Resolution (mass spectrometry)

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Controversy

IUPAC and ASMS 1991 (Price 1991) define resolution as m/Δm.

ASMS 1997 (Voyksner 1997), Marshall (Marshall 2002), Sparkman (Sparkman 2006) define resolution as Δm and resolving power as m/Δm.

Gold Book

Gold Book

GOLD BOOK DEFINITION

IUPAC. Compendium of Chemical Terminology, 2nd ed. (the Gold Book). Compiled by A. D. McNaught and A.Wilkinson. Blackwell Scientific Publications, Oxford (1997).

Resolution (mass spectrometry)

resolution in mass spectroscopy [sic]

(energy): By analogy with the peak width definition for mass resolution, a peak showing the number of ions as a function of their translational energy should be used to give a value for the energy resolution.

(10 per cent valley definition): Let two peaks of equal height in a mass spectrum at masses m and m - Δm be separated by a valley which at its lowest point is just 10 per cent of the height of either peak. For similar peaks at a mass exceeding m, let the height of the valley at its lowest point be more (by any amount) than ten per cent of either peak height. Then the resolution (10 per cent valley definition) is m/Δm. It is usually a function of m. The ratio m/Δm should be given for a number of values of .

(peak width definition): For a single peak made up of singly charged ions at mass in a mass spectrum, the resolution may be expressed as where is the width of the peak at a height which is a specified fraction of the maximum peak height. It is recommended that one of three values 50%, 5% or 0.5% should always be used. For an isolated symmetrical peak recorded with a system which is linear in the range between 5% and 10% levels of the peak, the 5% peak width definition is technically equivalent to the 10% valley definition. A common standard is the definition of resolution based upon being Full Width of the peak at Half its Maximum height, sometimes abbreviated 'FWHM'. This acronym should preferably be defined the first time it is used.

Source: PAC, 1991, 63, 1541 (Recommendations for nomenclature and symbolism for mass spectroscopy (including an appendix of terms used in vacuum technology). (Recommendations 1991)) on page 1554

Orange Book, p. 203

IUPAC Gold Book
Index of Gold Book Terms


Orange Book

Orange Book

ORANGE BOOK DEFINITION

IUPAC. Analytical Division. Compendium of Analytical Nomenclature (the Orange Book). Definitive Rules, 1979 (see also Orange Book 2023)

Resolution (mass spectrometry)

Resolution: 10 Per Cent Valley Definition

Let two peaks of equal height in a mass spectrum at masses m and m - Δm be separated by a valley which at its lowest point is just 10% of the height of either peak. For similar peaks at a mass exceeding m , let the height of the valley at its lowest point be more (by any amount) than 10% of either peak. Then the resolution (10% valley definition) is m / Δm. The ratio m /Δm should be given for a number of values of m.

Resolution: Peak Width Definition

For a single peak made up of singly charged ions at mass m in a mass spectrum, the resolution may be expressed as m / Δm, where Δm is the width of the peak at a height which is a specified fraction of the maximum peak height. It is recommended that one of three values 50%, 5% or 0.5% should always be used. (Note that for an isolated symmetrical peak recorded with a system which is linear in the range between 5% and 10% levels of the peak, the 5% peak width definition is equivalent to the 10% valley definition. A common standard is the definition of resolution based upon Δm being Full Width of the peak at Half its Maximum (FWHM) height.

IUPAC 1997 Orange Book Chapter 12
Index of Orange Book Terms


Price 1991

From Standard Definitions of Terms Relating to Mass Spectrometry : A report from the Committee on Measurements and Standards of the American Society for Mass Spectrometry:

Resolution: 10% valley definition, m/Δm. Let two peaks of equal height in a mass spectrum at masses m and m-Δm be???????????separated by a valley that at its lowest point is just 10% of the height of either peak. For similar peaks at a mass exceeding m, let the height of the valley at its lowest point be more (by any amount) than 10% of either peak height. Then the resolution (10% valley definition) is m/Δm. It is usually a func- tion of m, therefore m/Δm should be given for a number of values of m.

