A Simplified Method for Estimating Atomic Number and Neutrons Numbers of Elements Based on Period and Group Numbers in the Periodic Table

This research has proposed formulas, in which the atomic number and neutron numbers to any element in the periodic table are determined according to element position in the periodic table. These formulas have been arranged to fit with periodic system of elements in the IUPAC's Periodic Table. The main outcome is to introduce layout regularity, which may reflect the regularity of the periodic law more faithfully. In this research, atomic number to any element in the periodic table is predictably calculated by the group and period numbers which were displayed into 7 Periods horizontally, and 18 Groups vertically, determining and dispensing altogether the elements positions at the periodic system. Application of these proposed formulas showed linearity from has good agreement with these separated elements of Lanthanum in the f-block elements (Lanthanides and Actinides), which were in no interruptions in the sequence of increasing atomic numbers. In addition, the relationship of the f-block to the other blocks of the periodic table also becomes easier to see. In addition, the formulas are extensible to expanding future table and allowed determining the atomic number of the future elements starting from 119 till the element of 136, at the main body of the periodic table, and can be used as a simple and alternative method for determine the numbers of atomic and neutron in the IUPAC's Periodic Table.


INTROdUCTION
The periodic table is a masterpiece of organised chemical information.However, there no one single or best structure for the periodic table, but most standard form of chemistry's periodic table is the current form of the IUPAC's.There was not a really advanced step till the 1869 when Russian chemistry professor Dmitri Mendeleev achieved a revolutionary improvement in the main body of the periodic table of elements.Mendeleev published his tabulated element in a paper in which he drawn a tabular arrangement of the chemical elements as each the 63 known elements were arranged in groups according to their properties 1 (Bent, and Weinhold, 2007), this step allowed him to recognize that there is a clear pattern in which the elements were columned whenever the atomic mass number was decreased 6,7 (IUPAC, 2015; Kaji, 2004).However, Mendeleev left gaps in his table whenever he did not found the suitable elements to fill these gaps, thus he was able to have predictions about the properties to the missed elements, and he also gave detailed predictions for the properties of elements he had earlier noted were missing, but should exist.
The first outcomes from Mendeleev's table came in 1875 when Gallium element was discovered to fill the gap 7,5 according to predicted properties predicted by Mendeleev's table, later Germanium and Scandium elements also proved the Mendeleev's table predictions filling the gaps (Kaji, 2004;Hinrichs, 2017).In 1913, the second revolutionary improvement in the periodic table achieved by Henry Moseley, by rearranging the table according to increasing in the atomic number instead the previous indication of the atomic mass number 8 (Karol, 2002;Kaji, 2004).Moseley's table was internationally adopted as it allowed successfully adding all current and these new discovered elements with their predicted properties, and his organization of the periodic table can be used to derive relationships between the various element properties, but also the predicted chemical properties and behaviours of undiscovered or newly synthesized elements.More advanced development was added to the periodic table by Glenn Seaborg, an American scientist.In 1945 Seaborg made the suggestion that the actinide elements, like the lanthanides, were filling an sub-level 9 (Bent, and Weinhold, 2007;Koppenol, 2002).Seaborg's suggestion was found to be correct and he subsequently went on to win the 1951 Nobel Prize in chemistry for his work in synthesizing actinide elements 12  (Gorin,1996;Hinrichs, 2017).In 2010, a joint Russia-US collaboration claimed to have synthesized six atoms of element 117 (Tennessine) 11  (Gordin, 2004), making it the most recently claimed discovery.
The periodic table is arranged in order of atomic number.The atomic number is usually in the top left or top right corner of the element's box, but it could be in a different spot.This is always a whole number.An element's atomic number is the number of protons in the nucleus of a single atom of that element 12,13 (Orlando, 2000; Siegfried, 2002).
The atomic number of an element or isotope cannot change, so it can use the atomic number to help figure out other characteristics, such as the number of electrons and neutrons in an atom.Therefore it can be concluded that this is the fundamental definition of an element as the number of protons determines the total electric charge of the nucleus, which determines how many electrons the atom can support.Because electrons are responsible for almost all chemical interactions 11  (Niaz, 2004), the atomic number indirectly sets almost all of the element's physical and chemical properties.Some scientists prefer the term "relative atomic mass" instead of atomic weight 1 (Ben-Zvi, & Genut,1989).The mass number is the total number of protons and neutrons in one atom of an element.This is easy to find: just take the atomic weight printed on the periodic table, and round to the nearest whole number 14  (Russo & Silver, 2002).However, using the atomic weight means getting an average for a typical sample.A Bromine sample has an average mass number of 80, but as it turns out, a single Bromine atom almost always has a mass number of 79 or 8 16,13  (IUPAC, 2015; Silberberg, 2006).Therefore it can be concluded that the atomic number is consequently the number of protons in an atom of an element.Also, this obviously tells us that an atom protons in its nucleus.Therefore, calculation the number of neutrons can be gotten by subtracting the atomic number from the mass number.Thus, the mass number is a count of the number of particles in an atom's nucleus.In general, the nucleus is made up of protons and neutrons.So, the interesting thing here is that it can be written as demonstrated in formula a 6 (IUPAC, 2015): If it is known how many protons element has, it could figure out how many neutrons it has.The adding or removing neutrons from an atom does not create a different element.Rather, it creates a heavier or lighter version of that element, which are called isotopes 10 ( McMurry & Fay, 2001) In this research, the Atomic Number is identified by using this technique discussed in forms b&c.In order to determine the Atomic Number of each element at any part of the periodic table, 17 formulas were developed in this research depending on the number of Periods (rows) and Groups (columns), which are depicted according to the periodic table.

