The periodic table of the elements: the search for transactinides and beyond

The periodic table of Mendeleev, initially proposed on the basis of 66 elements, and containing 82 elements at the time of Moseley (1887–1915), describes nowadays 118 elements. The huge challenge of this scientific adventure was, and still is, the development of technologies and methods capable of producing elements of atomic number Z > 103, known as superheavy elements (SHE), or transactinides. This paper presents a survey of experiments and theoretical approaches that led physicists and chemists of today to discover and characterize a number of SHE isotopes. A glance is also given to the feasibility studies performed by scientists aiming to going beyond Z = 118, building up further neutron-rich nuclides and reaching the ultimate goal of creating long-living new elements at the edge of the Periodic Table.

The table of the elements released in 1869 by the Russian chemist Dimitri I. Mendeleev (1834Mendeleev ( -1907 was based on the phenomelogical regularity of the chemical/physical properties exhibited by sixty-six elements known at the time, ordered in function of their atomic weights (Mendeleev 1869). It was only in 1913, from a series of experiments on X-ray diffraction on thirty-nine elements, from aluminum to gold, that the English physicist Henry G. J. Moseley (1887Moseley ( -1915 found the precise physical meaning of atomic number, Z, i.e., the number that represents the units of elementary electric charge in the atomic nucleus, therefore the number of electrons in the atom. Consequently, the chemical/physical properties of the elements came to be This peer-reviewed paper belongs to the Topical Collection "The Periodic System" In celebration of the 150th birth anniversary of sir Ernest Rutherford, the father of Nuclear Physics. understood as periodic functions of the atomic number, and not of the atomic weight (Moseley 1913). The ordering scheme proposed by Mendeleev and improved by Moseley gets a scientific foundation during the first decades of the twentieth century, when it was discovered that atomic nuclei consist of protons and neutrons and the quantum mechanical description of the atomic structure was put forward. The advent of the new quantum mechanics in the mid-1920s and the application to electrons moving around the atomic nucleus made possible to describe the periodic table of the elements in terms of atomic structure.
In this context, it became evident that the chemical behavior of an element was driven by the ground-state electronic configuration, i.e., the distribution of electrons density in space. The probability distributions of the electrons in atoms, the so-called "orbitals", indicate the regions of space around the nucleus where the electrons are most likely to be found. In quantum theory applied to the structure of atoms, any electron is identified by a set of four quantum numbers. The principal quantum number, n = 1, 2, 3, 4, 5, 6, and 7, indicates the energy level and is associated with the periods of the periodic table of the elements. The orbital quantum number, l = 0 (orbital s), 1 (orbitals p), 2 (orbitals d), 3 (orbitals f), 4 (orbitals g), …, n − 1, defines the spatial distribution of the electron. The magnetic quantum number, m l = l, l − 1, …. 0, …., − l + 1, − l, differentiates the behavior of the electron in presence of a magnetic field. Finally, the spin quantum number, m s = + 1/2, − 1/2, indicates the direction of the intrinsic electron rotation around its axis. The set of these four quantum numbers, with the limitation arising from the "Pauli exclusion principle", enables to completely label an electron in any atom (Quagliano and Vallarino 1973).
However, starting in the 1960s, it was necessary to include also relativistic considerations in the description of the electronic configuration of the heavier elements to explain the chemica/physical properties of new-found natural occuring elements or to predict the behavior of the artificial ones (Pyykkö and Desclaux 1979). Relativistic effects increase with Z 2 , and deviations in the periodicity of the chemical properties were indeed predicted for elements with Z > 100. For these elements the electrons in the orbitals more close to the highly charged nucleus experience indeed stronger Coulomb forces, and thus are accelerated to relativistic velocities. This primary relativistic effect leads to a stronger electron binding in atoms, causes contraction of the s and p orbitals, induces a more efficient screening of the nuclear charge and a corresponding destabilization of the outer d and f orbitals. At the same time, spin-orbit interactions occur.
The effects of relativistic electron motion on the spin of electrons modify the orbital quantum number l, causing a splitting of the three isoenergetic p levels and the distribution of electrons into the more stabilized p 1/2 subshell and the less stabilized p 3/2 ones (Pyykkö 1988;Eliav et al. 2015;Pershina 2019). The same effects were found to affect also the d orbitals, inducing a splitting of the isoenergetic shells. As a whole, relativistic effects lead to strong changes in orbital geometry as well as in density and binding energy of electrons in atoms with larger nuclear charge.
Whereas relativistic effects are important in defining the electronic structure and, therefore, the chemical behavior of the superheavy elements, also a feature on nuclear nature must be considered. A property that distinguishes all the elements with Z > 82 is their instability against radioactive decays, occurring mainly through the processes of alphaparticle emission (Deng et al. 2020) and spontaneous fission (Xu et al. 2008). The emission of nuclear clusters heavier than the alpha-particle can also occur in a number of heavy nuclei (Tavares and Medeiros 2012;Anjali et al. 2020;Santhosh and Nithya 2018).

The survival of the elements
The stability of a nucleus was for a long period accounted for in the frame of the liquid-drop model (Gamow 1930), that allowed to calculate the binding energy (von Weizsäcker 1935) and to describe the features of the spontaneous fission (Bohr and Wheeler 1939). Following this model, the fissility of a nucleus was expected to increase proportionally to parameter Z 2 /A (A denotes the mass number, the sum of the Z protons and N neutrons in a nucleus). With the increased number of protons in a nucleus, the repulsive Coulomb forces overcome the attractive nuclear forces, inducing a nuclear disturbance and finally, just beyond element Z = 100, the vanishing of the fission barrier height. In this view, the upper limit of the table of the elements was predicted close to element Z = 100.
However, from 1962 on, several contradictions with the predictions from the liquid-drop model have been observed in fission experiments, and the macroscopic concept of a nucleus as a structureless liquid drop had to be corrected by introducing shell effects. An exciting scenario regarding nuclear stability had been indeed opened by macroscopic-microscopic theories that included also higher orders of nuclear deformations (Strutinsky 1968;Dobaczewski et al. 1984;Myers and Swiatecki 1997).
Following these approaches, the motion of a single nucleon in a largely deformed heavy nucleus undergoing fission is coupled with the collective degrees of freedom of the whole system. The drop-liquid model was thus corrected taking into account effects of independent particles in a medium nuclear field and the existence of closed-shell configurations (Brack et al. 1972). Detailed calculations of the nuclear energy confirmed that shell structures are preserved also in highly deformed fissioning nuclei, pointing out that new nuclear shell closures are generated in presence of specific "magic" numbers of protons and neutrons. Under such conditions, an increase of the fission barrier and, therefore, an enhanced stability against nuclear decays were theoretically foreseen (Strutinsky 1968;Brack et al. 1972).
