotopes are created exclusively in laboratory settings, as they do not occur naturally in significant quantities, and their production has enabled studies in nuclear physics, astrophysics, and medical applications. The earliest discoveries of titanium isotopes, including initial synthetic efforts, date back to the 1930s, when F.W. Aston used mass spectrometry and deuteron bombardment techniques to identify both stable and early radioactive variants at the Cavendish Laboratory in Cambridge.[12][14] Production of synthetic titanium isotopes primarily relies on nuclear reactions induced by particle accelerators, reactors, and high-energy collisions. Neutron activation, often performed in nuclear reactors, involves capturing neutrons on stable titanium targets to form heavier isotopes, such as ⁵¹Ti produced via neutron capture on ⁵⁰Ti at facilities like Argonne National Laboratory in the 1940s.[12] Proton bombardment in cyclotrons targets lighter elements to yield titanium nuclides through reactions like (p,n) or (p,2n); for instance, ⁴⁵Ti is generated by irradiating natural scandium with 13 MeV protons, followed by chemical separation.[12][3] Similarly, ⁴⁴Ti is produced via proton irradiation of scandium targets in cyclotrons, such as the RFT-30, enabling its use as a generator for scandium-44 in medical imaging.[2][15] Spallation reactions and projectile fragmentation at high-energy accelerators, like those simulating supernova conditions, create lighter titanium isotopes through the breakup of heavier targets; ⁴⁴Ti, for example, has been observed in such fragmentation of calcium or iron nuclei.[16] These methods produce isotopes with half-lives ranging from extremely short, such as ~10⁻²¹ seconds for ⁶⁶Ti formed in heavy-ion collisions, to relatively longer ones like 3.08 hours for ⁴⁵Ti.[12] Stable natural titanium isotopes serve as enriched starting materials for many of these syntheses to optimize yields.[17]Nuclear properties
Isotopic masses and binding energies
The atomic masses of titanium isotopes are precisely determined through experimental measurements and evaluated in the Atomic Mass Evaluation (AME2020)[18], providing essential data for understanding nuclear structure and stability. These masses, expressed in atomic mass units (u), along with their mass excesses (the difference between the atomic mass and the mass number A, in energy units), reveal deviations from integer masses due to binding effects. For titanium (Z=22), the stable isotopes exhibit masses clustered around A=46 to 50, with uncertainties typically on the order of 0.000001 u. The total binding energy B of a nucleus is calculated using the semi-empirical mass formula in energy units: where Z is the atomic number, N = A - Z is the neutron number, m_H is the atomic mass of hydrogen (1.007825 u), m_n is the neutron mass (1.008665 u), M is the atomic mass of the isotope, and c is the speed of light. This energy quantifies the stability arising from the strong nuclear force overcoming Coulomb repulsion. The binding energy per nucleon, B/A, serves as a key metric for comparing isotopic stability, typically reaching 8.5–8.7 MeV for mid-mass titanium isotopes. Representative data for the stable titanium isotopes from AME2020 are summarized below, including atomic masses, mass excesses, binding energies per nucleon, and nuclear spin-parity values from associated nuclear data evaluations. Uncertainties are included in parentheses.| Isotope | Atomic Mass (u) | Mass Excess (keV) | Binding Energy per Nucleon (MeV) | Spin-Parity |
|---|---|---|---|---|
| ⁴⁶Ti | 45.952626(1) | -44 128(1) | 8.659 | 0⁺ |
| ⁴⁷Ti | 46.951758(1) | -44 938(1) | 8.665 | 5/2⁻ |
| ⁴⁸Ti | 47.947941(1) | -48 493(1) | 8.729 | 0⁺ |
| ⁴⁹Ti | 48.947864(1) | -48 564(1) | 8.716 | 7/2⁻ |
| ⁵⁰Ti | 49.944786(1) | -51 432(1) | 8.761 | 0⁺ |
Decay modes and half-lives
The unstable isotopes of titanium display decay modes that follow typical patterns for neutron-deficient and neutron-rich nuclides relative to the stable isotopes ^{46}Ti through ^{50}Ti. Neutron-deficient isotopes below ^{48}Ti predominantly undergo electron capture (EC) or β⁺ decay, as exemplified by ^{44}Ti and ^{45}Ti, while neutron-rich isotopes above ^{50}Ti favor beta minus (β⁻) decay, such as ^{51}Ti and ^{52}Ti. Alpha decay is exceedingly rare and not a dominant pathway for any titanium isotope due to unfavorable Q-values and nuclear structure effects.[19] Half-lives of titanium radioisotopes span several orders of magnitude, reflecting their proximity to the line of stability. The longest-lived is ^{44}Ti, with a half-life of 60.0 ± 0.9 years, decaying solely by EC. Another relatively long-lived example is ^{45}Ti, with a half-life of 184.8 ± 0.5 minutes, primarily via β⁺ decay. In contrast, most other unstable titanium isotopes are short-lived, with half-lives under 1 hour; for instance, ^{51}Ti has a half-life of 5.76 ± 0.05 minutes through β⁻ decay, and ^{52}Ti decays in 1.7 ± 0.1 minutes via β⁻. These short half-lives for the majority of isotopes (from ^{39}Ti to ^{63}Ti, excluding the noted exceptions) arise from high decay energies and allowed transitions.[19] Specific decay chains highlight the processes involved. For ^{44}Ti, EC occurs 100% to excited states in ^{44}Sc, primarily the 78 keV level (branching ratio ~86%) and the 68 keV level (~14%), followed by the daughter ^{44}Sc decaying via β⁺ or EC to stable ^{44}Ca with prominent γ emission at 1157.0 keV (intensity 99.6%). The Q-value for the EC branch of ^{44}Ti to the ground state of ^{44}Sc is 267.8 ± 1.9 keV, limiting decay to low-lying excited states and prohibiting β⁺ emission. Similarly, ^{51}Ti undergoes β⁻ decay (Q-value 983 ± 5 keV) to excited states in ^{51}V, often followed by γ de-excitation. These chains underscore how binding energies influence decay feasibility, with β⁺/EC favored when Q-values exceed ~1022 keV for positron emission.[19]| Isotope | Decay Mode | Half-Life | Q-Value (keV) | Notes |
|---|---|---|---|---|
| ^{44}Ti | EC (100%) | 60.0 ± 0.9 y | 267.8 ± 1.9 (to ^{44}Sc g.s.) | Decays to excited ^{44}Sc; prominent γ at 1157 keV from daughter |
| ^{45}Ti | β⁺ (85%) + EC (15%) | 184.8 ± 0.5 min | 4395 ± 2 (to ^{45}Sc g.s.) | Used in PET due to positron emission |
| ^{51}Ti | β⁻ (100%) | 5.76 ± 0.05 min | 983 ± 5 | To excited ^{51}V states |
