Write and also interpret signs that depict the atom number, fixed number, and also charge of an atom or ionDefine the atom mass unit and average atomic massCalculate median atomic mass and isotopic abundance

The advance of modern-day atomic theory revealed much around the inner structure of atoms. It to be learned that an atom includes a very little nucleus created of positively fee protons and also uncharged neutrons, surrounding by a much larger volume of room containing negatively charged electrons. The nucleus includes the majority of one atom’s mass since protons and also neutrons are much heavier 보다 electrons, conversely, electrons accounting almost all of an atom’s volume. The diameter of one atom is on the bespeak of 10−10 m, whereas the diameter that the nucleus is approximately 10−15 m—about 100,000 time smaller. For a perspective about their relative sizes, think about this: If the nucleus to be the size of a blueberry, the atom would certainly be about the size of a football stadium (Figure 1).

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Figure 1. If an atom can be broadened to the dimension of a football stadium, the nucleus would certainly be the size of a single blueberry. (credit middle: alteration of work-related by “babyknight”/Wikimedia Commons; credit transaction right: change of work-related by Paxson Woelber)

Atoms—and the protons, neutrons, and also electrons that create them—are exceptionally small. Because that example, a carbon atom weighs much less than 2 × 10−23 g, and also an electron has a charge of less than 2 × 10−19 C (coulomb). As soon as describing the nature of tiny objects such as atoms, we use appropriately little units that measure, such as the atomic mass unit (amu) and the fundamental unit of fee (e). The amu was initially defined based on hydrogen, the lightest element, then later on in regards to oxygen. Because 1961, it has actually been characterized with regard come the most abundant isotope the carbon, atoms of which are assigned masses of specifically 12 amu. (This isotope is known as “carbon-12” as will be questioned later in this module.) Thus, one amu is precisely \frac112 of the massive of one carbon-12 atom: 1 amu = 1.6605 × 10−24 g. (The Dalton (Da) and the unified atomic mass unit (u) are alternative units the are tantamount to the amu.) The fundamental unit of charge (also dubbed the primary school charge) equals the size of the charge of one electron (e) v e = 1.602 × 10−19 C.

A proton has actually a mass of 1.0073 amu and also a charge of 1+. A spirit is a contempt heavier bit with a fixed 1.0087 amu and a fee of zero; together its name suggests, the is neutral. The electron has a charge of 1− and is a lot lighter bit with a fixed of about 0.00055 amu (it would certainly take about 1800 electron to equal the fixed of one proton. The properties of these an essential particles are summarized in Table 3. (An observant college student might notification that the sum of an atom’s subatomic particles does not equal the atom’s really mass: The total mass of six protons, six neutrons, and six electron is 12.0993 amu, slightly larger than 12.00 amu. This “missing” massive is well-known as the fixed defect, and also you will learn about it in the chapter on atom chemistry.)

NameLocationCharge (C)Unit ChargeMass (amu)Mass (g)
electronoutside nucleus−1.602 × 10−191−0.000550.00091 × 10−24
protonnucleus1.602 × 10−191+1.007271.67262 × 10−24
neutronnucleus001.008661.67493 × 10−24
Table 3. properties of Subatomic Particles

The number of protons in the nucleus of an atom is that is atomic number (Z). This is the specifying trait of one element: Its worth determines the identification of the atom. For example, any type of atom that contains six proton is the aspect carbon and also has the atom number 6, regardless of how countless neutrons or electrons it may have. A neutral atom have to contain the same variety of positive and negative charges, therefore the variety of protons equals the number of electrons. Therefore, the atom number additionally indicates the number of electrons in one atom. The total number of protons and also neutrons in one atom is dubbed its mass number (A). The variety of neutrons is because of this the difference between the fixed number and the atomic number: A – Z = number of neutrons.