These strong shell effects led to predict the existence of regions in the chart of the nuclides where an enhancement of stability could be expected (Sobiczewski et al. 1966;Myers and Swiatecki 1966;Viola and Seaborg 1966;Strutinsky 1967;Mosel and Greiner 1969;Bolsterli et al. 1972).
The concept of the so-called "island of stability", had been firstly advanced by the North American chemist Glenn T. Seaborg (1912Seaborg ( -1999 in 1945 (Seaborg 1945), and further developed by taking into account also nuclear deformations (Sobiczewski 2011;Raeder et al. 2018). The experimentally observed high-fission barrier of the stable "doubly magic" 208 Pb (Z = 82, N = 126) was rationalized when abandoned the assumption that the large deformation suffered by the nucleus undergoing fission would distruct shell structures.
Theoretical approaches and experimental findings locate the stability islands at values of Z and N different for spherical and for deformed nuclei. In the region of superheavy nuclei, closed shells are expected to occur in spherical nuclei having Z = 114, 120 or 126 and N = 184, and in deformed nuclei having Z = 108 and N = 162 (Türler and Pershina 2013). The topic of nuclear shapes is of fundamental importance in defining the physical/chemical properties of elements, because the distortion from spherical to spheroidal features affects not only the stability against nuclear decays, but also the electronic structure and, therefore, the chemistry of the element (Raeder et al. 2018).
In Fig. 1 are displayed the naturally existing nuclei, as well as the regions where the coupling on N and Z magic numbers predicts an enhanced stability against nuclear decay. Figure 1 indicates also the explosive hydrogen burning on novae or neutron stars surfaces (rp process) and the rapid neutron capture (r process) that, along with the s process, are regarded as the fundamental pathways for creation of the elements in the Universe.
These considerations were behind the concept that also elements considered totally instable according to the liquiddrop model of fission, could conversely exist and that the limits of the table of the elements could be overcome (Cwiok et al. 2005;Dean 2007). Even if scientists are still trying to fully understand properties of atoms and nuclei, the theoretical models of nuclear structure developed in the 1960s and 1970s have been a strong boost toward the discover of new heaviest elements.
In accordance with the concept that closed nuclear shells enhance the nuclear stability, the last stable natural element is lead (Pb) formed by 82 protons and 126 neutrons. Going on along the sixth period of the periodic table, the proton/neutron ratios do not more enable the physical stability of nuclides, that decay with half-lives, T ½ , ranging from the quasi-stable 209 Bi (Z = 83, T ½ = 1.0 × 10 19 year) (Tavares et al. 2005) to the relatively short-lived Polonium (Po, Z = 84), Astatine (At, Z = 85), and Radon (Rn, Z = 86) isotopes, for which T ½ is in the range 0.27 μs-125 year (Kondev et al. 2021).
The seventh period, after the metals Fr (Z = 87), Ra (Z = 88) and Ac (Z = 89), continues with the elements of actinide series, characterized by the gradual filling of 5f orbitals. Up to U (Z = 92), all the actinides are naturally occurring, whereas the transuranium elements are artificially produced using various nuclear reactions. It should be noted that generally in the tables of elements both Tc (Z = 43) and Pm (Z = 61) are marked as artificial, because sizeable quantities of these elements have been not found in nature. However, very small amounts of both Tc and Pm are naturally produced through spontaneous fission process in U isotopes (see, for instance, Rao and Kuroda 1966).
All the actinides are radioactive. The nuclear stability increases from the first members of the actinide family, with T ½ = 21.77 year for 227 Ac, T ½ = 32.65 × 10 3 year for 231 Pa, up to T ½ = 4.46 × 10 9 year for 238 U, and 1.40 × 10 10 year for Fig. 1 Map showing the naturally existing nuclei on the Earth (black squares). The magic numbers associated with increased stability (closed shells) are indicated by double lines. The dashed curves show the calculated borderlines of nuclear stability, where the proton and neutron binding energies B p and B n become zero. Also shown are the r process and rp process, two paths believed to be important in the creation of elements of the Universe (Reproduced with permission from Broglia 2002, pag. 775) 1 3 232 Th (Kondev et al. 2021). The rather long half-lives for these two latter elements, which were produced by nucleosynthesis processes at different times after the Big Bang, explain their current presence on the Earth. Also, traces of the primordial isotopes 237 Np (T ½ = 2.14 × 10 6 year) and 244 Pu (T ½ = 8.13 × 10 7 year) have been detected in nature (Hoffman et al. 1971). In this context, Pu, generally considered an artificial element, can be seen as the heaviest naturally occurring element.
The transuranium elements show a drastic decrease of nuclear stability with increasing the atomic number. The elements with Z > 96 have relatively short lifetimes, varying from 1.38 × 10 3 year for 247 Bk (Berkelium, Z = 97) down to 22.9 μs for 254 Rf (Rutherfordium, Z = 104) (Kondev et al. 2021). As an example, from 238 U isotope to the 252 No isotope, the addition of 10 protons and 4 neutrons reduces T ½ by a factor 10 16 . Further studies on rare earth have been reported in (Ascenzi et al. 2020).

Toward new elements
The era of man-made elements started when the opportunities provided by nuclear processes to modify the properties of the existing nuclei were disclosed. In particular, the long history of transuranium actinides began in 1938 with the discovery of nuclear fission and with the Fermi's guess that such process could produce still unknown nuclides (Pearson 2015). Fission was indeed the first of the standard nuclear reactions used so far to obtain artificial atoms. The other processes were fragmentation of heavy nuclei, limited however to production of elements lighter than U, and fusion reactions, the unique processes able to synthesize superheavy elements (Oganessian and Utyonkov 2015). Figure 2 displays the regions of the Chart of the Nuclides that can be populated by nuclei produced by fission, fragmentation of fusion processes. These last two processes replicate in laboratory the astrophysical r process paths, that proceed on the neutron-rich side of the N/Z plot (Adamian et al. 2020a). The elements Np, Pu, Am, Cm, Bk, Cf, Es, Fm, Md, No, and Lr were obtained by nuclear reactions settled in the period from 1940 (Neptunium, Np, Z = 93) (McMillan and Abelson 1940) to 1961 (Lawrenciun, Lr, Z = 103) (Ghiorso et al. 1961), using both neutron or charged particle accelerated beams to bombard targets of lighter actinides (Seaborg 1963).
The chemical/physical characterization performed in 1961 revealed for Lr the ground-state electronic structure [Rn]5f 14 7s 2 7p 1 , experimentally confirming the prediction by Seaborg who, in 1949, had indicated element 103 as the final member of the actinides (Silva 2006). In that view, Lr, that completes the 5-f block, even then supported the foresights that the principles governing the periodic trends in groups and periods could be valid for a further stretching of the Periodic Table itself. From then the investigation of still undiscovered elements at the far end of the periodic table began to be a relevant research topic.
