The optical constants, n and k, of three transition metals (Cr, Co, and Pd) were determined from the measured reflection electron energy-loss spectroscopy (REELS) spectra, covering the spectral energy range from visible to vacuum ultraviolet. To do this, a spectral data analysis technique [Xu et al., Phys. Rev. B 95, 195417 (2017)], which combines a sophisticated Monte Carlo simulation for modelling the experimental REELS spectrum and the simulated annealing algorithm for the determination of the true energy loss function (ELF) was adopted. The validity of the obtained ELFs was discussed by comparing with the previous data derived by optical methods and by applying the oscillator strength and the perfect screening-sum rules. Besides, the consistency of the calculated data was evaluated for three in situ measurements for each sample at three primary energies. The complex dielectric function, the refractive index n and the extinction coefficient k were then derived from the obtained ELF via the analytical Kramers-Kronig relation.

1.
E. D.
Palik
,
Handbook of Optical Constants of Solids
(
Academic Press
,
New York
,
1985
).
2.
E. D.
Palik
,
Handbook of Optical Constants of Solids
(
Academic Press
,
New York
,
1991
), Vol. 2.
3.
J.
Daniels
,
C. V.
Festenberg
,
H.
Raether
, and
K.
Zeppenfeld
,
Optical Constants of Solids by Electron Spectroscopy
(
Springer
,
New York
,
1970
), pp.
77
135
.
4.
R. F.
Egerton
,
Electron Energy Loss Spectroscopy in the Electron Microscope
, 2nd ed. (
Plenum Press
,
New York
,
1986
).
5.
C.
Werenkel
and
B.
Gauthé
,
Phys. Status Solidi B
64
,
515
(
1974
).
7.
J. C.
Ingram
,
K. W.
Nebesny
, and
J. E.
Pemberton
,
Appl. Surf. Sci.
44
,
279
(
1990
).
8.
F.
Yubero
,
J. M.
Sanz
,
E.
Elizalde
, and
L.
Galan
,
Surf. Sci.
237
,
173
(
1990
).
9.
F.
Yubero
,
S.
Tougaard
,
E.
Elizalde
, and
J. M.
Sanz
,
Surf. Interface Anal.
20
,
719
(
1993
).
10.
H.
Yoshikawa
,
Y.
Irokawa
, and
R.
Shimizu
,
J. Vac. Sci. Technol. A
13
,
1984
(
1995
).
11.
T.
Nagatomi
,
T.
Kawano
, and
R.
Shimizu
,
J. Appl. Phys.
83
,
8016
(
1998
).
12.
W. S. M.
Werner
,
Appl. Phys. Lett.
89
,
213106
(
2006
).
13.
H.
Jin
,
H.
Shinotsuka
,
H.
Yoshikawa
,
H.
Iwai
,
S.
Tanuma
, and
S.
Tougaard
,
J. Appl. Phys.
107
,
083709
(
2010
).
14.
B.
Da
,
Y.
Sun
,
S. F.
Mao
,
Z. M.
Zhang
,
H.
Jin
,
H.
Yoshikawa
,
S.
Tanuma
, and
Z. J.
Ding
,
J. Appl. Phys.
113
,
214303
(
2013
).
15.
D.
Tahir
,
J.
Kraaer
, and
S.
Tougaard
,
J. Appl. Phys.
115
,
243508
(
2014
).
16.
S.
Tougaard
and
I.
Chorkendorff
,
Phys. Rev. B
35
,
6570
(
1987
).
17.
W. S. M.
Werner
,
K.
Glantschnig
, and
C.
Ambrosch-Draxl
,
J. Phys. Chem. Ref. Data
38
,
1013
(
2009
).
18.
W. S. M.
Werner
,
Surf. Sci.
526
,
L159
(
2003
).
19.
F.
Yubero
and
S.
Tougaard
,
Phys. Rev. B
46
,
2486
(
1992
).
20.
F.
Yubero
,
J. M.
Sanz
,
B.
Ramskov
, and
S.
Tougaard
,
Phys. Rev. B
53
,
9719
(
1996
).
21.
F.
Yubero
,
N.
Pauly
,
A.
Dubus
, and
S.
Tougaard
,
Phys. Rev. B
77
,
245405
(
2008
).
22.
S.
Hajati
,
O.
Romanyuk
,
J.
Zemek
, and
S.
