Determination of the best experimental conditions for using the α parameters method to calculate matrix corrections for infinitely thick targets (TTPIXE)

Delbrouck-Habaru, J.M.; Weber, G.; Aloupogiannis, P.; Robaye, G.; Roelandts, Iwan

doi:10.1016/0168-583x(93)96055-h

Cited by 8 publications

(8 citation statements)

References 12 publications

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“…With p = 0.7 and introducing the α parameter formalism (α = µ/S(E)) the T (E) factor approximated by Aloupogiannis and co-workers [12][13][14] is…”

Section: Theorymentioning

confidence: 99%

“…E r is a constant energy called the reference energy and is equal to 2.5 MeV in our case and S(E r ) is positive [13,14]. T (u) can be given by relation (4) where u replaces δE.…”

Section: Theorymentioning

confidence: 99%

“…Uncertainties in the cross section values are always greater than 2.5% [17] and the errors in the stopping power are greater than 1% [18]. Equation ( 5) is used to evaluate the measured intensity [13,14]. The integral in equation ( 5) is a function of the α parameter and of the experimental factors E 0 , φ and θ .…”

Section: Theorymentioning

confidence: 99%

“…It expresses the influence of matrix effects on the measured intensity. This function is called the matrix factor f [13,14]…”

Section: Theorymentioning

confidence: 99%

“…The alpha parameter is characteristic of a given x-ray energy and a particular matrix at a given proton energy. The alpha parameter method for intermediate thickness is described by Aloupogiannis and co-workers [12][13][14]. The alpha (α) parameter is calculated by two PIXE measurements performed at different incident beam energy.…”

Section: Introductionmentioning

confidence: 99%

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Characterization of the interface between hydroxyapatite coating film and bone: use of a new expression to correct matrix effects for PIXE measurements in thick samples embedded in resin

Jallot¹,

Benhayoune²,

Weber

et al. 2000

J. Phys. D: Appl. Phys.

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Development of biomaterials for use as bone substitute requires better control of the process of materials degradation and bone substitution. At present, composite implants of alloy coated with bioceramic are being developed. In this paper, a cylinder made of TiAl 6 V 4 alloy coated with hydroxyapatite is used to simulate a hip prosthesis integration. Physico-chemical evaluations are needed to determine such an implant osseointegration process. Use of the particle induced x-ray emission (PIXE) method with histological sections results in quantitative cartography of elements at the bone-implant interface. The sensitivity of the PIXE method in measuring low concentrations of elements gives information to better understand bioresorption of calcium phosphate ceramics and events occurring at this dynamic interface. However, concentration evolution in different elements is still going on and reflects the ceramic resorption. In our case, the alpha parameter method based on experimental determination of the correction of matrix effects is useful as it allows data corrections to be calculated without hypotheses about matrix composition. In the present paper, we propose an expression to calculate directly the correction factor and an application to the characterization of the interface between hydroxyapatite coating film and bone.

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“…With p = 0.7 and introducing the α parameter formalism (α = µ/S(E)) the T (E) factor approximated by Aloupogiannis and co-workers [12][13][14] is…”

Section: Theorymentioning

confidence: 99%

“…E r is a constant energy called the reference energy and is equal to 2.5 MeV in our case and S(E r ) is positive [13,14]. T (u) can be given by relation (4) where u replaces δE.…”

Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

“…It expresses the influence of matrix effects on the measured intensity. This function is called the matrix factor f [13,14]…”

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Characterization of the interface between hydroxyapatite coating film and bone: use of a new expression to correct matrix effects for PIXE measurements in thick samples embedded in resin

Jallot¹,

Benhayoune²,

Weber

et al. 2000

J. Phys. D: Appl. Phys.

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In vivo characterization of the interface between cortical bone and biphasic calcium phosphate by the PIXE method

Jallot¹,

Irigaray²,

Weber³

et al. 1999

Surf. Interface Anal.

Self Cite

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The aim of this study is to evaluate the resorption of a calcium phosphate ceramic composed of 75% hydroxyapatite and 25% β‐tricalcium phosphate (HTCP) used as a biomaterial. The animal implantation has been made in the cortical femur of sheep. Delays of 2, 4, 8, 12, 16, 20, 28, 36 and 48 weeks between graft and analysis were used. The samples were a section of cortical bone containing the implant. The mechanism of bioceramic degradation was studied by the particle‐induced x‐ray emission (PIXE) method. The bone/implant interface was analysed and Ca, P, Zn, Fe and Sr were measured for the nine delay periods. We found a discontinuity of elemental concentration at the interface. Thus, we observed evolution of the concentration of each element in HTCP according to time after implantation. Then we determined the kinetics of resorption. Copyright © 1999 John Wiley & Sons, Ltd.

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A discussion of the compared advantages and drawbacks of the use of the α parameters matrix effects correction method of PIXE measurements on infinite or intermediate thickness targets

Weber

Delbrouck-Habaru

Aloupogiannis

et al. 1993

Nuclear Instruments and Methods in Physics Research Section B:

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Determination of the best experimental conditions for using the α parameters method to calculate matrix corrections for infinitely thick targets (TTPIXE)

Cited by 8 publications

References 12 publications

Characterization of the interface between hydroxyapatite coating film and bone: use of a new expression to correct matrix effects for PIXE measurements in thick samples embedded in resin

Characterization of the interface between hydroxyapatite coating film and bone: use of a new expression to correct matrix effects for PIXE measurements in thick samples embedded in resin

In vivo characterization of the interface between cortical bone and biphasic calcium phosphate by the PIXE method

A discussion of the compared advantages and drawbacks of the use of the α parameters matrix effects correction method of PIXE measurements on infinite or intermediate thickness targets

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