The artificial Lr is not just the last of the actinides, but also the last of the elements described in the majority of the chemistry textbooks. This because only up to Z = 103 the chemical/physical behavior has been fully investigated and the elements proved to be of practical use. However, generally unoticed by non-experts, and also by chemists, in the last decades, a further outstanding extension of the periodic table has occurred. Based on theoretical predictions and on the hypothesis that the list of chemical elements could be expanded beyond Lr, several nuclear laboratories finalized scientific plans for the synthesis of elements of Z > 103, the so-called transactinides, or superheavy elements (SHEs).
The developments of particle accelerators have enabled to produce intense beams of stable isotopes for bombarding targets of either stable heavy elements or radioactive actinide isotopes, triggering in such a way a variety of fusion reactions. A long series of nuclear processes induced by accelerated ion beams were carried out at the Joint Institute for Nuclear Research-JINR, Dubna (Russia), at Gesellschaft für Schwerionenforschung-GSI, Darmstadt (Germany), at Lawrence Berkeley National Laboratory-LBNL, Berkeley (USA), at Lawrence Livermore National Laboratory-LLNL, Livermore (USA), and at Institute of Physical and Chemical Research-RIKEN, Wako City (Japan).
A successful series of nuclear physics experiments performed in the 1970s and 1980s allowed to synthesize elements from Z = 104 (Rutherfordium, Rf) up to Z = 108 (Hassium, Hs). In the following years, the research went ahead, demonstrating that the seventh period of the Table of the Elements could be extended (Münzenberg 1988), and the synthesis of new elements was successfully accomplished up to Z = 118 (Oganesson, Og) (Oganessian and Rykaczewski 2015). These challenging experiments allowed to expand the seventh period of the pariodic table with elements of 104 ≤ Z ≤ 118.
All the isotopes of these superheavy elements are instable and characterized by short half-lives, ranging from 10 μs for 267 Ds (Darmstadtium, Z = 110) up to 29 h for 268 Db (Dubnium, Z = 105) (Kondev et al. 2021). For these nuclei, the commonly observed decay modes have been α-decay and spontaneous fission. The alpha-decay mode represents the main de-excitation mechanism, competing with spontaneous fission in ~ 20% of the superheavy isotopes (Magill et al. 2018). In addition, systematic calculations of half-lives for all possible hadronic decay modes, including also the decay by clusters emission (Tavares and Medeiros 2012), have indicated a similar behavior for the isotopic sequences 110 ≤ Z ≤ 133 (Duarte et al. 2004), 104 ≤ Z ≤ 124 (Poenaru et al. 2012), and 120 ≤ Z ≤ 126 (Seyydi 2021).
The success of the experiments aimed at the discovery of SHEs strongly relied on the ability to identify their shortlived isotopes. A first difficulty arises from the very low cross sections of the synthesis processes, from nb (10 −33 cm 2 ) to pb (10 −36 cm 2 ) or even fb (10 −39 cm 2 ), that enable the production of no more than one atom-at-time. Moreover, the identification of these rare events is made harder because the fusion reactions that produce the transactinides are accompanied by a variety of nuclear processes, resulting in a simultaneous abundant production of elements all over the periodic table (Itkis et al. 2002). A decisive role in overcoming such technical challenges has been played by the avaibility of sophysticated physical and chemical methodologies and of highly sensitive nuclear instrumentation.
To separate the highly charged nucleus of SHE generated by a complete fusion reaction from the by-products, a pre-separation step of the reaction products that recoil out from the target is accomplished using various highly performing electrostatic and magnetic separators. To further eliminate the interferences of other elements and to allow an unambiguous detection of the searched atoms, chemical separations using thermochromatography and isothermal gas chromatography, along with ion exchange chromatography and extraction chromatography, have been, and still are, the most employed methodologies (Türler et al. 2015;Nagame et al. 2015). A detailed description of the instrumentation utilized for single atom chemistry can be found in Türler and Pershina (2013).
The presence of the complete fusion product is then proved by the detection of the characteristic nuclear signals generated by the atom itself and by the chain of its sequential radioactive decays. This step, accomplished in a timecorrelated event-by-event mode, makes use of high-resolution spectrometers for the detection of correlated emission of alpha particles and fission fragments. In this way, the elements with Z from 104 to 118 are now well established inside the periodic scheme proposed by Mendeleev, even if the relativistic effects introduced some irregularities in the trends of chemical and physical properties (Pyykkö 2011;Eliav et al. 1998b). The deviations in the periodicity of chemical properties, deeply illustrated in Eichler (2019b) and Pershina (2020), regard mainly bond character, ionization potentials, oxidation states, and enthalpies of compound formation.
Taking into account, the intrinsic difficulties of this kind of research, could be expected either discussions about experimental findings and related interpretations or arguments about the priority of the discovery by different competing scientific teams. The emergence of controversies occurred just from the beginning, and involved several of the elements artificially produced in the 20th and in the present centuries (Kragh 2018). This is the reason why the International Union of Pure and Applied Chemistry-IUPAC and the International Union of Pure and Applied Physics-IUPAP in some cases delayed to acknowledge to a team the priority of a new element discovery.
So far, the elements from 104 to 118 have been all authenticated by IUPAC and IUPAP, who made official for the transactinides the following names, proposed by the credited discoverers (see Appendix 1): Rutherfordium

Elements 104-118: the discovering
Fusion reactions occurring when thin targets of heavy elements are bombarded with highly energetic ion beams are the only nuclear processes suitable for the production of elements in the transuranium region. The conception behind fusion is to select target and projectile elements so that the sum of their protons could correspond to the Z of the planned new element. To carry on a fusion process, the coulomb repulsion ion/nucleus has to be overcome and this requires projectile energies of about 5 MeV/nucleon. In this 1 3 view, large accelerators are needed to accomplish the transactinides, that in any case are obtained with cross sections values not exceeding the pb or, for the heavier elements, even the fb range (Adamian et al. 2020b). The production of elements 104-106 had been achieved by irradiating thin targets made by isotopes of the transuranium elements Pu, Cf, Bk, and Am with high-energy beams of light ions, mainly C, N, O, and F. Element 104 (Rf) was discovered in 1964 at JINR when the irradiation of a 242 Pu target by 115-MeV 22 Ne ions produced the isotope 260 Rf (T ½ = 0.3 s) (Flerov et al. 1964), whereas the element 105 (Db) was identified in 1971 at LBNL by reactions of highly energetic 18 O and 16 O beams with 249 Bk targets (Ghiorso et al. 1971).
