Chlorine-35 2026-11-05
Chlorine-35 is a stable isotope of chlorine, with 17 protons and 18 neutrons in its atomic nucleus. Its mass number is , while its measured relative atomic mass is approximately . NIST lists representative natural fractions for chlorine-35 and for chlorine-37.[ref]
Those fractions explain a characteristic mass spectrometry pattern. In an idealized sample of with independently paired isotope identities, the three molecular combinations have probabilities
The middle term has a factor of two because either atom can be the heavier isotope. For singly charged molecular ions, the combinations give nominal mass peaks at 70, 72 and 74. A mass spectrometer separates ions by mass-to-charge ratio, so the two-unit spacing encodes isotope composition rather than three different chemical elements. These are ideal abundance predictions; actual peak intensities also depend on fragmentation and instrumental response.
Chlorine-35 is the stable daughter in sulfur-35 beta-minus decay: increases from 16 to 17 while the mass number remains 35.[ref] Neither that origin nor the presence of chlorine-35 makes an ordinary chlorine-containing compound radioactive.
Chlorine-37 2026-11-05
Chlorine-37 is a stable isotope of chlorine containing protons and neutrons. Its mass number is , which is distinct from its measured relative atomic mass and from the average atomic weight of a natural chlorine sample.
NIST's representative isotopic composition lists about chlorine-37 and chlorine-35.[ref] The two stable isotopes explain characteristic peaks separated by two nominal mass units in chlorine-containing mass spectra. Exact peak patterns also depend on the number of chlorine atoms and other isotopes present.
The nuclear reaction
conserves electric charge and total nucleon count: and . Its nuclear reaction Q-value is the initial minus final rest energy. It is additional to the incoming beam kinetic energy; the accelerator triggers a rearrangement whose products can carry much more kinetic energy than the incident proton.
Use one consistent set of neutral-atom isotope masses, in unified atomic mass units, from the National Institute of Standards and Technology:
These are isotope masses, not element-averaged atomic weights.[ref] With ,[ref]
The four electron rest masses cancel between sides. Differences of total electronic binding energies do not cancel exactly: this atomic-mass result approximates the bare-nucleus nuclear reaction Q-value at the displayed scale, not at arbitrary precision. No mixture of rounded nuclear binding energies is needed. At chosen incident kinetic energy on a stationary target, the two outgoing alpha particles together carry approximately before losses in the target and detector window.
Figure 1.
Reaction energy and the laboratory recoil of two alpha particles
. Original calculation using the stated neutral-atom isotope masses, electron-mass subtraction and neglected electronic binding corrections. Chosen incident proton energy 0.500 MeV and stationary lithium-7 target; no target or detector losses. Left: energy released by the mass difference plus incident kinetic energy. Right: exact two-body relativistic transformation within these mass assumptions; equal and opposite center-of-mass momenta need not give equal laboratory kinetic energies. Curves parameterize paired events and are not an angular probability distribution or historical data. Details.
Sulfur-32 2026-11-05
Sulfur-32 is a stable isotope of sulfur whose atomic nucleus contains 16 protons and 16 neutrons. Its mass number is , the sum of those counts. The measured relative atomic mass is approximately ; a mass number is an integer count, whereas a relative atomic mass is a mass ratio.[ref]
The same NIST table gives a representative isotopic abundance of , or , making sulfur-32 the predominant natural sulfur isotope. This is a representative composition, not an immutable percentage in every sample. Using the listed sulfur-34 fraction , the corresponding isotope ratio is : about 4.47 sulfur-34 atoms per 100 sulfur-32 atoms.[ref] An isotope ratio and a percentage of all sulfur atoms have different denominators.
Sulfur-32 is also the daughter of phosphorus-32 beta-minus decay. One nuclear neutron becomes a proton, changing to while retaining mass number .[ref] This connects a radioactive tracer to a stable daughter without turning their chemical identities into the same thing.
Sulfur-34 2026-11-05
Sulfur-34 is a stable isotope of sulfur with 16 protons and 18 neutrons in its atomic nucleus. Its mass number is , while its relative atomic mass is approximately . NIST lists a representative isotopic abundance of , or , alongside for sulfur-32.[ref] The representative composition does not require every natural sample to have exactly those fractions.
Comparing sulfur-34 with sulfur-32 illustrates how an isotope ratio differs from a fraction of all sulfur. The representative ratio is
In an idealized measurement that has already corrected differences in response and interferences, suppose the inferred atom counts are and . Their ratio is , about higher than that representative ratio. This compares two isotopes; calculating the sulfur-34 fraction of all sulfur additionally needs the other isotopes in the denominator. Raw mass spectrometer signals are not automatically corrected atom counts.
Sulfur-34 and sulfur-32 have the same atomic number, so replacing one with the other preserves the element while changing nuclear mass. This makes isotope composition an additional descriptor of a sulfur-containing sample, distinct from its chemical formula. A stable isotope also provides a different kind of label from radioactive sulfur-35: its usefulness does not depend on detecting radioactive decay.