\beginarrayr
= l \textatomic number (Z) & \textnumber of protons \\<1em> \textmass number (A) & \textnumber of proton + variety of neutrons \\<1em> \textA - Z & \textnumber that neutrons \endarray

Atoms space electrically neutral if they contain the same number of positively fee protons and negatively charged electrons. Once the number of this subatomic particles room not equal, the atom is electrically charged and also is dubbed an ion. The charge of an atom is identified as follows:

Atomic fee = variety of protons − variety of electrons

As will be discussed in much more detail later in this chapter, atom (and molecules) typically acquire charge by gaining or shedding electrons. An atom that gains one or an ext electrons will certainly exhibit a negative charge and is called an anion. Positively charged atoms called cations are created when one atom loser one or much more electrons. Because that example, a neutral sodium atom (Z = 11) has 11 electrons. If this atom loses one electron, it will become a cation v a 1+ charge (11 − 10 = 1+). A neutral oxygen atom (Z = 8) has eight electrons, and if the gains two electrons the will become an anion with a 2− charge (8 − 10 = 2−).


Example 1

Composition of one AtomIodine is an important trace facet in our diet; the is necessary to develop thyroid hormone. Inadequate iodine in the diet have the right to lead come the advancement of a goiter, one enlargement the the thyroid gland (Figure 2).

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Figure 2. (a) poor iodine in the diet can reason an enlargement that the thyroid gland referred to as a goiter. (b) The addition of tiny amounts of iodine come salt, which stays clear of the formation of goiters, has helped eliminate this worry in the united state where salt intake is high. (credit a: change of work-related by “Almazi”/Wikimedia Commons; credit transaction b: modification of occupational by Mike Mozart)

The enhancement of small amounts of iodine to table salt (iodized salt) has essentially got rid of this health worry in the united States, however as much as 40% that the world’s population is quiet at risk of iodine deficiency. The iodine atom are included as anions, and each has a 1− charge and also a mass number of 127. Recognize the numbers of protons, neutrons, and also electrons in one of these iodine anions.

Solution

The atomic variety of iodine (53) tells united state that a neutral iodine atom includes 53 protons in its nucleus and 53 electrons external its nucleus. Since the sum of the number of protons and neutrons equates to the fixed number, 127, the number of neutrons is 74 (127 − 53 = 74). Due to the fact that the iodine is added as a 1− anion, the number of electrons is 54 <53 – (1–) = 54>.

Check your Learning

An ion the platinum has actually a mass number of 195 and contains 74 electrons. How many protons and also neutrons does it contain, and what is the charge?


Chemical Symbols

A chemical symbol is an abbreviation the we usage to suggest an facet or an atom of an element. Because that example, the symbol because that mercury is Hg (Figure 3). We use the exact same symbol to indicate one atom that mercury (microscopic domain) or to brand a container of many atoms of the facet mercury (macroscopic domain).

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Figure 3. The price Hg to represent the facet mercury regardless of the amount; it could represent one atom the mercury or a large amount the mercury.

The symbols for several usual elements and also their atom are provided in Table 4. Some icons are obtained from the common name that the element; others room abbreviations the the surname in one more language. Most symbols have one or two letters, but three-letter symbols have been supplied to define some aspects that have actually atomic numbers greater than 112. To protect against confusion with other notations, only the first letter that a price is capitalized. For example, Co is the symbol for the facet cobalt, yet CO is the notation because that the compound carbon monoxide, which contains atoms the the facets carbon (C) and also oxygen (O). All well-known elements and also their symbols are in the periodic table in number 2 in chapter 2.5 The regular Table (also uncovered in attachment A).

ElementSymbolElementSymbol
aluminumAlironFe (from ferrum)
bromineBrleadPb (from plumbum)
calciumCamagnesiumMg
carbonCmercuryHg (from hydrargyrum)
chlorineClnitrogenN
chromiumCroxygenO
cobaltCopotassiumK (from kalium)
copperCu (from cuprum)siliconSi
fluorineFsilverAg (from argentum)
goldAu (from aurum)sodiumNa (from natrium)
heliumHesulfurS
hydrogenHtinSn (from stannum)
iodineIzincZn
Table 4. Some usual Elements and Their Symbols

Traditionally, the discoverer (or discoverers) the a brand-new element names the element. However, until the surname is recognized by the worldwide Union the Pure and Applied Chemistry (IUPAC), the recommended name of the new element is based on the Latin word(s) because that its atomic number. For example, facet 106 was dubbed unnilhexium (Unh), facet 107 was referred to as unnilseptium (Uns), and also element 108 was dubbed unniloctium (Uno) for numerous years. These elements are now called after scientists (or occasionally locations); because that example, aspect 106 is now known as seaborgium (Sg) in respect of glenn Seaborg, a Nobel compensation winner who was active in the exploration of several heavy elements.