Resolution: peak width definition, m/Δm. For a single peak made up of singly charged ions at mass m in a mass spectrum, the resolution may be expressed as m/Δm, where Am is the width of the peak at a height that is a specified fraction of the maximum peak height. It is recommended that one of three values 50%, 5%, or 0.5% be used. For an isolated symmetrical peak, recorded with a system that is linear in the range between 5% and 10% levels of the peak, the 5% width defmition is technically equivalent to the Photo-ionization. 10% valley defmition. A common standard is the definition of resolution based upon Δm being full width of the Desk at half its maximum heieht, sometimes abbreviated ??????????FWHM.??????????

Resolving power (mass). The ability to distinguish between ions differing slightly in mass-to-charge ratio. It may be characterized by giving the peak width, measured in mass units, expressed as a function of mass, for at least two points on the peak, specihcally for 50% and for 5% of the maximum peak height.

1997 ASMS Poster

From the ASMS Terms and Definitions Poster:

Resolution of the Confusion on Peak Separation

Mass resolving power and mass resolution have been used interchangeably throughout the literature, so the confusion surrounding their exact meaning is understandable. In his forthcoming book, "Guide to Mass Spectrometry," Ken Busch advocates definitions that are consistent these proposed terminologies for mass resolution and mass resolving power. In most disciplines, resolution is understood to be the smallest observable change in a quantity, whereas resolving power, i.e. the ability to distinguish two closely spaced quantities, is inversely proportional to resolution.

Proposed definitions:

mass resolution - the mass (actually, m/z) difference, Dmx that exists between two adjacent peaks in a mass spectrum that are of equal size and shape (Gaussian, Lorentzian, triangular) with a specified amount of overlap, where the subscript "x" denotes the overlap criterion (10% valley, Full Width at Half Height [FWHH], etc.) See Usage Note for mass resolving power and theoretical mass resolving power

mass resolving power - m/Dmx, where Dmx is the mass resolution See Usage Note for theoretical mass resolving power

Usage note: Although the definition of mass resolution is contingent upon two adjacent, mass spectral peaks of equal size and shape, which is almost never the case experimentally, it is acceptable to calculate the mass resolving power or mass resolution from a single peak. An assumption is made about the peak shape, whereby the peak width at 5% height for a single peak would be approximately equivalent to the distance between the apexes of two peaks with a 10% valley between them. This assumption is not unreasonable for most common peak shapes encountered in mass spectrometry. Therefore, the mass resolving power that is obtained by dividing the mass (m/z) value at the apex of a peak by the peak width at 5% of the peak height could be indicated as m/Dm10%V theoretical mass resolving power -

Usage note: Theoretical mass resolving power is useful for determining the relative difficulty in separating two peaks in a mass spectrum. The "masses" are actually m/z values, and the subscript "d" indicates that the criterion used to determine Dm is simply the difference in mass between the two peaks. One should be careful to notice the subtle distinction between Dmd, a quantity that is independent of instrumental performance, and Dmx, a quantity that is determined by instrumental performance. It is important to realize that the theoretical mass resolving power makes no peak shape assumptions. Therefore, the choice of overlap criterion, i.e., 10% valley, full width half height, etc. is the link between the theoretical mass resolving power and the experimentally measured "mass resolving power." For an instrument to be capable of separating two particular ions, the instrument must possess a mass resolving power (over the range m + Dm) that is greater than the theoretical mass resolving power calculated for the ions in question. For example, if it is desired to determine whether or not a particular mass spectrometer is capable of resolving 41K+ from 40Ar1H+, determine the theoretical mass resolving power:

Next, the instrumental mass resolving power of the instrument at m/z = 41 is compared with the theoretical mass resolving power. For a quadrupole based instrument, a 10% valley overlap would correspond to a Dm of approximately 1 Da, assuming typical scan rates are used. For a peak at m/z = 41, this corresponds to a "mass resolving power" = 41. Therefore, this particular instrument does not possess mass resolving power capable of separating these two species. >From the preceding discussion, it is apparent that even greater mass resolving power would be required for a separation if two adjacent peaks if the peaks are not of equal size and shape. The lesser peak could be lost in the "wings" of the larger peak.

Another comment: Note that resolving power is dimensionless, but when defined as peakwidth, it usually has units of "parts-per-million" (of mass). Thus, a resolution of 10,000 corresponds to 100 ppm.

