A neutral atom with atomic number 20 will have 20 electrons. The atomic number is, by definiton, the number of protons in an atom's nucleus but for a neutral atom it's also equal to the number of electrons. Each element has a different, unique number of protons that determines its identity.
Nuclear Stability is a concept that helps to identify the stability of an isotope. The two main factors that determine nuclear stability are the neutron/proton ratio and the total number of nucleons in the nucleus.
Atomic Numbers of Elements 1-20 Learn the first 20 elements and their corresponding atomic numbers. The atomic number defines the number of protons (positive charges) in the atom of a given element. Atomic Number Name Symbol Standard atomic weight Group Period. 1 Hydrogen H 1.00794(7)2 3 4 1 1. 2 Helium He 4.002602(2)2 4 18 1. 3 Lithium Li 6.941(2)2 3 4 5 1 2. Since the atomic number of calcium is 20 and the charge is positive, this means the ion has 20 - 2 or 18 electrons. Calcium (Ca) is a silvery-white soft metal that has the atomic number 20 in the periodic table. It is an Alkaline Earth Metal and is located in Group 2 of the periodic table. It has the symbol Ca.
Introduction
A isotope is an element that has same atomic number but different atomic mass compared to the periodic table. Every element has a proton, neutron, and electron. The number of protons is equal to the atomic number, and the number of electrons is equal the protons, unless it is an ion. To determine the number of neutrons in an element you subtract the atomic number from the atomic mass of the element. Atomic mass is represented as ((A)) and atomic number is represented as ((Z)) and neutrons are represented as ((N)).
[A=N + Z label{1}]
The principal factor for determining whether a nucleus is stable is the neutron to proton ratio. Elements with ((Z<20)) are lighter and these elements' nuclei and have a ratio of 1:1 and prefer to have the same amount of protons and neutrons.
Example (PageIndex{1}): Carbon Isotopes
Carbon has three isotopes that scientists commonly used: ( ce{^12C}), ( ce{^13C}), ( ce{^14C}). What is the the number of neutron, protons, total nucleons and (N:Z) ratio for the ( ce{^12C}) nuclide?
Solution
For this specific isotope, there are 12 total nucleons ((A)). From the periodic table, we can see that (Z) for carbon (any of the isotopes) is 6, therefore (N=A-Z) (from Equation ref{1}):
[12-6=6 nonumber]
The N:P ratio therefore is 6:6 or a 1:1. In fact 99% of all carbon in the earth is this isotope.
Exercise (PageIndex{1}): Oxygen
Identify the number of neutron, protons, total nucleons and N:Z ratio in the ( ce{^12_8O}) nuclide?
Elements that have atomic numbers from 20 to 83 are heavy elements, therefore the ratio is different. The ratio is 1.5:1, the reason for this difference is because of the repulsive force between protons: the stronger the repulsion force, the more neutrons are needed to stabilize the nuclei.
Neutrons help to separate the protons from each other in a nucleus so that they do not feel as strong a repulsive force from other.
Atomic Number 20 Element
Isotope Stability
The graph of stable elements is commonly referred to as the Band (or Belt) of Stability. The graph consists of a y-axis labeled neutrons, an x-axis labeled protons, and a nuclei. At the higher end (upper right) of the band of stability lies the radionuclides that decay via alpha decay, below is positron emission or electron capture, above is beta emissions and elements beyond the atomic number of 83 are only unstable radioactive elements. Stable nuclei with atomic numbers up to about 20 have an neutron:proton ratio of about 1:1 (solid line).
The deviation from the (N:Z=1) line on the belt of stability originates from a non-unity (N:Z) ratio necessary for total stability of nuclei. That is, more neutrons are required to stabilize the repulsive forces from a fewer number of protons within a nucleus (i.e., (N>Z)).
The belt of stability makes it is easy to determine where the alpha decay, beta decay, and positron emission or electron capture occurs.
- Alpha (alpha) Decay: Alpha decay is located at the top of the plotted line, because the alpha decay decreases the mass number of the element to keep the isotope stable. This is accomplished by emitting a alpha particle, which is just a helium ((ce{He})) nucleus. In this decay pathway, the unstable isotope's proton number (P) is decreased by 2 and its neutron ((N)) number is decreased by 2. The means that the nucleon number (A) decreases by 4 (Equation ref{1}).
- Beta (beta^-) Decay: Beta (beta^-) decay accepts protons so it changes the amount of protons and neutrons. the number of protons increase by 1 and the neutron number decreases by 1. This pathway occurs in unstable nuclides that have too many neutrons lie above the band of stability (blue isotopes in Figure (PageIndex{1})).
- Positron (beta^+) Decay: Positron (beta^+) emission and electron capture is when the isotope gains more neutrons. Positron emission and electron capture are below the band of stability because the ratio of the isotope has more protons than neutrons, think of it as there are too few protons for the amount of neutrons and that is why it is below the band of stability (yellow isotopes in Figure (PageIndex{1})).
As with all decay pathways, if the daughter nuclides are not on the Belt, then subsequent decay pathways will occur until the daughter nuclei are on the Belt.