Visit this website to learn much more about IUPAC, the international Union of Pure and Applied Chemistry, and also explore its regular table.


Isotopes

The symbol because that a certain isotope of any element is written by placing the mass number as a superscript come the left of the element symbol (Figure 4). The atomic number is occasionally written together a subscript coming before the symbol, but because this number defines the element’s identity, together does the symbol, that is often omitted. Because that example, magnesium exists together a mixture of three isotopes, each through an atomic number of 12 and with mass number of 24, 25, and also 26, respectively. These isotopes deserve to be identified as 24Mg, 25Mg, and 26Mg. This isotope symbols are read as “element, mass number” and can it is in symbolized constant with this reading. For instance, 24Mg is check out as “magnesium 24,” and can be created as “magnesium-24” or “Mg-24.” 25Mg is review as “magnesium 25,” and also can be composed as “magnesium-25” or “Mg-25.” every magnesium atoms have 12 proton in their nucleus. They different only because a 24Mg atom has actually 12 neutron in that is nucleus, a 25Mg atom has actually 13 neutrons, and a 26Mg has 14 neutrons.

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Figure 4. The symbol because that an atom indicates the aspect via its usual two-letter symbol, the fixed number as a left superscript, the atom number as a left subscript (sometimes omitted), and also the charge as a best superscript.

Information around the naturally arising isotopes of facets with atomic numbers 1 with 10 is offered in Table 5. Note that in enhancement to conventional names and symbols, the isotope of hydrogen are frequently referred to using common names and also accompanying symbols. Hydrogen-2, symbolized 2H, is additionally called deuterium and also sometimes symbolized D. Hydrogen-3, symbolized 3H, is also called tritium and sometimes symbolized T.

ElementSymbolAtomic NumberNumber of ProtonsNumber that NeutronsMass (amu)% organic Abundance
hydrogen_1^1\textH

(tritium)

1123.01605— (trace)
helium_2^3\textHe2213.016030.00013
_2^4\textHe2224.0026100
lithium_3^6\textLi3336.01517.59
_3^7\textLi3347.016092.41
beryllium_4^9\textBe4459.0122100
boron_5^10\textB55510.012919.9
_5^11\textB55611.009380.1
carbon_6^12\textC66612.000098.89
_6^13\textC66713.00341.11
_6^14\textC66814.0032— (trace)
nitrogen_7^14\textN77714.003199.63
_7^15\textN77815.00010.37
oxygen_8^16\textO88815.994999.757
_8^17\textO88916.99910.038
_8^18\textO881017.99920.205
fluorine_9^19\textF991018.9984100
neon_10^20\textNe10101019.992490.48
_10^21\textNe10101120.99380.27
_10^22\textNe10101221.99149.25
Table 5. Nuclear Compositions of atom of the very Light Elements

Use this construct an Atom simulator to develop atoms that the very first 10 elements, check out which isotope exist, examine nuclear stability, and also gain suffer with isotope symbols.


Atomic Mass

Because every proton and each ghost contribute about one amu to the massive of one atom, and each electron contributes far less, the atomic mass that a single atom is around equal come its fixed number (a totality number). However, the median masses of atom of most elements are not totality numbers since most elements exist naturally as mixtures of two or an ext isotopes.

The fixed of an facet shown in a regular table or noted in a table of atom masses is a weighted, median mass of all the isotopes existing in a naturally occurring sample of that element. This is same to the amount of every individual isotope’s mass multiply by its spring abundance.


\displaystyle \textaverage mass = \sum_i (\textfractional abundance \times \textisotopic mass)_i

For example, the element boron is composed of two isotopes: about 19.9% of every boron atoms are 10B v a massive of 10.0129 amu, and also the staying 80.1% are 11B with a massive of 11.0093 amu. The typical atomic mass for boron is calculated come be:


= l} \textboron mean mass & (0.199 \times 10.0129 \;\textamu) + (0.801 \times 11.0093 \;\textamu) \\<1em> & 1.99 \;\textamu + 8.82 \;\textamu \\<1em> & 10.81 \;\textamu \endarray

It is important to know that no single boron atom weighs precisely 10.8 amu; 10.8 amu is the average mass of every boron atoms, and also individual boron atoms weigh either about 10 amu or 11 amu.


