1
%
36.966
amu
73.932
amu
1.997
amu
0
%
0
%
100
%
100
%
0
%
69.938
amu
71.935
amu
73.932
amu
1
%
36.966
amu
73.932
amu
1.997
amu
0
%
0
%
100
%
100
%
0
%
69.938
amu
71.935
amu
73.932
amu
The Isotope Distribution Calculator analyzes the isotopic pattern of molecules containing elements with two naturally occurring isotopes. When a molecule contains multiple atoms of a polyisotopic element, the resulting mass spectrum shows a characteristic isotope distribution pattern governed by binomial statistics. This pattern is crucial for mass spectrometry interpretation, where the isotope envelope helps identify molecular composition and confirm chemical formulas. For example, a molecule containing two chlorine atoms (Cl2) shows peaks at masses M, M+2, and M+4, reflecting the combinations of Cl-35 and Cl-37 isotopes. This calculator determines the average mass, probabilities of different isotopic compositions, and the most abundant molecular mass, providing essential information for interpreting experimental mass spectra and planning isotope labeling experiments.
For a molecule containing n atoms of an element with two isotopes (light with abundance p and heavy with abundance q = 1-p), the isotope distribution follows the binomial distribution:
P(k heavy) = C(n,k) x p^(n-k) x q^k
Where C(n,k) is the binomial coefficient "n choose k" and k is the number of heavy isotope atoms (0, 1, 2, ..., n).
Key calculations:
The average mass of the element is the weighted sum: M_avg = m_light x p + m_heavy x q. For molecules with multiple polyisotopic elements, the overall distribution is the convolution of individual element distributions.
The probabilities show the expected intensity pattern in a mass spectrum. The most abundant peak (base peak in the isotope envelope) corresponds to the most probable isotopic composition. For elements with a dominant light isotope (like carbon, 98.9% C-12), the M peak (all light) is strongest. For elements with more balanced abundances (like bromine, ~50/50), the mixed peaks are strongest. The mass difference between isotopes determines the spacing between peaks in the mass spectrum. The probability of the all-heavy composition is important for understanding trace isotope peaks and for isotope dilution analysis.
Inputs
Results
Chlorine-35 (75.76%) and Chlorine-37 (24.24%) in Cl2 give a characteristic 3-peak pattern: 35Cl-35Cl at 69.94 amu (57.4%), 35Cl-37Cl at 71.93 amu (36.7%), and 37Cl-37Cl at 73.93 amu (5.9%). This approximately 9:6:1 ratio is a fingerprint for dichlorinated compounds in mass spectrometry.
Inputs
Results
Bromine's nearly equal isotope abundances (50.69% Br-79, 49.31% Br-81) create a distinctive 1:2:1 pattern in Br2: 79Br-79Br (25.7%), 79Br-81Br (50.0%), and 81Br-81Br (24.3%). This symmetric pattern is instantly recognizable in mass spectra and is diagnostic for brominated compounds.
Isotope patterns serve as molecular fingerprints that help identify elemental composition. Each element has a unique isotope signature: chlorine produces peaks separated by 2 amu in a 3:1 ratio, bromine gives nearly equal peaks 2 amu apart, and sulfur shows a small M+2 peak. By matching observed patterns to calculated distributions, chemists can determine the number and type of polyisotopic elements in an unknown molecule.
In mass spectrometry, M refers to the monoisotopic peak (all atoms are the lightest isotope). M+1 is the peak one mass unit higher (one atom is a heavier isotope, typically C-13 or N-15). M+2 is two units higher (one atom of Cl-37, S-34, or Br-81, or two C-13 atoms). The M+1 and M+2 relative intensities help determine molecular formula.
More atoms create a broader isotope envelope with more peaks. For one Cl atom: 2 peaks (3:1). For two Cl atoms: 3 peaks (9:6:1). For three Cl atoms: 4 peaks (27:27:9:1). The envelope approaches a Gaussian distribution for large numbers of atoms, with the width proportional to the square root of n. This is why protein mass spectra show broad, smooth isotope envelopes.
Yes. Molecules with the same nominal mass but different formulas often have distinctly different isotope patterns. For example, C2H4O (MW 44) and CO2 (MW 44) have different M+1 intensities because C2H4O has more carbon atoms contributing to C-13 peaks. High-resolution mass spectrometry combined with isotope pattern analysis can unambiguously determine molecular formulas.
Isotope dilution adds a known amount of an enriched isotope to a sample to quantify the element or compound. By measuring the change in isotope ratio, the original amount can be calculated with very high accuracy. This technique, pioneered by Hevesy and Paneth, is considered a primary analytical method and is used for certified reference materials and forensic analysis.
Monoisotopic elements (F, Na, Al, P, Mn, Co, As, Au, etc.) contribute no isotope peaks because they have only one stable isotope. Molecules composed entirely of monoisotopic elements show a single peak with no isotope envelope. This simplifies mass spectral interpretation but provides less structural information than polyisotopic elements.
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