MATERIALS ANd METHOdS
The research is design to deal with the current periodic table, without any change in the arrangement of elements that vertically presents the periods, and horizontally the groups systemized in the IUPAC's table .As depicted in the periodic table, 7 rows (Periods) are divided horizontally, whereas at the columns (Groups), elements were vertically listed within 18 columns.According to period's number and group's number, this research tried to build leaner formulas to determine both the Atomic and Neutrons Numbers to any element in the periodic table.To obtain the Mass Number, the researcher rounded the atomic weight to the nearest whole number for 118 elements.

Outcomes of formulas
As mentioned earlier, the IUPAC's periodic table is consisted from 118 elements into 18 Groups (G), and 7 Periods (P), as depicted in Fig. 1.Therefore, table view with all properties & details of their accumulated elements are used in this research.Graphically, Fig. 1 detailed this arrangement in the IUPAC's periodic table, as following.

Fig. 1. Typical periodic table and details of its accumulated elements (IUPAC, 2015)
Building on the elements tabulated in Fig. 1, there are 18 columns (Groups), and 7 rows (periods) in the periodic table accumulate 118 elements.For example Hydrogen is located in Group 1 and Period 1, whereas Thallium is located in Group 13 and Period 6.Also, Lanthanides and Actinides splitting down the central body of the table at Periods 6 and 7, and snapped with Group 3. Thus, elements from (57 till 71), are located in period 6 and Groups (3 till 17), whereas elements from (89 till 103), are located down at Groups (3 till 17).Consequently, there is a relationship between the Atomic number and the Period and Groups' number in the periodic table through which we can produce simple equations to obtain the atomic number to any element at the periodic table if we have its period and group number.From this point, this research has listed these formulas which can be used to predict the atomic number to any element according to its position's number of period and group.Table 1 detailed these 118 elements in the periodic table according to their period and group numbers.