The element 106 (Sg) was independently synthesized in 1974 at LBNL by the group leadered by Seaborg, who produced the element by the fusion of 18 O and 249 Cf (Ghiorso et al. 1974), and at JINR by Oganessian and coworkers by the reaction of low-energy 54 Cr beams with 207 Pb targets (Oganessian et al. 1974). This last experiment was very important, because evidenced how new target/projectile combinations, different from those until then considered, were needed to enhance the production yield of the more heavy transactinides. As a matter of fact, the new approach demonstated the ability to increase the survival probability of the fusion products.
The fusion of accelerated light ions and heavy elements produces indeed a superheavy, highly excited compound nucleus with energy in the range 40-50 MeV. Such hot nucleus promptly cools down by evaporation of a variable number of neutrons, thus generating numerous different isotopes, the so-called fusion-evaporation residues. Moreover, the cooling step by nucleon evaporation is a process that competes with spontaneous fission, more probable in more excited nuclei. As a result of such fusion-fission reactions induced by light-ion beams, the forecasts were that the survival of the superheavy element would be strongly reduced and that any elements with Z > 106 would be hardly obtained in measurable amounts. Scientists at JINR demonstrated that using for the fusion targets from the Pb region and beams of neutron-rich isotopes of Ti (Titanium), Cr (Chromium), and Fe (Iron), it was possible to create less excited compound systems (Oganessian et al. 1976).
Even if the cross sections for fusion based on heavier projectiles were significantly smaller, the low excitation energy of the compound nuclei was found to allow the evaporation of only one or two neutrons and, consequently, to reduce the probability of decay by spontaneous fission. This effect has proved to be even more important in the progressive advance along the transactinide row, and the new "cold-fusion" approach was widely exploited in the successive experiments that led to the discovery of 107-109 elements. The first isotope of element 107 (Bh), the short-lived metastable 262 Bh m , was identified at GSI in a fusion reaction of low-energy 54 Cr ions and 209 Bi targets (Münzenberg et al. 1981).
The reaction of 58 Fe beams with a 208 Pb target led in 1984 to the discovery of element 108 (Hs) (Munzenberg et al. 1984). The evaporation of one neutron from the compound nucleus with 18-MeV energy produced the 265 Hs isotope ( T ½ = 1.5 ms). The 269 Hs isotope with T ½ ≈ 14 s, more suitable for chemical investigations, was later produced by the α-particle decay chain originating from the reaction of 208 Pb with 70 Zn ions beams (Hofmann et al. 2002). The research team at GSI had identified in 1982 element 109 (Mt) by α-decay of a single atom of the 267 Mt isotope produced by the fusion of 58 Fe ions with 209 Bi (Münzenberg et al. 1982).
Following the same methodology, in the 1990s, a series of experiments allowed to discover elements from 110 to 112. Ds (Z = 110) was created in 1994 by bombardment of 208 Pb with accelerated 62 Ni ions. The process produced a single atom of the isotope 269 Ds, identified by measuring 4 genetically linked alpha-decay chains (Hofmann et al. 1995a). The production cross section of the Ds isotopes has been after that increased from 3.5 pb up to 15 pb by the use of 64 Ni ions.
The first isotope of element 111 (Rg) was identified from the detection of 3 alpha-decay pattern. For the isotope 272 Rg, produced via the 64 Ni + 209 Bi → 272 Rg fusion reaction, a cross section of 3.5 pb was deduced (Hofmann et al. 1995b). First results for the synthesis of element 112 (Cn) were reported in 1996 (Hofmann et al. 1996). Even with the most intense beam the reaction of 70 Zn with 208 Pb yielded only one atom of the 277 Cn isotope in 1 week. In 2000, a second experiment at GSI allowed to detect a second atom (Hofmann et al. 2002). Two more 277 Cn atoms were produced in 2004 at RIKEN (Morita et al. 2007). Taken together, this set of results allowed to confirm the creation of element Cn (Hofmann 2010).
The search for element 113 (Nh) started in 2003 at RIKEN using again a 70 Zn ion beam and a 209 Bi target. About 580 days of beam irradiations performed from 2003 to 2012 allowed to produce few atoms of the 113 element, identified through three decay chains of its 278 isotope (Morita 2015). The element was recognized by IUPAC in 2016 (Karol et al. 2016), and named Nihonium from "Nihon", a translation of Chinese characters meaning "the land of rising sun", the historical name for Japan (En'yo 2019). The extremely low value (~ 20 fb) of cross section for 278 Nh production was a clear signal that the cold-fusion approach was no more valid to generate elements of Z > 113 (Hofmann 2016).
The synthesis of the elements from 114 up to 118, as well as of various isotopes of the elements 112 and 113, was made possible by a new synthesis methodology settled at JINR in the 1990s (Oganessian and Utyonkov 2015). This strategy envisaged the irradiation of targets made by radioactive actinides, from 238 U up to 249 Cf, by highly accelerated 48 Ca ions.
The design of the new experiments was based on the need to produce neutron-rich fusion products, predicted to have a longer life. In this context the choice has fallen on 48 Ca, a rather light nucleus characterized by a neutron excess (neutron to proton ratio of 1.4). Therefore, it was expected that the superheavy nuclei created by the fusion of 48 Ca isotope with actinide nuclei would be rather close to the neutron-rich region of nuclear stability. The experiments confirmed that the mechanism of such "hot-fusion" processes induced a cooling of the excited compound nucleus through the evaporation of a number of neutrons lower than those emitted in a cold-fusion obtained by low-energy high-Z beams. As a result, the cross sections for the production of transactinide elements could be up to 100 times larger.
However, this hot-fusion methodology required noticeable technical efforts, due to the need to employ projectiles and targets completely different from those utilized for the cold-fusion processes. As regards the ion source, complex enrichment procedures were settled to obtain grams of the 48 Ca isotope, present in natural Ca only as ~ 0.19%. Moreover, remarkable improvements of the irradiation set-up were requested when using targets made by rare isotopes of 244 Pu, 243 Am, 248 Cm, 249 Bk, and 250 Cf. Being the actinide isotopes obtained in small amounts by nuclear reactions induced by intense neutron fluxes, care had to be taken to avoid rapid consumption of such valuable targets during long-lasting continuous bombardment by intense (10 13 ions/s) 48 Ca beams.
Following the hot-fusion approach, element 114 (Flerovium, Fl) has been created by reaction of 48 Ca with 242 Pu and 244 Pu targets, obtaining the isotopes 287 Fl and 288 Fl that could be identified through 3 and 2 alpha-decay chains, respectively (Oganessian et al. 1999).
The first identification of element 115 (Moscovium, Mc) was made by a joint Dubna-Livermore team in 2003. The research group experienced difficulties in the identification of the four atoms resulting from the fusion of 243 Am with 48 Ca. This was due to the fact that none of the nuclides (Nh, Db) originating from the alpha-decay of the produced atoms was known at that time (Oganessian et al. 2004).