Magic Numbers
The Octet Rule was formulated from the observation that atoms with eight valence electrons were especially stable (and common). A similar situation applies to nuclei regarding the number of neutron and proton numbers that generate stable (non-radioactive) isotopes. These 'magic numbers' are natural occurrences in isotopes that are particularly stable. Table 1 list of numbers of protons and neutrons; isotopes that have these numbers occurring in either the proton or neutron are stable. In some cases there the isotopes can consist of magic numbers for both protons and neutrons; these would be called double magic numbers. The double numbers only occur for isotopes that are heavier, because the repulsion of the forces between the protons. The magic numbers are:
- proton: 2, 8, 20, 28, 50, 82, 114
- neutron: 2, 8, 20, 28, 50, 82, 126, 184
Also, there is the concept that isotopes consisting a combination of even-even, even-odd, odd-even, and odd-odd are all stable. There are more nuclides that have a combination of even-even than odd-odd. Just like there exist violations to the octet rule, many isotopes with no magic numbers of nucleons are stable.
Proton number (Z) | Neutron Number | # of stable Isotopes |
---|---|---|
Even | Even | 163 |
Even | Odd | 53 |
Odd | Even | 50 |
Odd | Odd | 4 |
Note
Although rare, four stable odd-odd nuclides exist: (ce{^2_1H}), (ce{^{6}_3Li}), (ce{^{10}_5B}), (ce{^{14}_7N})
Unstable or Stable
Here is a simple chart that can help you decide is an element is likely stable.
- Calculate the total number of nucleons (protons and neutrons) in the nuclide. If the number of nucleons is even, there is a good chance it is stable.
- Are there a magic number of protons or neutrons? 2,8,20,28,50,82,114 (protons), 126 (neutrons), 184 (neutrons) are particularly stable in nuclei.
- Calculate the N/Z ratio and use the belt of stability (Figure (PageIndex{1}):) to determine the best way to get from an unstable nucleus to a stable nucleus
Exercise (PageIndex{1})
Using the above chart state if this isotope is alpha-emitter, stable, or unstable:
- (ce{^{40}_{20}Ca})
- (ce{^{54}_{25}Mn})
- (ce{^{210}_{84}Po})
Add texts here. Do not delete this text first.
Exercise (PageIndex{2})
If the isotope is located above the band of stability what type of radioactivity is it? what if it was below?
Based off the belt of stability:
- Stable, because this Ca isotope has 20 neutrons, which is on of the magic numbers
- Unstable, because there is an odd number (25 and 29) of protons and neutrons
- Alpha-emitter, because Z=84, which follows rule/step one on the chart
Exercise (PageIndex{3})
Carbon is stable
Carbon is stable
Exercise (PageIndex{4})
Name one of the isotopes that consist of odd-odd combination in the nuclei?
Hydrogen-2, Lithium-6, Boron-10, nitrogen-14
References
- Olmsted III, John and Gregory M William. Chemistry Fourth Edition. John Wiley and Sons Inc:NJ, 2006.
- Petrucci, Ralph H., William S. Harwood, F. Geoffrey Herring, Jeffry D Madura. General Chemistry. Pearson Education Inc: NJ, 2007.
Atomic Number 20 On Periodic Table
The atomic mass of an element is the average mass of the atoms of an element measured in atomic mass unit (amu, also known as daltons, D). The atomic mass is a weighted average of all of the isotopes of that element, in which the mass of each isotope is multiplied by the abundance of that particular isotope. (Atomic mass is also referred to as atomic weight, but the term 'mass' is more accurate.)
For instance, it can be determined experimentally that neon consists of three isotopes: neon-20 (with 10 protons and 10 neutrons in its nucleus) with a mass of 19.992 amu and an abundance of 90.48%, neon-21 (with 10 protons and 11 neutrons) with a mass of 20.994 amu and an abundance of 0.27%, and neon-22 (with 10 protons and 12 neutrons) with a mass of 21.991 amu and an abundance of 9.25%. The average atomic mass of neon is thus:
0.9048 | × | 19.992 amu | = | 18.09 amu |
0.0027 | × | 20.994 amu | = | 0.057 amu |
0.0925 | × | 21.991 amu | = | 2.03 amu |
20.18 amu |
The atomic mass is useful in chemistry when it is paired with the mole concept: the atomic mass of an element, measured in amu, is the same as the mass in grams of one mole of an element. Thus, since the atomic mass of iron is 55.847 amu, one mole of iron atoms would weigh 55.847 grams. The same concept can be extended to ionic compounds and molecules. One formula unit of sodium chloride (NaCl) would weigh 58.44 amu (22.98977 amu for Na + 35.453 amu for Cl), so a mole of sodium chloride would weigh 58.44 grams. One molecule of water (H2O) would weigh 18.02 amu (2×1.00797 amu for H + 15.9994 amu for O), and a mole of water molecules would weigh 18.02 grams.
The original periodic table of the elements published by Dimitri Mendeleev in 1869 arranged the elements that were known at the time in order of increasing atomic weight, since this was prior to the discovery of the nucleus and the interior structure of the atom. The modern periodic table is arranged in order of increasing atomic number instead.