Tougaard
,
Phys. Rev. B
77
,
155403
(
2008
).
23.
D.
Tahir
and
S.
Tougaard
,
J. Phys.: Condens. Matter
24
,
175002
(
2012
).
24.
N.
Pauly
,
F.
Yubero
,
J. P.
Espinos
, and
S.
Tougaard
,
Appl. Opt.
56
,
6611
(
2017
).
25.
N. F.
Mott
,
Proc. R. Soc. London A
124
,
425
(
1929
).
26.
27.
F.
Yubero
and
S.
Tougaard
,
Surf. Interface Anal.
19
,
269
(
1992
).
28.
H.
Xu
,
B.
Da
,
J.
Tóth
,
K.
Tőkési
, and
Z. J.
Ding
,
Phys. Rev. B
95
,
195417
(
2017
).
29.
H.
Xu
,
L. H.
Yang
,
B.
Da
,
J.
Tóth
,
K.
Tőkési
, and
Z. J.
Ding
,
Nucl. Instrum. Methods B
406
,
475
(
2017
).
30.
B.
Da
,
S. F.
Mao
, and
Z. J.
Ding
,
J. Phys.: Condens. Matter
23
,
395003
(
2011
).
31.
Y. C.
Li
,
Y. H.
Tu
,
C. M.
Kwei
, and
C. J.
Tung
,
Surf. Sci.
589
,
67
(
2005
).
32.
L.
Kövér
,
D.
Varga
,
I.
Cserny
,
J.
Tóth
, and
K.
Tökési
,
Surf. Interface Anal.
19
,
9
(
1992
).
33.
J.
Chastain
,
R. C.
King
, and
J.
Moulder
,
Handbook of X-ray Photoelectron Spectroscopy: A Reference Book of Standard Spectra for Identification and Interpretation of XPS Data
(
Physical Electronics Division, Perkin-Elmer Corporation Eden Prairie
,
Minnesota
,
1992
).
34.
J.
Toth
,
J. Surf. Anal.
1
,
101
(
1995
).
35.
Y.
Yamazaki
, “
Studies on electron scattering by mercury atoms and electron spin polarization detector
,” Ph.D. thesis (
Osaka University
,
1977
).
36.
R. A.
Bonham
and
T. G.
Strand
,
J. Chem. Phys.
39
,
2200
(
1963
).
37.
C. J.
Tung
,
Y. F.
Chen
,
C. M.
Kwei
, and
T. L.
Chou
,
Phys. Rev. B
49
,
16684
(
1994
).
38.
Y. F.
Chen
and
C. M.
Kwei
,
Surf. Sci.
364
,
131
(
1996
).
39.
A. C.
Simonsen
,
F.
Yubero
, and
S.
Tougaard
,
Phys. Rev. B
56
,
1612
(
1997
).
40.
41.
Z. J.
Ding
,
J. Phys.: Condens. Matter
10
,
1733
(
1998
).
42.
Z. J.
Ding
,
J. Phys.: Condens. Matter
10
,
1753
(
1998
).
43.
Z. J.
Ding
and
R.
Shimizu
,
Phys. Rev. B
61
,
14128
(
2000
).
44.
A.
Rivacoba
and
P. M.
Echenique
,
Scanning Microsc.
4
,
1
(
1990
).
45.
A.
Rivacoba
,
N.
Zabala
, and
J.
Aizpurua
,
Prog. Surf. Sci.
65
,
1
(
2000
).
46.
R. H.
Ritchie
and
A.
Howie
,
Philos. Mag.
36
,
463
(
1977
).
47.
S.
Kirkpatrick
,
C. D.
Gelatt
, and
M. P.
Vecchi
,
Science
220
,
671
(
1983
).
48.
B. L.
Henke
,
E. M.
Gullikson
, and
J. C.
Davis
,
At. Data Nucl. Data Tables
54
,
181
(
1993
).
49.
D. Y.
Smith
and
E.
Shiles
,
Phys. Rev. B.
17
,
4689
(
1978
).
50.
P.
Johnson
and
R.
Christy
,
Phys. Rev. B
9
,
5056
(
1974
).
51.
A. C.
Yu
,
T. M.
Donovan
, and
W. E.
Spicer
,
Phys. Rev.
167
,
670
(
1968
).
52.
J. C.
Fuggle
and
N.
Mårtensson
,
J. Electron Spectrosc.
21
,
275
(
1980
).
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