Starting from 1977, a lot of unsuccessful attempts characterized the discovery of element 116 (Livermorium, Lv) (Armbruster et al. 1985). It was only in 2000, measuring the decay data of a single atom created by bombarding 249 Cm with 48 Ca, that the presence of the 292 Lv isotope was confirmed (Oganessian et al. 2000). In 2012 to element 116 was assigned the name Livermorium (Lv), recognizing the role played by the Lawrence Livermore National Laboratory (LLNL), who had worked with JINR on the discovery of elements 113-116 and 118.
A series of obstacles, in this case mostly of organizational type, were found also in carrying on the experiments for the synthesis of element 117 (Tennessine,Ts), a research carried out in the frame of an JINR-LLNL-ORNL (Oak Ridge National Laboratory) collaboration. To obtain an element with Z = 117 using a 48 Ca beam, the right target must be made of 249 Bk, an actinide obtained as sub-product of the nuclear process yielding 252 Cf. However, at that time, ORNL, the only producer of 249 Bk, could not provide such isotope. So, the experiment launched in 2004 had to be stopped up to the end of 2008, when ORNL made available 22 mg of 249 Bk. In addition, bureaucratic troubles delayed the shipment of such radioactive material to Dubna, but, finally, the fusion experiments could be performed.
A first identification of element 117 was achieved on the basis of two alpha-decay chains that produced the short-living 294 Ts and 293 Ts isotopes of element Tennessine (Oganessian et al. 2010). However, the discovery of element 117 was confirmed only later, when all the daughter nuclides produced by the decay chains had been identified (Oganessian et al. 2013;Forsberg et al. 2016). The element was named Tennessine to acknowledge the contribution of the University of Tennessee (USA) in its identification (Khuyagbaatar et al. 2019).
On the other side, the discontinuity in researches for the synthesis of element 117 allowed to put more efforts in experiments aimed to confirm the creation of element 118. As a matter of fact, in 2002, the bombardment of a 249 Cf target with 48 Ca at 245 MeV had produced only one atom. The alpha-decay chain of this atom led to provisionally ascribe it to the element 118, but the discovery was announced only in 2005, when the use a thicker target and of a higher energy beam allowed to produce two more isotopes of element 118 with mass number 294 (Oganessian 2006). Moreover, when at Dubna in 2012 were going on further irradiations of the finally available 249 Bk to produce element 117, the analysis of alpha-decay chains evidenced also the creation of atoms of element 118. This unexpected result was due to the β-decay of 249 Bk into 249 Cf, and prompt production of element 118 instead of the scheduled 117 one (Oganessian and Rykaczewski 2015).
The discovery of element 118 has been recognized by IUPAC and IUPAP in 2016 (Karol et al. 2016). The name Oganesson was given to acknowledge the outstanding researches carried out by the group leadered by the Russian nuclear physicist Yuri Ts. Oganessian (b. 1933), who strongly contributed to the creation of new SHEs by designing advanced set-ups and innovative experiments. The addition of Oganesson, that is presently the last element formally recognized, completed the seventh period of the PeriodicTable.
An overview of the up to date situation regarding SHEs is provided by the portion of the Chart of Nuclides of Fig. 3, where all the produced isotopes are shown along with indication of their predominant decay modes and half-lives (see also a summary table in Appendix 1).

A look at the chemistry of transactinides
Given that transactinide atoms are obtained in amounts ranging from 1 atom per day to 1 atom per week, and that the half-lives of a hundred of their isotopes are of the order of seconds (or even microseconds), the investigation of their chemical properties is a very hard, and for some of them really impossible, task. In effect, the chemical experiments had to be performed on "one-atom-at-a-time" and only on isotopes with life-times enabling separation processes in gas or in aqueous phase. Moreover, the investigations are limited to the study of few chemical properties, such as volatility, surface adsorption, redox potentials and ability of complex formation (Gäggler and Türler 2014). As regards this last topic, so far only for few SHEs the chemical complexes, mainly oxyhalides, oxycarboxylates and carbonyl complexes could be studied (Türler and Gregorich 2014;Kratz and Nagame 2014). Details regarding the formation of complexes for the transactinides in various oxidation states are reported in Türler and Pershina (2013).
The present technologies do not make possible experimental assessment of the many other properties strictly associated with the chemical and physical behavior of the SHEs, such as chemical reactivity, excitation energies, ionization potentials and electron affinities. In this context theoretical studies, as ab-initio Dirac-Fock (DF) quasi-relativistic approaches, were found to play a fundamental role. As delineated in the paper by Pershina (2015), molecular calculations not only enabled to insert in the periodic table the elements created up till now, but also to predict a reasonable placement for elements up to Z = 122.
The coupling of theoretical and experimental approaches is even more significant in interpreting and corroborating the scarce experimental data available on the atomic properties of the SHEs. Of fundamental importance are the calculated ionization potential (IP) for the first and multiple possible ionizations, because such data are used in turn to predict several fundamental chemical and physical properties of the elements and of their compounds (Ginges and Dzuba 2015).
Very accurate calculations have enabled to detail energy and hyperfine structure of atomic states for heavy elements with relatively simple electron structure (Schwerdtfeger et al. 2015;Eliav et al. 2015). Little theoretical data are conversely available on atomic properties of the elements heavier than 105, for which the complicated electron structure with open 6d shell makes it difficult to perform accurate calculations, and approximation methods must be applied (Dzuba 2016).
As regards the positioning of the transactinide elements in the Periodic Table, it has been based on computational analysis and a limited number of experimental observations. However, the obtained results were sufficient to reveal similarities with the chemical behavior of lighter elements and to confirm that the general trends of the periodic properties continued to be still valid, although with some deviations, in the region of superheavy nuclei.
In effect, even if for these elements the relativistic effects induced by the increasingly high nuclear charge strongly influence the electronic configuration (Pershina 2019), the alteration of the electron distribution functions does not totally disrupt the established trends of recurrent features along periods and groups. These considerations, along with computational studies, allowed scientists to integrate the scarce experimentally assessable chemical properties of the new elements and to regard them, on a case-by-case basis, as homologous of lighter elements in corresponding groups.
Discrete Fourier transform (DFT) and multi-configuration Dirac-Fock (MCDF) methods demonstrated that the first nine transactinide elements, from Rf to Cn, have an electronic structure characterized by the progressive filling of 6d shell. For Rf (Z = 104), data of orbital energies suggested the ground-state electronic configuration [Rn]5f 14 7s 2 6d 2 . The occurrence of the first ionization at expenses of the 6d shell indicated that Rf can be regarded as a transition metal of 6d block (Glebov et al. 1989). Similarly to the lighter homologues of the 4-group, Rf was expected to have a chemical behavior characterized by four valence electrons and thus by a stable 4+ oxidation state. Confirmation has been obtained by comparing the calculated first four ionization potentials of Rf and of the other 4-group elements, Hf, Zr and Ti (Johnson et al. 1990).