Example 2

Calculation of typical Atomic MassA meteorite found in central Indiana has traces that the noble gas neon choose up indigenous the solar wind throughout the meteorite’s trip through the solar system. Evaluation of a sample that the gas showed that it had 91.84% 20Ne (mass 19.9924 amu), 0.47% 21Ne (mass 20.9940 amu), and 7.69% 22Ne (mass 21.9914 amu). What is the average mass of the neon in the solar wind?

Solution


= l} \textaverage mass & (0.9184 \times 19.9924 \;\textamu) + (0.0047 \times 20.9940 \;\textamu)+(0.0769 \times 21.9914 \;\textamu) \\<1em> & (18.36+0.099+1.69) \;\textamu \\<1em> & 20.15 \;\textamu \endarray

The average mass of a neon atom in the solar wind is 20.15 amu. (The median mass the a terrestrial neon atom is 20.1796 amu. This an outcome demonstrates that we may find slight distinctions in the herbal abundance that isotopes, depending upon their origin.)

Check your LearningA sample of magnesium is discovered to save 78.70% of 24Mg atom (mass 23.98 amu), 10.13% of 25Mg atom (mass 24.99 amu), and also 11.17% the 26Mg atom (mass 25.98 amu). Calculation the average mass the a Mg atom.


Example 3

Calculation the Percent AbundanceNaturally developing chlorine consists of 35Cl (mass 34.96885 amu) and 37Cl (mass 36.96590 amu), through an mean mass that 35.453 amu. What is the percent composition of Cl in regards to these two isotopes?

SolutionThe median mass that chlorine is the portion that is 35Cl time the massive of 35Cl plus the fraction that is 37Cl times the fixed of 37Cl.


\textaverage mass = (\textfraction of \ ^35\textCl \ \times \ \textmass of \ ^35\textCl) + (\textfraction of \ ^37\textCl \ \times \ \textmass of \ ^37\textCl)

If we let x represent the portion that is 35Cl, then the fraction that is 37Cl is represented by 1.00 − x.

(The fraction that is 35Cl + the fraction that is 37Cl must include up come 1, so the fraction of 37Cl must equal 1.00 − the fraction of 35Cl.)

Substituting this into the median mass equation, us have:


= l}35.453 \;\textamu & (x \times 34.96885 \;\textamu) + <(1.00 - x) \times 36.96590\;\textamu> \\<1em> 35.453 & 34.96885x + 36.96590 - 36.96590x \\<1em> 1.99705x & 1.513 \\<1em> x & \frac1.5131.99705 = 0.7576 \endarray

So fixing yields: x = 0.7576, which way that 1.00 − 0.7576 = 0.2424. Therefore, chlorine is composed of 75.76% 35Cl and 24.24% 37Cl.

Check her LearningNaturally occurring copper consists of 63Cu (mass 62.9296 amu) and 65Cu (mass 64.9278 amu), with an average mass the 63.546 amu. What is the percent ingredient of Cu in terms of these 2 isotopes?


Visit this site to do mixtures of the key isotopes the the an initial 18 elements, obtain experience with average atomic mass, and also check naturally developing isotope ratios using the Isotopes and also Atomic mass simulation.


The occurrence and also natural abundances that isotopes deserve to be experimentally established using an instrument referred to as a fixed spectrometer. Massive spectrometry (MS) is widely provided in chemistry, forensics, medicine, ecological science, and also many other areas to analyze and aid identify the building material in a sample that material. In a usual mass spectrometer (Figure 5), the sample is vaporized and also exposed to a high-energy electron beam that causes the sample’s atom (or molecules) to end up being electrically charged, typically by shedding one or much more electrons. This cations climate pass with a (variable) electrical or magnetic field that deflects every cation’s path to an level that counts on both that is mass and also charge (similar to exactly how the path of a large steel round bearing rolling previous a magnet is deflected come a lesser degree that the of a small steel BB). The ions room detected, and a plot of the relative number of ions generated versus their mass-to-charge ratios (a mass spectrum) is made. The elevation of each vertical attribute or height in a mass spectrum is proportional come the fraction of cations through the stated mass-to-charge ratio. Because its early use during the breakthrough of modern-day atomic theory, multiple sclerosis has advanced to become a an effective tool for chemical evaluation in a wide selection of applications.