Calculation of atomic number
In order to determine the atomic number of each element at any part of the table, this research adopt 17 formulas depend on the number of Periods (P), and Groups (P) at which the element is located as depicted in Table 1.In this research, regulation steps were adopted to identify the atomic number according to the period and group number, as following:
Although, the majority of elements exist as isotopes, isotopes have the same number of protons but they vary in the numbers of neutrons.However, a nucleus of each chemical element consists of protons, neutrons and electrons.The mass number of an element refers to the sum of the number of protons and neutrons.Note that the atomic number is equivalent to the number of protons as well as to the number of electrons.As depicted in Table 2, the average of the ratio of (Mass Number of previous element/ The Mass Number of the next element), located in period 7 and groups from 4 till 18 in the periodic table indicated a ratio of (0.98892) peaks related to the Mass numbers of these 15 elements, which are built on a leaner chain of elements starting from element Rf till Og.

Key findings
Throughout this paper, elements positions were described according to period and groups numbers in the periodic table.Period and group's numbers used to determine the Atomic Number and Neutrons Numbers to any elements, through which 17 formulas were produced.Therefore it can be concluded that determining the Atomic Numbers and Neutrons Numbers to any elements, are directly linked to the numbers of period and group in the periodic table.Results showed that there is only a rate of 0.084% of obtained formulas with period numbers can be used to determine the Atomic Numbers and then the Neutrons Numbers, whereas the majority of 99.91% depended on group's numbers to be used in formulas to determine the Atomic numbers and the Neutrons Numbers.The findings from this study suggest that only 10 elements the periodic table, (from H till Ne), used formulas with period members, whereas majority of 108 elements only needed to use numbers of group in their formulas.These results would seem to suggest that the Atomic Number, Electrons Number and Neutrons Numbers of elements have been successfully calculated by these formulas.Correspondingly, these leaner formulas were usefully implemented to predict the Atomic Number, Mass Number and Neutrons Numbers of the future elements.The results of this study shown that average of the obtained ratio (0.98892) of elements from Rf till Og has no significant change on the amount of Mass Number produced in this one period (number 7).Therefore it can be concluded that the sample of next 19 elements after Og may will have their Mass numbers and then the Neutrons Numbers by the similar leaner ratio, as depicted in Fig. 2 and Table 2.

CONCLUSION
The periodic table plays a critical role in the teaching and learning of chemistry.Since its inception, the form of the periodic table is proposed as its fundamental graphic representation.This idea is easily obtained from the linear succession of the elements when they are ranged in groups and periods by growing atomic number in IUPAC's two-dimensional table.In this research, the period and group numbers were used to produce formulas to determine the Atomic Number, and Neutrons Numbers to 118 elements in the periodic table.Therefore it can be concluded that despite common methods for calculation and determination, here are some simples and regulatory formulas which control , and most elements are actually a mixture of different isotopes.Building on the previous discussion, the Atomic Number can be linked with the Mass Number and the Number of Neutrons by different connections as the following

Fig. 2 .
Fig. 2. The average of the ratio of the Mass Number of previous element/ The Mass Number of the next element, which are built on a leaner chain of 15 elements, (from element Rf till Og), located in period 7 and groups from 4 till 18 in the periodic table

Table 2 .
Atomic Number, which links between Mass Number, and Number of Neutrons, it is easy to link it with the formulas obtained in this research, as following: Also, table 2 shows this application implemented on samples of 118 elements accumulated in the periodic table.

Table 2 : Formulas to determine Atomic, Neutrons numbers of elements in the periodic table
levels of active calculation ways among the Mass Number, Atomic Number, and Neutrons Numbers.In shortage of similar implications, such simple formulas may play a critical role in the teaching and learning of chemistry.Researching atomic coding formulas for the elements will be accumulated by present research group.Thus, the originality of this research will become more apparent by identifying the results of this study shown that location of elements at the periods and groups have significant role on produce simple layouts of formulas to determine the amount of Atomic Number as well as the Mass and Neutrons Numbers in the periodic table.Another possible area of future research would be to investigate why the 17 modifications of the conventional calculations are practically fitted with the 19 future elements which provide important insights into a new horizon to the future researches.