An external configuration 6d 3 7s 2 has been predicted for the next element, Db (Z = 105), with 5+ as maximum oxidation state like the homologous of the 5-group. However, relativistic effects are already being felt, as resulted by comparison of the calculated IP values for removal of a 6d electron from Db, and of a 6s electron from Ta (Fricke et al. 1993). For Sg (Z = 106), MCDF calculations, confirmed by chemical experiments, suggested the ground-state external configuration 6d 4 7s 2 and the belonging to the 6-group, with IP = 7.85 eV for the loosing of a 6d electron and the possibility of multiple ionizations up to a 6+ state (Johnson et al. 1999).
The element 107 (Bh), with the calculated ground-state 6d 5 7s 2 , is predicted to be a homolog of Re, Tc and Mn in the 7-group. From MCDF computing (Johnson et al. 2002) the energy for the first ionization potential of a 6d electron is 7.7 eV, a value slightly lower with respect to the 7.8 eV for the loosing of a 6s electron in Re, confirming the increasing impact of relativistic destabilization and spin-orbit splitting on the d orbitals of the heavier elements. The comparison of predicted IP values for multiple ionizations of transactinides from 3-up to 7-groups, with IP values measured for the respective lighter homologs, evidenced that SHEs exhibit an increased stability of the maximum oxidation states and, conversely, a stability decreasing of the lower states.
At Z = 108 starts the inversion of the 7s and 6d energy levels. The ground state of Hs is 6d 6 7s 2 . MCDF calculations indicated a value of 7.6 eV for the first ionized electron 6d, and a multiplicity of oxidation states, up to 8+ (Johnson et al. 2002).
For some transactinides, the belonging on a group in the Periodic Table has been agreed only on computational basis. This is the case of Mt, placed in the 9-group even if was not possible to experimentally study its chemistry and to verify similarities with the behavior of the lighter homologs Ir, Rh, and Co. Also, for element 110, Ds, experimental studies are hampered by the very short half-lives of all the produced isotopes. However, significant theoretical investigations allowed to inset elements 109 and 110 in groups 9 and 10, respectively. For Mt was calculated a 6d 7 7s 2 configuration, similar to that of Ir. Conversely, it was found that, due to the relativistic effects, the ground state of Ds is 6d 8 7s 2 , different from that of its lighter homolog Pt (5d 9 6s 1 ). Also, the configuration 6d 7 7s 2 for the first ionizated state of Ds is predicted different from the 5d 9 of Pt+.
The relativistic contraction and stabilization of 7s orbital, a phenomenon that reaches a maximum at Z = 112, is already very effective for element 111(Rg). Several computational methods suggested for Rg a ground-state 6d 9 7s 2 and a chemistry different from the chemistry of the lighter homolog Au (5d 10 6s 1 ) of the 11-group. The strong relativistic effects provoke indeed a decrease of Rg atomic radius and of bond lengths in Rg compounds, contrasting the trends of an increase of such values with increasing Z, established for the homologs of the 11-group. These enhanced effects act also on ionizated states, leading to a configuration of Rg+ (6d 8 7s 2 ) different from the 5d 10 of Au+, and to the stabilization of the higher oxidation states (up to + 6) in Rg.
At Z = 112, the filling of the 6d orbitals is completed and Cn is the last of the transition metals belonging to the 6d block (Gyanchandani and Sikka 2011). The 6d 10 7s 2 closedshell ground state and the maximum of the relativistic stabilization of the 7s orbital led,since 1975, to predict for a 112 element chemical/physical properties very different from those of the homologs in the 12-group (Pitzer 1975). The relativistic coupled cluster method yielded 11.97 eV for the first, and 22.49 eV for the second ionization of Cn. These IP values are the highest not only in the 12-group but in the whole 7th period (Eliav et al. 1995). These data are consistent with an oxidation state zero for Cn. However, the destabilization of the 6d electrons and the inversion of 7s and 6d energy levels enable to foreseen for Cn also a 2+ oxidation state at the expense of 6d electrons, and an increase of stability for a 4+ state. Cn is expected to have an atomic radius of 1.71 Å, the smallest in the 12-group, and the shortest bond lengths in compounds. On the whole, the strong relativistic effects induce in Cn a high chemical inertness, much more pronounced with respect to the lighter homologs in the group (Pershina 2015).
At Z = 113 starts the progressive filling of the 7p orbitals, strongly influenced by relativistic effects that increase along the series, whereas the 7s 2 electrons are made rather inactive due to the even large stabilization in elements from 113 to 118. So, even if these elements are placed in the main groups of the Periodic Table where the chemistry is traditionally 1 3 determined by the behavior of "s" and "p" external electrons, for elements from Nh to Og the trends of properties already assessed for the lighter homologs are expected to show exciting deviations.
The gas chromatography studies of the Nh (Z = 113) isotopes obtained at RIKEN allowed to suggest the 6d 10 7s 2 7p 1 1/2 configuration and, therefore, the belonging of Nh to 13-group, but prevented an unambiguous chemical speciation of the element (Türler et al. 2015). More information on the chemistry of Nh was obtained later by the Dubna team, that performed adsorption experiments after a physical preparation of Nh samples (Aksenov et al. 2017), finding agreement with the Nh gas-phase behavior predicted by relativistic density functional theory. However, as recently pointed out by Eichler (2019a), a definitive chemical characterization of Nh has not yet been reached.
The stabilization of the 7p orbitals and the quasi-closed 7s 2 7p 2 1/2 ground-state structure induced by the spin-orbit coupling suggested that element 114 (Fl) could have a behavior similar to that of an inert gas, and a zero electron affinity (Borschevsky et al. 2009). Recent calculations give for the first ionization potential a value of 8.626 eV, evidencing an inversion in the trend of IP values of 14-group. Such values, after the decrease from C to Sn, start to increase again from Sn to Fl. Experiments of Fl adsorption on Au confirmed the general trend of decreasing metallic character going down along 14-group, and the reaching for Fl of a maximum oxidation state of 2+. Interesting, the data achieved by challenging chemical experiments indicated a totally new state for Fl, featuring properties of a gaseous noble metal.
In the case of Mc (Z = 115), the limited production of its short-lived isotopes has hampered so far experimental measurements, and the properties of the element and its compounds can be only theoretically predicted (Pershina 2014). The proposed ground-state configuration 7s 2 7p 2 1/2 7p 1 3/2 indicates that Mc can be considered an element of 15-group. However, notable differences with the chemistry of lighter homologs Bi and Sb are likely to arise from the lowering of the 7s and the 7p orbitals' energy and, moreover, by the sub-shell splitting of these last electronic levels (Faegri and Trond 2001;Santiago and Haiduke 2020). In effect, Mc is characterized by two inert electron pairs (7s 2 and 7p 2 1/2 ) and by one 7p 1 3/2 electron at the higher energy. This would explain the rather low IP value of 5.579 eV obtained from DCB calculations (Eliav et al. 1998b). Overall, Mc can be considered to have a predominant metallic character, with Mc + 1 as the more stable oxidation state, and Mc + 3 as the only other possible state.
