8.6 Suggested Exercises
1. Estimate the count rate for a fluorescence experiment on the Fe Kβ line of a
1 micron Fe foil at a 45
angle, excited at 8 keV, with an incident flux of 10
12
photons s
À1 and an analyzer perpendicular to the beam that accepts 1% solid
angle with 1 eV resolution. Neglect absorption of the fluorescence in the sample.
2. RIXS—Outline which RIXS processes are fully dipole allowed or fully quadrupole allowed for seeing d–d transitions using the L 1 - or L 2,3 -edges of Ni.
3. XRS—Using the Taylor series expansion, estimate where the second and third
terms have comparable amplitudes for a carbon XRS experiment at 20 keV:
exp i q
! Á r
!
% 1 þ i q
! Á r
! À
q
! Á r
!
ð Þ
2
2
þ Á Á Á
4. XRS—Estimate the count rate for a pure diamond XRS experiment at 20 keV.
Justify all of the required assumptions.
5. IXS—Derive the relationship between scattering angle and momentum transfer
for an IXS experiment (Eq. 8.22):
6. IXS—Calculate the absolute value of the momentum transfer Q if an incoming
24.797 keV photon is scattered through an angle θ ¼ 15
.
8.7 Reference Books and Review Articles
1. Electron Dynamics by Inelastic X-ray Scattering, Winfried Schülke, Oxford
University Press, New York, 2007, ISBN 978-0-19-851017-8—a deep treatment
of inelastic X-ray scattering.
2. Core Level Spectroscopy of Solids, Frank de Groot and Akio Kotani, CRC Press,
Boca Raton, 2008, ISBN 978-0-8493-9071-5.
3. X-ray Spectroscopy, B. K. Agarwal, Springer-Verlag, New York, 1979, ISBN
0-387-09268-4—a nice resource for much of the pre-synchrotron fluorescence
literature.
4. X-ray Absorption and X-ray Emission, J. A. van Bokhoven and C. Lamberti, eds.,
Wiley, Singapore, 2016, ISBN 978-1-118-84423-6. Edited volume covers synchrotron radiation and X-ray spectroscopy.
5. P. Glatzel and U. Bergmann, “High resolution 1s core hole X-ray spectroscopy in
3d transition metal complexes—electronic and structural information”, Coord.
Chem. Rev. 249, 65–95, 2005.—a nice review.
6. Synchrotron Radiation News, Vol. 31, No. 2, 2018—“Resonant Inelastic X-ray
Scattering”, an update on ultra-high resolution RIXS.
7. A. Q. R. Baron, “High-Resolution Inelastic X-ray Scattering I & II” in Synchrotron Light Sources and Free-Electron Lasers: Accelerator Physics, Instrumentation and Science, edited by E. Jaeschke, S. Khan, J. R. Schneider, & J. B.
Hastings, pp. 1643–1757. Springer International Publishing, 2016. ISBN
978-3-319-14395-8. see also https://arxiv.org/abs/1504.01—an excellent introduction to IXS.
226
8 Photon-in Photon-out Spectroscopy
1. Estimate the count rate for a fluorescence experiment on the Fe Kβ line of a
1 micron Fe foil at a 45
angle, excited at 8 keV, with an incident flux of 10
12
photons s
À1 and an analyzer perpendicular to the beam that accepts 1% solid
angle with 1 eV resolution. Neglect absorption of the fluorescence in the sample.
2. RIXS—Outline which RIXS processes are fully dipole allowed or fully quadrupole allowed for seeing d–d transitions using the L 1 - or L 2,3 -edges of Ni.
3. XRS—Using the Taylor series expansion, estimate where the second and third
terms have comparable amplitudes for a carbon XRS experiment at 20 keV:
exp i q
! Á r
!
% 1 þ i q
! Á r
! À
q
! Á r
!
ð Þ
2
2
þ Á Á Á
4. XRS—Estimate the count rate for a pure diamond XRS experiment at 20 keV.
Justify all of the required assumptions.
5. IXS—Derive the relationship between scattering angle and momentum transfer
for an IXS experiment (Eq. 8.22):
6. IXS—Calculate the absolute value of the momentum transfer Q if an incoming
24.797 keV photon is scattered through an angle θ ¼ 15
.
8.7 Reference Books and Review Articles
1. Electron Dynamics by Inelastic X-ray Scattering, Winfried Schülke, Oxford
University Press, New York, 2007, ISBN 978-0-19-851017-8—a deep treatment
of inelastic X-ray scattering.
2. Core Level Spectroscopy of Solids, Frank de Groot and Akio Kotani, CRC Press,
Boca Raton, 2008, ISBN 978-0-8493-9071-5.
3. X-ray Spectroscopy, B. K. Agarwal, Springer-Verlag, New York, 1979, ISBN
0-387-09268-4—a nice resource for much of the pre-synchrotron fluorescence
literature.
4. X-ray Absorption and X-ray Emission, J. A. van Bokhoven and C. Lamberti, eds.,
Wiley, Singapore, 2016, ISBN 978-1-118-84423-6. Edited volume covers synchrotron radiation and X-ray spectroscopy.
5. P. Glatzel and U. Bergmann, “High resolution 1s core hole X-ray spectroscopy in
3d transition metal complexes—electronic and structural information”, Coord.
Chem. Rev. 249, 65–95, 2005.—a nice review.
6. Synchrotron Radiation News, Vol. 31, No. 2, 2018—“Resonant Inelastic X-ray
Scattering”, an update on ultra-high resolution RIXS.
7. A. Q. R. Baron, “High-Resolution Inelastic X-ray Scattering I & II” in Synchrotron Light Sources and Free-Electron Lasers: Accelerator Physics, Instrumentation and Science, edited by E. Jaeschke, S. Khan, J. R. Schneider, & J. B.
Hastings, pp. 1643–1757. Springer International Publishing, 2016. ISBN
978-3-319-14395-8. see also https://arxiv.org/abs/1504.01—an excellent introduction to IXS.
226
8 Photon-in Photon-out Spectroscopy