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Figure 5. analysis of zirconium in a mass spectrometer produces a massive spectrum with peaks mirroring the various isotopes that Zr.

See an computer animation that defines mass spectrometry. Clock this video clip from the Royal society for Chemistry for a quick description of the rudiments of mass spectrometry.


Key Concepts and Summary

An atom consists of a small, positively charged nucleus surrounded by electrons. The nucleus contains protons and also neutrons; the diameter is around 100,000 times smaller sized than the of the atom. The fixed of one atom is typically expressed in atom mass devices (amu), which is described as the atomic mass. One amu is identified as specifically \frac112 that the mass of a carbon-12 atom and also is equal to 1.6605 × 10−24 g.

Protons are fairly heavy particles through a fee of 1+ and also a fixed of 1.0073 amu. Neutrons are relatively heavy particles with no charge and also a massive of 1.0087 amu. Electrons space light particles v a fee of 1− and a mass of 0.00055 amu. The variety of protons in the cell nucleus is referred to as the atom number (Z) and also is the residential property that defines an atom’s elemental identity. The amount of the number of protons and also neutrons in the cell core is called the mass number and, to express in amu, is approximately equal come the mass of the atom. One atom is neutral once it has equal number of electrons and also protons.

Isotopes that an element are atoms with the very same atomic number but different fixed numbers; isotope of an element, therefore, different from each other only in the variety of neutrons in ~ the nucleus. Once a naturally arising element is written of numerous isotopes, the atomic mass of the facet represents the typical of the masses the the isotopes involved. A chemistry symbol identifies the atom in a substance using symbols, which are one-, two-, or three-letter abbreviations for the atoms.

Key Equations\displaystyle \textaverage mass = \sum_i (\textfractional abundance \times \textisotopic mass)_i

Chemistry end of chapter Exercises

In what way are isotope of a offered element always different? In what way(s) space they always the same?Write the symbol because that each of the complying with ions:

(a) the ion v a 1+ charge, atomic number 55, and also mass number 133

(b) the ion v 54 electrons, 53 protons, and 74 neutrons

(c) the ion with atomic number 15, fixed number 31, and also a 3− charge

(d) the ion through 24 electrons, 30 neutrons, and a 3+ charge

Write the symbol for each that the complying with ions:

(a) the ion through a 3+ charge, 28 electrons, and a mass number of 71

(b) the ion v 36 electrons, 35 protons, and also 45 neutrons

(c) the ion with 86 electrons, 142 neutrons, and a 4+ charge

(d) the ion with a 2+ charge, atom number 38, and mass number 87

Determine the variety of protons, neutrons, and electrons in the complying with isotopes the are provided in medical diagnoses:

(a) atom number 9, fixed number 18, fee of 1−

(b) atom number 43, fixed number 99, charge of 7+

(c) atomic number 53, atom mass number 131, fee of 1−

(d) atomic number 81, atomic mass number 201, charge of 1+

(e) name the aspects in components (a), (b), (c), and also (d).

The complying with are nature of isotope of two elements that are important in ours diet. Identify the number of protons, neutrons and also electrons in each and name them.

(a) atom number 26, massive number 58, charge of 2+

(b) atomic number 53, fixed number 127, fee of 1−

Give the number of protons, electrons, and also neutrons in neutral atom of each of the complying with isotopes:

(a) _5^10\textB

(b) _80^199\textHg

(c) _29^63\textCu

(d) _6^13\textC

(e) _34^77\textSe

Give the number of protons, electrons, and neutrons in neutral atom of each of the adhering to isotopes:

(a) _3^7\textLi

(b) _52^125\textTe

(c) _47^109\textAg

(d) _7^15\textN

(e) _15^31\textP

An element has the following natural abundances and also isotopic masses: 90.92% abundance with 19.99 amu, 0.26% abundance v 20.99 amu, and 8.82% abundance through 21.99 amu. Calculation the mean atomic massive of this element.Average atom masses listed by IUPAC are based on a research of speculative results. Bromine has actually two isotopes 79Br and also 81Br, whose masses (78.9183 and 80.9163 amu) and abundances (50.69% and also 49.31%) were determined in previously experiments. Calculate the average atomic mass of bromine based on these experiments.Variations in average atomic mass may be observed for facets obtained from various sources. Lithium provides an example of this. The isotopic composition of lithium from naturally emerging minerals is 7.5% 6Li and also 92.5% 7Li, which have actually masses of 6.01512 amu and 7.01600 amu, respectively. A commercial source of lithium, recycle from a army source, was 3.75% 6Li (and the remainder 7Li). Calculate the typical atomic mass worths for each of these two sources.The mean atomic masses the some elements may vary, depending on the resources of your ores. Naturally emerging boron consists of 2 isotopes with accurately recognized masses (10B, 10.0129 amu and 11B, 11.0931 amu). The actual atomic mass of boron can vary indigenous 10.807 come 10.819, depending upon whether the mineral source is from Turkey or the joined States. Calculation the percent abundances leading to the two values that the typical atomic masses the boron from these two countries.The 18O:16O abundance ratio in some meteorites is greater than that used to calculation the mean atomic mass of oxygen top top earth. Is the typical mass of an oxygen atom in this meteorites better than, much less than, or equal to the of a terrestrial oxygen atom?

Glossary

anionnegatively fee atom or molecule (contains more electrons than protons)atomic massaverage fixed of atoms of one element, to express in amuatomic mass unit (amu)(also, merged atomic mass unit, u, or Dalton, Da) unit that mass same to \frac112 that the massive of a 12C atomatomic number (Z)number of proton in the nucleus of an atomcationpositively charged atom or molecule (contains fewer electrons than protons)chemical symbolone-, two-, or three-letter abbreviation provided to represent an aspect or the atomsDalton (Da)alternative unit equivalent to the atomic mass unitfundamental unit the charge(also referred to as the elementary charge) equates to the magnitude of the fee of one electron (e) with e = 1.602 × 10−19 Cionelectrically fee atom or molecule (contains unequal number of protons and electrons)mass number (A)sum of the number of neutrons and also protons in the cell core of an atomunified atom mass unit (u)alternative unit indistinguishable to the atom mass unit

Solutions

Answers come Chemistry end of thing Exercises

2. (a) 133Cs+; (b) 127I−; (c) 31P3−; (d) 57Co3+

4. (a) Carbon-12, 12C; (b) This atom includes six protons and also six neutrons. Over there are six electrons in a neutral 12C atom. The net charge of together a neutral atom is zero, and also the fixed number is 12. (c) The coming before answers are correct. (d) The atom will certainly be stable since C-12 is a stable isotope that carbon. (e) The coming before answer is correct. Other answers for this practice are feasible if a different element of isotope is chosen.

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6. (a) Lithium-6 has three protons, 3 neutrons, and also three electrons. The isotope symbol is 6Li or _3^6\textLi. (b) 6Li+ or _3^6 \textLi^+

8. (a) Iron, 26 protons, 24 electrons, and 32 neutrons; (b) iodine, 53 protons, 54 electrons, and 74 neutrons

10. (a) 3 protons, 3 electrons, 4 neutrons; (b) 52 protons, 52 electrons, 73 neutrons; (c) 47 protons, 47 electrons, 62 neutrons; (d) 7 protons, 7 electrons, 8 neutrons; (e) 15 protons, 15 electrons, 16 neutrons

12. Let united state use neon as an example. Since there space three isotopes, over there is no method to be sure to accurately predict the abundances to make the full of 20.18 amu typical atomic mass. Let united state guess the the abundances space 9% Ne-22, 91% Ne-20, and also only a trace of Ne-21. The typical mass would certainly be 20.18 amu. Check the nature’s mix the isotopes shows that the abundances are 90.48% Ne-20, 9.25% Ne-22, and also 0.27% Ne-21, so our guessed amounts have to be contempt adjusted.

14. 79.904 amu

16. Turkey source: 0.2649 (of 10.0129 amu isotope); us source: 0.2537 (of 10.0129 amu isotope)