Experimental difficulties have been faced also in the investigation of elements 116 and 117, for which there is still a lack of experimental data. For Lv (Z = 116), recent calculations performed in the framework of the Dirac-Coulomb Hamiltonian, and corrected for the Breit and quantum electrodynamics (QED) contributions. provided accurate values of IP for the elements and for its ions (Borschevsky et al. 2015). The computed data of energies and IPs values of Lv and Lv + evidenced a strong influence of the electron correlation effects.
As regards element 117 (Ts) with the external electron configuration 7s 2 7p 2 1/2 7p 3 3/2 , a behavior significantly different from those of the homologous of the 17-group has been predicted. However, the lack of experimental data did not enable so far to define any chemical/physical property. Based on the trend of the electron affinity values exhibited by the halogens, Ts was supposed to have a low propensity to gain one extra electron and complete the valence shell. Fully relativistic calculations confirmed the trend of electron affinity to decrease going down the 17-group and provided actually the negative value of − 0.25 eV for the standard reduction potential Ts/Ts − . Overall, for Ts has been suggested a metalloid character, similar to that of the previous halogen at Pershina (2014).
At Z = 118 (Og), the filling of the p shell is completed, and Og has the close-shell configuration 7s 2 7p 2 1/2 7p 4 3/2 . However, Og can hardly be considered an inert element as the lighter homologs of the 18-group. For this element, a positive electron affinity of 0.056 eV and an ionization potential of 8.914 eV have been theoretically predicted (Pershina et al. 2008). Whereas the ionization potential of Og is lower than the one expected from the extrapolation of the measured IPs for elements of the 18-group, the calculated polarizability is found significantly larger. The more efficient van der Waals interactions make the Og-Og bonds stronger than the Rn-Rn ones (Smits et al. 2020). All these calculated atomic properties indicate that the relativistic effects on the outer 7p orbitals play in Og an increasingly important role, making this element chemically more reactive than its position in the 18-group would imply (Pershina 2019).
Oganesson (Og), the last man-made element accredited up till now, represents an interesting example of how for heavy elements the chemical/physical properties cannot be merely predicted by a linear extrapolation of data measured for the homologous of the group. To get reliable values of the transition energies, i.e., ionization potentials, excitation energies and electron affinities for transactinides, a successful approach was the development of high precision theoretical methods able to take into account simultaneously relativistic and correlation effects. These methods were applied also to a series of heavy elements for which experimental data were available, demonstrating that the computing tools allow to predict the unmeasured atomic properties of the transactinides with an accuracy of few tens of eV  6 Is there any chance for elements beyond Z = 118?
These reliable theoretical skills have been further exploited to anticipate the electronic configurations of elements still not generated. Based on Dirac-Fock (DF) calculations of atomic ground states, a periodic table up to Z = 172 had been proposed in 1971 (Fricke et al. 1971). Later, developments of DF method (extended average level DF), allowed to better define the configurations of elements in a future enlarged Table (Pyykkö 2011). In these studies, the building up of the electronic structure of the unknown atoms and their insertion in the Periodic Table have been performed by considering the occurrence of a further type of orbitals, the "g" ones. Therefore, the shell-filling order for the elements 119-172 is: 8s < 5g ≤ 8p 1/2 < 6f < 7d < 9s < 9p 1/2 < 8p 3/2 . Following these previsions, elements 119 and 120 would open the 8th period, that starts with the filling of the 8s orbitals. The theoretical studies performed on these elements, homologs of the corresponding metals of the 1-and 2-group, evidence that the relativistic contraction of the 8s orbitals would strongly affect their chemical/physical properties (Borschevsky et al. 2013a, b).
As examples, differences are foreseen in the intermetallic M-M bonding, with values of dissociation energies for elements 119 and 120 contrasting in both cases the trends established for the homologous of the respective 1-and 2-group (Pershina et al. 2012). For the next element, Z = 121, the relativistically stabilized 8p 1/2 sub-shell would lead to a ground-state electronic configuration 8s 2 8p 1 1/2 , in contrast with the configuration extrapolated from the last two homologous of the 3-group, Ac and La (Eliav et al. 1998a).
The building up of the element 122 would occur by addition of a 7d electron, so it is predicted to have an 8s 2 7d 1 8p 1 ground state different from the 7s 2 6d 2 state of Th. This is the last element for which accurate Dirac-Coulomb-Breit (DCB) calculations have been performed. For heavier elements, the computation becomes more complicated because of the existence of the 5g orbitals and of the fact that all the involved orbitals (7d, 6f, 5g, 9s, 9p, 8p) have very close energies, so that to form a quasi-continuum where the levels are no more clearly distinguishable.
For elements with Z > 122, a series of calculations and data interpretations suggested over the years various schemes of electronic ground-states arrangements, but the task to place them in an expanded Table is far from being completed. A rather conclusive outcome based on quantum electrodynamics asserted that the Periodic Table should end at Z = 173 (Greiner et al. 1985). However, this prediction has been further restricted by more recent considerations, pointing that repulsive Coulomb effects will set the limit near Z = 120 (Möller 2016).
Early predictions of chemical/physical features of SHE played a key role in the planning of the experiments for the synthesis of transactinides, and are thought to be more and more fundamental for the discovery of elements heavier than Z = 118. This rests, indeed, a very intriguing task in spite of the several demanding attempts ongoing in highlevel nuclear centers. In particular, at GSI, from 2012, Ti beams bombarding 249 Bk or 249 Cf targets are being used in searching for elements 119 and 120, respectively, whereas at Dubna and Riken, the discovery of 119 element is currently attemped using a vanadium (V) beam and Cm targets. So far, all the experiments were not successful.
Both computational studies and experimental evidences demonstrated that the synthesis of the 8s-block elements will be much more challenging than that of the previous artificial elements, and that the current technologies had likely However, considering that with Z increasing, the production cross sections strongly decrease, even using more intense beams, such nuclei would be generated at a rate still lower than the one of Ts (1 atom/week) or of Og (1 atom/ month). Moreover, the ever-increasing rate of spontaneous fission with Z suggests that the half-lives of any produced 119 or 120 isotope would range from milliseconds down to microseconds, making very hard to experimentally investigate such nuclei and rather impossible those with larger Z.
