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Volumn 55, Issue 1, 1971, Pages 205-217

Comprehensive theory for ion cyclotron resonance power absorption: Application to line shapes for reactive and nonreactive ions

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EID: 0000537072     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1675510     Document Type: Article
Times cited : (80)

References (38)
  • 5
    • 85038184294 scopus 로고    scopus 로고
    • Varian ICR, Varian Associates, Palo Alto, California.
  • 9
    • 85038174775 scopus 로고    scopus 로고
    • The MKS atomic polarizability α in cubic meters is given by [formula omitted], where [formula omitted] is the (more commonly tabulated) cgs polarizability in cubic centimeters.
    • Compare Ref. 6, Eq. (1-8-5), and Ref. 12, Eq. (II-11-9).
  • 11
    • 84950534815 scopus 로고    scopus 로고
    • Reference 6
  • 12
    • 36849101633 scopus 로고
    • The second term on the right-hand side of each of Eqs. (7–11) of this paper is too small by a factor of 2.
    • (1969) J. Chem. Phys. , vol.50 , pp. 4125
    • Buttrill, S.E.1
  • 14
    • 84951230020 scopus 로고    scopus 로고
    • It should be noted that while there is no power absorption from the static electric fields, the static fields may affect the conditions of power absorption.
    • For instance, components of the static fields which result in a net radial electric force when averaged over the ion orbit will change the resonant frequency of an ion.
  • 16
    • 85038184726 scopus 로고    scopus 로고
    • Typical values of c are [formula omitted] a typical value of ω is [formula omitted]
  • 17
    • 84951211009 scopus 로고
    • These approximations are often made when solving damped harmonic oscillator problems.
    • Addison-Wesley, Reading, Mass.; and numerous other texts.
    • (1960) Mechanics
    • Symons, K.R.1
  • 19
    • 85038173487 scopus 로고    scopus 로고
    • These conditions are (a) that the alternating electric field intensity may be assumed uniform throughout the analyzer and zero elsewhere; (b) that the drift velocity and residence time are the same for all ions of a given mass and are known.
  • 22
    • 85038190848 scopus 로고    scopus 로고
    • Reference 3, Chap. 4.
  • 24
    • 85038176841 scopus 로고    scopus 로고
    • The steady state is defined by [formula omitted] where ξ is any of the collision frequencies in Eq. (26) and t is the time that the ion has been absorbing energy.
  • 27
    • 85038183492 scopus 로고    scopus 로고
    • References 11 and 24 give expressions for reactive ions which are valid at resonance [formula omitted] for each ion which were derived by assuming [formula omitted] is the power absorption per ion at resonance.
    • This expression is obtained from Eq. (20) by applying the limit [formula omitted] Reference 19 gives the analogous expressions for the full line shape derived from Eq. (20).
  • 28
    • 85038181282 scopus 로고    scopus 로고
    • This point is discussed in considerable detail in Ref. 24.
  • 31
    • 85038189312 scopus 로고    scopus 로고
    • Both Refs. (11) and (24) give power absorption expressions in terms of second-order rate constants rather than in terms of first-order rate constants as is done in the present work.
  • 32
    • 85038187138 scopus 로고    scopus 로고
    • Equation (36) may easily be extended to the situation where more than one secondary ion is formed from the primary ion by equating [formula omitted] to [formula omitted] where [formula omitted] is the first-order rate constant for the formation of the jth secondary ion.
  • 33
    • 85038177975 scopus 로고    scopus 로고
    • Equation (42) may easily be extended to include the situation where more than one tertiary ion is formed from the secondary ion by equating [formula omitted] to [formula omitted] where [formula omitted] is the first-order rate constant for the formation of the mth tertiary ion.
  • 35
    • 85038178284 scopus 로고    scopus 로고
    • Of course this value for the intensity ratio error is characteristic of the particular illustrative example as given.
    • In general the error will be somewhat different for other systems.
  • 38
    • 85038188608 scopus 로고    scopus 로고
    • Copies of this program are available upon request.


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