Sparkman


Definition of resolution in mass spectrometry books

Books defining resolution as m/Δm

Mass Spectrometry and its Applications to Organic Chemistry
J. H. Beynon
Elsevier, 1960
Mass Spectrometry ???????????? Organic Chemical Applications
Klaus Biemann
McGraw-Hill, 1962
Lasers and Mass Spectrometry
By David M. Lubman
Oxford University Press US, 1990
ISBN 0195059298
Interpretation of Mass Spectra
Fred W. McLafferty, Turecek
University Science Books, 1993
Language: English
ISBN 0935702253
Mass Spectrometry: Clinical and Biomedical Applications
By Dominic M. Desiderio
Springer, 1993
ISBN 0306442612
Practical Organic Mass Spectrometry: A Guide for Chemical and Biochemical Analysis
J. R. Chapman
Wiley_Default, 1995
ISBN 047195831X
Mass Spectrometry for Chemists and Biochemists
Robert Alexander Walker Johnstone, M. E. Rose
Cambridge University Press, 1996
ISBN 0521424976
Introduction to Mass Spectrometry
By J. Throck Watson
Lippincott-Raven, 1997
ISBN 0397516886
Ionization Methods in Organic Mass Spectrometry
By Alison E. Ashcroft, Royal Society of Chemistry (Great Britain)
Royal Society of Chemistry, 1997
ISBN 0854045708
Accelerator Mass Spectrometry: Ultrasensitive Analysis for Global Science
Claudio Tuniz, John R. Bird, Gregory F. Herzog, David Fink
CRC Press, 1998
ISBN 0849345383
Mass Spectrometry in Biology & Medicine
By A. L. Burlingame, Steven A. Carr, Michael A. Baldwin
Humana Press, 1999
ISBN 0896037991
Mass Spectrometry and Genomic Analysis
J. Nicholas Housby
Springer, 2001
ISBN 0792371739
Mass Spectrometry Basics
Christopher G. Herbert, Robert Alexander Walker Johnstone
CRC Press, 2002
ISBN 0849313546
Liquid Chromatography Mass Spectrometry: An Introduction Robert E. Ardrey
Wiley, 2003
ISBN 0471498017
Mass Spectrometry: A Textbook
J???????rgen H. Gross
Springer, 2004
ISBN 3540407391
Quadrupole Ion Trap Mass Spectrometry
By Raymond E. March, John F. Todd
Wiley-IEEE, 2005
ISBN 0471717975
The Expanding Role of Mass Spectrometry in Biotechnology
Gary Siuzdak
McC Pr, 2006
ISBN 0974245127
Quantitative Applications of Mass Spectrometry
Pietro Traldi, Franco Magno, Irma Lavagnini, Roberta Seraglia
Wiley, 2006
ISBN 0470025166
Assigning Structures to Ions in Mass Spectrometry
John L. Holmes, Christiane Aubry, Paul M. Mayer
CRC, 2006
ISBN 0849319501
Mass Spectrometry: Principles and Applications
Edmond de Hoffmann, Vincent Stroobant
Wiley-Interscience, 2007
ISBN 047003310X
Quantitative Proteomics by Mass Spectrometry (Methods in Molecular Biology)
Salvatore Sechi
Humana Press, 2007
ISBN 1588295710
Computational Methods for Mass Spectrometry Proteomics
Ingvar Eidhammer, Kristian Flikka, Lennart Martens, Svein-Ole Mikalsen
Wiley-Interscience, 2008
ISBN 0470512970

Books defining resolution as Δm

Mass Spectrometry Desk Reference
David Sparkman
Global View, 2006
ISBN 0966081390
Introduction to Mass Spectrometry: Instrumentation, Applications, and Strategies for Data Interpretation
J. Throck Watson, O. David Sparkman
Wiley, 2007
Language: English
ISBN 0470516348
Fundamentals of Contemporary Mass
Chhabil Dass, 2007
ISBN 0471682292
Proteomics in Practice: A Guide to Successful Experimental Design
Reiner Westermeier, Tom Naven, Hans-Rudolf H??????pker
Wiley, 2008
ISBN 3527319417

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