Although the researches for elements 119 and 120 are not being stopped, in some laboratories, a revision of objectives is going on. Instead of continuing with the hunt for still unknown elements, investigations are focused on the already discovered SHEs for which only very limited experimental data are available. And, in particular, efforts are spent trying to produce neutron-rich isotopes of elements with Z in the 106-114 range. These elements are indeed the more close to the regions of the nuclide chart where peculiar ground-state shell effects could make isotopes of superheavy elements unexpectedly stable against spontaneous fission.

Understanding technological limits: a new twist
A strong experimental evidence in favor of such hypothetical island of stability has been provided by the discovery of elements with Z > 104, that ideally should not exist at all, and, in 1 3 particular, by the production of some isotopes with lifetimes remarkably longer than the predicted (Möller 2016). The most convincing evidence would be provided by the creation of the double-magic 298 Fl isotope with Z = 114 and N = 184. But, in the meantime, promising signals come from some isotopes of Tennessine (Z = 117). For 293 Ts (N = 176) and 294 Ts (N = 177), half-lives of 25 ms and 70 ms, respectively, have been measured (Kondev et al. 2021), showing that such isotopes survive much more than expected (Oganessian et al. 2017). This and other experimental findings seemed to confirm that, for nuclei with Z and N approaching the "magic" numbers, shell effects are able to counteract the instability due to Coulomb repulsion and to reverse the trend exhibited by the Z > 96 elements of a nuclear stability decreasing with Z increasing. A first glance at Fig. 4 highlights that the existence of hypothetical, long-living, quasi-stable SHEs would be limited to a restricted region of the nuclide chart, localized in the neutron-rich right side of the stability line. Whereas the prediction for stability islands in the nuclide chart opened an exciting scenario on the extreme limit of existence of matter, the moving from conceptualization to experiments was found extremely hard. To get as close as possible to these regions demonstrated to be an insurmountable difficulty using any of the standard types of nuclear reactions used so far to produce artificial elements.
Fission and fragmentation, the only reactions able to generate neutron-rich nuclides, are limited to production of elements up to Z = 92. On the other hand, the various fusion reactions that had allowed to synthesize superheavy nuclei and discover the transactinides, are intrinsically inadequate to produce isotopes with the neutron richness matching the theoretical requirements. Fusion reactions could produce isotopes with at most 177 neutrons, a result achieved only in 294 Ts and 293 Lv, the isotopes most close to the foreseen stability region among all the discovered ones (Oganessian and Utyonkov 2015). Therefore, to go further inside the neutronrich region and to approach as much as possible the stability island, different reaction mechanisms are required and the challenge is the development of novel nuclear paths.
In this context, it has been thought that a chance could be given by the deep inelastic collisions occurring in the so-called multi-nucleon transfer (MNT) reactions, processes applied in the 1960s to produce neutron-rich isotopes of elements up to Th (Fowler et al. 1986). The mechanism of such reactions is based on the formation of "molecular-like" projectile-target systems. This first step is followed by a large exchange of nucleons between the two interacting nuclei (Adamian et al. 2020a). Recent experiments carried out at GSI produced new neutron-deficient isotopes of some transuranium elements, but model calculations predict that MNT reactions could enable to produce also the more long-living SHE isotopes located around the stability island (Adamian et al. 2020b).

Emerging questions, new horizons
Although in the exhibit room of RIKEN Nishina Center is displayed a LEGO-made three-dimensional nuclide chart showing the many possible combinations of protons and neutrons (En'yo 2019), the creation of new elements is not like a children construction game. As proven by more than seventy years of experiments, immense technical difficulties are encountered trying to merge two nuclei with the proper number on neutrons and protons to produce a nucleus in the upper part of the chart. But the studies had never been stopped. Conversely, computational and experimental researches were strongly pushed on, because there are several significant scientific aspects related to the discovery of elements at the edge of the periodic table.
A fundamental point to be assessed is how much the trends of properties and chemical behavior along groups are still fullfilled in superheavy elements. Up to about element 120, the deviations produced by relativistic effects influence certainly the chemical properties, but do not seem to completely destroy the systematic ordering of the elements, that still matches their atomic configurations.
For Z > 120, conversely, the extreme closing of the orbitals energy is expected to interrupt the chemical periodicity (Jerabek et al. 2018).
This expectation arises a basic question related to the existence of a boundary not only for the table but rather for the elements themselves. If in an atom the outermost electrons are no more described by a well defined configuration, and if there are no real shells to speak, the very concept of chemical element vanishes. Moreover, atoms that decay with times too short to enable any chemical process can hardly be qualified as real elements. In this view, IUPAC recalled in May 2018 (Hofmann et al. 2018) that only atoms with lifetime longer than 10 -14 s may be considered elements. By the way, this threshold is demeed too broad by some chemists. So, one hypothesis is that nuclear experiments designed to produce new nuclei at the farthest extremes of the nuclide chart would lead more to dense aggregates of nucleons than to chemical elements with properties matching their position in an expanded periodic table.
The other hypothesis is that at the end the close cooperation of scientists all around the world will enable to reach the long-sought stability island predicted by theoretical studies, and that new, long-lived superheavy elements will be created. Whether such inspired goal will be reached or not, the search for elements at the limit of the periodic system has in any case achieved, and is still achieving, high returns in both technology and basic sciences.
The large amount of experimental data provided a direct check of the basic statements of nuclear theories (Seyydi 2021), and projected the present nuclear technology toward the future scenario of an even more enlarged table of the elements. Until now, the table demonstrated to be a valid tool in ordering the more than 50 natural or artificial elements discovered during the past one and half centuries (Eichler 2019b;Scerri and Restrepo 2019). Notably, it is impressive that also the various transactinides could be added to the groups of the original Mendeleev's scheme on the basis of their electronic configurations deduced from strenuous, challenging chemical experiments (Ball 2019). But the outputs of the theoretical and experimental studies about superheavy nuclei can open also somewhat unexpected scenarios in astrophysics.
The prevision of nuclear properties for 9318 isotopes of 129 elements with 8 ≤ Z ≤ 136 , and the successful creation of elements at the far end of the Periodic Table by high-energy nuclear reactions, leave open the question if still unknown intriguing nuclei could be present somewhere in the Universe. It is to be noted that some models predict lifetimes up to millions of years for the hypothetical nuclei that mankind is trying to produce right now, but that may have been generated through rp, r or spaths, nuclear processes occurring under the strong conditions of the early galactic history. It is to be remembered that the sites for the r processes, that produced the naturally existing heavy nuclei, are still unknown, and that their identification is among the eleven great opened questions of the twenty-first century (National Research Council 2003).
By the discovery of unknown elements, the modern researchers realized the old dream of alchemists that over many centuries attemped to create precious metals by chemical reactions, but the relevant scientific outputs gave a chance to look deeper in our concept of matter at extreme boundaries, and the scientific community has already obtained something much more valuable than gold.